<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" media="screen" href="/~d/styles/atom10full.xsl"?><?xml-stylesheet type="text/css" media="screen" href="http://feeds.feedburner.com/~d/styles/itemcontent.css"?><feed xmlns="http://www.w3.org/2005/Atom" xmlns:openSearch="http://a9.com/-/spec/opensearchrss/1.0/" xmlns:blogger="http://schemas.google.com/blogger/2008" xmlns:georss="http://www.georss.org/georss" xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr="http://purl.org/syndication/thread/1.0"><id>tag:blogger.com,1999:blog-9143431742429926517</id><updated>2013-06-19T12:58:25.402+02:00</updated><category term="GDP" /><category term="Census Bureau" /><category term="deflation" /><category term="firm size" /><category term="gold" /><category term="monograph" /><category term="TPREF" /><category term="JAES" /><category term="monitoring nuclear tests" /><category term="oil price" /><category term="USA" /><category term="Krugman" /><category term="BEA" /><category term="PPI" /><category term="T-notes" /><category term="mechanics" /><category term="modelling" /><category term="CPI" /><category term="productivity" /><category term="CTBTO" /><category term="cointegration test" /><category term="BLS" /><category term="science" /><category term="sh" /><category term="volatility" /><category term="labor force" /><category term="oil" /><category term="recession" /><category term="personal income distribution" /><category term="population" /><category term="steel" /><category term="inflation" /><category term="blog" /><category term="employment" /><category term="IDC" /><category term="Gini" /><category term="bankruptcy" /><category term="share price" /><category term="GDP per capita" /><category term="SP 500" /><category term="Germany" /><category term="JARF" /><category term="economics" /><category term="food" /><category term="Japan" /><category term="Phillips curve" /><category term="unemployment" /><category term="Russia" /><category term="inequality" /><category term="mechanomics" /><title type="text">Economics as Classical Mechanics</title><subtitle type="html" /><link rel="http://schemas.google.com/g/2005#feed" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/posts/default" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/" /><link rel="next" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default?start-index=26&amp;max-results=25" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><generator version="7.00" uri="http://www.blogger.com">Blogger</generator><openSearch:totalResults>648</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><atom10:link xmlns:atom10="http://www.w3.org/2005/Atom" rel="self" type="application/atom+xml" href="http://feeds.feedburner.com/EconomicsAsClassicalMechanics" /><feedburner:info xmlns:feedburner="http://rssnamespace.org/feedburner/ext/1.0" uri="economicsasclassicalmechanics" /><atom10:link xmlns:atom10="http://www.w3.org/2005/Atom" rel="hub" href="http://pubsubhubbub.appspot.com/" /><link rel="license" type="text/html" href="http://creativecommons.org/licenses/by-nc-nd/2.0/" /><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-3990045396734565552</id><published>2013-06-07T09:08:00.004+02:00</published><updated>2013-06-07T09:09:59.038+02:00</updated><title type="text">The rate of unemployment in May below 7.5%? </title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;Today a new estimate will be announced for the rate of unemployment in the USA. We have been following this variable since &lt;a href="http://ideas.repec.org/p/pra/mprapa/2735.html"&gt;2006 &lt;/a&gt;when our general model linking labor force, price inflation, and rate of unemployment was first published. Approximately a &amp;nbsp;month ago we predicted a significant drop in this rate in May 2013 as based on the fall in labor force five years ago (i.e. in 2008). The range of &lt;a href="http://online.wsj.com/mdc/public/page/2_3064-456024.html"&gt;expert predictions&lt;/a&gt; for May 2013 in 7.4% to 7.5% as reported by the WSJ Market Data Center. &lt;br /&gt;&lt;br /&gt;Our best guess is 7.3% to 7.1% as figure below suggests. &lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-CXS3hJdVoho/UbGHOdz4DzI/AAAAAAAAE5A/iWLaUSJuJ7Q/s1600/image005.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="240" src="http://1.bp.blogspot.com/-CXS3hJdVoho/UbGHOdz4DzI/AAAAAAAAE5A/iWLaUSJuJ7Q/s400/image005.png" width="400" /&gt;&lt;/a&gt;&lt;/div&gt;&amp;nbsp;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/3990045396734565552/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/06/the-rate-of-unemployment-in-may-below-75.html#comment-form" title="15 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/3990045396734565552" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/3990045396734565552" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/06/the-rate-of-unemployment-in-may-below-75.html" title="The rate of unemployment in May below 7.5%? " /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://1.bp.blogspot.com/-CXS3hJdVoho/UbGHOdz4DzI/AAAAAAAAE5A/iWLaUSJuJ7Q/s72-c/image005.png" height="72" width="72" /><thr:total>15</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-3716905635223044066</id><published>2013-05-17T07:54:00.003+02:00</published><updated>2013-05-17T07:56:04.834+02:00</updated><title type="text">Waveform cross correlation for seismic monitoring of underground nuclear explosions. Part II: Synthetic master events</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;span style="font-size: large;"&gt;A new working paper is available on arxiv.org This is a &lt;/span&gt;&lt;a href="http://arxiv.org/ftp/arxiv/papers/1305/1305.3245.pdf"&gt;&lt;span style="font-size: large;"&gt;link to pdf file&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;. &lt;/span&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;strong&gt;&lt;span style="font-size: large;"&gt;Abstract&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;Waveform cross correlation is an efficient tool for detection and characterization of seismic signals. The efficiency critically depends on the availability of master events. For the purposes of the Comprehensive Nuclear-Test-Ban Treaty, cross correlation can globally reduce the threshold monitoring by 0.3 to 0.4 magnitude units. In seismically active regions, the optimal choice of master events is straightforward. There are two approaches to populate the global grid in aseismic areas: the replication of real masters and synthetic seismograms calculated for seismic arrays of the International Monitoring System. Synthetic templates depend on the accuracy of shape and amplitude predictions controlled by focal depth and mechanism, source function, velocity structure and attenuation along the master/station path. As in Part I, we test three focal mechanisms (explosion, thrust fault, and actual Harvard CMT solution for one of the April 11, 2012 Sumatera aftershocks) and two velocity structures (ak135 and CRUST 2.0). Sixteen synthetic master events were distributed over a 1ox1o grid. We built five cross correlation standard event lists (XSEL) and compared detections and events with those built using the real and grand master events as well as with the Reviewed Event Bulletin of the International Data Centre. The XSELs built using the source of explosion and ak135 and the reverse fault with isotropic radiation pattern demonstrate the performance similar to that of the real and grand masters. Therefore, it is possible to cover all aseismic areas with synthetic masters without significant loss in seismic monitoring capabilities based on cross correlation.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/3716905635223044066/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/waveform-cross-correlation-for-seismic.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/3716905635223044066" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/3716905635223044066" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/waveform-cross-correlation-for-seismic.html" title="Waveform cross correlation for seismic monitoring of underground nuclear explosions. Part II: Synthetic master events" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-8524517340415531423</id><published>2013-05-13T12:03:00.001+02:00</published><updated>2013-05-13T22:23:45.682+02:00</updated><title type="text">Why Gavyn Davies is wrong about employment targeting</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;a href="http://blogs.ft.com/gavyndavies/2013/05/12/the-fed-dials-the-wrong-unemployment-number/"&gt;&lt;span style="font-size: large;"&gt;Gavyn Davies criti&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;cises &amp;nbsp;the Fed for wrong money policy targeting&amp;nbsp;on unemployment rate, UER, &amp;nbsp;instead of the rate of employment, E/P. He&amp;nbsp; is&amp;nbsp;right &amp;nbsp;that the rate of unemployment does not express well the full &amp;nbsp;capacity of the economy. However, the rate of employment&amp;nbsp;&amp;nbsp;is quite different from the UER. Two figures below do show that the UER&amp;nbsp;has been varying around 5% to 7% since 1948. The Fed can claim that monetary policy is effective because UER is always back to 6%. How can they say that they control E/P if it really has a strong secular component. Gavyn puts the Fed in danger to be responsible for that they can not be responsible for. It will never happen if the Fed has a bit of sense. The rate of&amp;nbsp;employment is out of control not only for the Federal Reserve but also for any authority.&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-UP68b38cICQ/UZC5fzW002I/AAAAAAAAE4c/_-VAyTZEcro/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="192" src="http://1.bp.blogspot.com/-UP68b38cICQ/UZC5fzW002I/AAAAAAAAE4c/_-VAyTZEcro/s320/image002.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-tl_JY_N5mDo/UZC5cBZRdEI/AAAAAAAAE4U/xa9c1ebvtfo/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="192" src="http://2.bp.blogspot.com/-tl_JY_N5mDo/UZC5cBZRdEI/AAAAAAAAE4U/xa9c1ebvtfo/s320/image001.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/8524517340415531423/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/why-gavyn-davies-is-wrong-about.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8524517340415531423" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8524517340415531423" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/why-gavyn-davies-is-wrong-about.html" title="Why Gavyn Davies is wrong about employment targeting" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://1.bp.blogspot.com/-UP68b38cICQ/UZC5fzW002I/AAAAAAAAE4c/_-VAyTZEcro/s72-c/image002.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-124437917591061514</id><published>2013-05-06T14:21:00.000+02:00</published><updated>2013-05-17T07:58:41.844+02:00</updated><title type="text">A fourty-year period of energy price oscillation</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-QI8b54ufawM/UYefbwaUbOI/AAAAAAAAE30/TDegUtBigDM/s1600/image003.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;img border="0" height="192" src="http://2.bp.blogspot.com/-QI8b54ufawM/UYefbwaUbOI/AAAAAAAAE30/TDegUtBigDM/s320/image003.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;Figure 1. The difference between the headline and core CPI (both seasonally adjusted) since 1957.&amp;nbsp; The V-shape suggests the similarity of the fall and rise paths. One can estimate the next peak extrapolating the current rise by the previous fall (between 1980 and 2000).&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-nlwPohjRIAA/UYeeH3yvzjI/AAAAAAAAE3Y/dqN8MyFTX9s/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;img border="0" height="192" src="http://2.bp.blogspot.com/-nlwPohjRIAA/UYeeH3yvzjI/AAAAAAAAE3Y/dqN8MyFTX9s/s320/image001.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif;"&gt;&lt;span style="font-size: large;"&gt;Figure 2. The difference between the headline and core CPI. The red curve is an inverse version of the blue curve reduced by -9 and shifted by 19 years ahead. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;One can estimate the distance between the peaks in 1981 and 2019 as the period&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;of long term oscillations, which is approximately 40 years. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-7l5o4QhRwrc/UYeeO4o98dI/AAAAAAAAE3g/Kzo9TE8q6iw/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;img border="0" height="192" src="http://1.bp.blogspot.com/-7l5o4QhRwrc/UYeeO4o98dI/AAAAAAAAE3g/Kzo9TE8q6iw/s320/image002.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif;"&gt;&lt;span style="font-size: large;"&gt;Figure 3. The difference between the energy and core CPI. The red curve is an inverse version of the blue curve reduced by -65. One can estimate the distance between the peaks as the period&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;of long term oscillations. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;The energy price is likely on a downward trend already. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/124437917591061514/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/a-fourty-year-period-of-energy-price.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/124437917591061514" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/124437917591061514" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/a-fourty-year-period-of-energy-price.html" title="A fourty-year period of energy price oscillation" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://2.bp.blogspot.com/-QI8b54ufawM/UYefbwaUbOI/AAAAAAAAE30/TDegUtBigDM/s72-c/image003.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-5021136518453664854</id><published>2013-05-05T10:52:00.003+02:00</published><updated>2013-05-17T07:57:11.240+02:00</updated><title type="text">Employment in Canada revisited</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Two years ago we presented &lt;/span&gt;&lt;a href="http://mechonomic.blogspot.co.at/2011/07/employment-in-canada.html"&gt;&lt;span style="color: blue; font-size: large;"&gt;a parsimonious model&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt; describing the evolution of employment/population ratio in Canada. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;In essence, this model is a modified Okun’s law since there exists a trade-off between the change in unemployment and employment. &lt;/span&gt;&lt;a href="http://mechonomic.blogspot.co.at/2013/05/the-beauty-of-science-unemployment-in.html"&gt;&lt;span style="color: blue; font-size: large;"&gt;Yesterday&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;, we revisited the rate of unemployment in Canada based on a complimentary model and found an extraordinary high fit between predicted and observed curves. (A comprehensive description of both models also extended by examples in other developed countries is presented in our paper &lt;/span&gt;&lt;a href="http://ideas.repec.org/a/srs/tpref1/3v3y2012i1p26-41.html"&gt;&lt;span style="color: blue;"&gt;&lt;span style="font-size: large;"&gt;“&lt;span lang="EN-GB" style="mso-ansi-language: EN-GB; mso-bidi-font-weight: bold; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-theme-font: minor-fareast; mso-font-kerning: 18.0pt;"&gt;Modeling Unemployment And Employment In Advanced Economies: Okun’S Law With A Structural Break”.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span style="font-size: large;"&gt;&lt;span lang="EN-US" style="color: #333333; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-bidi-font-weight: bold; mso-font-kerning: 18.0pt;"&gt; &lt;/span&gt;&lt;span style="color: #333333; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-bidi-font-weight: bold; mso-font-kerning: 18.0pt;"&gt;)&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: #333333; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-bidi-font-weight: bold; mso-font-kerning: 18.0pt;"&gt;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: large; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-GDrW6Nhg3_E/UYYdhnRrVjI/AAAAAAAAE24/eWGYQd0c9Ig/s1600/image002.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Figure 1 compares the change in the rate of employment (the employment/population ratio), &lt;i style="mso-bidi-font-style: normal;"&gt;de&lt;/i&gt;, and the rate of unemployment, &lt;i style="mso-bidi-font-style: normal;"&gt;du, &lt;/i&gt;in Canada. As expected, the change in the rate of unemployment is slightly more volatile (also because of lower accuracy of measurements). We have retrieved all data on unemployment and employment from the &lt;/span&gt;&lt;a href="http://data.bls.gov/pdq/querytool.jsp?survey=in"&gt;&lt;span style="color: blue; font-size: large;"&gt;U.S. Bureau of Labor Statistics&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: large; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-no-proof: yes;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;span style="font-size: large;"&gt; &lt;v:stroke joinstyle="miter"&gt; &lt;v:formulas&gt;  &lt;v:f eqn="if lineDrawn pixelLineWidth 0"&gt;  &lt;v:f eqn="sum @0 1 0"&gt;  &lt;v:f eqn="sum 0 0 @1"&gt;  &lt;v:f eqn="prod @2 1 2"&gt;  &lt;v:f eqn="prod @3 21600 pixelWidth"&gt;  &lt;v:f eqn="prod @3 21600 pixelHeight"&gt;  &lt;v:f eqn="sum @0 0 1"&gt;  &lt;v:f eqn="prod @6 1 2"&gt;  &lt;v:f eqn="prod @7 21600 pixelWidth"&gt;  &lt;v:f eqn="sum @8 21600 0"&gt;  &lt;v:f eqn="prod @7 21600 pixelHeight"&gt;  &lt;v:f eqn="sum @10 21600 0"&gt; &lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:formulas&gt; &lt;v:path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"&gt; &lt;o:lock aspectratio="t" v:ext="edit"&gt;&lt;/o:lock&gt;&lt;/v:path&gt;&lt;/v:stroke&gt;&lt;/span&gt;&lt;/v:shapetype&gt;&lt;v:shape id="Chart_x0020_4" o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQDhUTcfzwYAAOYbAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPx P4x8b7PfzUbdVNnNbgNt2ijZFvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8C b2ZsryfrkLSNoILmkLWff/O+35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE 9Lw5kd6V9fffu4zXfEbTCcciGEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FA zFYatVpnJcY08daBo9KMhgz+JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44Zjc Ux5iWCr40PNq5s9bWb+8gteyQUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6 wc8AsO+DpVaXMs/WaLXez3mWQPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgD svj2Er7V3xgMOg7egCy+s4QfXep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1i yhN1Uq7F+C4XIwBoIMOKJkjNUzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599 //LZE3R0/+nR/Z+OHjw4uv+jZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8 FuY9//Lxb08fP//q09+/e1gB3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ng P1SRg74xxyyLjqNHn7gevC2gfVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJW xu1ifFAle4ATJ77DWQp9M09Lx/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6 ZEwnTjYtBm3RGOIyr7IZ4u34Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWS e3Phl3FDqSDSIWEcDQMiZdWYmwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy 9gO5DymK0Q5XVfBt7laIfoc44OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD 59eOoQE+//pRRWa9rY14A+akqkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5U z2dttIveCm1XrxvsotgskeMTV8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4 +oiqaC/CKSyw655mEsqMdShRyiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYz F9TUDM4qrHkpYwpmv46wulbqzNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc7 9+ZhMVE4zxDJCAcki5G2ezlGdROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn 8CJKum6PlSNLysXJEnTY87rtRttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2C OhxTWL8vGez0gVRItYllZFPDfMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5R tO/sa9ZK+UwRsRcFh2jCZmIXQ/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12i eSVbuKnjQgfzVlIPbKvU3Rj36qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qP BCwcTO+AbIGzWPgMSQUnyOZXkAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2Qy qqSuTK3aE3JA2Fj3wI6e2z0UQaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82 C5rc/4WKFbOqHW+G53Nv2RD9YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDe g/Q/mP+o8Jm9bdAT6pjvQm9FcNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3k HnO21uws8X5FZxeLM1ecU4vn6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET 3B15QGtoWkPT4AkuhGCxZG9xel72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekf D+W3GbCCy24/8qbqXM2t/wUAAP//AwBQSwMEFAAGAAgAAAAhAF4cjxV4AQAAGQQAAB8AAABjbGlw Ym9hcmQvZHJhd2luZ3MvZHJhd2luZzEueG1spFPLTsMwELwj8Q+W7zR9hUfUtIeWIi5QCfiAleMk FrEd2W5o/551apRQkEDtxbLX3tmZnfVssZMVabixQquUjgZDSrhiOhOqSOnb6/rqlhLrQGVQacVT uueWLuaXFzNICgN1KRhBBGUTSGnpXJ1EkWUll2AHuuYK73JtJDg8miLKDHwgsqyi8XB4HUkQis47 qBU4IFsjToCqNHvn2RJUAxYhK5b0I4Fjxc5HhkQ1D6Z+qTfGM2dPzcYQkaUUO6dAYotoFC7CMzxG R1lFB7DLjfTvdZ6TXYuy92uLwXeOMAzGN5PxaBpTwvBucjcZx3EcqpTPv+Sx8v6PTCR0KIybHplg 6dqgEE/KS21NbiPHiqdfipclGEemPeH9pE5/P+rhQ7ne9owJYJ4EWs+SdhcsP8XxA1IAMP8ZGTRP ML7SbCu5cofhNrwCh7/KlqK2lJjED4l5zEa+TW3b23Z4xf2zb8Y5M/Hd2a7jWOPoU/Sr/mDxCQAA //8DAFBLAwQUAAYACAAAACEAZwPuhs4AAACsAQAAKgAAAGNsaXBib2FyZC9kcmF3aW5ncy9fcmVs cy9kcmF3aW5nMS54bWwucmVsc6yQzWrDMAyA74O9g9F9VtLDGKNOL6XQ6+geQDjKD01sY6llffuZ FsYChV56kZCEPn1ovfmZJ3PmLGMMDmpbgeHgYzuG3sH3Yff2AUaUQktTDOzgwgKb5vVl/cUTaVmS YUxiCiWIg0E1fSKKH3gmsTFxKJMu5pm0lLnHRP5IPeOqqt4x/2dAs2Cafesg79sVmMMllcuP2bHr Rs/b6E8zB71zArV4cQFS7lkdWHvr3GJtiyvgfY36mRp+oKwLjWtH8Jr+PHDx4+YXAAD//wMAUEsD BBQABgAIAAAAIQAj53Xz8gAAAGgBAAAmAAAAY2xpcGJvYXJkL2NoYXJ0cy9fcmVscy9jaGFydDEu eG1sLnJlbHOEkMFKxDAQhu+C7xAGPNp09yCyNF1EV+hBBF1vBRmTaRs3zYQkK923NxfBBcHLwDDM 9/98zXaZnfiimCx7BauqBkFes7F+VPC2f7y+BZEyeoOOPSk4UYJte3nRvJDDXJ7SZEMSheKTginn sJEy6YlmTBUH8uUycJwxlzWOMqA+4EhyXdc3Mv5mQHvGFJ1REDuzArE/hZL8P5uHwWp6YH2cyec/ IiQ7ev74JJ0LFONIWcFgHZXKstv0O82eZ6tT/0p0KAbuXJiwP16t6yKgTOqpv0ePBt+pWlxafjBP bErD3ZIpenQg20ae+Wm/AQAA//8DAFBLAwQUAAYACAAAACEAcEZ6aRsLAAC5NAAAGwAAAGNsaXBi b2FyZC9jaGFydHMvY2hhcnQxLnhtbOxbTXPbyBG9pyr/gWE5t5DE4BssS1uyFHu3Yscqf+whlxQE jCTEIMAFQFvyr8+bAWYGgDUt0dnNyTxIINDT6O7XM3jTaD7/6W5XLj7zpi3q6mTJ1s5ywauszovq 5mT58cPLVbxctF1a5WlZV/xkec/b5U+nf/7T82yb3aZN936fZnwBJVW7zU6Wt1233242bXbLd2m7 rve8wrXrutmlHb42N5u8Sb9A+a7cuI4TbqSS5aAg/Q4Fu7So1PjmKePr6+si4xd1dtjxquutaHiZ dohAe1vs2+UpnMvTjrPE8Ref0/Jk6Sw34mSZVjf9CV6tXr3oTzb1ocp5fl43FcI4kt9l27Oy400F Ved11eFug5+7J0VqlzafDvtVVu/2MO6qKIvuXpoLA6H7/LaGH4t3/LdD0fD2ZJkxXwUCh9+EYldk Td3W190aGjd9FBQaQm20iTfugAecZf627e5L3jvEHFd4u9H3lSa8TMvyKs0+idiMhLWouS4GzoMh Rkn4xUF66OoPRVfyC17yjuejOGbbfVl3Zw1PhWCZ3teHThzt0uqQlq/19/7Kh7S54V0/vKgASY/S 3Zs6H3zh+Q3vT94/dPJuuPWaOVHshonvszBCKiRsGNRfd9d+HPh+4DqJ7zAWJdHfV9LxbPtFaYj9 xPXD2PHDKIi8wBuu3+rrCRTHccJiJ2AJCz0Z47lnm7HTbZZ2yKlzMfdEEIbv7w1U7a6uu9s3SB7l ++e0uT+vy3qSnRjKG6GhyJXHvX91k/NmsLA/093JO3XNO34tjq5P+b9f/eXZz8/Yc9gmT7Vdc55i 0ovL++4cU2KAYAjavlvgPmIiCYnPpzkXQz8jo4S8/GdU4By+yJvhcLj7/hLWptuyWnzBOuVGjlCV btu6LPKXRVnKL2LZ4eflYH53J+++mUntm7a7SNsBhfa+vag7GXihvTdF3kzgIIIonb/fXdVYKMVi kBVNVg4Z1BZfh6xK+li1g51VLYzClOmVPmCCNvOqxBQaDBi5A7Mn5iAUxp67X1N4nG2rw24Kytmz cPsMfyINDUQ0NP1CfI6pcPqKY26kpRSTy7M8O4cvHFJ2jp/rMHcdTDEUSPYoswFlSDG7lGukHLuU p6WcxC7lG6nYLhUYqcguFRqp0C4VGanALhUbKd8ulRgpzy7F1OTBYk0F30TfIaLPTPgdIvxMxZ8l CRF/PHr6iQ0xAgCmEIAYgQBTEECMgIApDCBGYMAUCBAjQGAKBYgRKLgKBYgRKLgKBYgRKLgKBYgR KLgGhZhAwTUoxAQKrkEhJlBwDQoxgYJrUIgJFFyDQkyg4BoUYgIFz6AQEyh4BoWYQAEPZpW9MYGC Z1CICBQ8g0JEoOAZFCICBc+gEBEoeAaFiEDBMyhEBAqeQSEiUPANChGBgm9QiAgUfINCRKDgGxRC AgXfoBASKPgGhZBAwTcohAQKvkEhJFDwDQohgYJvUAgJFAKDQkigEBgUQgKFwKAQEigEBoWAQCEw KAQECoFBISBQCAwKAYFCYFAICBQCg0JAoBAYFAIChdCgEBAohAaF4BsUQPEMW+u/KBasCN+9jfj9 LIgf/jxK/Jy14zjfSfvkOMPav2V8zhrkZPRxY99GElWeJWswC/3xPRZiI2UbpLJuxdaxHiMOmJWM qgw86j4qH4kZoHLxCJdVXlrDqDLSWYMPjD5BZA2jyk5njS3R6ENEXhNJZx2ORjgO862BZypvV0f4 qznmMcYpiJ0ZwnEQ27JCs084NIoaWKE9bpqKHhMEhTmC8GSANEtF4CbGRSy0OmQSwZrXmq/CGG+i mIiUZq+YQN4Ee9+zGaOprH1aahoLW6wGaxJLyajZKksLD600mrw662TiQBBa80Mz2SNyytBaFILG H2adipriHpGGmu8eg6Jmvyt3HU2gj6wTWFNhIvqaB1Myan6yeTrbb61APWKqaXYs4jIOv+O71mlj uPJ8jDW5NW8+Kv5mek6fQsTMM5TaPkM0nz5iRmtyPXuoEFxCcYi+UtgXtfpKmS4KzmuDQxlvVBsc zlhqg2//h9rgKj9MlyK48jsUB0XZ77GaW7r9Y4qDwbQ4OKryoTD4pKKlKAX+v4uIvlxQZX3X0FIU fE258GlFROzY5OsTVR5UTPlHEVERQpBmYqOiVhtIEfsURQQhRWxTNPeDGLFN0XQPYt9sU0a0X5F4 iBHPjB9FRPmSw8RN0zCwSAIFzbwgRqCg2RfECBQ0/8I7J2LL/qOIOANLMyfEjUBBkyeIESj8KCLO wqtJD0v+6CIiwYkera+8FfWVt88efyaiviLoy+gpOX+pZnseYnEPPcdzoghvgz3fZTFRCVH7cexE /cALXSbeMCeBS2xPhiI3yGUYxmHsBT7eavtB7NsJ9TAEu0Upl7ixF8I4P7Huz9CDYFw/WQ4MQemZ FmGS0A8IFwNK1Xw3ncTW/UdI67FuWCN6nD/ZljieNYpoobGHZE71E19W8B7a+ia0nuk21Qmsex5w AMIgagsPWkCPfHJMUBoiNKFeNNnWEuCCW9CKJiihp2O6tzDPZNE9Q8E0tShO7OF9JG+t+YbXnoQF q6PmDqpOhK557YRIXrw9JRRZlwFUp4hhyDHBGM2HwAVcidb05C046BSlyX16oYdMXjGBptkb2ktG j2TvNEoOs5e4yOxFX9/0k9hmAcprRIyOqZ+RyWzNG5TdyPtPi9xU2pB5ewxEdCZbPUGRjvBk5a1n a6U1R8A/CUWzso9Zz8BHv2vYIxkZTxMpsvtPZqQotz1ZE5mTK7sFZArCgmkNP3GtswJVQiKWYEfT 9yiOdYnH+3dC0RGcBuVEUtHcIOvTCvSbUmRbJ1B2JIaJJdA6ksxLxHL6liSZLXkEh39CXTN/fVW2 sqHvtv7ymt/wKv8Hv590O7a4gpes35w7T7t/pruh229oCBay73nz4PlL3mSi5Vf2DI7kXxyurkr+ XjcOykvwSpuW3v0ytL+ywAeljwGRrJ+NL4ROELMolG2DKI/OukJxzzPZtDkeMtGFESXasEUo6qaA nbL/uTd2V1Rv0rv+njjuT2J3piwdjc1lt+7Ex/Tush7aoK96HSgevtx1D6bLoq0PCNProvrEc/R1 DjdN/1M3H4rsk+hi7ZWj51cbNL8m+prb/mqHQYBYW1Dxu+5D3V+TYmdDsysLRhFEH7JQwQezRS/y v3gzHvaCd184H0KxK3Ikg1AK2HSo9cE45pObjOJGxBw6R4J0gEvlNRqnBZR9Nb4psltRLb6q8/vL ZtHU3clyFfSPm6Vo9sf327r5KgajybTtZPew/LIXZ4YW1pxfv7tshJf6VCMuN9ApOuFPluiC//i+ 19KdvutS/rfFXxdCXHT0QrAfKsPU2wTfehPtXdzHN2r3MVCTeO1GbuC4zHPRnO15biJr77jxtF0c J4wNNWKCb6M0FoaKbnQR1AfSF2vmNHGHGbo7LnHxywWEV9zqyVk7mcS/Q9Y+2K8sWqxdkTDYtqdb 3cr8QEfypDNfLqfCn1Ie6UnY9F6aeE+hyLbHY76OQhYx1Ek80TDCInAkGckBQ3cdhw7zGF4Wgol7 4QO9+SyIQ9QyPN9PPByiD0wq0L35DJWYJPL8kIWBE/qxbIT+jjTqYyGiImL1a9G+rcrBysHmvGj3 LzChPrVnwwJ0k+57a8Tz5UI8st4iQ7EmTzNU/3hCgdi/JLLiJSZf30Xfrwxw+NHpv2i/YlkWqbC4 Gn4HY5YDPD0v0ybFKjFfEISMnPf9HbMt1mHxS5jyIu3SRYMfHZwsm1/yvogl1tuPe/GLm6l/4zFS mXRY/uLo9L8AAAD//wMAUEsBAi0AFAAGAAgAAAAhAMLury4WAQAAoQIAABMAAAAAAAAAAAAAAAAA AAAAAFtDb250ZW50X1R5cGVzXS54bWxQSwECLQAUAAYACAAAACEArTA/8cEAAAAyAQAACwAAAAAA AAAAAAAAAABHAQAAX3JlbHMvLnJlbHNQSwECLQAUAAYACAAAACEA4VE3H88GAADmGwAAGgAAAAAA AAAAAAAAAAAxAgAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWxQSwECLQAUAAYACAAAACEAXhyP FXgBAAAZBAAAHwAAAAAAAAAAAAAAAAA4CQAAY2xpcGJvYXJkL2RyYXdpbmdzL2RyYXdpbmcxLnht bFBLAQItABQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAAAAAAAAAAAAAAO0KAABjbGlwYm9hcmQv ZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHNQSwECLQAUAAYACAAAACEAI+d18/IAAABo AQAAJgAAAAAAAAAAAAAAAAADDAAAY2xpcGJvYXJkL2NoYXJ0cy9fcmVscy9jaGFydDEueG1sLnJl bHNQSwECLQAUAAYACAAAACEAcEZ6aRsLAAC5NAAAGwAAAAAAAAAAAAAAAAA5DQAAY2xpcGJvYXJk L2NoYXJ0cy9jaGFydDEueG1sUEsFBgAAAAAHAAcABAIAAI0YAAAAAA== " o:spid="_x0000_i1027" style="height: 309.5pt; visibility: visible; width: 451.5pt;" type="#_x0000_t75"&gt;&lt;span style="font-size: large;"&gt; &lt;v:imagedata cropbottom="-10f" cropright="-22f" o:title="" src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png"&gt; &lt;o:lock aspectratio="f" v:ext="edit"&gt;&lt;/o:lock&gt;&lt;/v:imagedata&gt;&lt;/span&gt;&lt;/v:shape&gt;&lt;/span&gt;&lt;a href="http://2.bp.blogspot.com/-GDrW6Nhg3_E/UYYdhnRrVjI/AAAAAAAAE24/eWGYQd0c9Ig/s1600/image002.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="219" src="http://2.bp.blogspot.com/-GDrW6Nhg3_E/UYYdhnRrVjI/AAAAAAAAE24/eWGYQd0c9Ig/s320/image002.gif" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;Figure 1. The (negative) change in the rate of employment compared to the change in the rate of unemployment in Canada.&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;Two years ago we estimated several models of employment/population ratio, &lt;i style="mso-bidi-font-style: normal;"&gt;e&lt;/i&gt;. For Canada, the best-fit model has been obtained by the least-squares (applied to the cumulative sums):&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: large; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;/span&gt;&lt;/i&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;de&lt;sub&gt;t&lt;/sub&gt; = &lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;0.40&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG&lt;sub&gt;t&lt;/sub&gt; – &lt;/i&gt;0.67&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;lt;&lt;/i&gt;1984 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;de&lt;sub&gt;t&lt;/sub&gt; = &lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;0.44&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG&lt;sub&gt;t&lt;/sub&gt; – &lt;/i&gt;0.56&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;gt;&lt;/i&gt;1983&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;(1)&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;where &lt;i style="mso-bidi-font-style: normal;"&gt;dlnG&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt; is the change rate of real GDP per capita at time &lt;i style="mso-bidi-font-style: normal;"&gt;t&lt;/i&gt;. Figure 2 shows the cumulative curves for the time series in (1). We did not fix the initial value in 1971 and obtained it from the regression. There is a structural break near 1984 which is expressed by a slight shift in the slope of the regression line and a 0.11 change in the intercept term. Since the latter term is cumulated over years one can consider this change as a significant one. It makes a 1.1% employment change over 10 years. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;The break is needed because of the change to definitions and measurement procedures rather than actual break in the long-run link between &lt;i style="mso-bidi-font-style: normal;"&gt;e&lt;/i&gt; and &lt;i style="mso-bidi-font-style: normal;"&gt;G&lt;/i&gt;. In any case, functional dependence between these two variables stays untouched.&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;The employment/population ratio varies between from ~54.5% in 1971 and ~64.1% (!) in 2008. The agreement between the actual and predicted curves in Figure 2 is excellent. We added two readings for 2011 and 2012 which practically coincide. This observation validates our original model and we will continue reporting on the evolution of employment/population ratio in Canada.&lt;/span&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Figure 3 present results of a linear regression with R&lt;sup&gt;2&lt;/sup&gt;=0.88 for the period between 1971 and 2012. The standard error of the model is 0.82% which is chiefly related to the first ten years where measurements were rather crude. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-RWvi3UNfd6c/UYYdqrjdNyI/AAAAAAAAE3A/v1JYapT9ccI/s1600/image004.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="219" src="http://1.bp.blogspot.com/-RWvi3UNfd6c/UYYdqrjdNyI/AAAAAAAAE3A/v1JYapT9ccI/s320/image004.gif" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Figure 2. The cumulative curves for the observed and predicted change in the employment/population ratio, &lt;i style="mso-bidi-font-style: normal;"&gt;de&lt;/i&gt;.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-MDLZnPMxMus/UYYdwNIkKiI/AAAAAAAAE3I/0V47Bjnxxlo/s1600/image006.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="219" src="http://2.bp.blogspot.com/-MDLZnPMxMus/UYYdwNIkKiI/AAAAAAAAE3I/0V47Bjnxxlo/s320/image006.gif" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="-ms-text-justify: inter-ideograph; background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Figure 3. Linear regression of the measured and predicted curves in Figure 2. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/5021136518453664854/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/employment-in-canada-revisited.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/5021136518453664854" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/5021136518453664854" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/employment-in-canada-revisited.html" title="Employment in Canada revisited" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://2.bp.blogspot.com/-GDrW6Nhg3_E/UYYdhnRrVjI/AAAAAAAAE24/eWGYQd0c9Ig/s72-c/image002.gif" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-7800536282793374608</id><published>2013-05-04T21:51:00.001+02:00</published><updated>2013-05-17T07:57:58.359+02:00</updated><title type="text">A fairy tale about the future rate of unemployment in the US</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;The rate of unemployment, u, was very high (10%) in 2009. It has been often discussed that the fall in this rate is too slow historically. Figure 1 shows the evolution of u since 1980. There were two major peaks in 1982 (10.8%) and 1992 (7.8%). (All rates are seasonally adjusted.) When the troughs preceding the peaks are synchronized all three descending curves look very similar. This observation says that the current fall in u is not different from the previous. It also tells us a fairy story about the near future. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;This rate will fall into the second half of the 2010s. Meanwhile, it may fall to 6.0% in 2013 or in the first half of 2014. &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;It is worth noting that the&amp;nbsp;start troughs before two major peaks in Figure 1 were higher than the end troughs.&amp;nbsp; If this trend is retained the next trough should be ~4%. &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-jYjG3Bl3A-w/UYVlg1-781I/AAAAAAAAE2g/ZvnRriwuBKw/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;img border="0" height="192" src="http://4.bp.blogspot.com/-jYjG3Bl3A-w/UYVlg1-781I/AAAAAAAAE2g/ZvnRriwuBKw/s320/image001.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;Figure 1. The rate of unemployment in the US&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-46cPyde8iPI/UYVloOTKfKI/AAAAAAAAE2o/eApQXdK7Tq4/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&lt;img border="0" height="192" src="http://3.bp.blogspot.com/-46cPyde8iPI/UYVloOTKfKI/AAAAAAAAE2o/eApQXdK7Tq4/s320/image002.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif; font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: left;"&gt;&lt;span style="font-family: Times, &amp;quot;Times New Roman&amp;quot;, serif;"&gt;&lt;span style="font-size: large;"&gt;Figure 2.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;Two previous major peaks synchronized with the most recent. The length of fall is approximately 7 years. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/7800536282793374608/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/a-fairy-tale-about-future-rate-of.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/7800536282793374608" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/7800536282793374608" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/a-fairy-tale-about-future-rate-of.html" title="A fairy tale about the future rate of unemployment in the US" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-jYjG3Bl3A-w/UYVlg1-781I/AAAAAAAAE2g/ZvnRriwuBKw/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-5471789562178680380</id><published>2013-05-04T16:36:00.003+02:00</published><updated>2013-05-17T08:01:06.256+02:00</updated><title type="text">The beauty of science II. Predicting the rate of unemployment in Australia</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;A few hours ago, I &lt;/span&gt;&lt;a href="http://mechonomic.blogspot.co.at/2013/05/the-beauty-of-science-unemployment-in.html"&gt;&lt;span style="color: blue; font-size: large;"&gt;reported&lt;/span&gt;&lt;/a&gt;&lt;span style="font-size: large;"&gt;that Canada gives the best example of accurate quantitative prediction of unemployment in developed countries and therefore extreme satisfaction for a researcher. I changed my mind when revisited the case of Australia with new data - &lt;/span&gt;&lt;/span&gt;&lt;span style="font-size: large;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;real GDP (GK per capita) data from the &lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;a href="http://www.conference-board.org/data/economydatabase/"&gt;&lt;span style="mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="color: blue;"&gt;Total Economic Database&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt; and the rate of unemployment from &lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;a href="http://stats.oecd.org/Index.aspx?DatasetCode=STLABOUR"&gt;&lt;span style="mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="color: blue;"&gt;the OECD&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;. Two years ago, I &lt;a href="file:///I:/Economics/SeekingAlpha/u%20and%20e/u/We%20have%20retrieved%20real%20GDP%20(GK%20per%20capita)%20data%20from%20the%20Total%20Economic%20Database%20and%20the%20rate%20of%20unemployment%20from%20the%20OECD.%20In%202012,%20we%20published%20a%20paper%20in%20the%20Journal%20of%20Theoretical%20and%20Practical%20Research%20in%20Economic%20Fields,%20where%20presented%20the%20first%20version%20of%20the%20modified%20Okun’s%20law%20for%20developed%20countries%20including%20Canada.%20The%20model%20was%20estimated%20till%202010%20and%20used%20the%20data%20available%20in%202011.%20The%20original%20model%20for%20Canada%20was%20also%20presented%20in%20this%20blog%20in%202011.%20It’s%20time%20to%20revisit%20the%20model%20and%20its%20predictions"&gt;&lt;span style="color: blue;"&gt;presented a model&lt;/span&gt;&lt;/a&gt; based on data from the same sources and found relatively big discrepancy after 2000. In the new revision of the same data, this discrepancy have evaporated. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Historically, we published &lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;a href="http://ideas.repec.org/a/srs/tpref1/3v3y2012i1p26-41.html"&gt;&lt;span style="mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="color: blue;"&gt;a paper&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt; in the &lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;a href="http://www.asers.eu/journals/tpref.html"&gt;&lt;span style="mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="color: blue;"&gt;Journal of Theoretical and Practical Research in Economic Fields&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span class="MsoHyperlink"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;u&gt;&lt;span style="color: blue;"&gt; in 2012.&lt;/span&gt;&lt;/u&gt;&lt;/span&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt; We presented the first version of the modified Okun’s law for developed countries including Australia. The model was estimated till 2010 and used the data available in 2011. Briefly, the model is estimated by the LSQ technique applied to the integral version of Okun’s law: &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;u(t) = u(t&lt;sub&gt;0&lt;/sub&gt;) + bln&lt;/span&gt;&lt;/i&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;[&lt;i style="mso-bidi-font-style: normal;"&gt;G/G&lt;sub&gt;0&lt;/sub&gt;&lt;/i&gt;] &lt;i style="mso-bidi-font-style: normal;"&gt;+ a&lt;/i&gt;(&lt;i style="mso-bidi-font-style: normal;"&gt;t-t&lt;sub&gt;0&lt;/sub&gt;&lt;/i&gt;) &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;(1) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="font-size: large;"&gt;where &lt;i style="mso-bidi-font-style: normal;"&gt;u(t)&lt;/i&gt; is the predicted rate of unemployment at time &lt;i style="mso-bidi-font-style: normal;"&gt;t&lt;/i&gt;, &lt;i style="mso-bidi-font-style: normal;"&gt;G&lt;/i&gt; is the level of real GDP per capita, &lt;i style="mso-bidi-font-style: normal;"&gt;a&lt;/i&gt; and &lt;i style="mso-bidi-font-style: normal;"&gt;b&lt;/i&gt; are empirical coefficients. For Australia, we estimated the model with a structural break allowed by data somewhere between 1980 and 2000. The best-fit (dynamic) model minimizing the RMS error of the cumulative model (1) with the new data revision is as follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;du&lt;/span&gt;&lt;/i&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt; = -0.69dln&lt;i style="mso-bidi-font-style: normal;"&gt;G&lt;/i&gt; + 1.50, &lt;i style="mso-bidi-font-style: normal;"&gt;t before &lt;/i&gt;1992 &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;du&lt;/span&gt;&lt;/i&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt; = -0.45dln&lt;i style="mso-bidi-font-style: normal;"&gt;G&lt;/i&gt; + 0.75, &lt;i style="mso-bidi-font-style: normal;"&gt;t after &lt;/i&gt;1991 (2) &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Originally, the model included the structural break neat 1995. With the new data the overall fit is better and the year of break moved to 1991, which is related to major revision of unemployment definition. The new model suggests a drop in slope and a big change in the intercept around 1991. Figure 1 depicts the observed and predicted curves of the unemployment rate. The agreement is very good. Figure 2 shows that when the observed time series is regressed against the predicted one, R&lt;sup&gt;2&lt;/sup&gt;=0.86 (0.84 in 2011). &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;The integral form of the dynamic Okun’s law (1) is characterized by a standard error of 0.72% for the period between 1971 and 2012. The average rate of unemployment for the same period is 6.9% with a standard deviation of the annual increment of 1.9%. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;This is an extremely accurate prediction considering the accuracy of GDP (~1% per year) and unemployment (0.3% to 0.4%) estimates. The whole discrepancy is related to the measurement errors and thus the residual error shown in Figure 3 is an I(0) random process. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="font-size: large;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;The rate of unemployment depends on the cumulative change in real GDP per capita, as relationship (1) implies. To reduce the rate of unemployment in Australia, the rate of GDP (real per capita) growth must be above 1.7% per year.&amp;nbsp;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-ZBh2MxeWORk/UYUchjZUWYI/AAAAAAAAE2A/sBVtVZz88Uw/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="222" src="http://3.bp.blogspot.com/-ZBh2MxeWORk/UYUchjZUWYI/AAAAAAAAE2A/sBVtVZz88Uw/s320/image002.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;span style="font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: large;"&gt;Figure 1. The observed and predicted rate of unemployment in Australia between 1971 and 2012.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-1Zr9rte_Fvw/UYUcnN4LM4I/AAAAAAAAE2I/9KGGNo_AmRU/s1600/image004.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="290" src="http://4.bp.blogspot.com/-1Zr9rte_Fvw/UYUcnN4LM4I/AAAAAAAAE2I/9KGGNo_AmRU/s320/image004.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;/span&gt;&lt;span style="font-size: large;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: large;"&gt;Figure 2. The measured time series is regressed against the predicted one. R&lt;sup&gt;2&lt;/sup&gt;=0.86 with both time series likely to be stationary.&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-mYbisX1sh5U/UYUctiR94UI/AAAAAAAAE2Q/3lWC7wDlebg/s1600/image006.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="228" src="http://3.bp.blogspot.com/-mYbisX1sh5U/UYUctiR94UI/AAAAAAAAE2Q/3lWC7wDlebg/s320/image006.png" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;;"&gt;&lt;span style="font-size: large;"&gt;Figure 3. The residual error of the unemployment model. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style="font-size: large;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="font-size: large;"&gt;So, I have to repeat. The beauty of science is the accuracy of prediction. It is difficult to express the feelings of a researcher than new observations fit his predictions based on a simple concept. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;It is especially sweet when this concept is different from the mainstream one. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/5471789562178680380/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-beauty-of-science-ii-predicting.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/5471789562178680380" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/5471789562178680380" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-beauty-of-science-ii-predicting.html" title="The beauty of science II. Predicting the rate of unemployment in Australia" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://3.bp.blogspot.com/-ZBh2MxeWORk/UYUchjZUWYI/AAAAAAAAE2A/sBVtVZz88Uw/s72-c/image002.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-2154702627381151726</id><published>2013-05-04T10:49:00.001+02:00</published><updated>2013-05-04T10:49:43.133+02:00</updated><title type="text">The beauty of science. Unemployment in Canada</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;div style="text-align: justify;"&gt; &lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;The beauty of science is the accuracy of prediction. It is difficult to express the feelings of a researcher than new observations fit his predictions based on a simple concept. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;It is especially sweet when this concept is different from the mainstream one. I am sure that economists never feel like that with all models flawed. Here, I present one of many cases of accurate predictions based on the link between GDP and unemployment, which is a modified Okun’s law in an integral form. &lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Canada provides an excellent set of macroeconomic data which can be described by a few deterministic links with a high level of reliability and confidence. We have retrieved real GDP (GK per capita) data from the &lt;a href="http://www.conference-board.org/data/economydatabase/"&gt;&lt;span style="color: blue;"&gt;Total Economic Database&lt;/span&gt;&lt;/a&gt; and the rate of unemployment from &lt;a href="http://stats.oecd.org/Index.aspx?DatasetCode=STLABOUR"&gt;&lt;span style="color: blue;"&gt;the OECD&lt;/span&gt;&lt;/a&gt;. In 2012, we published &lt;a href="http://ideas.repec.org/a/srs/tpref1/3v3y2012i1p26-41.html"&gt;&lt;span style="color: blue;"&gt;a paper&lt;/span&gt;&lt;/a&gt; in the &lt;a href="http://www.asers.eu/journals/tpref.html"&gt;&lt;span style="color: blue;"&gt;Journal of Theoretical and Practical Research in Economic Fields&lt;/span&gt;&lt;/a&gt;, where presented the first version of the modified Okun’s law for developed countries including Canada. The model was estimated till 2010 and used the data available in 2011. The original model for Canada was also presented in this blog in &lt;a href="http://mechonomic.blogspot.co.at/2011/07/on-absence-of-structural-unemployment.html"&gt;&lt;span style="color: blue;"&gt;2011&lt;/span&gt;&lt;/a&gt;. It’s time to revisit the model and its predictions. &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Overall, the model is estimated using the LSQ technique to the integral version of Okun’s law:  &lt;br /&gt;&lt;br /&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;u(t) = u(t&lt;sub&gt;0&lt;/sub&gt;) + bln&lt;/i&gt;[&lt;i style="mso-bidi-font-style: normal;"&gt;G/G&lt;sub&gt;0&lt;/sub&gt;&lt;/i&gt;] &lt;i style="mso-bidi-font-style: normal;"&gt;+ a&lt;/i&gt;(&lt;i style="mso-bidi-font-style: normal;"&gt;t-t&lt;sub&gt;0&lt;/sub&gt;&lt;/i&gt;) (1) &lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;br /&gt;&lt;br /&gt;where &lt;i style="mso-bidi-font-style: normal;"&gt;u(t)&lt;/i&gt; is the predicted rate of unemployment at time &lt;i style="mso-bidi-font-style: normal;"&gt;t&lt;/i&gt;, &lt;i style="mso-bidi-font-style: normal;"&gt;G&lt;/i&gt; is the level of real GDP per capita, &lt;i style="mso-bidi-font-style: normal;"&gt;a&lt;/i&gt; and &lt;i style="mso-bidi-font-style: normal;"&gt;b&lt;/i&gt; are empirical coefficients. For Canada, we estimated the model with a structural break allowed by data somewhere between 1980 and 1990. The best-fit (dynamic) model minimizing the RMS error of the cumulative model (1) is as follows:&lt;/span&gt;&lt;/div&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt;"&gt;&lt;br /&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;du = &lt;/i&gt;-0.28&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG + &lt;/i&gt;1.16&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;lt;&lt;/i&gt;1983 &lt;i style="mso-bidi-font-style: normal;"&gt;&lt;br /&gt;du = &lt;/i&gt;-0.28&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG + &lt;/i&gt;0.30&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;gt;&lt;/i&gt;1982 (2)&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt;"&gt;&amp;nbsp;&lt;/div&gt;&lt;/span&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;This model suggests no shift in the slope and a bigger change in the intercept around 1983. Figure 1 depicts the observed and predicted curves of the unemployment rate. Considering the accuracy of measurements for both involved variable the fit is excellent. The integral form of the dynamic Okun’s law (1) is characterized by a standard error of 0.67% for the period between 1971 and 2012. The average rate of unemployment for the same period is 8.12% with a standard deviation of the annual increment of 0.92%. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Figure 2 shows that when the observed time series is regressed against the predicted one, R&lt;sup&gt;2&lt;/sup&gt;=0.87. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Here we do not test both time series for stationarity but presume that the rate of unemployment has to be a stationary time series in the long run. &lt;br /&gt;One can suggest that the rate of unemployment has been driven by real economic growth and there is no much room for other macroeconomic variable to intervene. Personally, I admire the performance of this simple model and will keep reporting on it for Canada, but also for &lt;a href="http://mechonomic.blogspot.co.at/2013/04/spain-33-unemployed-in-2013-revisited.html"&gt;&lt;span style="color: blue;"&gt;Spain&lt;/span&gt;&lt;/a&gt;, &lt;a href="http://mechonomic.blogspot.co.at/2011/07/okuns-law-integrated-france.html"&gt;&lt;span style="color: blue;"&gt;France&lt;/span&gt;&lt;/a&gt;, etc. &lt;/span&gt;&lt;/div&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-k-VQRYZTAqY/UYTLboSQDcI/AAAAAAAAE1o/HjOVOTGLk4Y/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="226" src="http://4.bp.blogspot.com/-k-VQRYZTAqY/UYTLboSQDcI/AAAAAAAAE1o/HjOVOTGLk4Y/s320/image002.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;br /&gt;Figure 1. The observed and predicted rate of unemployment in the Canada between 1970 and 2010.&amp;nbsp;&lt;/div&gt;&lt;/span&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-Svjgd1CZa-c/UYTLhGB9a3I/AAAAAAAAE1w/BeNFFavz7xM/s1600/image004.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="225" src="http://2.bp.blogspot.com/-Svjgd1CZa-c/UYTLhGB9a3I/AAAAAAAAE1w/BeNFFavz7xM/s320/image004.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Figure 2. The measured time series is regressed against the predicted one. R&lt;sup&gt;2&lt;/sup&gt;=0.87 with both time series likely to be stationary.&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/2154702627381151726/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-beauty-of-science-unemployment-in.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/2154702627381151726" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/2154702627381151726" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-beauty-of-science-unemployment-in.html" title="The beauty of science. Unemployment in Canada" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-k-VQRYZTAqY/UYTLboSQDcI/AAAAAAAAE1o/HjOVOTGLk4Y/s72-c/image002.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-8123782527828134154</id><published>2013-05-04T09:45:00.003+02:00</published><updated>2013-05-04T09:45:47.106+02:00</updated><title type="text">CPI inflation in the UK will not fall  below 2.5% to 3% per year till 2020</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;div style="text-align: justify;"&gt; &lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;&lt;a href="http://mechonomic.blogspot.co.at/2011/05/inflation-in-uk-no-sign-of-deflation.html"&gt;&lt;span style="color: blue;"&gt;Two years ago we presented a model&lt;/span&gt;&lt;/a&gt; for the rate of inflation in the UK and a prediction for 2010-2020. Actual rate in 2011 and 2012 was very close to the predicted one as Figure 1 demonstrates. There is no change to the model and we foresee another ten years of a reactively large (CPI) inflation rate in the UK – nearly 3% per year. In 2013, the predicted rate is 2.9%.&amp;nbsp;&lt;/span&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;According to our &lt;a href="http://www.eabcn.org/sites/all/files/papers/European_unemployment.pdf"&gt;&lt;span style="color: blue;"&gt;concept&lt;/span&gt;&lt;/a&gt;, the original paper was published by &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;the &lt;a href="http://www.eabcn.org/"&gt;&lt;span style="color: blue;"&gt;Euro Area Business Cycle Network&lt;/span&gt;&lt;/a&gt;, there exists a long-term equilibrium link between price inflation, &lt;i style="mso-bidi-font-style: normal;"&gt;CPI&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt;, unemployment, &lt;i style="mso-bidi-font-style: normal;"&gt;u&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt;, and the rate of change of labour force, &lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;=dLF/LFdt&lt;/i&gt;. We follow up our predictions for many counties in this blog. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;The UK is one of the world biggest economies with a relatively good statistics started chiefly from 1973.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;It is a major challenge to model inflation in the UK using our approach. &lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;There is a structural break in the link between three defining variables in 1985, which is purely artificial and induced by the change in measurement units and definitions. Accordingly, we have to distinguish two periods to fit observations: before and after 1985:&lt;/span&gt;&lt;span style="font-size: 14pt; line-height: 150%;"&gt;&amp;nbsp;&lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ansi-language: EN-GB;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoPlainText" style="margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ansi-language: EN-GB;"&gt;CPI&lt;sub&gt;t&lt;/sub&gt; = &lt;/span&gt;&lt;/i&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ansi-language: EN-GB;"&gt;1.0&lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;+ u&lt;sub&gt;t&lt;/sub&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;- &lt;/i&gt;0.046&lt;i style="mso-bidi-font-style: normal;"&gt;; t&amp;gt;&lt;/i&gt;1985 &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="font-size: 14pt; line-height: 150%;"&gt;CPI&lt;sub&gt;t&lt;/sub&gt; = &lt;/span&gt;&lt;/i&gt;&lt;span style="font-size: 14pt; line-height: 150%;"&gt;-1.0&lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt; -&lt;/i&gt;1.7&lt;i style="mso-bidi-font-style: normal;"&gt; u&lt;sub&gt;t&lt;/sub&gt; + .025; t&amp;lt;&lt;/i&gt;1985&lt;span style="mso-tab-count: 2;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;(1)&lt;/span&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;For both periods, inflation does not lag behind unemployment and &lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt;. Figure 1 presents the observed and predicted CPI curves, all variables were obtained from the OECD database in 2013. All in all, the predictive power of the model is good and timely fits major peaks and troughs. The change from negative to positive linear coefficient in 1985 needs a special explanation. But such effects were observed in other developed countries as well.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;The NSO's&amp;nbsp;labour force projection helps to predict the future inflation. Since the inflow of new employees is still positive,&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="font-size: 14pt; line-height: 150%;"&gt;l&lt;sub&gt;t&lt;/sub&gt;&lt;/span&gt;&lt;/i&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt; &amp;gt;0, and the rate of unemployment does not foresees any dramatic decline in the long run one can be sure that inflation will be positive in the near future, as Figure 2 predicts.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/--ASwRxk8mjQ/UYS8dwft0ZI/AAAAAAAAE1Q/xs3zSoQok_I/s1600/image005.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="191" src="http://2.bp.blogspot.com/--ASwRxk8mjQ/UYS8dwft0ZI/AAAAAAAAE1Q/xs3zSoQok_I/s320/image005.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"&gt;&lt;span style="font-size: 14pt;"&gt;Figure 1. The predicted and measured rate of consumer price inflation (CPI) in the UK.&lt;/span&gt;&lt;/div&gt;&lt;div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"&gt;&lt;span style="font-size: 14pt;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-OjcWwHTy5bk/UYS8jjmixJI/AAAAAAAAE1Y/QvITTJgDhFE/s1600/image006.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://3.bp.blogspot.com/-OjcWwHTy5bk/UYS8jjmixJI/AAAAAAAAE1Y/QvITTJgDhFE/s320/image006.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"&gt;&lt;span style="font-size: 14pt;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: black; font-size: 14pt;"&gt;Figure 2. The predicted rate of CPI inflation in the UK between 2008 and 2020 estimated from the labour force projection by the NSO.&lt;/span&gt;&lt;span style="font-size: 14pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/8123782527828134154/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/cpi-inflation-in-uk-will-not-fall-below.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8123782527828134154" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8123782527828134154" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/cpi-inflation-in-uk-will-not-fall-below.html" title="CPI inflation in the UK will not fall  below 2.5% to 3% per year till 2020" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://2.bp.blogspot.com/--ASwRxk8mjQ/UYS8dwft0ZI/AAAAAAAAE1Q/xs3zSoQok_I/s72-c/image005.gif" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-1023346571497543337</id><published>2013-05-01T14:31:00.003+02:00</published><updated>2013-05-01T16:59:41.564+02:00</updated><title type="text">The rate of participation in labor force in the U.S. will regain 0.7% in 2013-2014 </title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;div style="text-align: justify;"&gt;Five years ago we published &lt;a href="http://ideas.repec.org/a/ush/jaessh/v3y2008i3(5)_fall2008p203-222.html"&gt;&lt;span style="color: blue;"&gt;a paper&lt;/span&gt;&lt;/a&gt; with a model describing the evolution of labor force participation rate, LFP, in developed countries. Among other countries, we presented a prediction for the U.S. We used the change in a younger population cohort and foresaw the fall by 1.5% in 2010. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Figure 1 reproduces Figure 8 from the paper. This dramatic fall happened on time. It was a success of the model. &lt;/div&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-VBdETKi-JCQ/UYEKBKv0ccI/AAAAAAAAE04/pwT9iCP86bw/s1600/image002.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="193" src="http://2.bp.blogspot.com/-VBdETKi-JCQ/UYEKBKv0ccI/AAAAAAAAE04/pwT9iCP86bw/s320/image002.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;Figure 1. Prediction of the LFP evolution in the USA between 2000 and 2014 from the number of 3-year-olds. Flat segment between 2004 and 2009 will end up in a rapid drop by 1.3% after 2010. This is the effect of an elevated (above potential) real economic growth. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;The predicted curve in Figure 2 was obtained from real GDP per capita as a proxy to the population change (see the article for details). Both curves in Figure 2&amp;nbsp;almost coincide between 1960 and 2012. The largest deviations are observed in the years of biggest revisions to the LFP after decennial censuses and changes to GDP definitions. Therefore, they can be neglected as having artificial character.&amp;nbsp;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 12pt; text-align: justify;"&gt;&lt;span style="mso-spacerun: yes;"&gt;The model predicts the secular change in the LFP!&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;In 2011 and 2012, the rate of participation is expected to hover near 64.5%, but actually fell to 63.7%. As an option explaining the observed deviation, the rate of GDP growth in 2011 and 2012 could be overestimated. As an alternative, the rate of participation in labor force may rise by 0.7%. This is in line with &lt;a href="http://mechonomic.blogspot.co.at/2013/04/the-rate-of-unemployment-on-its-way-to.html"&gt;&lt;span style="color: blue;"&gt;the predicted fall in the rate of unemployment to 6%&lt;/span&gt;&lt;/a&gt; by the end of 2013. &lt;/div&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-PtfrrtbRaD8/UYEKJQF5-lI/AAAAAAAAE1A/F_GpjN0_wFM/s1600/image004.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="199" src="http://1.bp.blogspot.com/-PtfrrtbRaD8/UYEKJQF5-lI/AAAAAAAAE1A/F_GpjN0_wFM/s320/image004.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 12pt; text-align: justify;"&gt;Figure 2. Observed and predicted LFP in the U.S. &lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/1023346571497543337/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-rate-of-participation-in-labor.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/1023346571497543337" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/1023346571497543337" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/05/the-rate-of-participation-in-labor.html" title="The rate of participation in labor force in the U.S. will regain 0.7% in 2013-2014 " /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://2.bp.blogspot.com/-VBdETKi-JCQ/UYEKBKv0ccI/AAAAAAAAE04/pwT9iCP86bw/s72-c/image002.gif" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-4319307569610876760</id><published>2013-04-30T20:36:00.000+02:00</published><updated>2013-04-30T20:36:17.382+02:00</updated><title type="text">We accurately predicted the current rate of unemployment in Italy in 2008 !</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt; A year ago, &lt;a href="http://mechonomic.blogspot.co.at/2012/02/rate-of-unemployment-in-italy-well.html"&gt;we revisited our prediction&lt;/a&gt; of the rate of unemployment in Italy made in &lt;a href="http://ideas.repec.org/p/arx/papers/0903.5064.html"&gt;&lt;span style="color: blue;"&gt;2008&lt;/span&gt;&lt;/a&gt;and found that it was excellent. The model worked well. As it has an 11-year horizon, we can check our old prediction for 2012 and 2013 (preliminary). A new estimate of unemployment rate in 2012 is 10.6%. For 2013, the rate is 11.5 &lt;a href="http://www.tradingeconomics.com/italy/unemployment-rate"&gt;&lt;span style="color: blue;"&gt;in March&lt;/span&gt;&lt;/a&gt;. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;There is no doubt, these values fully validate our model of unemployment as a function of the change in labour force.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;  &lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;We introduced the model of unemployment in Italy in 2008 with data available only for 2006. The rate of unemployment was near its bottom at the level of 6%. The model predicted a long-term growth in the rate unemployment to the level of 11% in 2013-2014.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;The agreement between the measured and predicted unemployment estimates in Italy validates our concept which states that there exists a long-term equilibrium link between unemployment, &lt;i style="mso-bidi-font-style: normal;"&gt;u&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt;, and the rate of change of labour force, &lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;=dLF/LFdt&lt;/i&gt;. Italy is a unique economy to validate this link because the time lag of unemployment behind &lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;is eleven (!) years.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="-ms-layout-grid-mode: line; color: black; font-size: 14pt; line-height: 150%; mso-fareast-language: EN-US;"&gt;T&lt;/span&gt;&lt;span style="font-size: 14pt; line-height: 150%;"&gt;he estimation method is standard – we seek for the best overall fit between observed and predicted curves by the LSQR method. All in all, the best-fit equation is as follows:&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoPlainText" style="margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ansi-language: EN-GB;"&gt;u&lt;sub&gt;t&lt;/sub&gt; = &lt;/span&gt;&lt;/i&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ansi-language: EN-GB;"&gt;5.0&lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t-11&lt;/sub&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;+ &lt;/i&gt;0.07&lt;/span&gt;&lt;span lang="EN-US" style="font-size: 14pt;"&gt;&lt;span style="font-family: Courier New;"&gt;&lt;span style="mso-tab-count: 2;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;(1)&lt;/span&gt;&lt;/span&gt;&lt;span lang="EN-US" style="color: black; font-size: 14pt;"&gt;&lt;o:p&gt;&lt;span style="font-family: Courier New;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;As mentioned above, the lead of &lt;i style="mso-bidi-font-style: normal;"&gt;l&lt;sub&gt;t&lt;/sub&gt;&lt;/i&gt; is eleven years. This defines the rate of unemployment many years ahead of the current change in labour force.&amp;nbsp;&lt;/span&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;Figure 1 presents the observed unemployment curve and that predicted using the rate of labour force change 11 years ago and equation (1). Since the estimates of labour force in Italy are very noisy we have smoothed the annual predicted curve with MA(5). All in all, the predictive power of the model is excellent and timely fits major peaks and troughs after 1988. The period between 2006 and 2013 was predicted almost exactly. (If anybody knows a better prediction in 2008 of 2013 unemployment rate please give us the link.) &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;This is the best validation of the model – it has successfully described a major turn in the evolution of unemployment near its bottom. No other macroeconomic model is capable to describe such dramatic turns many years ahead. Four years ago, we expected the peak in the rate of unemployment in 2013-2014 at the level of 11% (+5% from the level in 2008) and it has come!&lt;/span&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span style="color: black; font-size: 14pt; line-height: 150%;"&gt;The evolution of the rate of unemployment in Italy is completely defined ten year ahead. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Since the linear coefficient in (1) is positive one needs to reduce the growth in labour force (see Figure 3) in order to reduce unemployment in the 2020s. For the 2010s everything is predefined already and the rate of unemployment will be high, i.e. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;above 9%. &lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-0CFZa-NwaKA/UYAOzi7BEzI/AAAAAAAAE0g/HXQiW1q9_f4/s1600/image002.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="191" src="http://4.bp.blogspot.com/-0CFZa-NwaKA/UYAOzi7BEzI/AAAAAAAAE0g/HXQiW1q9_f4/s320/image002.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 0pt;"&gt;&lt;span style="font-size: 14pt;"&gt;Figure 1. Observed and predicted rate of unemployment in Italy. &lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-JNtWEZ5nSyk/UYAO9dX12dI/AAAAAAAAE0o/Rp0r497RD-k/s1600/image004.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="202" src="http://4.bp.blogspot.com/-JNtWEZ5nSyk/UYAO9dX12dI/AAAAAAAAE0o/Rp0r497RD-k/s320/image004.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 0pt;"&gt;&lt;span style="font-size: 14pt;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 0pt;"&gt;&lt;span style="font-size: 14pt;"&gt;Figure 2. The rate of growth in labour force. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/4319307569610876760/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/we-accurately-predicted-current-rate-of.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/4319307569610876760" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/4319307569610876760" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/we-accurately-predicted-current-rate-of.html" title="We accurately predicted the current rate of unemployment in Italy in 2008 !" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-0CFZa-NwaKA/UYAOzi7BEzI/AAAAAAAAE0g/HXQiW1q9_f4/s72-c/image002.gif" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-598651573985878876</id><published>2013-04-27T17:04:00.001+02:00</published><updated>2013-04-27T17:04:25.442+02:00</updated><title type="text">Waveform cross correlation at the International Data Centre: comparison with Reviewed Event Bulletin and regional catalogues</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;Another &lt;a href="http://presentations.copernicus.org/EGU2013-3913_presentation.pdf"&gt;poster &lt;/a&gt;at the EGU 2013. &lt;br /&gt;&lt;br /&gt;Abstract&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;Waveform cross correlation substantially&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;improves detection, phase association, and event building procedures at the International Data Centre (IDC) of the Comprehensive Nuclear-Test-Ban Treaty Organization. There were 50% to 100% events extra to the official Reviewed Event Bulletin&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;(REB) were found in the aftershock sequences of small, middle size, and very big earthquakes. Several per cent of the events reported in the REB were not found with cross correlation even when all aftershocks were used as master events. These REB events are scrutinized in interactive analysis in order to reveal the reason of the cross correlation failure. As a corroborative method, we use detailed regional catalogues, which often include aftershocks with magnitudes between 2.0 and 3.0. Since the resolution of regional networks is by at least one unit of magnitude higher, the REB events missed from the relevant regional catalogues are considered as bogus. We compare events by origin time and location because the regional networks and the International Monitoring System are based on different sets of seismic stations and phase comparison is not possible.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Three intracontinental sequences have been studied: after the March 20, 2008 earthquake in China (m&lt;sub&gt;b&lt;/sub&gt;(IDC)=5.4), the May 20, 2012 event in Italy (m&lt;sub&gt;b&lt;/sub&gt;(IDC)=5.3), and one earthquake (m&lt;sub&gt;b&lt;/sub&gt;(IDC)=5.6) in Virginia, USA (August 23, 2011).&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;Overall, most of the events not found by cross correlation are missing from the relevant regional catalogues. At the same time, these catalogues confirm most of additional REB events found only by cross correlation. This observation supports all previous findings of the improved quality of events built by cross correlation.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/598651573985878876/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/waveform-cross-correlation-at.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/598651573985878876" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/598651573985878876" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/waveform-cross-correlation-at.html" title="Waveform cross correlation at the International Data Centre: comparison with Reviewed Event Bulletin and regional catalogues" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-4993385011413664001</id><published>2013-04-27T12:01:00.003+02:00</published><updated>2013-04-27T12:11:55.526+02:00</updated><title type="text">Seismicity of the North Atlantic as measured by the International Data</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 12pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;I have uploaded &lt;a href="http://presentations.copernicus.org/EGU2013-3920_presentation.pdf"&gt;&lt;span style="color: #bb2188; text-decoration: none; text-underline: none;"&gt;a poster&lt;/span&gt;&lt;/a&gt;presented at the EGU 2013. &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Abstract&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;The Technical Secretariat (TS) of the Comprehensive Nuclear Test-Ban Treaty Organization (CTBTO) will carry out the verification of the CTBT which obligates each State Party not to carry out nuclear explosions. The International Data Centre (IDC) receives, collects, processes, analyses, reports on and archives data from the International Monitoring System. The IDC is responsible for automatic and interactive processing of the International Monitoring&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;System (IMS) data and for standard IDC products. The IDC is also required by the Treaty to progressively enhance its technical capabilities. In this study, we use waveform cross correlation as a technique to improve the detection capability and reliability of the seismic part of the IMS. In order to quantitatively estimate the gain obtained&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;by cross correlation on the current sensitivity of automatic and interactive processing we compared seismic bulletins built for the North Atlantic (NA), which is a seismically isolated region with earthquakes concentrating around the Mid-Atlantic Ridge. This allows avoiding the spill-over of mislocated events between adjacent seismic regions and biases in the final bulletins: the Reviewed Event Bulletin (REB) issued by the IDC and the cross correlation Standard Event List (XSEL). To begin with, we cross correlated waveforms recorded at 18 IMS array stations from 1500 events reported in the REB between 2009 and 2011. The resulting cross correlation matrix revealed the best candidates for master events. We have selected 60 master events evenly distributed over the seismically &lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;active zone in the NA. High-quality signals (SNR&amp;gt;5.0) recorded by 10 most sensitive array stations were&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;used as waveform templates. These templates are used for a continuous calculation of cross correlation coefficients&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;in the first half of 2012. All detections obtained by cross-correlation are then used to build events according to the current IDC definition: at least three primary stations with accurate arrival times, azimuth and slowness estimates. The qualified event hypotheses populated the XSEL. In order to confirm the XSEL events not found in the REB, a portion of the newly built events was reviewed interactively by experienced analysts. The influence of all defining parameters (cross correlation coefficient threshold and SNR, fk-analysis, azimuth and slowness estimates, relative magnitude, etc.) on the final XSEL has been studied using the relevant frequency distributions for all detections vs. only for those which were associated with the XSEL events. These distributions are also station and master dependent. This allows estimating the thresholds for all defining parameters, which may be adjusted to balance the rate of missed events and false alarms.&amp;nbsp;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/4993385011413664001/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/seismicity-of-north-atlantic-as.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/4993385011413664001" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/4993385011413664001" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/seismicity-of-north-atlantic-as.html" title="Seismicity of the North Atlantic as measured by the International Data" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-2487264249604480605</id><published>2013-04-25T18:18:00.002+02:00</published><updated>2013-04-25T18:18:32.972+02:00</updated><title type="text">Spain: 33% unemployed in 2013? Revisited </title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;span lang="EN-US" style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Today, Bloomberg &lt;a href="http://www.bloomberg.com/news/2013-04-25/spain-unemployment-breaches-27-percent-on-recession.html"&gt;&lt;span style="color: #bb2188;"&gt;discusses&lt;/span&gt;&lt;/a&gt;the rate of unemployment in Spain, which rose to 27.2%. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;This level is interpreted as an unexpectedly high. In October 2012, &lt;a href="http://mechonomic.blogspot.co.at/2012/10/spain-33-unemployed-in-2013.html"&gt;&lt;span style="color: blue;"&gt;we described the evolution of unemployment in Spain&lt;/span&gt;&lt;/a&gt;(it was 25% on the date of posting)&amp;nbsp;and predicted the rate of unemployment at 33% if real GDP falls by 10% in 2013. We are using the LSQ technique applied to the &lt;a href="http://ideas.repec.org/p/arx/papers/1109.4399.html"&gt;&lt;span style="color: #bb2188;"&gt;integral version of Okun’s law&lt;/span&gt;&lt;/a&gt;:&amp;nbsp;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&amp;nbsp;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;  &lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;u(t) = u(t&lt;sub&gt;0&lt;/sub&gt;) + bln[G/G&lt;sub&gt;0&lt;/sub&gt;] + a(t-t&lt;sub&gt;0&lt;/sub&gt;)&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;(1)&lt;i style="mso-bidi-font-style: normal;"&gt;&amp;nbsp;&lt;/i&gt;&lt;/span&gt;&lt;span lang="EN-US" style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;where &lt;/span&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;u(t)&lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt; is the rate of unemployment at time &lt;i style="mso-bidi-font-style: normal;"&gt;t&lt;/i&gt;, &lt;i style="mso-bidi-font-style: normal;"&gt;G &lt;/i&gt;is the&lt;i style="mso-bidi-font-style: normal;"&gt; &lt;/i&gt;level of real GDP per capita (we used &lt;a href="http://www.conference-board.org/data/economydatabase/"&gt;&lt;span style="color: #bb2188;"&gt;TED&lt;/span&gt;&lt;/a&gt;, The Conference Board, EKS PPP&amp;nbsp;), &lt;i style="mso-bidi-font-style: normal;"&gt;a&lt;/i&gt;and &lt;i style="mso-bidi-font-style: normal;"&gt;b&lt;/i&gt; are empirical coefficients.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;The best-fit (dynamic) model for Spain minimizing the RMS error of the cumulative model (1) is as follows:&amp;nbsp;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;du = -&lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;0.406&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG + &lt;/i&gt;2.00&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;lt;&lt;/i&gt;1995&amp;nbsp; &lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify; text-indent: 36pt;"&gt;&lt;i style="mso-bidi-font-style: normal;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;du = -&lt;/span&gt;&lt;/i&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;1.11&lt;i style="mso-bidi-font-style: normal;"&gt;dlnG + &lt;/i&gt;1.54&lt;i style="mso-bidi-font-style: normal;"&gt;, t&amp;gt;&lt;/i&gt;1994&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;(2)&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;This model suggests a big shift in the slope and a smaller change in the intercept around 1995. Having a new unemployment estimate for 2012, we have updated the prediction of (2) in Figure 1. The 2012 real GDP reading fully confirms the excellent predictive power of the model. The predicted value is 25.5% and the reported rate of unemployment in the fourth quarter of 2013 is 26%.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Figure 1 also repeats our prediction (red circle) of the unemployment rate in Spain in 2013 for a 10% real GDP drop. The Bank of Spain report a 2% fall in Q1, which is much smaller than 10%. In any case the current economic performance in Spain is poor. From (2) it follows that even a zero GDP growth rate results in a 1.5% increase in unemployment.&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-GOj7AQJs-lE/UXlXPUWtXvI/AAAAAAAAE0Q/t2vTeDGt0fI/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="226" src="http://4.bp.blogspot.com/-GOj7AQJs-lE/UXlXPUWtXvI/AAAAAAAAE0Q/t2vTeDGt0fI/s320/image002.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Figure 1.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;The observed and predicted rate of unemployment in the Spain between 1971 and 2012.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;In 2013, the rate may reach 33% in case of 10% fall in real GDP.&amp;nbsp;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="background: white; line-height: normal; margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="color: #222222; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; mso-ansi-language: EN-US; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;The cumulative form of the dynamic Okun’s law is characterized by standard error of 1.68% for the period between 1971 and 2011 (0.92% after 1995). The average rate of unemployment for the same period is 13.6% (14.6% after 1995) with a standard deviation of the annual increment of 2.12%. &lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/2487264249604480605/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/spain-33-unemployed-in-2013-revisited.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/2487264249604480605" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/2487264249604480605" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/spain-33-unemployed-in-2013-revisited.html" title="Spain: 33% unemployed in 2013? Revisited " /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-GOj7AQJs-lE/UXlXPUWtXvI/AAAAAAAAE0Q/t2vTeDGt0fI/s72-c/image002.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-1799040165554925125</id><published>2013-04-18T14:16:00.003+02:00</published><updated>2013-04-18T14:16:40.496+02:00</updated><title type="text">CPI deflation in Japan will strengthen </title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;I've borrowed this table from&amp;nbsp;&lt;a href="http://www.stat.go.jp/english/data/cpi/1581.htm"&gt;Japan Statistics&lt;/a&gt;. Considering the fact that only the price&amp;nbsp;of&amp;nbsp;fuel and transportation has been rising, one can&amp;nbsp;interpret the current fall in oil price as a cause of the overall price drop in the months to come. Price deflation&amp;nbsp; is strengthening. &lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;strong&gt;Table 1     Japan, February 2013&lt;/strong&gt;&lt;br /&gt;&lt;table border="1" class="datatable" style="width: 600px;"&gt;&lt;tbody&gt;&lt;tr&gt;&lt;th width="40%"&gt;&lt;br /&gt;&lt;/th&gt;&lt;th width="20%"&gt;Index&lt;/th&gt;&lt;th width="20%"&gt;Monthly Change(%)&lt;/th&gt;&lt;th width="20%"&gt;Annual Change(%)&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left" colspan="4"&gt;(10 Major Group Index)&lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;All items&lt;/td&gt;&lt;td&gt;99.2 &lt;/td&gt; &lt;td&gt;-0.2 &lt;/td&gt; &lt;td&gt;-0.7 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;(All items, less imputed rent)&lt;/td&gt;&lt;td&gt;99.2 &lt;/td&gt; &lt;td&gt;-0.2 &lt;/td&gt; &lt;td&gt;-0.7 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Food&lt;/td&gt;&lt;td&gt;99.3 &lt;/td&gt; &lt;td&gt;-1.0 &lt;/td&gt; &lt;td&gt;-1.8 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Housing&lt;/td&gt;&lt;td&gt;99.2 &lt;/td&gt; &lt;td&gt;0.0 &lt;/td&gt; &lt;td&gt;-0.4 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Fuel, light and water charges&lt;/td&gt;&lt;td&gt;108.7 &lt;/td&gt; &lt;td&gt;0.1 &lt;/td&gt; &lt;td&gt;3.0 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Furniture and household utensils&lt;/td&gt;&lt;td&gt;89.9 &lt;/td&gt; &lt;td&gt;0.7 &lt;/td&gt; &lt;td&gt;-3.8 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Clothes and footwear&lt;/td&gt;&lt;td&gt;95.5 &lt;/td&gt; &lt;td&gt;-0.9 &lt;/td&gt; &lt;td&gt;-0.5 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Medical care&lt;/td&gt;&lt;td&gt;98.0 &lt;/td&gt; &lt;td&gt;0.0 &lt;/td&gt; &lt;td&gt;-0.5 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Transportation and communication&lt;/td&gt;&lt;td&gt;101.9 &lt;/td&gt; &lt;td&gt;0.6 &lt;/td&gt; &lt;td&gt;0.9 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Education&lt;/td&gt;&lt;td&gt;98.5 &lt;/td&gt; &lt;td&gt;0.1 &lt;/td&gt; &lt;td&gt;0.4 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Culture and recreation&lt;/td&gt;&lt;td&gt;92.1 &lt;/td&gt; &lt;td&gt;0.0 &lt;/td&gt; &lt;td&gt;-2.8 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Miscellaneous&lt;/td&gt;&lt;td&gt;103.4 &lt;/td&gt; &lt;td&gt;0.2 &lt;/td&gt; &lt;td&gt;-0.1 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;All items, less fresh food&lt;/td&gt;&lt;td&gt;99.2 &lt;/td&gt; &lt;td&gt;0.1 &lt;/td&gt; &lt;td&gt;-0.3 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;All items, less food (less alcoholic beverages) and energy&lt;/td&gt;&lt;td&gt;97.6 &lt;/td&gt; &lt;td&gt;0.0 &lt;/td&gt; &lt;td&gt;-0.9 &lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left" colspan="4"&gt;(Goods and Service Group Index)&lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Goods&lt;/td&gt;&lt;td&gt;98.7 &lt;/td&gt; &lt;td&gt;-0.3 &lt;/td&gt; &lt;td&gt;-1.3 &lt;/td&gt;&lt;/tr&gt;&lt;tr align="center"&gt;&lt;td align="left"&gt;Services&lt;/td&gt;&lt;td&gt;99.6 &lt;/td&gt; &lt;td&gt;0.0 &lt;/td&gt; &lt;td&gt;-0.1 &lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/1799040165554925125/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/cpi-deflation-in-japan-will-strengthen.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/1799040165554925125" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/1799040165554925125" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/cpi-deflation-in-japan-will-strengthen.html" title="CPI deflation in Japan will strengthen " /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-669267878000127248</id><published>2013-04-16T11:28:00.003+02:00</published><updated>2013-04-16T11:28:29.991+02:00</updated><title type="text">The rate of unemployment on its way to 6% in December 2013</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div style="text-align: justify;"&gt;Four months ago, we discussed the rate of unemployment in the US and published our forecast for 2013. We predicted an extended unemployment fall period down to the level of 6.2% in the third quarter of 2013. This prediction was made after we accurately forecasted (on March 1, 2012) the rate of unemployment in the US to fall down to 7.8% by the end of 2012. Here we update our model and present the evolution of the unemployment rate in the first quarter of 2013. The measured rate has been following our prediction up. We foresee the rate to fall down to 6% in the fourth quarter of 2013. &lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;In &lt;a href="http://ideas.repec.org/p/pra/mprapa/2735.html"&gt;&lt;span style="color: blue;"&gt;2006&lt;/span&gt;&lt;/a&gt;, we developed three individual empirical relationships between the rate of unemployment, &lt;i style="mso-bidi-font-style: normal;"&gt;u(t)&lt;/i&gt;, price inflation, &lt;i style="mso-bidi-font-style: normal;"&gt;p(t)&lt;/i&gt;, and the change rate of labour force, &lt;i style="mso-bidi-font-style: normal;"&gt;LF(t)&lt;/i&gt;, in the United States. We also revealed a general relationship balancing all three variables. Since measurement (including definition) errors in all three variables are independent it may so happen that they cancel each other (destructive interference) and the general relationship might have better statistical properties than the individual ones. For the USA, the best fit model for annual estimates was a follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify; text-indent: 36pt;"&gt;&lt;i&gt;u(t) = p(t-2.5) + 2.5dLF(t-5)/dtLF(t-5) + 0.0585 (1)&lt;/i&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;where inflation (&lt;a href="http://seekingalpha.com/symbol/cpi"&gt;&lt;span style="color: blue;"&gt;CPI&lt;/span&gt;&lt;/a&gt;) leads unemployment by 2.5 years (30 months) and the change in labor force leads by 5 years (60 months). We have already &lt;a href="http://mechonomic.blogspot.com/2009/06/inflation-unemployment-labor-force.html"&gt;&lt;span style="color: blue;"&gt;posted&lt;/span&gt;&lt;/a&gt;on the performance of this model several times.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;For the model in this post, we use monthly estimates of the headline CPI, u, and labor force, all reported by the US Bureau of Labor Statistics. The time lags are the same as in (1) but coefficients are different since we use month to month-a-year-ago rates of growth. We have also allowed for changing inflation coefficient. The best fit models for the period after 1978 are as follows:&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;&lt;i&gt;u(t) = 0.63p(t-2.5) + 2.0dLF(t-5)/dtLF(t-5) + 0.07; between 1978 and 2003&lt;o:p&gt;&lt;/o:p&gt;&lt;/i&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;&lt;i&gt;u(t) = 0.90p(t-2.5) + 4.0dLF(t-5)/dtLF(t-5) + 0.30; after 2003&lt;/i&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;There is a structural break in 2003 which is needed to fit the predictions and observations in Figure 1. Due to strong fluctuations in monthly estimates of labor force and CPI we smoothed the predicted curve with MA(24). &lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;The structural break in 2003 may be associated with the change of sensitivity of the rate of unemployment to the change of inflation and labor force. Alternatively, definitions of all three (or two) variables were revised around 2003, which is the year when new population controls were introduced by the BLS. The Census Bureau also reports major revisions to the Current Population Survey, where the estimates of labor force and unemployment are taken from. Therefore, the reason behind the change in coefficients night be of artificial character - the change in measuring units.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;Figure 1 depicts the prediction and the observed fall in the rate of unemployment. Figure 2 shows that the observed and predicted time series are well correlated (R&lt;sup&gt;2&lt;/sup&gt;=0.82). This is a good statistical support to the model. &lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="text-align: justify;"&gt;Figure 3 depicts the predicted rate of unemployment for the next 12 months. The model shows that the rate will fall to 6.0 % by December 2013. For 110 observations since 2003, the modelling error is 0.4% with the precision of unemployment rate measurement of 0.2% (Census Bureau estimates in &lt;a href="http://www.census.gov/prod/2006pubs/tp-66.pdf"&gt;&lt;span style="color: blue;"&gt;Technical Paper 66&lt;/span&gt;&lt;/a&gt;). Hence, one may expect 6.0% [±0.4%]. Meanwhile, we expect a dramatic drop in the rate of unemployment in April/June 2013. It should come as “unexpected” by the mainstream economic forecasters.&lt;span style="mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;v:formulas&gt;&amp;nbsp;&lt;/v:formulas&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;span style="mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;v:formulas&gt;&lt;/v:formulas&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-z5lmtUz5LXg/UW0ZYNmJGfI/AAAAAAAAEzo/LpKAXJzYALc/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="193" src="http://3.bp.blogspot.com/-z5lmtUz5LXg/UW0ZYNmJGfI/AAAAAAAAEzo/LpKAXJzYALc/s320/image001.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;span style="mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;v:formulas&gt;&lt;/v:formulas&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;span style="mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;v:stroke joinstyle="miter"&gt;&lt;v:formulas&gt;&lt;/v:formulas&gt;&lt;/v:stroke&gt;&lt;/v:shapetype&gt;&lt;/span&gt;Figure 1. Observed and predicted rate of unemployment in the USA as obtained in April 2013.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-2EViaRWBkWw/UW0ZeEGsokI/AAAAAAAAEz4/bvmPpLYzkJ4/s1600/image003.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="224" src="http://4.bp.blogspot.com/-2EViaRWBkWw/UW0ZeEGsokI/AAAAAAAAEz4/bvmPpLYzkJ4/s320/image003.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;Figure 2.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;Observed &lt;i style="mso-bidi-font-style: normal;"&gt;vs&lt;/i&gt;. predicted rate of unemployment between 1967 and March 2013. The coefficient of determination&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&amp;nbsp; &lt;/span&gt;Rsq=0.82. &lt;br /&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://2.bp.blogspot.com/-bbML1fzVZLE/UW0ZjoWKdFI/AAAAAAAAE0A/cbgf_PTGMIE/s1600/image005.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://2.bp.blogspot.com/-bbML1fzVZLE/UW0ZjoWKdFI/AAAAAAAAE0A/cbgf_PTGMIE/s320/image005.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;Figures 3. The predicted rate of unemployment. We expect the rate to fall down to 6.0% in December 2013. &lt;o:p&gt;&lt;/o:p&gt;&lt;br /&gt;  &lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/669267878000127248/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/the-rate-of-unemployment-on-its-way-to.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/669267878000127248" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/669267878000127248" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/the-rate-of-unemployment-on-its-way-to.html" title="The rate of unemployment on its way to 6% in December 2013" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://3.bp.blogspot.com/-z5lmtUz5LXg/UW0ZYNmJGfI/AAAAAAAAEzo/LpKAXJzYALc/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-635414595341356278</id><published>2013-04-15T13:33:00.004+02:00</published><updated>2013-04-15T13:33:49.475+02:00</updated><title type="text">An unusual feature of income distribution  in the USA - a Pareto law at very low incomes </title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;There is an invaluable source of quantitative information on personal income distribution (PID) in the USA which is hidden in a set of clumsy photocopies one can find searching the most remote parts of the Census Bureau web site. Today, we are discussing the distribution of personal money incomes in the age group 14 to 15 years. This is an extremely narrow group with data available only between 1967 and 1974. The essence of this short time series consists in the power (Pareto) law distribution of personal incomes starting from zero level. It is a well-known fact that the highest incomes are controlled by the Pareto law as well as many distributions in physics associated with self-organized criticality. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Therefore, we consider the 14 and 15 years PID as an extremely important quantitative feature likely related to the frozen structure of income distribution not to the long-term process. These people just entered the economy and were distributed over the pre-existing structure straight away. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;Some words about the data. I am a long-term user of the CB data but it took me couple minutes to get through a broken link to the directory &lt;a href="http://www.census.gov/prod/www/population.html"&gt;&lt;span style="color: windowtext;"&gt;http://www.census.gov/prod/www/population.html&lt;/span&gt;&lt;/a&gt;, where the original copies sit. They are not digitized. Fortunately, I did my homework in 2003 and spent a month to convert them into a digital format. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;These data allowed developing a mechanical model for the evolution of personal incomes since 1947, which is presented in my book “&lt;/span&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-bidi-font-weight: bold; mso-font-kerning: 18.0pt;"&gt;&lt;a href="http://www.ecineq.org/milano/WP/ECINEQ2009-110.pdf"&gt;&lt;span style="color: windowtext;"&gt;Mechanical model of personal income distribution”&lt;/span&gt;&lt;/a&gt;. There is much more left in the dataset, however. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-bidi-font-weight: bold; mso-font-kerning: 18.0pt;"&gt;Figure 1 below displays four personal income distributions for 1968. We present three age groups: 14 to 15, 16 to 19, and 20 to 24 years as well as the whole population distribution marked “all”.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;In the group 14 to 15 years, there exists a power law distribution with an exponent of -2.01 for the whole income range. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;In the group between 20 and 24 and in “all” only higher incomes (&amp;gt;$5000) are distributed according to the Pareto law. The PID for the group 16 to 19 is rather exponential. Hence, the PID evolves over time. It starts from a power law for very young people and then transforms into an exponential distribution for work experience of a few years. After five to seven years of work, two branches are observed: a quasi-exponential PID at lower incomes and a power-law one for higher incomes. It is important to stress that the PID for the Pareto law for higher incomes is characterized by a different exponent of -3.2 (see Figure 2). This is a quite different distribution. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;By all means, the PID evolution expresses both the underlying structure of income distribution and the long-term process. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;It is highly unfortunate that the Census Bureau reported so short time series for younger people and did not provide reliable estimates of the Pareto distribution for higher incomes – only three to four estimates covering the range of high incomes.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-CsXxOJK4kv0/UWvkIN20CGI/AAAAAAAAEzU/BDp22xg_Pso/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://4.bp.blogspot.com/-CsXxOJK4kv0/UWvkIN20CGI/AAAAAAAAEzU/BDp22xg_Pso/s320/image001.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;&lt;/span&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 1. Four PIDs in 1968. Notice the power law distributions for the whole income range in the group 14 to 15 as well as for higher incomes (&amp;gt;$5000) in the group between 20 and 24 and in “all”. The PID for the group 16 to 19 israther exponential. &lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/-wuj8ank_B6o/UWvkLZT1qII/AAAAAAAAEzc/P6ng4i_ox-o/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://4.bp.blogspot.com/-wuj8ank_B6o/UWvkLZT1qII/AAAAAAAAEzc/P6ng4i_ox-o/s320/image002.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;&lt;/span&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;/span&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 2. The estimation of two exponents for power law PIDs.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/635414595341356278/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/an-unusual-feature-of-income.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/635414595341356278" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/635414595341356278" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/an-unusual-feature-of-income.html" title="An unusual feature of income distribution  in the USA - a Pareto law at very low incomes " /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-CsXxOJK4kv0/UWvkIN20CGI/AAAAAAAAEzU/BDp22xg_Pso/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-6754780156171639772</id><published>2013-04-07T11:17:00.001+02:00</published><updated>2013-04-07T11:17:14.895+02:00</updated><title type="text">Money income inequality in the USA has not been changing since 1947 in all age groups</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;The Census Bureau reports money income distribution measured in the annual Current Population Surveys. Figure 1 shows the portion of population with income in various age groups. From 1947 to 1977, the portion with income grows linearly. In 1947, only 64.4% of the working age population in the USA had incomes according to the CB definition. In 1990, the portion peaked at 93.3%. The group between 15 and 24 years of age has a limited time span and demonstrates a dramatic fall since 1994.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;In other age groups, the portion also falls since 1994, but at a slower rate. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;In 1994, a new income definition and measuring procedure was introduced. The CB reports on the CPS results only from 1994. Before, only scanned copies of paper reports were available. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;The estimates of money income inequality depend on income definition and thus on the portion of population with income.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;Figure 2 depicts the evolution of Gini ratio in the same age groups, which reveals a similar growth between 1947 and 1977. When the change in the portion of population with income is compensated in the past, the Gini ratios in Figure 2 are likely to be constant since 1947. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div align="center" class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: center;"&gt;&lt;b style="mso-bidi-font-weight: normal;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;The level of (money) income inequality in various age groups is practically constant over time.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;It is worth noting that the jump in the portions of population with income between 1977 and 1979 did affect the Gini estimates and a step of 0.02 is observed in all groups above 25 years of age. The youngest group and the overall estimate did not show any change. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shapetype  id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"  path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"&gt; &lt;v:stroke joinstyle="miter"/&gt; &lt;v:formulas&gt;  &lt;v:f eqn="if lineDrawn pixelLineWidth 0"/&gt;  &lt;v:f eqn="sum @0 1 0"/&gt;  &lt;v:f eqn="sum 0 0 @1"/&gt;  &lt;v:f eqn="prod @2 1 2"/&gt;  &lt;v:f eqn="prod @3 21600 pixelWidth"/&gt;  &lt;v:f eqn="prod @3 21600 pixelHeight"/&gt;  &lt;v:f eqn="sum @0 0 1"/&gt;  &lt;v:f eqn="prod @6 1 2"/&gt;  &lt;v:f eqn="prod @7 21600 pixelWidth"/&gt;  &lt;v:f eqn="sum @8 21600 0"/&gt;  &lt;v:f eqn="prod @7 21600 pixelHeight"/&gt;  &lt;v:f eqn="sum @10 21600 0"/&gt; &lt;/v:formulas&gt; &lt;v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/&gt; &lt;o:lock v:ext="edit" aspectratio="t"/&gt;&lt;/v:shapetype&gt;&lt;v:shape id="Chart_x0020_1" o:spid="_x0000_i1026" type="#_x0000_t75"  style='width:361pt;height:217pt;visibility:visible' o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQCcTl4h4gYAADocAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWU9vG0UUvyPx HUZ7b+P/jaM6VezYDbRpo9gt6nG8Hu9OM7uzmhkn9Q21RyQkREEcqMSNAwIqtRKX8mkCRVCkfgXe zOyud+I1SdsIKmgO8e7b37z/782b3ctX7kUMHRIhKY87XvVixUMk9vmExkHHuzUaXFj3kFQ4nmDG Y9Lx5kR6Vzbff+8y3vAZTcYci8koJBFBwCiWG7jjhUolG2tr0gcylhd5QmJ4NuUiwgpuRbA2EfgI BERsrVaptNYiTGNvEzgqzajP4F+spCb4TAw1G4JiHIH0m9Mp9YnBTg6qGiHnsscEOsSs4wHPCT8a kXvKQwxLBQ86XsX8eWubl9fwRrqIqRVrC+sG5i9dly6YHNSMTBGMc6HVQaN9aTvnbwBMLeP6/X6v X835GQD2fbDU6lLk2RisV7sZzwLIXi7z7lWalYaLL/CvL+nc7na7zXaqi2VqQPaysYRfr7QaWzUH b0AW31zCN7pbvV7LwRuQxbeW8INL7VbDxRtQyGh8sITWAR0MUu45ZMrZTil8HeDrlRS+QEE25Nml RUx5rFblWoTvcjEAgAYyrGiM1DwhU+xDTvZwNBYUawF4g+DCE0vy5RJJy0LSFzRRHe/DBMdeAfLy 2fcvnz1Bx/efHt//6fjBg+P7P1pGzqodHAfFVS++/ezPRx+jP5588+LhF+V4WcT/+sMnv/z8eTkQ ymdh3vMvH//29PHzrz79/buHJfAtgcdF+IhGRKIb5Ajt8wgMM15xNSdj8WorRiGmxRVbcSBxjLWU Ev59FTroG3PM0ug4enSJ68HbAtpHGfDq7K6j8DAUM0VLJF8LIwe4yznrclHqhWtaVsHNo1kclAsX syJuH+PDMtk9HDvx7c8S6JtZWjqG90LiqLnHcKxwQGKikH7GDwgpse4OpY5fd6kvuORThe5Q1MW0 1CUjOnayabFoh0YQl3mZzRBvxze7t1GXszKrt8mhi4SqwKxE+RFhjhuv4pnCURnLEY5Y0eHXsQrL lBzOhV/E9aWCSAeEcdSfECnL1twUYG8h6NcwdKzSsO+yeeQihaIHZTyvY86LyG1+0AtxlJRhhzQO i9gP5AGkKEZ7XJXBd7lbIfoe4oDjleG+TYkT7tO7wS0aOCotEkQ/mYmSWF4l3Mnf4ZxNMTGtBpq6 06sjGv9d42YUOreVcH6NG1rl868flej9trbsLdi9ympm50SjXoU72Z57XEzo29+dt/Es3iNQEMtb 1Lvm/K45e//55ryqns+/JS+6MDRoPYvYQduM3dHKqXtKGRuqOSPXpRm8Jew9kwEQ9TpzuiT5KSwJ 4VJXMghwcIHAZg0SXH1EVTgMcQJDe9XTTAKZsg4kSriEw6Ihl/LWeBj8lT1qNvUhxHYOidUun1hy XZOzs0bOxmgVmANtJqiuGZxVWP1SyhRsex1hVa3UmaVVjWqmKTrScpO1i82hHFyemwbE3Jsw1CAY hcDLLTjfa9Fw2MGMTLTfbYyysJgonGeIZIgnJI2Rtns5RlUTpCxXlgzRdthk0AfHU7xWkNbWbN9A 2lmCVBTXWCEui96bRCnL4EWUgNvJcmRxsThZjI46XrtZa3rIx0nHm8I5GS6jBKIu9RyJWQBvmHwl bNqfWsymyhfRbGeGuUVQhVcf1u9LBjt9IBFSbWMZ2tQwj9IUYLGWZPWvNcGt52VASTc6mxb1dUiG f00L8KMbWjKdEl8Vg12gaN/Z27SV8pkiYhhOjtCYzcQ+hvDrVAV7JlTC6w7TEfQNvJvT3jaP3Oac Fl3xjZjBWTpmSYjTdqtLNKtkCzcNKdfB3BXUA9tKdTfGvboppuTPyZRiGv/PTNH7Cbx9qE90BHx4 0Ssw0pXS8bhQIYculITUHwgYHEzvgGyB97vwGJIK3kqbX0EO9a+tOcvDlDUcItU+DZCgsB+pUBCy B23JZN8pzKrp3mVZspSRyaiCujKxao/JIWEj3QNbem/3UAipbrpJ2gYM7mT+ufdpBY0DPeQU683p ZPnea2vgn558bDGDUW4fNgNN5v9cxXw8WOyqdr1Znu29RUP0g8WY1ciqAoQVtoJ2WvavqcIrbrW2 Yy1ZXGtmykEUly0GYj4QJfAOCel/sP9R4TP7BUNvqCO+D70VwccLzQzSBrL6gh08kG6QljiGwckS bTJpVta16eikvZZt1uc86eZyTzhba3aWeL+is/PhzBXn1OJ5Ojv1sONrS1vpaojsyRIF0jQ7yJjA lH3J2sUJGgfVjgdfkyDQ9+AKvkd5QKtpWk3T4Ao+MsGwZL8Mdbz0IqPAc0vJMfWMUs8wjYzSyCjN jALDWfoNJqO0oFPpzybw2U7/eCj7QgITXPpFJWuqzue+zb8AAAD//wMAUEsDBBQABgAIAAAAIQCc HIzadQEAABkEAAAfAAAAY2xpcGJvYXJkL2RyYXdpbmdzL2RyYXdpbmcxLnhtbKRTTU8CMRC9m/gf mt5lAVHMhoUDiPGiJOoPmHS7H3HbbtqyLv/eaamhookGLk077byZ9950tuhFQzquTa1kRkeDISVc MpXXsszo2+v66o4SY0Hm0CjJM7rjhi7mlxczSEsNbVUzggjSpJDRyto2TRLDKi7ADFTLJd4VSguw eNRlkmv4QGTRJOPh8DYRUEs6P0CtwALZ6voEqEaxd54vQXZgELJhaRwJPTbsfGRIZfeg25d2o13n 7KnbaFLnGUXlJAiUiCbhIjzDY3KUVR4A+kIL914VBek9ys6tHoP3ljAMTm6mqBcWYHg3nk6u8RSq VM+/5LHq/o9MbGhfGDdRM8HStUYirilH1ZvsI8eMR1+MlxVoS0YR8TjpwD+OOvhQLtqeMQHMNYHW s9TvguWnOL5HCgD6PyOD5tWMrxTbCi7tfrg1b8DirzJV3RpKdOqGRD/mXiYvu5fDMfYDEolxzkx8 d/agONY4+hRx1R9dfAIAAP//AwBQSwMEFAAGAAgAAAAhAGcD7obOAAAArAEAACoAAABjbGlwYm9h cmQvZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHOskM1qwzAMgO+DvYPRfVbSwxijTi+l 0OvoHkA4yg9NbGOpZX37mRbGAoVeepGQhD59aL35mSdz5ixjDA5qW4Hh4GM7ht7B92H39gFGlEJL Uwzs4MICm+b1Zf3FE2lZkmFMYgoliINBNX0iih94JrExcSiTLuaZtJS5x0T+SD3jqqreMf9nQLNg mn3rIO/bFZjDJZXLj9mx60bP2+hPMwe9cwK1eHEBUu5ZHVh769xibYsr4H2N+pkafqCsC41rR/Ca /jxw8ePmFwAA//8DAFBLAwQUAAYACAAAACEAFjARCBkBAACqAQAAJgAAAGNsaXBib2FyZC9jaGFy dHMvX3JlbHMvY2hhcnQxLnhtbC5yZWxzhJBRS8MwFIXfBf9DCfho01UQGWuH4CZ9EIfOt75c09s2 miYl9252/967h4GDgS8JJyf57slZLKfBJXuMZIMv1CzNVILehMb6rlAf2/Xtg0qIwTfggsdCHZDU sry+WryhA5ZH1NuREqF4KlTPPM61JtPjAJSGEb04bYgDsMjY6RHMN3So8yy71/EvQ5VnzKRqChWr ZqaS7WGUyf+zQ9tag0/B7Ab0fGGEDg5fP7/QsEAhdsiFaq1Diayreb0ywYfBGqofI1vjkDYwSjV1 E6Flqp+ttzd5JvFlzbPZXb0RN3hwoitpbTgaawTeRaT6vYd4PPix3MtmTxf2JEog6eRoOgV5CY38 cTUxRuEpXS70WcPlLwAAAP//AwBQSwMEFAAGAAgAAAAhALqp6gCSIAAAnrMAABsAAABjbGlwYm9h cmQvY2hhcnRzL2NoYXJ0MS54bWzsnd1zG0d2xd9Tlf+Bof0YUfP9wbK0JVGWa2vtrMqy9yFvI2Ak IQYBBhhKpP/6/O58dQPSGXBt2ZVUJt5IIjiNnrl9+3b3Offc+eYvd9frsw/1br/abp6chxfB+Vm9 WWyXq827J+c///TyUXF+tm+qzbJabzf1k/P7en/+l6f/+i/fLC4X76td8/qmWtRnfMlmf7l4cv6+ aW4uHz/eL97X19X+YntTb/jd2+3uumr4cffu8XJXfeTLr9ePoyDIHrdfct5/QfUbvuC6Wm2G9ruH tN++fbta1C+2i9vretN0d7Gr11WDBfbvVzf786c83LJq6rAMkrMP1frJeXD+2D5cV5t33Qf15tF3 z7sPd9vbzbJeXm13G8zoXX+9uHy2burdhq+62m4aeuuf8/pBlrqudr/c3jxabK9vuLk3q/WquW9v lxvku6/eb3mOsx/r/75d7er9k/NFmAyG4J+fmOJ6tdht99u3zQXf+LizwjAa9rX54+Jx1I8HDxsm l/vmfl13DxQGkT3t47Hf9hZeVuv1m2rxi9nGu3i81P3eGh4bw1q1w2//qG6b7U+rZl2/qNd1Uy89 Oy4ub9bb5tmuruzCdXW/vW3sX9fV5rZafz/+3P3mp2r3rm665qsNQ9KN0t0P22X/LPXyXd19eP+5 D+/6ri/COEmDKAnSMimjNIvjvlH3+/QiTIIgTZOgzJMgSYri20ftgy8uPw7fUIRpkMZhUmZBFpVl lHff8H78fRxlYZlmRVzkUZGU9uvHxw/GB+6Z94uqwaWubOqZDfqfX7uR2l9vt837H/Cd4dE/VLv7 q+16e+CcNK139g2r5fDA3c1td8t6199g90lz1/bU7H6s39q/3j7d0329/7evn38d2v22n+6b3VXF tLcrbporJkU/CGH3LTfNGV3ZVLIrPjz9adtUa2v9oX3mGx6HH9y3dD+0XfLP/h5uXnHP1eV6c/aR YBXlgX1bdbnfrlfLl6v1uv3BYk99te4forlrb+DxwVX8tN50HbZfaTY3g7UPen/9ZktMtHm/IeaN gzJccPePio4Wl5vb608s8uzr6PLrZ19n2WgXrhrt0sXBKzzxadBe0MbF9udjq2Xp580Wlkl+aDUz d2fasDct1xTqmshdU6pr4vGatL1NN0Kur8Rd0/rA565J3TWR6itz18Tqmtxdk6hrCndNqq4p3TXt +HzunsPBP5mX2tDO0qm0dOhMnUpTh87WmbQ1cb2bM2GZSWOHztqZtHbozJ1Jc4fO3pm0d+gMnkmD h87i3Yz4nMUjthxuYjw5/64maFdr98hyGKLwREs5NlF0oqUcsCiebpnLUYxYnaeeM5dDG6UnWsrx jrITLaUTsFZN3630jIgd4+RzSneJyhMt5ayNT/hQLn0oPuFDufSh+IQP5dKH2ElMWqiQPhSf8KFC +lB8wocK6UPxCR8qpA/FJ3yokD4Un/ChQvpQfMKHCulDyQkfKqQPJSd8qJA+lJzwoUL6UHLCh0rp Q8kJHyqlDyUnfKiUPpSc8KFS+lBywodK6UPJCR8qpQ+xEZ+cn6X0ofSED5XSh9ITPlRKH0pP+FAp fSid9CGOhNKH0kkfoqX0oXTSh2gpfSid9CFaSh9KJ32IltKH0kkfoqX0oXTSh2gpfSib9CFaSh/K Jn2IltKHskkfoqX0oeyED4XSh7ITPhQe+RCnQHeW6n4YTofDiex+4mT23E5mzx9wMuv3n3aIcNsY 238fnGrV+Sy4yJI4C7M8zsMgDdMiOnoMd4QaDhHWJM/isIzjhGaB3nQPJwpapEkcJWmeRGkeB7k+ FgznC2tSpFERBVmRJHEehXJIh9NG16SIojII8zDPkkj6z3D2oElegodEcRonQZ4X+saGk0jbxL49 C+jJ+pIRYDiXWBPwljSOwyzOojzRoXw4pdCkzABacpCcOGSA5MQdjizBRR6GYRZGRZCnhgLpM/V4 ZrQ2WKko8iQv4yLk+dVZNHSjn/MUSRlnZZGEUZjHMo6NJ0rrp2DYE1ClPMuzNJQjMx4wacPFUZQV Bc+fxGmk7815QB6nODGDmZrl+Fs+j3OB3Py/SPD/IkqjUO9Jx9Mo95bEZZBHMS3KMAUMk/04J8AH shJgMoyypIhTvVMfz6rWD96CN8chNiuSVNvA8wPuhxlTRCXXR5Huh5Nsd06nH8YG2JDZzHgywDJm c4Z1bUqGJYizANwxwyGUDTi9jm2KuIzTMIzxgyQDRpRtXCDIizwowS2jpCCK5LmcCpxYvX7itMTc YRHxbNp3OKu6NmUag20mOTEhyvUOhlPq0KYImArMUDwoDooykrGA8+nYJsSrY0aVUFgGYK7SBi4a FGEUE0IKZisYbRLLIM2ZdOwnSqIkLIs4DqKcSSEDKKfRf76N8wO8OknKPChw64SVQdqAE+jQTxnh N2GeBywjAMmRjCGcPcc2ZmXA7SQvkizBfMpunDpdG76d4cF6uHeq9yKcN12bAI9j/IM4IGQfr+tu QeSk6drErCRhaGZgJuj9JGfMsQ37FCY3UyEvbSrI+cPp0mvDrYHOpwEtAx3jOVe6NhGeGRMI2CHb 4qDsxonStSmIVASQgDgCbC3nKWfJsU0csUqzx2Q73c4I2Y/nBzEhN00IBUzwvNRjyvnR64dlizHN U+YPdyn78fyAeVNGiU2f9i/dxvMD1p60DLKM58LgoRwfTovjvT24jecH4N+EUZyO3U7Mjko+j+cH IStJAVkTxBHhQJ9COBuO98Yqx3YqTzPjiQo95zgVujbGGGVsRlhZWe+k3TgPujZJwaikIXMhtyCs noeToGuDfWGlCKVsDnUI4QjomoRFYBOHUc3YkUq35vA3tmHmRBiuYGeRMSv0rTk3KAgEAXsrTJex DumtCwe+oZ+iTAJWupIND/uJONb35tygKPEBOCJCDnsKdpfSbM4NWBHYWjIHCG9lzD5ZtnFuULAg pEnKX+wSmQ0yjHKwG5+nYPfB6BNwbFutl3qOdK4NlraQHXJKCInY6t44zI1tcLEkLlJmBHvZTC/b HOPGNuyT2VFiccY0j/VWjAOca8PAQE4QRVkji+OpPXF0G45sHW3ZsW4dYTcylMdEZU8oekRl/4km Kq9+B1EZpmfN9iw6MjeP9CW4yt27NyNTGQTPifUt3TiTlS1XPDgyzigjy+C48HUSahgclWvkRm8I UFwjI8UQkLhGRoYhAHHNkcu4jc4QcLhGRoshwHCNXCjHgycXyVVuPGlykT5WOVPrfe14lmSqS1vP ZKWf0uDGfCYrzS5s6OXsmsnK3kJyKs9kZWehmaycycrOE2ayciYrzROAfuSOZCYrewvJveZMVnYW +l9DVl4ZWXn1h5GVPukA5wKaAGhYAqFD8yhUwScdUpgqEPQE5AcqSafxkCw3IAR5yz4ZQAtWBgIk fdEnHaA2OY2BhSegbLk+vfikQ5qARAA2k7AdQj/Ic6NHOkCgRXCjaQjDBe4jj20e55AD36RgN8Ad wMY6l5JkuNEC4JHwrgBZEdxgrFN7PMoBsg5AjtsDlTPsT57fPMoBPLsAYgRmA4+Dh5X7bXaT4709 uM1wToTigjcBZ4Y3KPPYUB/lOR7lUEDUhEWeg0mmnGs19udRDoCSQKwRCB5gI3/K07BHOcDZFrBo cFxm6FBDwB7lAFmbA54nBv8VHMx1P8MRHxvAnMSMER4AWqYRYI9xgBiGbkrAPuFr8FAJJHiMg5HJ pkPgDnmwOJam9hgH2BM4QWYD7GOUgLyr4fEYB2DmKMRq3F0C4KwhRvLWBteB1wAtDJg+5DoAnet+ XDCACYJwYh6UJTDwFEI/IDeYGsyB3HfcBg4SfkzOUrLUhnvD0SyhwKgXgg6klbTBgOwEF9jAuDBI mhxiOcu0rZ0bPLyNFw5s8sQ8TUf2yjsbcCCbcFCpEMMkikCpgm2rNh7fwCQltQT0FziX7AINbXl8 A/Qu/gJ5AhFJ5k+i+3FeYOkuBClYa/Kw6FOGXY9wIE+AnsjHYD5Ap+kg6hEOIN/8x9y2CUrElt5G ntnoBSFBNLUwDTCdM7jSbs4LsHJCE/6EEqCltoHzAqhu/CU0p7aEHg22k1U23BvJG3Dj0BRYnCCq gxtbtLFNRsBlDWVGIBuCqVDP4xEOYPowleQKsIrgeDofwSMcbNmB1sjhDwqLDLIb5wYwYaxWBBuy ZRJsJyepxzcQBhnNiCDS/qe7cbGAvQohwHYesHXMoSMv+LJ0Qy/q8uiG/hNNN7z4HXRD1NINx4k2 fxDd8HKmG9rEvk4/NfjxTDfYccimu6nyHIQ90w3nszZqIv9g1kbZvGHbLZe9WRvVW0juWWZtVGch vXWatVG9haQPzdqozkITZ+RJXQtHmKMdtdsDzHSD2XamG56cz9qo3hNkHPo/o416YXTDiz+MbnB5 j8AjQO0ZFABZlkCtElZx0HRGbnJgpVbAc8EZJYQ3HN5Q+gCTktWfZoCriHA0IukASdBysvqNBAHT BpyXvTgMgvsC4gBSM4wVAEd6gQOiTIIEDEV2aWY5wFoZ5uNQwMoIykgBB7oCJFMgjA9DITwyPI3O SBXVDLlDofKAJwfqjHITNgBeqV4cCIWExnQaJWh+QG6tNvJ4aATAJJ/fgF8AshA0Umcljylr1gas OIsYGyyGWkGOzIE4KoFeAMq2JGsEcnIxGxPa6If6O0jdQCTB8vl/aYIxv402QJHIBmCAMqwBuqjM NtbmsDZcHBq8iKLMygvJNs4JQODwTpLuSJ43iZjux3kBIC6UFlINHAdRxMRM89wA0B8ZXgC+ahWL NDsz1vXgeXAXdCfQc2QLh+Dy6nkOxFEpoHyKpAqRmGWCyzYuDCBaAvMEj4Y4IU99gj90gSAHUwVX RBKBKgjxmxxTn6eEbAJfB2KFQYQGkL7j85QwWkCerd6PoCBd1KMpsTD56YCXsQUDIGBpAucGkGem 06AN7gkELt3A4ymhvxIok5anJRJqjN0jKk10hPcgAzD3iSY0ZS4c8PhGuBJA0Mghv1CP4/GUD27i nIDoTCQgqmM55FG6roKvjGIsoQORcbZ4/kQbtxzA6sJrIlaBE2Tx0RmxHk2Jjgq3geGFdMaptRTC oymhZ1MmtNHPhJ4HKqMgNFE2IHezwmF4njS1CwakT8PstzwyhNjEIurxlLRANsFKQuxBnzphA+cF 8HOmqiSI0ASSU3Nnbktg0L9NBUzAvEM8rJ7H4yl5noiZA1XPgpVgOtnGBQP6KVsrMyNiRHwy8PrK KNMDMZakIECLEqtkP25fwL0hxUQLAQMEGzrxPG5jQBuCDfEQwSi+qvEjXxn14Da+Hxh9aopuNBoT hBulMwayCd6QDQhcIIODKlVnE/jCKOxLFGCG2qpFd8psHlFJPynHTnOB9g/dxgsHrIvscVCXWnU+ NM2yH88NuA7mMEttAzMlnPeISvaGyNxswUYeBX0mo5tHVJam6ilsi4tKjCii23huAFPNHozwy4Mx 8+Ra6imjWNpxs4Sbgg8zVby0gecGkLqmrkXWT86CnAgeTUnMYFdNYLcNH5kouhcvGMACW6oPhoYR npDLejQlgQ2/ZN/GPgzCXs43j6U02TjnAtzMOHHYWmUAXxZFMAjYuLBhoTfmnGzj1gTSSFgJ8Bx2 SCwKE5ItFwuoUcDayw4ER8hQhh2t2F+Wp+zLU3o8Zf+J5im//R08ZdzylMmR9/wBPCWa5uDZZ3jK 6vJmt29eVPu+nOaSf/Xiqbm2owwdg0MjBpIJs4MDc82RxzoccIhaXCND9bB15RoZmoeoxDVHruT6 GlYjrpFhdIg7XCN3A+NRlItkaBnPnlwk48J42OQiaerxdDnLpSoKwi6pHj3XdjSv9jn1ubZjx1VM VGuYrIcF2yqn8iyX6mw7y6VmuVTnCRoMnms79haSuwcOq9NVIWUcmms7mm2B7OROca7t2FtI+tBc 23GituO3xl9++2fwl8AyyIqoXxOBGkzoShxI1ZF+5JADQJOCrTENh1GR1k3ZQRLjIb4oq6O5juEw Z5xnSXUYFA6QhEBoEwjiiOwBi1M6L4LrAqahWpA87AxHPcge+C4DWVoZjgmMJG4y9kKhSVAWIBCj 8QzfVE2Gg2DXC4gzNA9Qt2YshlMhDSJKXqFJQ5RFLwDcqo/hkEgTGw8OeACBZMVDZKom45nR2gDu UyULioMqZnogxxOkNQEMp+QB2DGo5oTmazxQWhuQQ0go4Dxjr7RObDxf0gYAkGGEHAII43mklX32 MgGhNSMEkNGA/fJo7bOXVg2SRwEGhReCipRmG87+3BsYOAgYshCUKzD50mnG3FraQJBibMQEWVsQ VbfxvMBkSBAiUMwMDsaQ9+a5ASZOsUHL4AK9ywXKZy/hHuA8sTR6LGaQ6sYXWUKnUr2L2mJWHmkC VfFEloUpfVAvIWEEGNe9uBhAC1DT3Iq1mjZTMw8edUlQAqKEtiqtwCkFxuTTuChgcY+gZHLGAEGW nqGexNImGrQLKhSohwy4Vvbj4gBtmP9oT/gfYhJdsPaAu4RwMPQYiyMrOi5E5TAlT2RJeSxjKqB3 mHNIpOS9HZCXD23jVgKKpOHXJkjD1JRyk5P0gL00hpjxx0updKrjlCeyNMoGQhokHZIMplA/zwD0 BRewl0wdpo1h/NA8chfss5dIJWGtTPUERcSUUGPqiSyhBslmaZk7YiPeINs4PzC2zyZPgeEg5HXg 9dlLLjSeGNKXZWpCbuypLAmbrXYJixnZM8Eq+uwlJURTK/0GSYi0VQZRn720YGAbiJx0KAukygae ytJqqzHVCD3Ggecal/XZS6gKOBQY5py5MJGXwBsBRrqPgsdGcxjVx9Aew/tu/ngqS5ZRE0JbtUUI qIkCeD57+eA2nh+kxKeu6LV1l0gf9elLeD5yoVjpUHezmOjxcYsC8dlqSrNXMVptouaxT1/CcLEB YSfBfoeGMl57OktWXrLNyL0ic8YWOvk8fl1HSzZjDiDTRWVHQFW+49OXNmnQJJYWE9kf6n48P4C4 hMSFKrVskInUJk9nyaQh2YTNUYmloQn1vbnNgS3WJAOZYpJwRUP5PJ4f2A6UiW2GtqQTGUN8AtP2 n7Y0sMYTUXWqlqezxJMxQsQ6j/uQRyfH1Ccw0feTOxPhb2zCWfDV8/gMppGDpmguyNFABCrjgcdg QvuSn2IEKxJyNvHS1p7Qkqcw3bD5DjOJACfvzfMDnpwDBRJQ4qkR+odtviyDmXSvPPMYzP4TzWC+ /B0MZtIymMe00xdiMB/wErpjAnN/v3+xbWYKswPidCbhsOOFe5spzM/qNIc950xhosabX0/nvUxv fj3dLMHs4qsu0TFLMDsLzRLM+fV0nSdo1cn8erreQvLQMr+eziwE+Xl0dHJQyvx6ut5C0of+H7ye 7qVRmC//DArTUtmtGBaKC5MFSfRkOEQYuWhHLaAQ8BMQWA0oexSmoRm8IgdI2V7gc4gaONcfjnIw PtAd4JXGSJq2RWelO2yCCm28gweQBVgcqlBjLY66QD8FygvMVEJlgtZq2GRERMEPM0gSsrihb8ES JcrtACo4Tx4dpBINEZot/bIfj7zibRsIP+zFUvbSEo1xO5gSrBU5JdomVFr8n7aYT2GC5dmr/3jL Fm9Cm8j99zlMex0bdd0y8rDNfnKW+hwmrDW5/7wKj5Rd7CypDp/D5NZAa01qYlzhBO/puQCiWMA8 sGBIL9g43Y/nA1wHcwXMjYYMYEv5pv92OvQS9uYqODLYOA2++wwmBUKhfaEKYwrwwWPJbjwnAJ3k QWDwUDmiApLTxtdfGnUHeorOBOaX96+ofjwGs5XDwfvBCoDpMbNlGxcDqKHIdANChoiD/dPduBgA T8gUQLOLv2E0zat58kt02/ZCR+Y1Mw0EXo6Oz2FSqs9U1SDJRkZJq/nySxjSjvsGGNdp3j6BiaIP OpJXahn0CkEibebiAK5MNONiht/qXGo7Ox8gYKAyspcQwUaROqDbuEhgwQ/HJBgYUwZJpO7NJzAf 3MbzgZbnMfWLEUsgK7If5wQmcTQTmN7XijBKu/kEJvwyRCRhl0DNu8/krPbllwizmD68KAqnQ7Mn 2X+fwMT7W26MaUN6hra1T2AabQcXZ6Iu4uLEKdr5AQNjHBT/gxiALdPP4/zAngMdOup1E3mixZW2 dn6AZJP1k4mAth5qVrXwisRaCzIzyBqAIrRStrKN8wKcjBho+jTmAekMckR9+tLeA2riLhItoFc1 9eDTl+wfLAWAjYG9hFTjwT59SYIBIlyehSKhVFeVXnBAX1qZiLa2LLMVt5Y28GirtrTEQ9p4XsA6 CsVFHLVFFIZM9uN5AVsIMhKoxcviS+qVbuN5gVWLpn4tuzy4O11k4YC9JNpa7LR9AWy+dNAD9tKi IFOOIS0YV93GCwbwTqxt2IGd1GTNDLcxhFLFAFQvJd8Of9CgjC++7EIBVBcFFmzeKVMfsJdkI1AD xOg+K2cslxFffGlUn8nKmW1EN+1uHPFGhp0SrER21M7QfhRMltP0gL0kP4UdEffH8kvMks/juQE0 J/kM9q49IqmOUz55aZJtVhKyLYhsLEOqG5+8tLIpJhUnqwdD6HoWPnnJ/pblABdgS0HKloxtPnkZ 8eSUgSe1y0ryyjtze0M4ZaKnvfWu+/MoFnxZ6jL9hLrsP9HU5Xe/g7pMW+ryuD73F6Iu/XfSvXxp 7zjtOcn9dr1avlyt10+/+Rx3Oesv+0k+1481QMem6KHWbTyIAifIEDaePGfyciYvN/VuJi+9Cswz ednRDXo7M5OXnYX0PnmuH9tbSJ4K5vqxnYX0eYYM22ktpAYFyhMt5aFj1l/aqHBmkiAAp9mJUTFE Xh2bZv1lb1u5LZ31lxP6y++MvPzuzyAvEauFZLCjDoQknChk5+BKzv+lSQONJAKC1AcPB1NRZ5Sy b6bUQSOJKkaiDQ6lgq4xGAw2Bb4jI1FazTSHT1jGv4E5vGPH3sGn8VpHXQHtAySD7kJEtNor1YtD KkGP0YDEaLt4FRSQqHRwh1AhPzVuzFRU0MPcmurF4ZRW2RULU1IO+AzcXi6tDp8C10Rz1FYBttcS aY54PDVCElPojER+05+ZHEZDteMh0trwyicIJaBAWFkNnfnspQkZwJDhesDE9cD45CXF/gwPhVZH YUCyvLKZL8CEHcKHgeh43xjUoozrvgDThCI4jJXKQxSnV+hD9tIQPRwGt+Zf0gU8+hLY0C7FZmhU rGatfB7PCRBz5ACoAHqIkXPpNh57CfeAeoxRhYuE69Ku5rOXViHOWvHGOZN3SbN5Akxe/EX9NmY0 uCPSEV2OyhdgIhTBxAQaxhTcXvfjwoBdx2xG6gjGj5dKN/DpS1OEmqgLCBm5sM4T8vlLKBubAHgN lbEnbs0FglamB3NlQiUMoEkov3qsibAR1Np/UFCaFzhQYJr2x8rxlfiPhrd9ASaZDDBJKH2JU6Sl HCG1XrqIE95RhfCBbdxSYNo0Ix5MEwfznUmn9gWYUEPMa1IljMolzqmJ4POXRGisbK/da/+WXuDz l1A1Ac9k8RNRk16mDvhLorotCSaORbOon8e5AVQFUL1x31CsU2x57BYEy37gHZfED0Pg4WSlDVww wGVg7vBNLkfhpVcEX4BpwlULhFSBhe3Q6vJDBpOKwCaKQyZMjoYMbr4Ak4mDJ8AjQLQjvZLP4zOY VgMVdpG4w9SeKEtwwGDa0ODUVjkSClNGRJ/BRBqMJpAmcEsQ59J3fAbTKnLaK0/R3EFi6XKWvgDz wW18P7AtDl2wYpkqXbmBr78krkFI4zjox6CA9eO4nQGuQwndrjI4TqB17D6DyXt4LU2JYr2U6EQZ qO7NZzDZf9g7KCG9LJrG8nl8/SXMcktispqyTdIHKrcmsA4Yewk9aMT0RGbCAYGJ39jsxNb2UmLd j9sc0g8JPVYV2l7DytZFmsCLBsb2QWNTp9ZqUOuZcEBgsj0MIaOtuOkEkH/IXxr/b7Wn4e4gjeWt +V5g71Ygn8FyqKitLgPvAYFJmWvClNWtZvmZICPdosDKBr/OsFDsnQCvy0b4BKYpUEmGtMM4RdX1 Mu8TmHC3JDkmvFqX1JaJdyxk7ohAAh1FJlgZ2FSw5zneuf0+CnP5/Zv13ljp/fvtx+/rd/Vm+bf6 /uxDtX5y3jJ+3W849n3y2VXV/Ed1XX/y+et699nPX9W7Rb1pPrn++e2bN+v69epX/6t4qvHWqru/ LrtWtoUnAbPoFaFHv2A/2JGU3POiapp6d/W+2rWFFnmeZ3f2mEdN3HfRYr3avLNrtrsV91k1q+2m 6/Z6tfmhumv5z/arhwuX9bpu/Lu273+13Xet3nRs8Ob2+uV1cwDJUENsv73FGt+vNr/UyyfnYXfp dfVf291Pq8UvP1S7X7ov2d62WtDFJfdw/LvVpmvW0IJhHDve1HfNT9vud4vddr9/dueZb7DS4rL9 Xd3fbXXbbP+z3vnNntfNx7oebbBkwO1LGZrRnOM/juzqOnmYXXm+arjJ3harvuPgoiXR6dX7qmnL rwe7NOvaBrSj33erxXvjrN9sl/evdme7bfPk/BHvuW657bMP9Y6f3293v1rj6nK9b1439+u6/eGm 5bpf7eyvZf32x1c7swP0d/dR+/mO71xXm3dPzuvNo59fd9/SPL3Z7lpH+rhq3p+tNovtdW0t8Ur+ pKF9S2vT7vZ4zO5u19U9Y293f11tbqv19+PPdz9QRbUb0Hr5ru6e9f5zH/YWjS7Ir2CDSCzkQMe+ 5dtHfVHoYaJfWIaq7RnYdbEWkpNi38q9HPbNB+62tliMn7obGeZds+pN/hmv/+rfv/oquPjE9/so 86f4vpvuv9H3zSLM0Z83qyGOXbRzF8v0U4F/3ay3zbNdXdngrduQ6v41TtJdN27OnoemXlz+08Mc XDBu7BnR9ZOOw5G6OB5lW3Q4WJiWHy/gfNbdw8d+DC8sn490KXYOrJocEVovWFz2pbX5/rYojGUt 8aIbO3n/Ri9xRjFT/WO1//tm3TtSHwmXq/3Nc2bTL/tnfXx6V910d2sL1Qtbtf6OAxKWDx1wMUT8 5q6bm91sf8iUPtv/SiRmipyfvekXPzfFWRdfVbuKmX88yccJ3PW4uCT61rtNtX5RNdXZ7nJFfN/9 ddntNSzK/nyzrA5WDVzGb9NOvPY5Xt9Ui/rp/wgAAAD//wMAUEsBAi0AFAAGAAgAAAAhAMLury4W AQAAoQIAABMAAAAAAAAAAAAAAAAAAAAAAFtDb250ZW50X1R5cGVzXS54bWxQSwECLQAUAAYACAAA ACEArTA/8cEAAAAyAQAACwAAAAAAAAAAAAAAAABHAQAAX3JlbHMvLnJlbHNQSwECLQAUAAYACAAA ACEAnE5eIeIGAAA6HAAAGgAAAAAAAAAAAAAAAAAxAgAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54 bWxQSwECLQAUAAYACAAAACEAnByM2nUBAAAZBAAAHwAAAAAAAAAAAAAAAABLCQAAY2xpcGJvYXJk L2RyYXdpbmdzL2RyYXdpbmcxLnhtbFBLAQItABQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAAAAA AAAAAAAAAP0KAABjbGlwYm9hcmQvZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHNQSwEC LQAUAAYACAAAACEAFjARCBkBAACqAQAAJgAAAAAAAAAAAAAAAAATDAAAY2xpcGJvYXJkL2NoYXJ0 cy9fcmVscy9jaGFydDEueG1sLnJlbHNQSwECLQAUAAYACAAAACEAuqnqAJIgAACeswAAGwAAAAAA AAAAAAAAAABwDQAAY2xpcGJvYXJkL2NoYXJ0cy9jaGFydDEueG1sUEsFBgAAAAAHAAcABAIAADsu AAAAAA== "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;br /&gt;  &lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-Rvq9sYJ6rYw/UWE5EWg6ebI/AAAAAAAAEy8/M2B1NAInftU/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://1.bp.blogspot.com/-Rvq9sYJ6rYw/UWE5EWg6ebI/AAAAAAAAEy8/M2B1NAInftU/s320/image001.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 1. The portion of population with income in various age groups as reported by the Census Bureau.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-EjSEqy5irjI/UWE5LJ6FkgI/AAAAAAAAEzE/meiByiGROzs/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://3.bp.blogspot.com/-EjSEqy5irjI/UWE5LJ6FkgI/AAAAAAAAEzE/meiByiGROzs/s320/image002.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;&lt;/span&gt;&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 2. Age dependent Gini ratio since 1947 as measured from personal income distributions published by the Census Bureau. “With income” – the Gini ratio for the whole working age population with income. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/6754780156171639772/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/money-income-inequality-in-usa-has-not.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6754780156171639772" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6754780156171639772" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/money-income-inequality-in-usa-has-not.html" title="Money income inequality in the USA has not been changing since 1947 in all age groups" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://1.bp.blogspot.com/-Rvq9sYJ6rYw/UWE5EWg6ebI/AAAAAAAAEy8/M2B1NAInftU/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-7920384726668543583</id><published>2013-04-06T21:31:00.000+02:00</published><updated>2013-04-06T21:33:26.848+02:00</updated><title type="text">Money income inequality in the USA  is rock solid</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="font-family: Calibri;"&gt;Ten years ago we started modelling income inequality in the US using data gathered by the Census Bureau. Personal money income has been measured in the annual Current Population Surveys (CPS) since 1947. The CB counts populations in various income bins and publishes the distribution of personal incomes. Unfortunately for researches, only PDF scans are available before 1994. When these scans were still available, we downloaded them and converted into digital format.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;These distributions allow direct calculations of Gini ratio. Figure 1 demonstrates that the level of inequality, as expressed by money income, is rock solid since the late 1950s. It oscillates between 0.51 and 0.52. This is the longest and most consistent time series of income inequality. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="font-family: Calibri;"&gt;Between 1947 and 1959, Gini ratio grew.&amp;nbsp;&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;a href="http://4.bp.blogspot.com/-3lVUcT6Viok/UWB32EwG-II/AAAAAAAAEyw/GUGbl7gwW48/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="240" src="http://4.bp.blogspot.com/-3lVUcT6Viok/UWB32EwG-II/AAAAAAAAEyw/GUGbl7gwW48/s400/image001.png" width="400" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shapetype  id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"  path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"&gt; &lt;v:stroke joinstyle="miter"/&gt; &lt;v:formulas&gt;  &lt;v:f eqn="if lineDrawn pixelLineWidth 0"/&gt;  &lt;v:f eqn="sum @0 1 0"/&gt;  &lt;v:f eqn="sum 0 0 @1"/&gt;  &lt;v:f eqn="prod @2 1 2"/&gt;  &lt;v:f eqn="prod @3 21600 pixelWidth"/&gt;  &lt;v:f eqn="prod @3 21600 pixelHeight"/&gt;  &lt;v:f eqn="sum @0 0 1"/&gt;  &lt;v:f eqn="prod @6 1 2"/&gt;  &lt;v:f eqn="prod @7 21600 pixelWidth"/&gt;  &lt;v:f eqn="sum @8 21600 0"/&gt;  &lt;v:f eqn="prod @7 21600 pixelHeight"/&gt;  &lt;v:f eqn="sum @10 21600 0"/&gt; &lt;/v:formulas&gt; &lt;v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/&gt; &lt;o:lock v:ext="edit" aspectratio="t"/&gt;&lt;/v:shapetype&gt;&lt;v:shape id="Chart_x0020_1" o:spid="_x0000_i1025" type="#_x0000_t75"  style='width:361pt;height:217pt;visibility:visible' o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQCcTl4h4gYAADocAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWU9vG0UUvyPx HUZ7b+P/jaM6VezYDbRpo9gt6nG8Hu9OM7uzmhkn9Q21RyQkREEcqMSNAwIqtRKX8mkCRVCkfgXe zOyud+I1SdsIKmgO8e7b37z/782b3ctX7kUMHRIhKY87XvVixUMk9vmExkHHuzUaXFj3kFQ4nmDG Y9Lx5kR6Vzbff+8y3vAZTcYci8koJBFBwCiWG7jjhUolG2tr0gcylhd5QmJ4NuUiwgpuRbA2EfgI BERsrVaptNYiTGNvEzgqzajP4F+spCb4TAw1G4JiHIH0m9Mp9YnBTg6qGiHnsscEOsSs4wHPCT8a kXvKQwxLBQ86XsX8eWubl9fwRrqIqRVrC+sG5i9dly6YHNSMTBGMc6HVQaN9aTvnbwBMLeP6/X6v X835GQD2fbDU6lLk2RisV7sZzwLIXi7z7lWalYaLL/CvL+nc7na7zXaqi2VqQPaysYRfr7QaWzUH b0AW31zCN7pbvV7LwRuQxbeW8INL7VbDxRtQyGh8sITWAR0MUu45ZMrZTil8HeDrlRS+QEE25Nml RUx5rFblWoTvcjEAgAYyrGiM1DwhU+xDTvZwNBYUawF4g+DCE0vy5RJJy0LSFzRRHe/DBMdeAfLy 2fcvnz1Bx/efHt//6fjBg+P7P1pGzqodHAfFVS++/ezPRx+jP5588+LhF+V4WcT/+sMnv/z8eTkQ ymdh3vMvH//29PHzrz79/buHJfAtgcdF+IhGRKIb5Ajt8wgMM15xNSdj8WorRiGmxRVbcSBxjLWU Ev59FTroG3PM0ug4enSJ68HbAtpHGfDq7K6j8DAUM0VLJF8LIwe4yznrclHqhWtaVsHNo1kclAsX syJuH+PDMtk9HDvx7c8S6JtZWjqG90LiqLnHcKxwQGKikH7GDwgpse4OpY5fd6kvuORThe5Q1MW0 1CUjOnayabFoh0YQl3mZzRBvxze7t1GXszKrt8mhi4SqwKxE+RFhjhuv4pnCURnLEY5Y0eHXsQrL lBzOhV/E9aWCSAeEcdSfECnL1twUYG8h6NcwdKzSsO+yeeQihaIHZTyvY86LyG1+0AtxlJRhhzQO i9gP5AGkKEZ7XJXBd7lbIfoe4oDjleG+TYkT7tO7wS0aOCotEkQ/mYmSWF4l3Mnf4ZxNMTGtBpq6 06sjGv9d42YUOreVcH6NG1rl868flej9trbsLdi9ympm50SjXoU72Z57XEzo29+dt/Es3iNQEMtb 1Lvm/K45e//55ryqns+/JS+6MDRoPYvYQduM3dHKqXtKGRuqOSPXpRm8Jew9kwEQ9TpzuiT5KSwJ 4VJXMghwcIHAZg0SXH1EVTgMcQJDe9XTTAKZsg4kSriEw6Ihl/LWeBj8lT1qNvUhxHYOidUun1hy XZOzs0bOxmgVmANtJqiuGZxVWP1SyhRsex1hVa3UmaVVjWqmKTrScpO1i82hHFyemwbE3Jsw1CAY hcDLLTjfa9Fw2MGMTLTfbYyysJgonGeIZIgnJI2Rtns5RlUTpCxXlgzRdthk0AfHU7xWkNbWbN9A 2lmCVBTXWCEui96bRCnL4EWUgNvJcmRxsThZjI46XrtZa3rIx0nHm8I5GS6jBKIu9RyJWQBvmHwl bNqfWsymyhfRbGeGuUVQhVcf1u9LBjt9IBFSbWMZ2tQwj9IUYLGWZPWvNcGt52VASTc6mxb1dUiG f00L8KMbWjKdEl8Vg12gaN/Z27SV8pkiYhhOjtCYzcQ+hvDrVAV7JlTC6w7TEfQNvJvT3jaP3Oac Fl3xjZjBWTpmSYjTdqtLNKtkCzcNKdfB3BXUA9tKdTfGvboppuTPyZRiGv/PTNH7Cbx9qE90BHx4 0Ssw0pXS8bhQIYculITUHwgYHEzvgGyB97vwGJIK3kqbX0EO9a+tOcvDlDUcItU+DZCgsB+pUBCy B23JZN8pzKrp3mVZspSRyaiCujKxao/JIWEj3QNbem/3UAipbrpJ2gYM7mT+ufdpBY0DPeQU683p ZPnea2vgn558bDGDUW4fNgNN5v9cxXw8WOyqdr1Znu29RUP0g8WY1ciqAoQVtoJ2WvavqcIrbrW2 Yy1ZXGtmykEUly0GYj4QJfAOCel/sP9R4TP7BUNvqCO+D70VwccLzQzSBrL6gh08kG6QljiGwckS bTJpVta16eikvZZt1uc86eZyTzhba3aWeL+is/PhzBXn1OJ5Ojv1sONrS1vpaojsyRIF0jQ7yJjA lH3J2sUJGgfVjgdfkyDQ9+AKvkd5QKtpWk3T4Ao+MsGwZL8Mdbz0IqPAc0vJMfWMUs8wjYzSyCjN jALDWfoNJqO0oFPpzybw2U7/eCj7QgITXPpFJWuqzue+zb8AAAD//wMAUEsDBBQABgAIAAAAIQCc HIzadQEAABkEAAAfAAAAY2xpcGJvYXJkL2RyYXdpbmdzL2RyYXdpbmcxLnhtbKRTTU8CMRC9m/gf mt5lAVHMhoUDiPGiJOoPmHS7H3HbbtqyLv/eaamhookGLk077byZ9950tuhFQzquTa1kRkeDISVc MpXXsszo2+v66o4SY0Hm0CjJM7rjhi7mlxczSEsNbVUzggjSpJDRyto2TRLDKi7ADFTLJd4VSguw eNRlkmv4QGTRJOPh8DYRUEs6P0CtwALZ6voEqEaxd54vQXZgELJhaRwJPTbsfGRIZfeg25d2o13n 7KnbaFLnGUXlJAiUiCbhIjzDY3KUVR4A+kIL914VBek9ys6tHoP3ljAMTm6mqBcWYHg3nk6u8RSq VM+/5LHq/o9MbGhfGDdRM8HStUYirilH1ZvsI8eMR1+MlxVoS0YR8TjpwD+OOvhQLtqeMQHMNYHW s9TvguWnOL5HCgD6PyOD5tWMrxTbCi7tfrg1b8DirzJV3RpKdOqGRD/mXiYvu5fDMfYDEolxzkx8 d/agONY4+hRx1R9dfAIAAP//AwBQSwMEFAAGAAgAAAAhAGcD7obOAAAArAEAACoAAABjbGlwYm9h cmQvZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHOskM1qwzAMgO+DvYPRfVbSwxijTi+l 0OvoHkA4yg9NbGOpZX37mRbGAoVeepGQhD59aL35mSdz5ixjDA5qW4Hh4GM7ht7B92H39gFGlEJL Uwzs4MICm+b1Zf3FE2lZkmFMYgoliINBNX0iih94JrExcSiTLuaZtJS5x0T+SD3jqqreMf9nQLNg mn3rIO/bFZjDJZXLj9mx60bP2+hPMwe9cwK1eHEBUu5ZHVh769xibYsr4H2N+pkafqCsC41rR/Ca /jxw8ePmFwAA//8DAFBLAwQUAAYACAAAACEAiwU0KQoBAACbAQAAJgAAAGNsaXBib2FyZC9jaGFy dHMvX3JlbHMvY2hhcnQxLnhtbC5yZWxzhJBNS8QwEIbvgv+hDHi0aav4sTRdBFfpQRRZb73EZNpG 0yQkU+n+e3MpuiB4GZiP93mHt94uk8m+METtLIcyLyBDK53SduDwtn84v4EskrBKGGeRwwEjbJvT k/oVjaAkiqP2MUsUGzmMRH7DWJQjTiLmzqNNm96FSVBqw8C8kJ9iQFYVxRULvxnQHDGzVnEIrSoh 2x98cv6f7fpeS7x3cp7Q0h8WzBl8fv9ASQkqwoDEodcG08us3XQ76aybtIzdXSAtDcYX4VM0nQqi p9g9aqvPqiK9n2pVlBfrZHIKzc9e0ixM52byM60n5e3ldb6YuKzOT0nDYbcQBisMsKZmR5E23wAA AP//AwBQSwMEFAAGAAgAAAAhAFdffxrfCQAAgyMAABsAAABjbGlwYm9hcmQvY2hhcnRzL2NoYXJ0 MS54bWy8mm1v2zgSgL8fcP/B6/bjJRYpkqKMTRapuymKa2+DvuwC902xmVhXWfJKSpv0198MX2Vv J9kucCeghS3NkJyHnNGMJz/+dL9rZp9NP9RdezZnp9l8Ztp1t6nb27P5xw+XJ3o+G8aq3VRN15qz +YMZ5j+d//1vP66X623Vj+/31drMYJB2WK7P5ttx3C8Xi2G9NbtqOO32poVnN12/q0b42t8uNn31 BQbfNQueZWphB5n7Aaq/MMCuqtug3/8Z/e7mpl6bl936bmfa0a2iN001AoFhW++H+TkYt6lGw8pM zD5Xzdk8my/wZlO1t+6GaU9evXA3++6u3ZjNqutbwDiR362XF81o+haGWnXtCLN5O3d/itSu6j/d 7U/W3W4Pi7uum3p8sMuFBcLYq20Hdszemd/v6t4MZ/M1EwEEfPwDil297ruhuxlPYcSFoxB2A4ct FnrB/X6AsUwsh/GhMc4glnG0dhHntUu4rJrmulp/QjYT4SianqPiMQzUstuPH6q7sftQj415aRoz mo2f1iHeN9140ZsKBZvqobsb8dOuau+q5k387p58qPpbMzr1uoUtcUPcv+023hazuTXu5sO3bt77 LTxlQhU5U7zgpZK6KK1Z6+WDey7heZZJKbKyEJkQWv984iW+hBF0xjXPS/hP6lIVMnfTbtPzjDPO FAxR6qIQCp8vji2DG8noYV2NcKZW6HsIwX9/n7Zq2HXduH0LhyfY/rnqH1Zd0x2cTlA1PY5Qb7zF zK2u6zem9yt0d8Z7O9PYvzM3+Onm/FXd1j88Xz1nuFp7bxj7VQVej8/34wp8wu+BH3U/zmAi9CSU +Hz+Wz1uZ68h0uwMjvHZ2r0Hk+BLGst9sdPCR7+O/RWsu1o27ewLRCxeZDhmtRy6pt5c1k1jv/S3 16vGm3F5mcFl2R6ILXAQN6MdE8EjNWvtw+66g8iI3t9C5Is7EwTuf61gpvWyvdsdYbl4zpfPL54r FeGATITjYuEKTuP5KwPHs2qsmI2Q9u4xQCXdLhwTZKUoDtEheUeZecogoykZnmRKSiaPMjKjZESS scchbWVaj0wynBpHJZmckimSjKBkdJKRlEyZZOwufWvNLBxVVkoadCItSdIsoZYkapZYK5I1RHjn PqxUJGyWaCuSNku4FYmbJd6K5M0ScEUCZ4m484tvEeeJuCKJ80RckcR5Iq5I4jwRL0jiPBEvSOI8 ES9I4jwRL0jiPBEvSOI8ES9I4jwRL8gznifiBUk8T8QLknieiBck8TwR1yTxPBHXJPE8Edck8TwR 1yTxPBHXJPE8Edck8TwR1yRxkYhrkrhIxDVJXCTimiQuEvGSJC4S8ZIkLhLxkiQOGUyITyVJXCTi JUlcJOIlSVwk4iVJXCbiJUlcJuIlSVwm4iVJHJI8hwBSapK4DMRBiCQuA3EQIonLQByESOIyEAch krgMxEGIJC4DcRAiiatAHIRI4ioQByGSuArEQYgkrhJxRhJXiTg7Ig6ZZUrQ3JeQcYYk74FM9laY 7K3+58ledipkLriQjJfuIsEGrqCiRA7cSsx+8SIPUaCMKgry6Zx+rQTWIFoornUORbK7yNEDeRw9 Z7rgTHuVo434Y74IKlILXSitvdn0UfFuhwvjpYa1sadmCV5hbdGZLrR8apbgI6BSMp4XXANhe5Hm B48BFa21YhK3xF6kLTH1RJ0yA8bFk8awyb6DuIR/pMfEhDQ7lRmT4Fw5vZa04xLKXVnyTHmTyVAS 01QYH8rbUggOc9iLjCwxa8U1QcGdCRX2nLYjBD/QYUyxgnGoye1FxsKY06JOzoXI4zT0PGnbYZ4S Cnm6rIqZLo4vcEUyHBHyuMfEF3U0TCAAmr+oEibmwdZ2kReZDG5FBuaYFqMOnBBV8DAPGU5ilow6 Za5yyUMIInnFpBl18pIJCCt+X2gG4W1n5ykUK1lAQM8z3f+yyLM8oH4k1iWvBwaCK82En4j0gZhw w9oyLYGDDDqkD8T82zIoIOxBYHUXGSpiOv49OsnvJRcFXmEe0gdiso7zaKYgwgZwtM4kDsBvVrzM szARrZNCP/gC/EimBG374f5LqbIQM0jGMcG3dmg4y/mTETzm+6gDsRX8P+iQfhPTf9SB3+mECip0 RhmrATtPARFDhjclGQNjcYA6KtcCooc/m6R/xloBdYBxBl791HmOpYPVgTmyp+NArCRQJ+OSF/j7 p71oeyb7n2GukN59JOtYZ+A8PFdlXoZ5yHMWy47v0ZnGAXgtZ/jOdBfN+uA9IDk4tVeh64FYo1hu MgP3fNLXYsmCOkyXAC7okKxjBWN1IEIxuuaNhQzKYtSAxCwYQr1vYl2DOrnmWuXhbJJxM5Y5qFPw rIQEyJ8Z8j0Qqx7UUSJjcZpHCrPpe6DgOU5E2jHddynx5D+ZW8XSyNqRl6qM/kLvR8r74BxDElDE c0zGwFg4wTyZLArI/ch3X6yfcE0c+ghQtXm2pJ/EcsrqQJrF40uJ3I9YXaGOgFCRx+BHMo7FFupo JmEbQ+w7iuWP1F6h5nL9DPdLvG0mgI5vXWzeXDcDVtvDtvvyxtyadvNP4/szvmWHT6B4O+hn4L1V Nf6r2vmO0ET2vem/ef/K9Gts4NmGwET+xd31dWPe11+nQ8EK49Kq+9e+mVWU4GUKfni1vcSD+3DM XXsJbTvq8MCMF7YBc6AxGQkUGuioIoeur2GRtpXpVrqr27fVvW9eTAQ3tst2YE11f9X59uW1WyJU xZe7cZY6Fmdz37KAnnB3B0De1O0ns4EujFPYVf/p+g/1+hN2n9zg0Kvzz+r2+Bk0bi2KETRgJ+P0 rbkfP3TuGfYshwvfoQKCkRT0DvGR8UvG/uG/TT/VemHGL8a0AcQGthzHBMQRafxwwHYyxwTZI2yx cRTbhhBTDi4R7fe4oab165iM/viGNH4M5Puqrzew32aw7GCDj2+N2EbF0+D6ZX293mJL7LrbPFz1 s74bz+Yn0LbEa46tf/i+7fqvOAU0xIbR9hLtlz3e8e22jbl5d9Ujv3irx8c9jIl98bM59MQ/vnej jLZDOOvxJKIC9vVA1CnbLXCrgr1wi0wNzuOu7nc3bsvTgk8vVv584vcghIZT+ClFQv4iICRzBtEd zXq07doBJ1jjxGFw6QH0Nxzl2T+ePctOkfChp/jQ8X/wlEmE+IuegkTgwH1sax/3JBg0vZhveSeX gk/TZj1+/rUefmkbj84Hik097F/Aqfk0XHj/va32uAsulL/EuP4LIIfYdYg8/r3AeO+6wO5U29P6 xNGdDV+xXYxbcu3/oiMdZXhzXFV9BSf8+DCjjD0dbsb1EoIT/k1H87Iaq1kP7fOzef9646owjEIf 9/i3I4fLnurYwawd9m9nzv8LAAD//wMAUEsBAi0AFAAGAAgAAAAhAMLury4WAQAAoQIAABMAAAAA AAAAAAAAAAAAAAAAAFtDb250ZW50X1R5cGVzXS54bWxQSwECLQAUAAYACAAAACEArTA/8cEAAAAy AQAACwAAAAAAAAAAAAAAAABHAQAAX3JlbHMvLnJlbHNQSwECLQAUAAYACAAAACEAnE5eIeIGAAA6 HAAAGgAAAAAAAAAAAAAAAAAxAgAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWxQSwECLQAUAAYA CAAAACEAnByM2nUBAAAZBAAAHwAAAAAAAAAAAAAAAABLCQAAY2xpcGJvYXJkL2RyYXdpbmdzL2Ry YXdpbmcxLnhtbFBLAQItABQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAAAAAAAAAAAAAAP0KAABj bGlwYm9hcmQvZHJhd2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHNQSwECLQAUAAYACAAAACEA iwU0KQoBAACbAQAAJgAAAAAAAAAAAAAAAAATDAAAY2xpcGJvYXJkL2NoYXJ0cy9fcmVscy9jaGFy dDEueG1sLnJlbHNQSwECLQAUAAYACAAAACEAV19/Gt8JAACDIwAAGwAAAAAAAAAAAAAAAABhDQAA Y2xpcGJvYXJkL2NoYXJ0cy9jaGFydDEueG1sUEsFBgAAAAAHAAcABAIAAHkXAAAAAA== "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;span style="font-family: Calibri;"&gt;Figure 1. Gini ratio since 1947&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/7920384726668543583/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/money-income-ineqaultiy-in-usa-is-rock.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/7920384726668543583" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/7920384726668543583" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/money-income-ineqaultiy-in-usa-is-rock.html" title="Money income inequality in the USA  is rock solid" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://4.bp.blogspot.com/-3lVUcT6Viok/UWB32EwG-II/AAAAAAAAEyw/GUGbl7gwW48/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-6330850673589405715</id><published>2013-04-05T18:48:00.003+02:00</published><updated>2013-04-05T18:48:59.952+02:00</updated><title type="text">The use of synthetic master events for waveform cross correlation</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;The &lt;a href="http://www.egu2013.eu/"&gt;EGU General Assembly 2013&lt;/a&gt;&amp;nbsp; starts on Monday, April 8. We have three posters on&amp;nbsp; various aspects of waveform cross correlation in seismic monitoring. This is&amp;nbsp;the&lt;a href="http://www.academia.edu/3217973/The_use_of_synthetic_master_events_for_waveform_cross_correlation"&gt; link&lt;/a&gt; to one&amp;nbsp;of them in PDF.&amp;nbsp; &lt;a href="http://www.academy.edu/"&gt;www.academy.edu&lt;/a&gt;&amp;nbsp;is again very useful. &lt;br /&gt;&lt;br /&gt;And &lt;strong&gt;abstract:&lt;/strong&gt; &lt;br /&gt;&lt;br /&gt;    &lt;br /&gt;&lt;div style="border-color: currentColor currentColor rgb(79, 129, 189); border-style: none none solid; border-width: medium medium 1pt; mso-border-bottom-themecolor: accent1; mso-element: para-border-div; padding: 0cm 0cm 4pt;"&gt; &lt;div align="center" class="MsoTitle" style="margin: 0cm 0cm 15pt; text-align: center;"&gt;&lt;span style="color: #17365d;"&gt;&lt;em&gt;&lt;span style="font-family: &amp;quot;Cambria&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ascii-theme-font: major-latin; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-latin;"&gt;The use of synthetic master events for waveform cross correlation&lt;/span&gt;&lt;/em&gt;&lt;em&gt;&lt;span style="font-family: &amp;quot;Cambria&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; mso-ascii-theme-font: major-latin; mso-bidi-font-family: &amp;quot;Times New Roman&amp;quot;; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: PMingLiU; mso-fareast-language: EN-GB; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: major-latin;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/em&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"&gt;&lt;b style="mso-bidi-font-weight: normal;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 10pt; mso-ansi-language: EN-US;"&gt;Abstract&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; mso-layout-grid-align: none; text-align: justify;"&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;It has been clearly demonstrated that waveform cross correlation substantially improves signal detection, phase&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;association and event building. These processes are inherently related to the Comprehensive Nuclear-Test-Ban&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;Treaty (CTBT) monitoring. The workhorse of cross correlation is the set of seismic master events (earthquakes&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;or explosions) with high quality waveform templates recorded at array stations of the International Monitoring&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;System (IMS). For the monitoring to be globally uniform, these master events have to be evenly distributed and &lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;their template waveforms should be representative and pure. However, global seismicity is characterized by a&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;non-uniform distribution. Therefore, the master events selected from the Reviewed Event Bulletin (REB) produced&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;by the International Data Centre (IDC) can be found in the areas constrained by the global seismicity. There&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;are two principal possibilities to populate the globe with master events: to replicate real REB events or to build&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;synthetic events. Here we compare the performance of these two approaches as applied to the aftershock sequence&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;of the April 11, 2012 Sumatera earthquake. To compute synthetic waveforms, we use AK135 teleseismic velocity&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;model and local CRUST-2 models for source and receiver, and four different source functions representing three&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;different source mechanisms for earthquakes and one for explosion. The synthetic modelling is performed for&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;teleseismic events and based on the stationary phase approximation to a wave equation solution developed by J.&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;Hudson. &lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;The grid covering the aftershock area consists of 16 points. For each grid point, we find detections associated with&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;real, replicated, and four versions of synthetic master events at seven IMS array stations, and then build event&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;hypothesis using the Local Association (LA) procedure based on the clustering of origin times as estimated by&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;back projection of the relevant arrival times with known master/station travel times. Then all conflicts between the&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;hypotheses built by different masters for physically same events are resolved. There are two principal ways to compare&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;the performance of actual, replicated, and synthetic master events: to compare the characteristics/distributions&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;of detections (also station dependent) and those of event hypotheses. Both datasets have shown that the synthetic&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;events provide the same overall performance as the real and replicated master events. The best performance is&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;associated with the explosion source and the earthquake with the Harvard CMT solution for one of real events.&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;When source mechanism and velocity model are appropriately chosen, the global grid of synthetic masters may&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;allow a reduction in the magnitude threshold of seismic monitoring and improving the accuracy and uncertainty&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;of event locations at the IDC to the level of the best located events. When a ground truth event is available, one&lt;/span&gt;&lt;span style="font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: NimbusRomNo9L-Regu; font-size: 12pt; mso-bidi-font-family: NimbusRomNo9L-Regu;"&gt;can expand its influence over hundreds of kilometres.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/6330850673589405715/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/04/the-use-of-synthetic-master-events-for.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6330850673589405715" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6330850673589405715" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/04/the-use-of-synthetic-master-events-for.html" title="The use of synthetic master events for waveform cross correlation" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-6160231542427672402</id><published>2013-03-19T20:18:00.002+01:00</published><updated>2013-03-19T20:18:34.913+01:00</updated><title type="text">Time to sell the S&amp;P 500</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;In the middle of December 2012, we &lt;a href="http://mechonomic.blogspot.co.at/2012/12/successfully-sold-s-500-index.html"&gt;&lt;span style="color: blue;"&gt;reported&lt;/span&gt;&lt;/a&gt;on the evolution of S&amp;amp;P 500 and decided to sell the index at 1430, which we had bought at 1352 in November. Due to technical reasons not related to our investing decisions we were able to sell the whole lot only on December 15 at 1420. The return from November is 4.7%; and from May 2012, when we first formulated this tactics, we made around 15%. We also decided to buy the S&amp;amp;P 500 at ~1400 whenever it comes. This level was touched on December 28. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Then we predicted a rally to 1550 according to our simple and straightforward investing tactics – we follow the trajectory of the S&amp;amp;P 500 observed during the rally between 2002 and 2007. In March 2013, the S&amp;amp;P 500 exceeded 1560 and currently stays to fall to 1450 in a month. If to follow up our procedure, as explained in Figures 1 through 6, it’s time to sell and wait for a new short-term rally in June-October 2013. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;Then a tremendous fall down to 750 in 2015 is not excluded. Since 2009, the S&amp;amp;P 500 has been exactly following the previous trajectory. Why should it stay high after October 2013? Currently, I am in 10-year bonds and look for 1.5% to 1.7% yield to sell them in June. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify; text-indent: 36pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;In March 2012, we first &lt;/span&gt;&lt;span lang="EN-US"&gt;&lt;a href="http://seekingalpha.com/article/456831-on-the-long-term-evolution-of-the-stock-market-part-1-working-age-population"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="color: blue;"&gt;published&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;a graph which showed that the S&amp;amp;P 500 index would have a local fall in May 2012 at the level &lt;/span&gt;&lt;span lang="EN-US"&gt;&lt;a href="http://seekingalpha.com/article/490601-how-deep-will-the-s-p-500-fall"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="color: blue;"&gt;1300&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;In a few sessions, we bought S&amp;amp;P 500 index in May/June 2012 at the level 1287 to 1322.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;The initial idea was to sell by the end of 2013 at 1525 and get a 12% to 14% return. &lt;/span&gt;&lt;span lang="EN-US"&gt;&lt;a href="http://mechonomic.blogspot.co.at/2012/09/10-return-since-may-but-time-to-halt.html"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="color: blue;"&gt;In September&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;, the S&amp;amp;P was at 1450, which was far above the expected level, and we decided to sell and wait a negative correction to 1350 to 1375 to re-enter the index. Selling at ~1460, we obtained an approximately 10% return in September.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;span lang="EN-US"&gt;&lt;a href="http://seekingalpha.com/article/958871-when-i-buy-and-sell-the-s-p-500"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="color: blue;"&gt;In October&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;, the S&amp;amp;P 500 fell to 1350 as had been predicted in September and we re-entered in two sessions at 1348 and 1355. By the end of November the S&amp;amp;P 500 regained 4.5% (1416). Two weeks ago, we expected the index to rise to 1430 to 1450 in December 2012. This was considered as the best time to sell before the next negative correction in December 2012/ January 2013. In reality, this correction to 1400 was very short. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Below we present the evolution of the S&amp;amp;P 500 and the step-by-step assumptions illustrating the decisions we have made since March 2012.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 1 shows the evolution of the S&amp;amp;P 500 index since 1980. After 1995, the index behavior reveals some saw teeth with peaks in 2000 and 2007. The current growth resembles those between 1997 and 2000 and from 2003 and 2007.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;There are two deep troughs in 2002 and 2009 which are marked by red and green lines.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;For the current analysis we assume that the repeated shape of the teeth is likely induced by a degree of similarity in the evolution of macroeconomic variables. The intuition behind such an assumption is obvious – in the long run the stock market depends on the overall economic growth.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Having two peaks and troughs between 1995 and 2009, what can we say about the current growth in the S&amp;amp;P 500? Before making any statistical estimates, in Figure 2 we have shifted forward the original curve in Figure 1 in order to match the 2009 trough (blue line).&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;When the 2002 and 2009 troughs are matched, one can see that the current growth path closely repeats that after 2002. The first big deviation from the blues curve in Figure 2 started in 2011 and had amplitude of 150 units (from 1210 to 1360).&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;The black curve returned to the blue one in August/September 2011. From December 2011, we observed a middle-size deviation of about 100 units&lt;b style="mso-bidi-font-weight: normal;"&gt;. &lt;o:p&gt;&lt;/o:p&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-DZKnLUW8UFQ/UUi5rh7tfAI/AAAAAAAAEx4/pIIltWetfkw/s1600/image004.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://3.bp.blogspot.com/-DZKnLUW8UFQ/UUi5rh7tfAI/AAAAAAAAEx4/pIIltWetfkw/s320/image004.gif" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&amp;nbsp;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 1. The evolution of the S&amp;amp;P 500 market index between 1980 and 2012. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;  &lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;In April 2012, we &lt;/span&gt;&lt;span lang="EN-US"&gt;&lt;a href="http://seekingalpha.com/article/490601-how-deep-will-the-s-p-500-fall"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="color: blue;"&gt;predicted&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;a drop in the S&amp;amp;P 500 to the level of 1300 by the end of May. Figure 2 shows the predicted behavior in April and May 2012, with the predicted segment shown by red line. We expected that the path observed in the previous rally would be repeated with the bottom points coinciding.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;When this prediction realized, we invested at the average price 1320. In May 2012, the expected exit level was 1500 in October 2013. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%; mso-ansi-language: EN-GB; mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shape id="_x0000_i1029" type="#_x0000_t75"  style='width:434.5pt;height:287.5pt;visibility:visible' o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQDhUTcfzwYAAOYbAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPx P4x8b7PfzUbdVNnNbgNt2ijZFvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8C b2ZsryfrkLSNoILmkLWff/O+35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE 9Lw5kd6V9fffu4zXfEbTCcciGEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FA zFYatVpnJcY08daBo9KMhgz+JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44Zjc Ux5iWCr40PNq5s9bWb+8gteyQUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6 wc8AsO+DpVaXMs/WaLXez3mWQPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgD svj2Er7V3xgMOg7egCy+s4QfXep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1i yhN1Uq7F+C4XIwBoIMOKJkjNUzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599 //LZE3R0/+nR/Z+OHjw4uv+jZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8 FuY9//Lxb08fP//q09+/e1gB3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ng P1SRg74xxyyLjqNHn7gevC2gfVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJW xu1ifFAle4ATJ77DWQp9M09Lx/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6 ZEwnTjYtBm3RGOIyr7IZ4u34Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWS e3Phl3FDqSDSIWEcDQMiZdWYmwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy 9gO5DymK0Q5XVfBt7laIfoc44OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD 59eOoQE+//pRRWa9rY14A+akqkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5U z2dttIveCm1XrxvsotgskeMTV8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4 +oiqaC/CKSyw655mEsqMdShRyiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYz F9TUDM4qrHkpYwpmv46wulbqzNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc7 9+ZhMVE4zxDJCAcki5G2ezlGdROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn 8CJKum6PlSNLysXJEnTY87rtRttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2C OhxTWL8vGez0gVRItYllZFPDfMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5R tO/sa9ZK+UwRsRcFh2jCZmIXQ/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12i eSVbuKnjQgfzVlIPbKvU3Rj36qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qP BCwcTO+AbIGzWPgMSQUnyOZXkAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2Qy qqSuTK3aE3JA2Fj3wI6e2z0UQaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82 C5rc/4WKFbOqHW+G53Nv2RD9YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDe g/Q/mP+o8Jm9bdAT6pjvQm9FcNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3k HnO21uws8X5FZxeLM1ecU4vn6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET 3B15QGtoWkPT4AkuhGCxZG9xel72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekf D+W3GbCCy24/8qbqXM2t/wUAAP//AwBQSwMEFAAGAAgAAAAhAM80pBeCAQAARAQAAB8AAABjbGlw Ym9hcmQvZHJhd2luZ3MvZHJhd2luZzEueG1spFPRSsMwFH0X/IeQd9duY1PKuj1sTgTRgfoBlzRt g01akqx2f+9NG1mtirK9hOQm99xzzz1ZrBpZkJprI0oV0/EopIQrViZCZTF9fdle3VBiLKgEilLx mB64oavl5cUCokxDlQtGEEGZCGKaW1tFQWBYziWYUVlxhXdpqSVYPOosSDS8I7IsgkkYzgMJQtHl EWoDFsheixOgipK98WQNqgaDkAWL+hHPsWDnI0Ok6jtdPVc77Zizx3qniUhiisopkCgRDfyFf4bH YJCVHQGaVEv3vkxT0rQoB7e2GLyxhGFwNgvn1xMswPBuOp/eYMBXyZ9+yGP57R+ZSKgrjJseGT/S rcZGHCnXajvkNjLsePLZ8ToHbcm01/gwqQ/8gKMynSio3rCAl+oXAEfKY51hFub4oktY1O68O04x R4fkAfR/3IVzFoxvSraXXNnuH2hegMUPaHJRGUp05Pyk75OxU7SdUCuH67h/dmKcY5+vJjgqjjUG /6df9RuLDwAAAP//AwBQSwMEFAAGAAgAAAAhAGcD7obOAAAArAEAACoAAABjbGlwYm9hcmQvZHJh d2luZ3MvX3JlbHMvZHJhd2luZzEueG1sLnJlbHOskM1qwzAMgO+DvYPRfVbSwxijTi+l0OvoHkA4 yg9NbGOpZX37mRbGAoVeepGQhD59aL35mSdz5ixjDA5qW4Hh4GM7ht7B92H39gFGlEJLUwzs4MIC m+b1Zf3FE2lZkmFMYgoliINBNX0iih94JrExcSiTLuaZtJS5x0T+SD3jqqreMf9nQLNgmn3rIO/b FZjDJZXLj9mx60bP2+hPMwe9cwK1eHEBUu5ZHVh769xibYsr4H2N+pkafqCsC41rR/Ca/jxw8ePm FwAA//8DAFBLAwQUAAYACAAAACEAoxUAofYAAABtAQAAJgAAAGNsaXBib2FyZC9jaGFydHMvX3Jl bHMvY2hhcnQxLnhtbC5yZWxzhNDBSsQwEAbgu+A7hAGPNtkFRZami+CKexDFXW+9xHTaxiaZkKTS fXtzEVwQPA7DfP/w19vFWfaFMRnyElaVAIZeU2f8IOH9+Hh9Byxl5TtlyaOEEybYNpcX9RtalctR Gk1IrCg+SRhzDhvOkx7RqVRRQF82PUWnchnjwIPSkxqQr4W45fG3Ac2ZyfadhLjvVsCOp1CS/7ep 743GB9KzQ5//iOBk8eXjE3UuqIoDZgm9sVhe5k+bdqfJkzM6tQfEqTRwb8Oo2sPrjRAtLhpt61Sc MF+tRT/nOWK12LT8WM/UlTd3S8bolQXe1PyspOYbAAD//wMAUEsDBBQABgAIAAAAIQBZAiHFNTkA ACogAQAbAAAAY2xpcGJvYXJkL2NoYXJ0cy9jaGFydDEueG1szH1dcyNHkuT7md1/4NJkNk9ioz6A QtG2e03qWY2tneZWNpqZh3tDk+hunkCCB6Kl7vn155lAeTg08tjau92zw4PUJCuQWRGekZkekZH/ +E+fH3dXP28PLw/7p9fXzc3i+mr7dLe/f3j68Pr6L3/+7uv19dXLcfN0v9ntn7avr79sX67/6c1/ /S//eHd793FzOP74vLnbXuFLnl5u715ffzwen29fvXq5+7h93Lzc7J+3T/jb+/3hcXPEj4cPr+4P m1/w5Y+7V+1isXpVv+T6/AWb/4MveNw8PE3yhzny+/fvH+62v9/ffXrcPh1PvThsd5sjNPDy8eH5 5foNXu5+c9w246K/+nmze329uH5VfrnbPH04/WL79PUfvj398rD/9HS/vX+7PzxBjfL8493tN7vj 9vCEr3q7fzqitfN7Ps7S1OPm8NOn56/v9o/P6Ny7h93D8UvtLjqI7377cY/3uPrT9n99ejhsX15f 3zX9pAj88+9U8fhwd9i/7N8fb/CNr05amKxRvnZ4tX7Vnu2Bl23625fjl9329ELNoi1v+4rt1i58 t9nt3m3ufiq6kYf5aPy9CP5aGUWqmr/8Y/PpuP/zw3G3/f12tz1u70WPd7fPu/3xm8N2Ux7cbb7s Px3Lvx43T582u+/58+kvf94cPmyPJ/GHJ5jkZKXPf9zfn99le/9he/rll9/65edz0zdNOw6rcRi6 5XoYx8U4nIVOf29vVutFNwyLbtl07bpddf/8dX3xu9tfpm9YN91y2S7a5dCM46pvm9M3fJz+PjZt 06yWHZ5rxuXYLsvfX/36zfCLeOmXu80RmHpbxl5RwvnnH8NUL4/7/fHjHwGe6d1/3hy+vN3v9hfo hOj2UL7h4f78xufe7w/328Oph+f+Hj+X535+sz88fHh42uyujg+P2yuIP2xfSnd/rp0+PfXy/AO+ dXO7e7r65fV1u14OS8B1c/uy3z3cf/ew29UfinvYvt2dmzl+rg29ungKP+2e6hefvrJopbxSfekv j+/2cFtlaD7BLVFt0wOf/7pBQ3e3T58e/7R9X/71/s3vfvxhuVj87h+++uar5hb/6VZd6Xz9K557 u0Gn6pPVWb0FXN78YQv8bHb1sfgtvu35+Baj/owyfNHJrs/HKyizeIvyPT+/acZ1G/p5rvaanmnk mZvFups+i6WTaFWiWcXHSnQq0drHen1s6gf+v2hcV4pJpxe86aMv65WTWF1IjPGxvRpUYikKsr1a q0SoZ7WyEqNKDH30qiLjBOtfmU1texO9akf76s2FqUfRlm/lwtbRrXG0r9KIsTsBVDv2ziaYLmjG 7ib6lSisEct3N21obD3aVsT03U3AK+uY2L5TfA2+FTE+REJlHpKNWL+7CYS1ox20rVi/u5kFMfh8 UbJgbG3t0or1uwuM+Y5dWF8wNvhWLqwfCkt8FuYnvkuvGPPWb8X6/TyMtWL9/gJjDmKtGL9XiCX9 EuP3FxBzjXRie0iEwobBiojte0XY2nq9TmzfK8KWa9uK2L6/EYQNvhWxfa8ISzp2YXtB2Mq//oXt Q2HjYB1fJ7ZfXiDMvr3YfqkAW1rkd2L7pQLMvkkvtl9eAMx1qxfTLxVfK2uUXkwPkdDXypq+F9Mv FWCDnY16Mf1SAdZZo/Ri+qUCbOVbEdMvFWBJxy5MLwDzyO8vbB8Kw1Lb2kVsv1KAeUwuxfgrRVhn J+OlWH+lCFvaCWwp1l8pxFZeRKy/Uox56C/F+hAJlSUdE+uvFGNeyUux/uoCY15jYv2VYmxpB+VS rL9SjFlULi+MLxDrrY5XF8YPfY1LO45XYvxBIWb7tRLbD/MQhi0Hp+LhAmF2jbAS2w+KsORVxPaD Iqz3by+2h0hozEuI6QcFWNIvMf2gAGt8K2L74QJgzlUMYvpB8bW0KB4uTC8A66zthwvbh7pGr+JB bL9WgCUdE9uvFWGNfxex/VoR1tuJYhDbrxVhvX99Mf5aEeano0GMD5FQWe/fRYy/Voj1dqJYi/XX FxCzrazF+muFWGfdy1qsv1aMJR27sL5grPWtXFg/FDZ6WK7F+qNirLf+ZS3WHxVjnkdYi/VHxVjn 7SLWHy8w5jsm1h8VY61tZRTrQyRU1tlWRrH+qBjz1h/F+qNizGtsFOuPFxhzbmwU448KsaRfF8ZX iNlGLmwf6hpbO32DTp1msHGhCOusDx/D9hARwiLRV9geIkJYeDqsWYTxISOMhe9ZswjrQ0YoscYq oFDqogEBWWs9bLMI+6MdIS0SkQAARIS08FprFoEAyMie0sK/WQQEICLMWNKzCwgIzvw03iwuMCBI a+wuqVkICBDhYt/a1s5LTSMgaARrULkbBI0wfWOjYGuSdgQEjYIt65uAoFGwLbwOhOxD3wRsjXWC jbB9kBGwJQBtBAaNoG25tvNm0wgOGkXbwk5pTSM4aBRuTSJzgQPB28LrQCg/6EDwlvRNOL+xVbwl uhbSDzLh2zK9tYKDVvG28E6nFW/QKt68eYT2Q9fCty1Hr2rh/YpM6M3HNxoh/iAjcEu6JihAQI6f VGuCgvYCbd65CfmHrtGBdG3yOp1MCe1NoG052gkOgcSYEiATH+tzOsHABe+f9UwwoMT/0pNTCGRG zy6Yf98z8QQXxH8y7wj/Nyrzv0xo/E4woNT/OtOzYOCC+0/6JiQg+kaorZY+vtQIDQiZmEfXo59F hAeETGCtSUJMQgRCRrCWzFbCBBYZftZJkEmowFEjAE0WZRIcaAgg1ZvMCBoDWHtGvxE2EH2LZVva N8GBhgGWSaRJ+EC0E65tnWBUCEHIhGtrfKypEUYQMoI3v81vluINNBaw9tGmRjhBtKN48/5wKd6g V7z5eFMjrCDaIdzGdRIkXwoONB7QJDgQXnDUiMAy05vgQEMCSPyw/k2oQbQjeEv6JtwgZGQq9RO2 kINFhHpb+7hTI+wgZARuPr7TCD0ImXlwWwkMNDKw9qEnrGxiItHQQJP17QIG4t588KlZybSwVLh5 pr9ZCQw0OpDsLYQlHDU6kKFNaELIxKZ07VEgNCFEFGwWn0ITQkSwlszyg6wMND6w9jGopib4nLJB 0I6Azcd6GmEKISNg87RfMwgINESw9mGoRrhCtCO+LevbBQgEbD4Q1QhbiHY4Rse1D5I0QheOGido EoAKXwgZ2SX4WFSzljlBQwVrH/Np1oIDjRVghFi8CWWIvgnefDiqEc6wyFBxad8EBxovgAfzfRNn oAGDZaY3wYFGDJDSZtsR3hDvI3jzBIDwhhARuPmgFFYN4UMhw886UbUwh6NGDRJuQqhDiMxD2yhT goYN1ku/mhhlStC4QeMjQI3Shxo4WPq4CdLxQm0aOUhmnlFAoJGDpGtIpdVmxLl5WqtV/lBjB75r SCvVZgRrfp3TKn24VrD5SEC7EF8AGX7WXtPYFkffNHzQZH0TFGj8YOljVO1CfIEGENY+SNUqg6gR hMZHqVplEDWEsPTzVasMosYQ1j5OhWxg1ZvMpT4e1DaCA40iZHqTbMFRwwhrHxRolUHUQEKT9e0C B+LcfLCqVQZxVLwlGCWDiMGnwYTGh6taMohVRryb5wBa5gxWGVm5+YBVSwaxysjSLekbGcQqI3Op D1m1ZBBPMjFOfcyqJYNYZQRvCQ7IIFYZcW+J3kghVhnhQRIckEKsMuLfsr5N/qDKKN7clN0yefAk Emrzoau2nWYFyGhAASyZbYcUYpWZBzdSiFVG4OajVy0pxCojcMv6Ni0Rq4zAzUev2m6aFk4yojdL bbUkEauMws2rbZoVqsg8tJFFrDKKNt/MtDSoIgo2L3IBAsFaMs2TQ6zNUGfj2u8wW3KIkNFoQuMj RC05xCoTYOs9H9iSQ6wyAja/QmzJIVYZAVvWt2lOqDICNh+9antBgYYT1j6i0vbiCzSc0PjoVUsO sfYt0Nb76BUUdZ6zq4ygzUeIWnKIVUbg5qNXLTnEKiN489GrlhziSYaAW2d9E2egEYUm0TU5RLSj EYVMb+QQq4zgzUevWnKIVUbwZkNEOHsV5tGQAjabdmiTQqzNyLY0U7XAQEMKyeqVDGJtZh7ayCBW GUWb3V+1pBCrjKDNx4hwnE3VFmjrfVSlJYVY2yHYRhuVbkkgQuIinpD1THyBxhN6z2u1KwHBRTzB QoD0Ye2ZIC1Z5ZA+rDLh2XofGWjJH55kqLQh0TP5wyoj02jSNxKIVUaw5qNXLRnEKhNYG3z0qiWD WGUCawsfvWrJIFYZwVoyW5FBPMmI3rwrIIMIGY0mLHz0qiWDWGVkJs30Jq5AowmDjwy0ZBBrO4G3 rG9kEKuM4M1HLXBQNca1hhOGBKNkEGs7gbeFj161ZBCrjOAtYQDIIFYZwZuPXrVkEKuM4s37Q6Yd VhnBm49etWtZIGo4YfDRq3YtONBwwiLBARlE9E3jCX2iN1KIVSZm0iHBASnEKiN4y/omc4JGFHpL iOKQX8BNAwqDj161pBBr1wRuCRlGCrHKzIMbKcQqI3Dz0auWFGKVEbhlfbuAgcDNR686coi1HXq3 chrdTVk4rxu61oCCX1d35BDRjMYTErR15BCrjKLN90xQoOGErGeyS9BoQjLLd0xBrD2LZdvgo1cd GcQqI2DzEaKODGKVEbB5NrAjg1hlBGw+etWRQawyArakb2QQq4yAzUevOjKIJxmibfARlY4MImQ0 nLBIAEoGscrIXOqjMB1zEKuMoM1HrzoyiFVGfJuPXnXKIGo8ofchlU4ZRI0nDFnfxBloQGGR6FoZ RD2L0Cd6UwZRAwqDj151yiDqaYSFjV51SiBqQKH30atOCUQNKAyJqpVA1IBC1jXZJ2g8IdWa7BM0 njD46BVqf4Tb1XjCwkevOiUQNZ7Q+5gK6jFoO+LdLOfYKX+oZxKyril/qOGE3tNaGGHaNXFuSddk StBowsKvczqlDxEZoAPpfWSg6y5QQNc2DpmmAwWNRhPSvgUKIMOurXywp+M5ZET/9GzC4INXnRCI kBHX5oNXnRCIkJFtQjJdCYFYZKi3IXkfIRAhI1OpDxB1QiBCRqZSu4vrmINY1SZg83GBTvhDNCMz ada1CxQI2nzMohP+EO1Qazjx7l2o8IeNBhMWPj7UCX8IGUGbZwBQpoiDFDIyk/rYVSf8IWQUbnZ3 1TEHEfbR0wm9j111wh8WGSpu8LErVFbS9xG4JTgQ/hDtCNwyvQkO9HTCkOBACES0I3jL+hYrA8go 3uy6WgjEIsLP4GNXnRCIjYYTUMfKtxOkAWQSuKGeUpRSOv1Q6y/hn1NJpi9ZaaZvS2mmb/9flGZq 4dXc+04DpWnAZVtHNOkEx35uxhXiztPHD40zYFHz66bvp8cRQnQdmebI0sTasqjTOMA5pxvPSk3z YIONnmf/J6w3DdYLtl/TXNcULdrXnfDcdEh9t09xk9N0WA/b3S33NU2PeaIj1PEPpz1ua5oe+bmh 7kTh3NUgm/zGry25kUGSNmxvO0DLrJAo7l+NplnhRM4oHbUG4G6lWSGdzQOZhsI3L30/aanST/c2 3IVg/N8kMRqOnhXCIKi4xo99G+47yjf79qdFJhL9bhIGmoMG7fvVCjcUzRLjwaqGSQjNEnsIOwTj 6NIKC8Z5L03bLLFYmidCOy3hmGxnuFFo8M0ZvTC5I2g9YUjo5/CYNSF3ABUcdkgyaQAp6lghEhrJ kOSiv0C91YHvFcABNcAj2nHHNAGk4mbqpKHWqTppHDTqAxdcwOMIA8zuBhvX7A1OHa4FHT5AzCU7 ypbejKA++LFDiiv2Zg1ewSqKi/RmXVYMts90d3i1tXQg6fNkKWQz3vhkkwjlYyJsfQcmSyGP7mbw j02WwvnfmYqK9TYmKYvuWGF3OHVhZ7xYVPcgQ2fZNtbUGNI+GhLL6A5j1XdgMhTyAxJPGovlDmv/ WfaMYHuPI2Uyvj0EYqncg3HxfabR+gwpsSIeSjzZQTUWwWuEg+1Tk+trMQhtjCMi5RhEfp8XwXEM T9QYiI9vf7JT5/MOeJwGbCScfXxr8vLTIg801I1X0TSYurbsYKyOaJcldGSHRoS5O9AW7ssisI2R 4V8gYtll7raGifA1Zg4fpouI9RKkp3+DyRjtquyE7SvQo2HJ1cyyR4SlB0yK9osne7QDnLDFzEB7 oJveB0W4eSh7TYGNfbOINg/wgcMsEQ4gvJm1U4SXB5yzED+z8H2ZFnko0XzTz+sL7Ydh6oPdEU8u hyF9nzmGyqZL9nKdHVCMIMOVZpaZDIiQBNQcG52VtTljxuC5kmHDMDGooBtPfzIy3MEhYwnJj+di eLYE/GTiAhkMBoeH2SFeza+DGAsGreS3Boz+Fo/m/QYDviDGk5HOGC8Y2hufGsKjIWDmvRuNajJg XjC/xUt7e0Y1GZQeT8Z6VJDplpjvZ5kqKsgg3JPtCXnsA2FVbGmcW4pSMckkFcVhSqPIiI+PHeLg Kc77k6JfZN7z46N4UR2mK+sPUbZHWFSH6TBN+NkkKsJ0A5J65vWHrEWRweDgx4+lhrRFV5bRXj/k Kjq4cJ+ji7TNSY9rTIN2BxfVXrpyznie7hhp7cp32110VHjpSjUQDyZGVP89Op4cZg+H6ZktcFVn PfQIWPvdAUryT8+B67QTQEPSokfGawJJRkj7BrSFf3VGRRFow67AjjcSF+U1QIbx42ceZIpPr9Ri ueshQBqj9NXPvg1DnkXldsLD/QlTs2Vt6p8jYYHQbPbqDGf22F8N/jUYwuyxW0ssTdKih7dI1EfW AmkxNz5pJ2qkgNy98TuehjHJHru57LnJA5bnEmqUFVB6sJaN9xgMOPaFffGjlRxFj+lnphclYdGX xbbvA1mKHtMhEiL5SaZD0hR94Qf90CBPgbTzhAkHHTzhEn2dOYQYQUSI/sYnrzWkKorNcGkIP55e icolPabx5PU4nHqMYu+ZSFYU8/mDGDiLOakBk1MvpkgmS3IXPbY3yRAkYdFjt5J4MzIWPdZ3iRdl sK8HD5u9Oz3dUELd1P6YwIukRY9JzAfoGjIVWGil7z7ZaQkvmuiIXAVOkfq1bUOuYgmz+9TEhln+ S5hmgeJc08en4kShEBTjSSJMURxkCb7Ek+q4y+YMKRTgSpBM0mKFPOzOI5lp+yvMieqIEmfNxP0V ODC/T45aH9i9XSx3ku8mi7GCE/ADlTTGalkOKEx2wP+9zyWnsVph12W3eigOcdbwCgBPfApZDcTK sImJPvR+HmYe/grzXBJXY+79qgwYWSn6ROCo3jHA5Dj1wE/ibJh7j6S1zJTkPAaY0udwR5UOJLtn K2YyHUOpZClOJNEd8+pLXxP7kexY4+QoNpj8+ASeqMaxxvyOkwL8+IQ5VNM542S9RhEkGwGIChwj sOrzCRvmzGOeAONil6dkOUZQeHP7OjnMEQ4zcdTkOVB9PXGY5DlAUmVhVxIdIKrndpVMR7MAO6L2 s8Qh6o+dTYEtJNY83m+Q7EC8P39wmuWweQVCvbcg44FUhlJLjmhLRjfpD+xES8ArZLznIBcyAv3z rA4SYFLLomzc7HJeamMsUIZkVoekOEaJNK7ER1k7SXEM0DQINTqMS0WMtgYYQ0PJl0/jEcdPS40T /+W0Lc62gEyb9eXTRgFWxmgX0tCaTMpg4ODAPGhIGYwOyzq/tJHaF0iPTZI/pOBFYUX9ykKqXOAI U9r0NEFim5VFt6SeRQdG2Bc9bJmCjgohwIUdv1K5ogN57B16G+kbXdnR2PEbNSqaHtD3KfxRmAKb GzAsHl5kQVAaA6PbwpAsCL4QTtk/N1H8TV9o0KRh2mWJ4b6ahVFyIvhy7Iy8iyApgrfC9OR7y8HV pWxMSyYEJVnL5OC/cQrLAG5YbyZdnCY5OICMVm7JhiBNrKT42qZJhzRI5szgRj6kaTFx+umiJSEC dgurAbGRd2wkR8pdlpnXjESOMhclWCY9gjkWe2hvzUjgwHYnIXrgcaeppoHuPYMAy/DBkgDmzU6K BBMr8GFtRFoEcz+K1nljkhcBX4tFtezGverJi4ArL5kMvhdcgSwK4zFnGdCSJEGgZuYiOMo0jICC X8hFaQZkuSaUe5RjWGP/N3NZwXTqsvD1B6WiBANuwUgWvlF2AbVA5+qBLMka482ulVuSJCgJhfCN NR9JkrL+xy6GHx/fxUA/I7moOIEGkzzGwgl6rJEkwckJv/VtyZHgwtxUqxxo9fiYd5skSUZEJUav S7IkCEhl7EwUQ8CD2E1ZpTOtoy7GEw0ysQOuAGactdQkT4LRjqiAd3FkSrAYR6nQRE9cApYEX+9n SI+cVvfi4r2zY10D9LbM8XOWpKRKTpser2eSJXiwlGawBiFDAoOUGsr+Qa40ct9MigThKWyOki5O Y6lOcQkUSIzgegLMhR6tTPnAFqsMO/n414pJDPvV5awZgswIonuofyo0kB/pTA1BDnhC4rVkSepz yTqF1AhWPuDDZkGONAlWIukiiHUG8CDyOvwAISEClafbTWaAnJZVHmekRPAgPEmiUVoOc1i2qmDB AETYsDhXXFhYkBSB50HGyqz9IhkSeCy0I1EK/xJkS3BPQ3mJOZANtqTI+AEWDEmLhczM9+agxIn0 bPQyOaRujrNz+nShuNY9c8rBkCD8OpNcIEOCOwGw/3fmjIP/2PIAVNYdxml/+GQMbavcOONfd3w+ SB8H+xGQQtDGei8kekyr5CUWv36d10UZ0CVs5MNAcXIfu81CD3v10EY9fLZnseKMPo5oYOFtF1dx MB+F8MHoiXeyYyEO5kNTmPLnTIgdU0HAImR5onEav+mQaOfp8TiCD2DPhCF2vZPpSiaO13NwHh2W 0X5dGGftSxx1rvpoRLg5a2rmgmDlgxXNPMNwWVlYIs9GYFM/6aEcWOjmeFrkwU5LahgwQRQzQ9ao BZ6MYGaGjBgcnlaK8/LrFrt3Ox91JEEGkIA+EaZjNshQalR7DJADWYPs8zNrHIAfcWjMhxri0Ht5 rpsVVolD7yNCTT78EifdkROXuqTgQhYlqOS1GVzIoiTTy3yXyHB0LcodCnO2AnGoHcvaYjb52KEh DElZuc6Z87sgS8o628eEOyFLQHd6KjHOr2O1W04QRc+9hoI3wQoCfC+3sp45i/PryF3MtnadcCig tHVMe1cuHEoN6FidM7kEuw+s7f1zXJeg8n6SfhFn0qG+cgLMf2O4S0D24uyjl5ElJ9Argy1RBZ1n 1yKK41+RCSYgR8sVHrYXzDABOYoojF2cxznzpqQGJy1za1do2XmqIHuCBTKSTz02SZlgm4ethODZ 64z0Sd38eya/I38CDhZLIa+yMBySuX3CAKasaQZDicuZYCeZgnU/ogTeHsGmdCs4Mpl7vfqYf1JW ApfvlxwLn46Dvzzu98ePVz9vdq+vm+tXb8oXvGwP5YLM8/8e7j+f/tyVP9/d7g/328PpN4vTb46f T/dpPm6Odx+391fHw/7Th49XiDSKAU8PvTz/gO/e3O6ern5BgyNII6hzc/uy3z3cf/ew29UfDh/e vd1NbSyGxdva0KuLx/DT7unU3fqdd7ePm8NP555/eXy33536+LR/2p7fKx6YDsXj0Hw9J393+/7N 7378AQlGv/uHr775auhv8V9kOxZtvC8vF6fr8Yv9AW/6dn+/ffOH7dP2sNnVx+K3eP4Zf//0dDwr Diaqqns+XkGbr6+5CMIlTJgLp/oO4Dwv7Ve+5yQxLYFwl4LeCLGacUy+SETViTGZWCZgF4mpTx2W QTYKxWm3SESBk5UnJeikq0TMXH5MMHJUJKLaBEogO13RbReJqDWR6Ipjv0hEZZPRJ6XRCRQJGhC6 sr2K8/ZFJMpMYLXiXiS2LlUktOVPuzGJHUDRek2oTG1boW8vIliWTx+/NIjdTBERcPmSJrGxKSKK Lt8xMX1Zs0z9Wvm1fQR4SytCuyV5/2J8rdWEmJTVmFhfSzWtvMZi31M6phBzjXDXUy0pEPP94gao iijEbCMXtg+AJfdHR2y4hBrEeXmagRskLIe0RlOmr7A9RARhfr/GbVNtRRCWdCxsj1YEYf5INHPr ayuCMJ+3EoHl8vriwvxqJNw9JIh7HDO1E0Tsr0ojAjA7vGKjVSQUYA4tEXIuEoIvH0OL4HMVCYQl ZRTE9FqXKbk1OvZYI6jzcBTQtX0XMT22FWFIf6IngtSlFQGYz/WObVcREYD5DXBErquIaMxOLbH/ KiICMI/J2H4VkUBYcoFvbMSKiCBMV3nPx7JamlYtjGVjsJRcp+mDtBlnF+b7VxHBmD+KzdT/k0ho LOmYWF+LMSE5yXYsnD62M4oxOyZjvzaWHVBgzJ92i51bEZn0hUWYb4SJQEUiIIZtuHsVxr+hMIiI wuxmODZzRUQg5vsVSz1IzEJYbOpKI4ow68Rie1dEBGH+5CRD5fXtA2HJ/dCx5yuthL6shmPDN+KO X5kkfbdi61dEBF++vH7s/IqI4MsZPmLrRUDQ5eeViLIXEYGXD2hEkL2KUF3JxdARbi8iAq+kY7HM h4jgy9MdEYMvrQS+kluhIwRfRAJfyaXQEYEvIoIvPxlFLL6KiMbs8Iqo/IjwYyAsuXWZRxgAfL3A IbkQOkL1RSQQltwHzcMMtZXAWNYxmfHLMZfJmMlt0BHILx0LF5ZcBs1TDbVjgbHkLugI45dWpm6t VsklsxHFLyKCMV89JgL6RUQxZt1ehPaLiGDMn8KIyH4VCYz5EGbE+EsSkGDMV+uIaH8RoSVTjYn1 wUHSlskd0JEBUFoRjCUdkxkfhxjYM1+WOZICSiPsFgIiNnQTOQFFRCDmo9+RElBEZkEsMgKKiEDM x8YiIaCICMSSjgW5AxGBmD+IG+coSitEGDRml+GRJIBDWhcQc3NYHK0oErRjhrDIGygiijDbiCz2 Zl77HMcqSiMCMD9/R70JuCTIUGPZtc+8OqDKCMZ8zmXUnqgyAjJP1CFYRToQfROU+cp2UZOitiMw y/omwx/EOw269JlmUaKitkO1pdc+8/IAyJQA5OQ1smufeXlAlWHXVtn1xcLzoR0Bmw/mIwIZukbI nZ/s2mdh+kotHnZumRxOY+mK+j6Ct6xvgoO51z4L2Ye+Kd7segZJ96oDwZv30FHeor4PTYrkCDew EfPTZgRuPjKLKN6FDPGWXfsshN/ca5+F8Zt97bNQfpBRtNm1A7IB43WU6E/uVkamncoI2nxSPwJu FzKiNmsdpkjAoMr2p12TjYDy/UvPSkUhjdqOgs13TUCglH9ytTLSYFUDAraEwI/TJUUFVNqYXPuM cHC0o6x/2jdBgdL+yfXFCBJrO4I2H1SK4hxQtRL/ybXPUaijygjakvlKOUCl/pNrn1H5WN9H5tIk jKMsoJL/md6UBlT2P7n2GckO2jfxbUnflAjUixqWSYxJmUDI8LNOMEoqsFSU0rk0iTKRC6wynK5W S7/FB0TOOqgygrckzkQ2sMpwKkUGnveIcn0A3kfwlkSaeN6ltiNzaRJqIiFYZQRvPqYT1UKqjMyl id54DqbKiHtLcEBSsMoI3rK+Tf6gyoh/86pmssdJJODmk0+RQh8w0IhAcu0zqkurzDy4kRlE3zQm gPw/Oy2QGqwyAjcfdcLxQu2bwM2HnaIaSW1H4OY5/qhMUmUUbvZ1yBBWkXloI0VYZRRtvplpaVBF FGxe5AIEgrVkmmcdk9oMsZZd+9yQJISMhgaSa5+jpkmVCbAl1z43pAmrjPi2ZPFKnrDKCNh8BKoh UVhlBGw+BBXFTk4yVFxy7XNDqrDKCNgSgJIrrDKBtuT64oZnfaqMoM1He6IISpURuPk4VEO6sMoI 3nwgCkdsYmBrnCC59jmKo6AdDRUg3dGOBTKGVUbx5vdXpAyrjODNB6OQSBnvo/ECn3UUNVNqMwE3 eCz/OuINEGMIuCWq5mmh2o7ALdGATAkaMcjQxrIqtRlFm5/iSBxWGUGbD/4gEU41HWhLrn3GKbEL mVCbVTSZQ/TsImiQ9UwwoFGD5ELIqLxS2xGs+Z4JBHACnh9QZF5GZgQNGyTXPjdkD2vPAmrJtc9I pgk9lwOQU+fSvokn0MgBqu+590GPtJ3AWnbts949qrGD7NpnMohVB4I1H6CKGi0nGWJtSOp3kEGE jIYPsquVeXKpyohny/QmONAAQnbtM4vc1nYmi+LYQ3ImmAxilRHX5suvR+WWk0zozYdPo4hLlQm8 Zdc+k0GsMjKT+pTSKO1SZQRvPlTVkkGsMhwK0Jv1h1HwpcoI3nywKmq/nGREb0k7ggONJWTXPjNh EO1oNCG5iDeKw1SZ8G7Ztc+kEKuM4M1HrHAAN/yBRhR8FbCWFGJtRtybj1m1pBCrjMDNx4ZaUohV Zh7cSCFWGYGbD1u1pBCrjMAt69sFDARuPnAVZWdqO0Rbdu0zjj2HeTSg4NfVKG+lIuLdklFKDhFd 03hCYlFSiFVEwWbnHjKIVUR8m49eRdWakwy1llz7jIPoqgEBm48QtcwhrO0I2Dwb2PKkVpURsPno VUsGscoI2LK+XYBAwOajV1HsprZDtY3Jtc8tGUTI6JGB5NrnlgxilRG0+XKDSBMP+2g8IblauSWD WNsRuPm6ssiT13YEbz56FZVxajvi3Hz0KirjVBnBm7+8LarkVBnFm1+7KYOoRwiSa58xcagOBG82 ehXFc2rXBG4+ehWFdE4yxFty7TPuJ4quaUAhubBN+UONJyTXPrfMKkTX9BxBcu1zFNipMoI2f5Kv VQJRTxIk1z7jcJeqQNFmnajyh3qUILn2uVX+UMMJybXPrfKHGk5IJlJmF1atCdaSmYfphVVGwOYj A63yhxpNSK59boU/RFWMiMwn1z63zDGslxGLb/NDlDmGVUSWbT54hQPwBAG6JmDzZ6JaIRAhI64t ma6YZlj7JmDz56JQ2UP7Jq7NB4haIRBLARJ+smbCFUBEZlIfF2iZaVhfR9CWdS1mBLQjaPMxi1b4 wyLDT3LtMwqdhNo0mJBc+9wy2xDvo+cLes9OtMIflvp8tOngY1eoaqp9U7j5XQ8TDmvfBG4+dhUl hE4yorekHcGBHjJYJDgQ/rAUpuMn0xuTDmvfBG8JDph1WGUEb1nfLnCgeLP+nWmHtRlqbUyufW6F QJx77XMrBGJ+7XOctGiFQISMwM3HrnC7XsBNDxskV1LjKLfKCNx87Kpl9iH0pucNBh8aQE0lbUe8 m00lbJl+WJsh2FBn3k8KzD+sMoo2iwKhEPE2CjYvErsEiAjW/KUhqGGhChCwJSenhEHEFdoyk/r4 UNQzggb03EHn2cAobVRlBGw+dhVVjqqM+LasbwICPXzQ+8BA1D6q7dDtjoOPp0QZpCojYPMA7YRB hN4CbV1SsUUYRMgI2nzsKuok1b4J3HzsKuokVRnBmx8JUSfpJEPADUnfmIMIGY0n4Cc3FqJ6UpWJ lVumN543rjKCNx+76piDWGUEb9YZRE2lKhK+rfP1L3FZYAxTPYgwJBBlDmJtR+CWdE28gcYTMq0J fwjrKNrsLB+1lmrXBG0+QoSCVqqCQBvuHLMoEAKxFITmx6bWRzUm9OwimpD1LKJKkBGseVYrqjTV dgRr/l0EAnoaIbtcW8hD9Eyg5onNqONUexaebeVvN4s6TlVGoJZ4AqEP0TfxbJaXwPnEgIAeSVj5 ++IxIlWGUMPEl7QjE4IeSsgmK6EP8TpE2rjyoatO6MNSKXnqXN43gYGGEvxuOUo+wTp6MGGVVBtj /mGVoV9D13yJGGEP0Y6gzUeuovpTbUfQ5iNXUQiqyhBtqdqEPUTfBG2emeiEPYRMeLaVj1yhvlHA DXUbJ8XlepM9gp5N6HzkqpP8Q/RN4ObPWXXCHpYrOabO5XqTGQG1xak4XDJrPZXkH6Kd8G0oNORl ZJMgZxNSvQl9iHYUb74Z8QYQod5WPs7RCX2IZubBTfIPIUOtrVK1CQxwUzI7t/KEW9SdwlAoF/Od P7naZJuAQqi0KS5I9Xq7gAHVNq78matO+EMU3JoHNyEQIcOu/b3ekppTU9WlqfbUb1Zf+var5var b7/CJSLlnf8ziy+hkpldpk6gR3kxVHFz2p9mPRzgQcmwqKnnrz+bUI7jLje4rZIf28Q04ZUm/Kww +TbcS5SUe5tgXCqV+1X9NI3h2Ety9ccE1XJXkc+snsBZbp4Y7Gowjkyh9G5y3yaNgmroFzXorPfi BgX1bW9Q4zc+VuHMcECN2Rsf7+CWBHVuk3Jx3IXgKr+kpmMcfsLdOd0Y3fTLNG48GlRp9dEs7jWQ DZzdPUpLlX5avE+UM8Z/dn8EDVXuNpDrsf3bcA9Rvtm3z+GDXvqlJTMNyh1UCbXNUVMqktpFZ5xJ wmUnnnyJ8kO4PQZl7eJjocZNAK4Qn6sn2gnVDH1nmDRQvtmHvLnSL1r3FwVzdV8es2/D9XwFhx2S zAAoxlnKpRoeHFzBF6gjfB4fv+Slr6s3hTlAM+Rf7g1I1ElvV8rDW6RwaY5EYEz5rlGuxlHcNqk/ yvB9uQ5gLYDyxA+j98gnxeUjAUFPRnD53ZRieb7PnIdQ39lnuHCRXV5tLR1I+jxZCnfH4ZICq7Rp Wqq3HVm7x0oa86W/gjpC7yhSPk9RsXbGJGXRzfo9yFq58dfExAK5XDo0y7YRX8eQ9vucWBOX6sl2 yo1lcJm+rNkjcF5uCJ9lz4ib43Jv3PDIj4dAxM1RCtjXv41QeZ8hJVa3uDHHQzUWtLha1+opYuCl 5pUDZ0S9MYj8fj8C3RieUoIZB03sN09zFIr/22emEdRhZY4acfGxw4RxbZBK/iJ5RrJBCyb+LILX uL7W7yQjXo1q0hZxEaHGyPDWi1MtZe62holANGYOvwGPsyu4mshnZEa4Gbc2+2h+RJix5MJhr/hY e0SAGXXF7WGzCCmjMLzHTESR0U3vgyJwPGD3onC0xolzJ7ghAbe8xseLTHskJAX4ARSBYtwAMoif WfgvnmaktpQ/mNeXaTAhKovq7W48xdGSUo7HYovRYIRosAAXXVgzMxhcqmgnlpkWeYguQM2x3PFX fjD8i/LmybBhxBd0R3IfH4O8HRwylpD8+LOtjPF22Jx5F8iwbqk3jlKo/PjsLYZ1Oyx5rRNkILd4 NO83GLzFzQXJSOeRDxTbT26kYYy2XARirY6hdaYeOwxIJAHz4+0ZpWE6uCQ/1nHtwvTduGhqnqmi HEy5i2Rpx0GUgEGAFFsaN16i7EsySeEaxqmjaBS57fGxQzzqvBT9omgkPz6ztGGMtSvrD1G2RxhY k6lvmCb8bIKb0qbnBhw0mdcfnszoIIPBwY8fS7gibmqnLKO9fshVdHDhPvaOo4T8PkyDdgeHizCm 51C/CTe68pPojtRFh5tCvFONWi0ICyauJwq0FH3N1fFkvx4O0zNb4KrO79cjidrvDnAPwfQc0jXs BICbz6bHcHIzgSSDnX2JdfpxRN4CyZ/JrU1RWKW8Rqn6P30674PIYvS4YdZXE8UlY9M7lYi+hx65 i6LypNmwDNam/jkSFkgXzl6djAWK8ye3UUdFlHKbV2JpkhY9vEWiPrIWOBiEexmsKyRVAXL3xu94 osJJj91c9hzNUSgibw5WMunLVaXJc7RHYV+86ydH0WP6melFSVj0ZbHt+0CWAochYRs6mTGZDklT 9IUf9EOIkcFyQZg/Mwg6eII5+jpzCLEaCdLGb3xYCvcIT98Nm41ys5CnV8A1UwYXblt4kbfocX1p VjGDjq7cterNTLqih7PtxRSJwyd30WN74++ib0hY9NitJNUwyFj0WN8lXpSURQ8eNnv3aaGBTQHY 31nwImnRYxLzSaMNmQqsidN3n4bZsmTe+AmXXMUSARK7to3iH0uY3Qcdo+DHEqbB3dz8+OMhYGHP yEMZ2CTChPjF9Bz4Ek+qN8zMRynxBMnMxl/hbLC/8xCM77nZVUnekCVJ4qzJW6zAgSVrZxIX2L1d LHeS7yaLsYIT8AOVNMZqWQ7N0xBJcktU6ljh/i9P3UV1jhUAnvgUshqIlWETE33w97k1pDhWmOeS kg3kOFZlwIhZ/OHUqMIxwOQ4vsBP4mxIeeAgVWZKch4DTOmzM6LaxoCr05IVM5mOodyNIE4k0R0r bJS+JvYj2bFGlSFsMPnxh0qirEa5inzejewNs+LLjew+IxOXyJ2H2Ais+rOBDQkPzBNgXOwkRZZj BIU3t6+TwxzhMJN1AHmOEfeVeodJngMkVRZ2JdEBonpuV8l0YH9cCtrRfMlwIe1xupXb+w2SHYj3 Y3GUPDgZDZtXINQSyFHxAqkMpYL5rO5Oq5HTZeXivvwKnlzICPTPszpIgDPyQHdgeNt5Ejk0fBBF EeEf+bEdQjhpkimRxlmXQkaZC+ztsMiwa9iWtS2wYQL7N0erLWtboAJnqbvpBlBLqgR1KlF9WN7W xp1wt/b0trjZcuZl36RKUKiyEPxUqkdyFLTALbnZ8i+qWGAvhi2YBSjieex5ySXxICArArXkTU9L GmyzsuhWVKZAJUhsc5Kmp+0CShICF3ZYtmRDcDkxlkl25d1G+kZXdjSJejgW+1oS1aKGJSawuQHD 4uFFFqReTO27SBYEXwinbBsmDYKrs+GKkoZplyWG+6zbDVtyIvhy7Iy8iVgqAm+F6cn3lo4TJSET NiZqQgDAZXLw30gLFVMmXozlH+AAMlq5JRuCNLFy7NQ2TToEBXrx0t5GkcKBA9TJdBFFHeABsRqQ 4IP3PSRHQJyB4E66y2FU5qKsRAKNtMB6LqnJEwkc2O4kRA887uRlMDITBiGqM4A1LcmRVvekSDCx Ah/+Ofo3cOA3Pi0zai+gZSyqZTfuVU9eBFx5yWTwvZi2b+gEVqezfD1JknJn3bxFcBRcGAEFv5CL IgtIc00o95bEyBr7v5nLCrIkZeGbFO9gSscI1+IXvlFBAVdSzNUDWZI1xptdK+NO2jMsUaYY4Rtr PpIkZf2PXQw/PooYlRKKihNoMMljLJygxxpJkhGJFUlXp5FWbnzLtDot+REfw0Dznp0kSb1VwuuS GR0ISGXsTMukDjyI3ZRVOqmRuhhPNEhupN5GjPuO4+O/PHwhSJ3ExZEpwWIch0QSPXEJWBJ8vRcm PXJa3YuL986OVAl8U5nj4wU9XkiVnDY9Xs8kS/BguWXI6oxZHzBIqcTnH5yG1b/hm0mRIDyFzVHS RVqrTHEJFEiMIJCFudCjlSkfiEqVYScf/1rT0DpdXT5rhiAzgugezr0IDeQtx9QQ5IAnJF7UEajP JesUUiNY+YAPmwU50iRYiaSLIFYMwIPI6/ADhIQIVJ5uN8mInJZVHmekRPAgPEmiUVoOc1i2quDZ f2xywO4pLiwsSIrA8yBjZdZ+kQwJriRHOxKl8C9BtgSb3vIScyAbbEmR8QMsGBJU6Jj73hyUOF2e jV4mh2DZidWvn7uYHoLdLVJvvCdigkiJHc0kF8iQoLY/9v/OnDimMC1VS/DSu8M4uo9OYGhb5cZ5 /brj80H6OKSPtS+CNtZ7IdFj6uMSi1+/zovj+MhNQYTVqj7O4GO3Wehhrx5Ocz18tqcquqA3lpg4 PZcWR+ybZWH0xDvZsRBH7KEprNzmTIhxxB4sQpYn2gXT0SHRztPjcZgewJ4JQ+x6J9OV9B+vZyaD gBxBqCNRBTdrZSzMVB+NCDdnTR2HV1CJae43c1lZWCLPRmBTP+mhHFjo5njaOB4/woAJokiJrOuF Y/YFmRkyYnB4WikOv+MqgiRI15EEGeDnfCJMHHIfkDzpUxw7ZoOsQfb5mRUM31mXIw6N+VBDHGEv z3WzwipxhB33yCFGbXUZXMgC64XEJQUXsihBpeQbuYpclGR6me8SGY6uBXKoZrHOmJOIRGxydSr2 g44n1LHWx9w3Z87vgiwp62wfE45z6eCfQJb4qSpOvCCKhPyeWBF4DQVvghUE+F5uZf0WMA6jI3cx 29rFCfS659Ax7VUpHEoN6FiEMbkEuw+s7f1zYc81hrVl5ZCrS8NjsZf4eaaUIPcLzOms2YbMSY0i YIUeH99zOk8M/eQoBo6sTD2Hz8m8LDNMwMUjCmMX5x0JE9wyhfnfdpGMSaVl56mC7AkWyEg+9dhk jgmYTGwlBM8ePqRP6ubfM/lxJBxGxFLIv+HkTLGpAHHj4cMDMRUV88BOMgXrfkQJvD2CTelWcGSy KPqV+pID39NB75fH/f748ernze71dXP96k159ZftoVwVf/7fw/3n058X5c93t/vD/fZw+k17+s3x c/n9z2+2n5+3d8ft/dX7zW4XOjz9+eX5B3zr5nb3VP77st893H/3sNvVHw4f3r3dnb/zu++K16k9 uXjs1Um0dK9+093t4+bw07mnXx7f7XenPj3tn7bn94gHpuPtv3ms/RucaO9uvyr/q2vg/4CD7Se9 PB+voLzX19OARKxUr6dPip9NvHSViGIQg1+HTBHVKjGVNMAE/etlfQKJSUkTNH5TWeX4P5RV/vef q6yyewsMPR8LxCaFTurBLVP2mUkhiAD86plEBdOrJ6Pi/vt3u5c6PD7uf/l++2H7dP/ftl8uRsgL /vLXzRmP51FTfvd2c/zvm8ft3z374/bwm7//YXu42z4d/+75bz+9e7fb/vjwN/0qvBW7tvn8L/cn KSTZDcgPW58Aefl7lJfvzyPl5W5zPG4Pbz9uDlXRcAff1EF9KRHfBIHdw9OHkz94QCc3x4f906nN x4enP24+n1p83JydB3C5PP/q4fwccgzqr8qQjq+73+62R32xu9vN5x/2L6fvfnf6DkDzu8fj1fv9 4XFzfLu/376+/sP2aXvY7K6vXvafoLbvH55+2t6ffVrxFf9zf/jzw91Pf4TTOH3V/tORHfr13x6e Tn86QgL2ZvNP28/HP+/Pf/t8cmjv9vdffjhcHfbHMtKvft4e8I+P+8PfymNwWi/HH49fdtv6w3P5 zdkR3m/f/wlyL39DJ4H166t3Vf6h/vfT6+vqyK5ejoeHn/B6T/sf67/w2OZlC93jd8WvXPhI/KCu 9LR8K92A87zwuDuY6+nq+OV5+35zh2/65vAA1dUubje//fu7l9/6Pb749B61jfObYUj8sDlsytvt Nk8fXl9vn77+y4/nfkAFMPixKu/u9u6wf3n55oyRAtYJlOc/bc9233w67v/H9nBWfZX6dnv8Zbsl 5u4xukoTZ1v/5enhPHAmjBHT/McluKNlQeP+kIF7QjIOEta3+3cAuWr77vb/ByD/nQ1imNc//QfY oBBnBYZYJZw8C/71vNsfvzlsN8Vku+pH418ccIeTSXebLxiuJ+M+fdrsvufPn/+I0X8a0Nv7D3Xm v7v98lu/nFYxJZ10iXjaAmFQnKxfgHqusDn78HLsagQLuFwhGosH+vafvz6vc345tYNMGOQOY2rF dhB3mw+4s+70DR+nv6N6+mrAFcSLAUQHsmirPF75caOdxy/ivfbwG/jp/A1nZYVairL++vDyr0+7 8yPnJu8fXp6/xSD76eWb80j5sHk+9abMOL8vk9W/4qvhkC+/+m5y9aeRuLk9ubHqAma7rOrfftOV XD0/HO8+frd5fNh9eX2NLISr0uDLtvrI2shv+JN/S+j/1tnAeW8PT5vd7zfHzdXh9gHTw+Ff7k+L ieJg/vJ8v7mYemAhlakAror78Rlu883/FgAAAP//AwBQSwECLQAUAAYACAAAACEAwu6vLhYBAACh AgAAEwAAAAAAAAAAAAAAAAAAAAAAW0NvbnRlbnRfVHlwZXNdLnhtbFBLAQItABQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAAAAAAAAAAAAAAEcBAABfcmVscy8ucmVsc1BLAQItABQABgAIAAAAIQDh UTcfzwYAAOYbAAAaAAAAAAAAAAAAAAAAADECAABjbGlwYm9hcmQvdGhlbWUvdGhlbWUxLnhtbFBL AQItABQABgAIAAAAIQDPNKQXggEAAEQEAAAfAAAAAAAAAAAAAAAAADgJAABjbGlwYm9hcmQvZHJh d2luZ3MvZHJhd2luZzEueG1sUEsBAi0AFAAGAAgAAAAhAGcD7obOAAAArAEAACoAAAAAAAAAAAAA AAAA9woAAGNsaXBib2FyZC9kcmF3aW5ncy9fcmVscy9kcmF3aW5nMS54bWwucmVsc1BLAQItABQA BgAIAAAAIQCjFQCh9gAAAG0BAAAmAAAAAAAAAAAAAAAAAA0MAABjbGlwYm9hcmQvY2hhcnRzL19y ZWxzL2NoYXJ0MS54bWwucmVsc1BLAQItABQABgAIAAAAIQBZAiHFNTkAACogAQAbAAAAAAAAAAAA AAAAAEcNAABjbGlwYm9hcmQvY2hhcnRzL2NoYXJ0MS54bWxQSwUGAAAAAAcABwAEAgAAtUYAAAAA "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image003.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;a href="http://2.bp.blogspot.com/-pDeVKdV15nU/UUi5rp4CbeI/AAAAAAAAEx8/p3P4FfaAta8/s1600/image002.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://2.bp.blogspot.com/-pDeVKdV15nU/UUi5rp4CbeI/AAAAAAAAEx8/p3P4FfaAta8/s320/image002.gif" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 2. The original S&amp;amp;P 500 curve (black line) and that shifted forward to match the 2009 trough (blue line). Red line – expected fall in the S&amp;amp;P 500: from 1400 in March to 1300 in May. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 3 shows the evolution of the S&amp;amp;P 500 monthly closing price between May and August 2012. The S&amp;amp;P 500 closing level for August was 1430 and reached 1469 in the middle of September. This level provided a ten percent return over approximately 4 months. One can see that the observed level was far above the expected level (blue line). The return and the deviation from the expected level both made us think that this was the best time to exit. We sold the index on September 21 (1460) anticipating strong turbulence (economic, financial, and political) and an overall fall to 1375 at a few month horizon.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;a href="http://2.bp.blogspot.com/-RsqCivRHefg/UUi5rmTFchI/AAAAAAAAEyA/j3FnbJTeMhI/s1600/image006.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://2.bp.blogspot.com/-RsqCivRHefg/UUi5rmTFchI/AAAAAAAAEyA/j3FnbJTeMhI/s320/image006.gif" width="320" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;span style="mso-spacerun: yes;"&gt;&lt;/span&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 3. Same as in Figure 2 with an extension between May and August. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 4 shows the evolution of the S&amp;amp;P 500 monthly closing price in September-November 2012. The October’s closing level was 1411. On October 26, we put the November’s level down to 1375. One can see that the red line intersects the blue curve. The previous history of the black and red lines intersection with the blue one made us think that the time to enter the market (S&amp;amp;P 500 index) was approaching. We expected to buy at 1350 to 1375. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%; mso-ansi-language: EN-GB; mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shape id="_x0000_i1027" type="#_x0000_t75"  style='width:434.5pt;height:287pt;visibility:visible' o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQDhUTcfzwYAAOYbAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPx P4x8b7PfzUbdVNnNbgNt2ijZFvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8C b2ZsryfrkLSNoILmkLWff/O+35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE 9Lw5kd6V9fffu4zXfEbTCcciGEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FA zFYatVpnJcY08daBo9KMhgz+JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44Zjc Ux5iWCr40PNq5s9bWb+8gteyQUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6 wc8AsO+DpVaXMs/WaLXez3mWQPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgD svj2Er7V3xgMOg7egCy+s4QfXep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1i yhN1Uq7F+C4XIwBoIMOKJkjNUzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599 //LZE3R0/+nR/Z+OHjw4uv+jZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8 FuY9//Lxb08fP//q09+/e1gB3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ng P1SRg74xxyyLjqNHn7gevC2gfVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJW xu1ifFAle4ATJ77DWQp9M09Lx/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6 ZEwnTjYtBm3RGOIyr7IZ4u34Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWS e3Phl3FDqSDSIWEcDQMiZdWYmwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy 9gO5DymK0Q5XVfBt7laIfoc44OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD 59eOoQE+//pRRWa9rY14A+akqkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5U z2dttIveCm1XrxvsotgskeMTV8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4 +oiqaC/CKSyw655mEsqMdShRyiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYz F9TUDM4qrHkpYwpmv46wulbqzNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc7 9+ZhMVE4zxDJCAcki5G2ezlGdROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn 8CJKum6PlSNLysXJEnTY87rtRttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2C OhxTWL8vGez0gVRItYllZFPDfMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5R tO/sa9ZK+UwRsRcFh2jCZmIXQ/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12i eSVbuKnjQgfzVlIPbKvU3Rj36qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qP BCwcTO+AbIGzWPgMSQUnyOZXkAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2Qy qqSuTK3aE3JA2Fj3wI6e2z0UQaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82 C5rc/4WKFbOqHW+G53Nv2RD9YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDe g/Q/mP+o8Jm9bdAT6pjvQm9FcNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3k HnO21uws8X5FZxeLM1ecU4vn6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET 3B15QGtoWkPT4AkuhGCxZG9xel72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekf D+W3GbCCy24/8qbqXM2t/wUAAP//AwBQSwMEFAAGAAgAAAAhAIr5rSV3AQAAGQQAAB8AAABjbGlw Ym9hcmQvZHJhd2luZ3MvZHJhd2luZzEueG1spFPLTsMwELwj8Q+W7zQpIQVFTXtoKeIClYAPWDnO QyR2ZLsh/XvWqVFMQQK1F8tee2dndtbzZd/UpONKV1KkdDoJKeGCyawSRUrfXjdXd5RoAyKDWgqe 0j3XdLm4vJhDUihoy4oRRBA6gZSWxrRJEGhW8gb0RLZc4F0uVQMGj6oIMgUfiNzUwXUYzoIGKkEX I9QaDJCdqk6AqiV759kKRAcaIWuW+BHHsWbnI0MiugfVvrRbZZmzp26rSJWlFDsnoMEW0cBduGd4 DI6yihGgz1Vj38s8J/2AsrfrgMF7QxgG4ziMb2IswPAumkVxdBu7KuXzL3msvP8jEwkdCuPGI+Ms 3SgUYklZqYPJQ+RY8exL8aoEZUjkCfeTRv1+1MK7ct72jAlglgRaz5Jh5yw/xfEDkgNQ/xkZNK9i fC3ZruHCHIZb8RoM/ipdVq2mRCV2SNRjNrVtGto+tMMq9s+2GefMxHdnx45jjaNP4Vf9weITAAD/ /wMAUEsDBBQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAY2xpcGJvYXJkL2RyYXdpbmdzL19yZWxz L2RyYXdpbmcxLnhtbC5yZWxzrJDNasMwDIDvg72D0X1W0sMYo04vpdDr6B5AOMoPTWxjqWV9+5kW xgKFXnqRkIQ+fWi9+Zknc+YsYwwOaluB4eBjO4bewfdh9/YBRpRCS1MM7ODCApvm9WX9xRNpWZJh TGIKJYiDQTV9IoofeCaxMXEoky7mmbSUucdE/kg946qq3jH/Z0CzYJp96yDv2xWYwyWVy4/ZsetG z9voTzMHvXMCtXhxAVLuWR1Ye+vcYm2LK+B9jfqZGn6grAuNa0fwmv48cPHj5hcAAP//AwBQSwME FAAGAAgAAAAhAGEUZVT2AAAAbQEAACYAAABjbGlwYm9hcmQvY2hhcnRzL19yZWxzL2NoYXJ0MS54 bWwucmVsc4TQTUvEMBAG4LvgfwgDHt1kFxRZmi6CK/Qgirveesmm0zY2XyRT6f57cxFcEDwOwzzv 8Fa7xVn2hSmb4CWsVwIYeh064wcJH8fn2wdgmZTvlA0eJZwxw66+vqre0SoqR3k0MbOi+CxhJIpb zrMe0am8ChF92fQhOUVlTAOPSk9qQL4R4p6n3wbUFyZrOgmp6dbAjudYkv+3Q98bjU9Bzw49/RHB g8XX0ydqKqhKA5KE3lgsL/Nm2+518MEZndsD4lQaeLRxVO3h7U6IFheNtnUqTUg3G9HPNCdcLTYv P9ZL6Mqb+4UweWWB1xW/KKn+BgAA//8DAFBLAwQUAAYACAAAACEAnpBYau05AACyIgEAGwAAAGNs aXBib2FyZC9jaGFydHMvY2hhcnQxLnhtbMx9XZMbOZLk+5ndf6gta7N56hLzO7NspDW1Znts7bp3 ZaOeebg3qoqSeM0i61iUWppffw4kEeFUy2Nzd2/Pjg/6qMogIgFHIOARCPzxHz8/7K4+bY5P28P+ +XV1s7q+2uzvDvfb/fvn13/95cfvx+urp9N6f7/eHfab59dfNk/X//jiv/+3P97d3n1YH09vHtd3 myt8yf7p9u759YfT6fH22bOnuw+bh/XTzeFxs8fv3h2OD+sT/nt8/+z+uP4NX/6we1avVv2z/CXX 5y9Y/we+4GG93Rf54xL5w7t327vNnw53Hx82+9OsxXGzW5/QA08fto9P1y/wcvfr06aaVu3Vp/Xu +fXq+ln64W69fz//YLP//s8/zD88Hj7u7zf3rw7HPbqRnn+4u325O22Oe3zVq8P+hNbO7/mwqKce 1sdfPz5+f3d4eIRyb7e77elLVhcK4rtffTjgPa7+svnfH7fHzdPz67uqLR2Bf/6uKx62d8fD0+Hd 6Qbf+GzuhTIa6WuHZ+Oz+jweeNmqvX06fdlt5heqVnV622fWblbhx/Vu93Z992vqG3rYHvXfJ8Gv OyNJ5eFP/1h/PB1+2Z52mz9tdpvT5p768e72cXc4vTxu1unB3frL4eMp/ethvf+43v1k/59/88v6 +H5zmsW3ewzJPEqffz7cn99lc/9+M//wy7d++Pnc9E1VD21fT/3YVc2qGsfpLDT/vr4ZmmochqGe 6m7o27b6p+/zi9/d/la+YayarqtX+H01TX1XzV/wofx6quqq6rsGj1VTN43598++fjH8wN/56W59 AqRepamX+uD8/zc+Uk8Ph8Ppw8/ATnn1T+vjl1eH3eECnBDdHNM3bO/PL3xW/nC83xxnDc/6nj6n 5z69OBy377f79e7qtH3YXEF8u3n6I7T7BFzc3c5PPT2+xreub3f7q9+eX9djN3RA6/r26bDb3v+4 3e3yf5J12LzanZs5fZ5f/OKpZ+k78hfPX5l6Jb1SfukvD28PsFppZu5hlVK35m4rD3z+2xoN3d3u Pz78ZfMu/evdiz+8ed2tVn/4h+9eflfd4o+mb5JQ/i2ee7WGUvnJbKteAS0v/rwBfNa7/Jj/FN/2 eHqFSX8GGb5oHtfH0xU6MxmL9D2fXlTTWCfZuX8e83iVZyp65mY1NuVTj0qiZomq90+nJBqWqOVj LT9W9MDfda++OA1pecGblnSRbfQXEpN/pMTAEh11kNRqZAnvnr6v1HtMLDG0rlVGxjeHjcf2xrVq ai1yMdQT9ZYWuRhrV2ua5KtUNNgNA6qa1NtjtbBhbG5Ir05isKKRb25q77FRt0JD39wQvKpBKkZj 3zC+AsVo8CHiXTZKuFQ0+s0NIaxqlWI1jX5zQxDrtAiNfnNDGBu1CI1+wxirpDWpL0afMBYodjH6 3mGBzapp9NsLjMkOo8FvGWKtxEtNg99eQEw2QmPfMsJWEsc1jX3LCNN6NTT2EPEOGySOGxr7lhG2 klavobFvGWGtFqGxbxlhgxahsW8ZYYFiF2NPCAsUuxh877BpkIavocHvGGErafgaGv3uAmIKLw0N fscIkwPZ0th3hLB6kghraey7C4QptVoaekh4f/W6ERr6jgAGn1W2QkPfMcAaOSgtDX3HAOt1KzT0 HQEsUuxi6AlggWIXQ+8dNvXStrY09j0BrJ6kSEeD3zPAGolJOPq2svaMsE6avY5Gv7+AmDT6HY1+ zxALFKPRh4h3WaAYjX7PGNNLfkej3zPGAo+SRr9njHVyUnY0+j1jbJR2r7sYfcKYVqy/GH3vsKmT rfQ0+gNjbJRTrKfRHxhjtRx9bDoMY8MFxrQIjf7AGJMGpqfBHxhiug0ae0h4h+nuoqEfGGCDVouG fmCAVboVGvrhAmDKUg408gPja5Bmb7gYecKX1mu4GHnvrkmvqwON/Mj4ChSjkR8ZX5W0YXnfft7k jYyvVqJ4oLEfGV96wR9o8EcGWKVbocGHiHdZq9+FBn9kiPXSHo80+iNDTDuVoG9sRo4MsUa3QqM/ MsZ6afbGi9EnjAWKXYy+d9jUSCSPNPEnxpheWkca/Ykxpn23kUZ/Yow1cjUeafQnxlgvTRJ4OxuX iTG2kq1MNPoQ8S5rZCsTjf50gTFlYCYa/Ikg1k0SLxMN/nQBMdkIjf3ECNN76eli7B1hkV4XY+/d NdUSx5OP/bRihOmFdfKxh4gTFt0kzf7kYw8RIiw0HVatfPAh44xFrTWrVj76kHFKLFAtMeoFl0nG ey3gklYOAMg4aVF30vhVK4cAZJy10D5ftXIIQIRYCwn/auUQgIgzY3Url/FqdYEBRpqCc7W6wID3 2VQFzRAIEOAy3epW2r+qIhBUjDXtxFUVgaBisFVBOwSCisEW6UYgqBhskW4EAsh4x2m2qyK2b6oY bK00nAhnOKgrBtuoAVoRDCpG20oawqoiHFQXcNMQJcYP70NwC3Qjyi/J+CfQrSYc1Iw37QhUNeGg Zrxpp64i1m+qGW8raXWrmnBQM94aaUMr4v3QDhm3SDfCAWSo34J2CAc1401TAFVNOKgZb4PGAbF/ eB+ybistQ/QfZMyERLw/0X8QIbjp0SH6L4n4R9rDhmwB8/61DiRVDWGAif+u12PT0IpwwfxrzQgB TPzXerNdEf83MfMfakYIYOp/1F5BRRQg2qFlNNCNSEDI0DKq40sVsYCQcaSNk9zeVMQDQoaQFrgF 7QUKCGpzjPObkaz2AgUOtTEIMhEVOHEEoI6iTIQDjgF02gOtWrIEHARADF7irSUccBigDgJNRAfi fciyBboRH5hkrOPGINREhCBkCG/B6kuMIGQIb4GrR5QgZAhvOtpUdYQDDgbUOtxUdWQNWjZtOt5U ESsI3azbpjEIkneEA44H1NqZIFpw4nhAp0M7FfGCkPFdwjhouBExCBnaJeh9eEXMIGQIboFuRA0m Ges3ZJ7IqUDcIGQIbjq+U/UEAw4MdJqIQuqKO3scGRh16Am7NpYh8xbpdgEDMm+RbmQOOoabJqOq njYKF9EBTWFURBNOHB4IZgLRhBBhuMkRJZoQIo42pJhoGVoUOD4QaUYg4PjAqGNQFRGFUM3BVukg VEVMIWTItgWeHlGFkCHbpsNQ1UAg4BhBqNsFCAhsgW7EFkI3m6PTqOmyiujCicMElQ5FVSPtEjhO 0OmQT0WEIdohtAX7/5FwwJGCatIeMlGGaIeMW6QbGQOOFoyRbmQMOF5QBb4BsYbQjfAW+HtEG0KG 8KZDUsgXdePGMYNKx6QqIg7RDuEt0I2owyRjnzGY28QdThw2AECkCZkIBxw36HRcComM3gccOBg7 jZ2JcMCRg4DUYf6QIwdRK2QNOHIQDQ4ZA44cwLKoTkMmLXcAgU1HgWrmDzl2oFVDVik34wspjKtW jZaEkbEWqXaBAYPaNOrFt2b+kMMHoW6EAY4fdDpGVTOByAGEUQepamYQOYJQacegXhEMOISAxGDZ 18wgcgxh1HEqZAP7mHIQAZ6JbodwcBFG0I5oTdmCE8cRRs1Q1ZQuCBnCm45V1cwgToy3SLcLHBDe dLQKW7xzv2HycTABXq3ut2INsgxFE7Szh20ut0NrqQ5Y1cYg5nbIddMRq9oYxCxDa6kOWdXGIM4y 1nGjjlnVxiBmGfLdtAkxAjGLuHXDzkR2tRGIWYaW0jqQKTDIMgQ3vfzWljuYZXwpDXW7gIH1GtIg 5f6qNgIR7XBAAfti2QdGIGYZh1uraaraGMQsQ3DT0avaKMQsQ3DrtKkyEjHLONxC3cqyMMtYx42a pqqNRMwyBDdNadQN4YADCnrLXBuLmJthuOnRIRRwOKHS0avaSMTcDKNNNmMc4izinaYdndo4RMhw NKHSEaLaOMQsQ2DTvl5tHGKWIbDp6FVtHGKWIbBFuhX/MMsQ2CLdCAQcTRg1f1Ybh5jbIbDp6BVi lW7fOZrQ6ggROoplCG06QlQbh5h1I+PWSh8ZEV5uh+AW6GYcYm7H4DaNkW7FR4QMRxRAmktcG4eY ZQhvgS9qHGKWIbzp6FVtHGKWIbzp6BXOXnm/cUyhjXQjHFzEFIL110jErBvhLVh/jUTMMrSY6uhV bSRilmG8aewYiZhlCG96TTAOMYsQ3PSyaBTiLGJw01slIxAhwfEEhPUk1oxAzDKENR29qnvCwEU8 QbdCCOBoQqV35bXRh1kzsmyBZkYfzjLWZ0PgFhh/mGUIaYFuRiBmGUKajl7VlmiYZRxpg45e4cSk zzaOJiBYLfvaGMTcDkFNR69qYxBnGeo3GRqojUGEDEcTKh29qo1BzDKENh0hqgdaETicMGiGqjYG MbdDlk1Hr2pjELMM4S3QzRjEWcb7TUevamMQswzhLVh9jUHMMoS3wNUzBjHLEN509Kq2rMMsQ5ZN R69qSzvMMoQ3zZ7VxiDOMtRv2uoagwgZDicEhIYRiFmE4Ba4u0YgZhlfSAcdvcKRZZ+mF/GEYPE1 AjG3Q3CLdCNzwAEFHJuW5sAIxNwOwU1HiHCuhN+H4BaQVMYg5nYIbjp6hQM/3A7BbaXNm+Ug5nYI blq3xjjEWcbhpkkqHFF33S4CCprQaIxERDscUNA+cmMpiFmE4aZGtLEMxCzixm2lo1eNUYhZhtGm myEQcDRh0NGrxhjE3IyDbaWjV40xiFmGwKYjRI0xiFmGwKajV40xiFnGwRbpZgxiliGwBbpVZAw4 moCiBrKvjUFEOxxNWOnoVWMMYpYh46YjRI0xiFmG0KYjRI3lIGYZhpu01Q0ziBxOaCPdyBhwPGGI dCPfgAMKK+0bNMwg8lmEVvt7DTOIHFAYNH3WMIPIpxFWOgqB/Dc3OhxRCHWjRQEy9hn0+tswhcgR hZXOHkEBA9eNIwqtjl41TCFyRGHQcaXGchCBN44oaJK7YQaRAwp6/98wgcjxBL1aNcwfcjhhpaNX KPvAnUbGTYeIMMNYhoybpEMby0HMfUa2Te/KG6YPOZrQRqpdYMCgNg3B4kv8YcXRhFWkm9sCyJBt k9uRhvhDiJBp08GrhghEyJBpC/wCIhAhQyupDl41RCAmGeu3QQevGiIQIUNLqQ5eNUQgQobQFswd S0JE1JQPJwyaoGpahwFkCG46eNUQgQgZWkoj3S5gYN2GI+8yotIQgVhxNGEVLL9EIEKG4Bb4ekQg QobwpoNXDRGIkCG86eBVY0mIGB8+ntBq8qwhAjHJWMcNmjxDZSWzOpBhvEmvhfhDiDjcGh28aog/ hAwZNx28aiwJMXcBwS1YfYk/RDsOt0g34g+TjH0GHbxqiD+sOJ6w0sGrhvhDyDjcmq9ZKlQ78lpK 839yASb8s9Rk+hLVZvoh1Wb64f9FbaYaZk3hpGykqgrp8dKAl4US535uph6B5/KREmWZxCmZm7Yt j+NvKVE8pdTGKDnRMhEquB+azysmEMeubjT/X5hSkGI3mqspZq5K3Si96uLrVg2S3+VTts2pGnjE ch9tO5uqxUqBWeEfOY42RC1SdKm/dYfbvgaRv5uVNNq2lak6nNPQj9nI9EgV169mQ9PjTM5Eikpg 2H6l6pHQppFsA4Vv7rSeNlJJT9Wdtg+BAbgJiCKbPj3OVqDmmn3k29jOI32zbt/mD7QMOGibNGhf +yu2o6g6zAfZNbaJQJb4TRCmtXnTw2Vc9tI2Nh3cpWUiNk4dLJO0B7ZVqPDNEcFwXkBTrwccic0i PCaH0PYAGRwyVGh+f5XAMRo0Ahtobn+COqLu/tEdYBNqgEWU884cfSTjRt1pAzWG3WmDg0Z1MNtc eCSsYtjVZDOvHQmiNyOjQxpSc9qRh3ozYWNlHy1iU2oEsyA7ytx0ZCDjQKPU2cwdXm1cpkAZKeQz 3uhYh/viWAh1cNDj93hMb3Ld466Rrb1IT3e4sUhJdLuL3eDchex196pbZFcvGlt3qjGldTzE/egG c1UrUAaqTsuXHHZ3lxs4/8v6qdhB5JPcIM/AP1qZMr2wJbnR1Iz7x22EFHeJhxRRVlB1L3hEQFg+ VUxfjUkoIxYeKsck0hs9D49jeqLKgH90+2WcQKFLHcsMQjVaGHv/1uDlyyCBh7rRXVTGBWRiYM88 6t2hj+TU8EB3A+JCvYyHtjEz9At4NDut3XJgPICNlUMThR6z7kB76jcog4EUDGyF5SuU8ajhclWL xsMD0wMWRfnFZTzqAUZYYsajz1BT2yAPOA9pt0mwkW/m8eYBNnBYJGITCG8mx8kDzANOWrCd0boU J6/GAYh2mS42fpimOtztEWUcUxy1zjaH0qaLN3NyploMGaY0GpniRyAogW52d0fvMyxsDKIrmDYW KW4wVTUBasFhUFM3cCH9I4fDYsNgKAMTaOdJGmzIppFeTaLeosHglfTWwOK/yaJpu2EhX1DjwUy3 KC842hsd0LLALrh5bUa9ngyoF6xv9NJy0+H1ZEAlBXPda8g0Hdb7RUNVWQAXAZ9oT2hR2yZlL8gB 8mIxwSLl5WFSo8iJ94/ElJeHSf2L3Hv/yFnp9WFAR8O1c5GvmapUxHsu1w3W5LwParBM6NXEa8I0 A9J6luljrEWSweTwj35vi8c2yY0OnivOewMTrrN0KyMrmhHLoNzBeb0X0HpgdRb1ncVa83drQBtf 0aCwhTY9Xtfl39PHZfxaGEzNbIGrOo9zi5C13h2gKH95DmSnhpqRFi3yZHWMw8u0tBVoCz2P7GQF 4lnYFSg3wMuxpNcAGeYfufIga7G8Ug13V0PAwp9JV53T4mVXUpdLD7KyMGebfFP9nBEWCLdHr24B zRb7q0G/hgUxW+zWgpE20qKFtWgC/Yq30WLh1CEj3PZQuhnLoM4qrOxQQ4vdXPRccTLScwE1akWQ W7CWOqzndU/axL7o2WocRYvlZ6EVNcKiTc62tlrGUrRYDpES6Z9An2Lp2sQP6qlhPAUS9gMmvLIQ YtJ14RSyEGIL30Wnr3ntkjRm08pfb9KmxHiLFst48Hpm6FrMYv11Rlak4dNJIpXRFS0Wp5aHQutg 3AWuRommoBEWLXYrgTUzxqKFfxdYUYv2teBho3c3SzekYDd1v4aXhfhaLJA6ilxZWA+OVvjuZZw6 WNHATBlX0SFAoo23cRUdhl2ne1QWpeswNCuUayyfYDYad9FhNuoIk5cH6cCXaFLdS4J0mIEaRZbE 3yMTu9FItsT9HmsiGyJNgVV92Sf34MD0PtmrfWD3duHuBN9tLEYPI6Bfz2iMvkslj8o44G8NQuM0 +h67Lrm9xzHl8xrTA+Casq2M1UCsDJsY0kHbZsvEx11FCCdLF8Sy7/s0YdhTDL67rGUDhrymHbte xi35Hllr0Uga5TFgJAc9kYzzGMZUqkW+nhEdQyplyTYk+O7CdCRdg+EzrmPE0VHsL/2jh9yS6Ucs 7zgq4B89RJZMP44ogxToXezlBKjqZEfcdHWGHZYJEC6678rsm8DgLdW12MsJ9lJnlnh5DVRfD+yl 0RzgqKKoq/Ec4KmXqmpEB8qqplw/Hz49FMZ6YAcJl0ebDeM6EO6PHyyDhr0rEKqRY4QHUhlSMblF 6pYRrFJ0H9bIPtpBNipkAvqXjTo4gDOi0CuY3tIMUHEMJIwvU4iqY6RAI25x84+Cbm3ECKpxwseQ pqw2ZgQ3xKX4on+3BAGVxKixJ9H0ce2FdHG4BVzaoi8vkxOjjNlOnKEcMqqDgZMDy6BBdTAaeHXa s6kpp6PGDkwClCpeJFJUOxaoRlfQUiMGGTVd1kfssqLgFhW0aEAI66qHVMWixdIcnL03MgQbLXhJ coHxehXQERuaoHtsLraAfnCuyypTYG8DgkVj10gQFJrE7JaTwUgQfCGMsn7OxqVNLGjQsI1Lh+ne L8KoUSJVC19OpyPVnswB3kovDag9WlCE0wgBGeOlJKqESx1xRp1V+0YMZWDFjAsBIRSxyrWRIUgT Szm+suuNDUFVX7y0HiOjQ8Ad4ToeDTfjQ2AB4Q3QGGnD5hkdmMyR1TRyJK9FAZaNHcEaiy209F28 0AM4aJSx0bbO+BE0jZ6SK7DXdABpmo61yL43hgTfCHzo5wqXiLUfVev0YBotgpbhU/NmXH+5TSmk pmN7pB8s/BWUgHe6aMEyjgRxmoVOMAqqnyfDBChoR85rMyDNNWDcvR7DiO3fQrfCkjuS46sz9r0G A67BCBxfr7uAaqBL+8FIkhHzTfrKtXEkqAmF6I0cPuNIkv9fsf+v57zxJamLA2hYjseUKEE9zY0j wdEJvfOtjSKZ4Jjq7URt2RwIj2GiaefPOJIJQQlNoXlZBNiCiJxBVL4Y7FVix2SnGzOSnfGgBy2v A6YAw7jI1bTCB5jtWIe0iTOiBM44aoUG/WQuYMrv1XbG2JHZuycTr42dpXhA27TGL3FJjSmZNz26 n40rwYOpNoMcECNIMCCpiLJ+0MxibJuNIalAqkTLotEi6b7maDIZL4I4FtZCPfMt4wNbrDTt6KNf yzwNmAC8/yKZsrNGcA8FUJkFku0YS4IU8IDD8/ID+bnAT7GaA/B8QIctgpzRJPBEQifIuBE8iLQO PUGMEEGXh9tNSwCZ3SqNM6NE8CAsibadlviBuFk6UKa73oYrPdgzLqSM5X7A8iBhZdF+0RgSWCy0 w0EK3Y7ZTZB3eIkl8HO2JMloG+AMCQp7LH3vEmvDJA9nr+WG5M2xPsuKTKKyMjTIQwqMsuWHpNDR QnLBGBJcCoD9v+pmP/mPLQ9AJc2hH/eHEpjasnP9jH/e8enEJz/ZD98XMRtpvfw8f9XB+dV+nh/i R2oKAqzSw0GGSen6Fh6TNpx+Xh9eMhI85JzzQ/o4oQHHO2ja5hxKxC/b8/jJfPQUlvwlC2JjmSAo 3BaliTbOdDTIs9MZ4o2fVUkJMos4Lj+Dj31tkNzg5+5xKAeRDt3PznmkubBoy+iH7ZM9lDPBr/hB /aal32yDmVgizUZgU18Al84rNEssrZ+pnzCAAaIsMWREMfBgBtvZ+QmTQ9NKjbEgY43du1w9/Iz8 ABJQ58H4ufgBuZM6w9HPwo8g+/TK6uffJ5wZ06EGP/SenmsWhVX81PuESJMuxuhH3ZESF5ok50JW Kaike9O5kFXKpaf1LpDxfTZ2K8tmJNEi2OTyUqwnHTEkyXNdsuY3ftgl+dm6Zk9DZAnoTk0l+gF2 eLvpAJF7BLqHnDeBBwG+10NZ0nNrLLMEqYvR1s5Prec9B89p3ZV2av0c0JHmyHJLsPuAb6+fM78E ldWD7As/k47uSwfA9DeaX4JihsvCDY1llMDEAr082XQ7Zjwx9YOTGDixUownbE5kZS3BBDw3ojB6 iI0wweVUWP+lisaYZFp2UeTFz5bDQUbuqcamUSbY5mErQXjW8DH6JG/+NZPvx8jBwcIV0m9ouzyw acHRUixZZRASKpaB3cgU+P2IEujxsJQTDBwM2ZItmx8Sh0OKcjhfuY/ByfByIvzp4XA4fbj6tN49 v66un71IffS0OaZLMs9/be8/z79u0q/vbg/H+81x/slq/snp83yn5sP6dPdhc391+nA8fHz/4QrR RhrE+amnx9f48vXtbn/1G1qcQByhS9e3T4fd9v7H7W6X/3N8//bVrjSyGlavckvPLh7D/3b7Wd/8 nXe3D+vjr2fVvzy8PexmJfeH/eb8Yv5AORiPg/P5rPzd7bsXf3jzGjlGf/iH715+N7S3+BMJj6k7 3qW38xP2+MHhiFd9dbjfvPjzZr85rnf5Mf8pnn/E7z/uT+eeA/+V+66kP9tcxk1MWA9LjQdsxBRG jdJOEnCfymfBUfkk4ZUnpmBxKeBOEkUnFKfRDLotvUnCq5z0Oh3SDHWW8NVLzwvbpSQJrziByp+q r8x0J4nSUfhbOx42/5OEl5uYdF6aGYIkYQMIN++rKcgp79y9XmsiUMu3L6kV76zgEmnfyKQQAkEr OK9u1F0SIWxphtiy23EXEqKzTnHpsiZWVCyLELr0Vta3OakVgpc+mGcp77kV12vSNU18y5NaYYAp fHncN0k4wLAeKBHf+iQRRpiUoBmfTiSUD9h+KWJsUWrEERbpdTH2hDBNB9jOCP4NV2oKrmr2SHES cYQFNzV70DiJEML0ns3y6LNipb9gv7Sb54Hk1IojLFLMZ34S8S7TuSseXE6tEMJ0cN3DzEmEIaYG 3/dYSYIQph07H3tIEMKCLZ8bfIgwwqRabvCThH+CSgpu8cGFkwnT0XbfZ00QIYAFbITbfIgQwHSO ohUPA8BSHmH5BHda+9YriRDAtGK+88oi1GOSl/Q4dhIhgOmSor4FSyIEMM05+GYsiRDC2Mt7PCVv qfg5Fs/OPcYQk6i0cHYWIYgFivmCD8W8w3AQQMHSt2oT9ieEMb3iW4wbinE9pk47bb5nSyKEMX3g zXdvSaQgDEZME7m+j0sihLFAMZr6EPEu00cOLR6eX58wpoNQvrdLihHGdG6ab+2SCGNMAsaC5Fkx wpjc71m8PEsQxKTv5vu+pJZ3l8SXb/omXChM+NJbYd/+JRGyYbqSvYfVkwjhS8He4+tJgNClD6x4 pD2JELoCtcjmQ8S6K7gd2kPuqRVCV6AYzXrwHPbBoQr5+mTzF14N7WH4pBihSy/3HoVPIgQvfXDA 4/FZhHpMvotH5ieEIAlh+mibnWIA7hfeCu3h+iTiCAsuhfbAfRIhjOlKMx7CTyKEMe3rejA/i3iP 6VibnWzIr08Y0/S5HXLIIgaxvtOem0fyk2JuwUZ9wsWOPuRWCGP6SIOH91MrhDFdztej+1mEekya Vo/zp0QgxpiaYR7wTxJkxDT37aH/JEIQ03VNPAkgiRDEgh0+TX2cYzDNgiuq7SoBDAtEvMP0QUTP C0giBDG9rnpaQBIhiOmMSTtDkRUjiOn4mCcFpFYIYoFi5OsjC4x6TLLmfpYitWIdhjCSXIs9UQDn tBhimnzwlIEkYnrh2JdCpecOJAmGmJSgXd7FXQ26er7XnMCwIMHcFNN6ecmJWcR6LLr72a4PyDKO seh+ZT9lkVQjkGnnDaEZ46sgQyjTxe28LEXWzWEW6kbbPZDv3m2RbrT2Q8Y+0d3PdoMAdEtByGI2 orufrUpFljHV+ujuZz+GkdohsOmAPpLrvK8RdrdPdPczMX2pHI8pF+pGfj/f1hDd/UxcH9ohvOmq TV7VIvcb4U27c0i85z4gvOn6vcghZBkbUlTlkjbKq11k3QhvkW5kDvi2hujuZ6L8Ft/97AdAJsjY kPbR3c+W+YD3YaI/uvvZsiCyjMEN/aYMItLtvKuZ69fVrrxoRm6FFlA9OEz7Mdsf3P2M82CsGYFN Z3d7LY2sGoNNdwBhgCn/4H5lZMmxaoS1QDWm/pj0D+5+RmDW22HWP9SNbAHT/sHdzwgUcztk23RQ yetzoKv5pobg7mcEQLkdsm06sFQxB4hoga8JOrSEPCtuh2ybDi4h8YxlCG7a+URwlmUIbppuQsID y5BtC0JMTAReRAAi3S5wYN02jbqqIvLnz7qlolK8lgZRJuMCswzZNu3pIWuP2yG8BXEmL1uadCPb FgSajA7MuhHegkiT8YGzjHVccPczMjL5fRhv0uwYIZibcbgB4FqmmIMsQ3DT+dLIKmXVCG7B8muc YG7HzVuoWyGHZhnvNh1xQhq968YRgeDuZxSYZhmHW3C/stcagW4cE0AOoO7rYg6yDMEtKB1k7GCW cbhFuhk9OMtQv8m9lRcnyTIEN01f4OQ29xvjTXaBUYS5GYabFiEUpIPQ5YPcXi1zgQJGmxa5AIH1 2TQGjo4d1sHbcGgguPvZy5pkGQKbDvNURhNmGbJtOgBVGU+YZUqnIRFTh8YqIwqzDIEt0o1AwPGB 4O5nr32S2yGw6SBUZVxhliGw6WAPXBoHKIcIgvuVK2MLczsMN8l9wePkdghukW5kDDhOEOlmhCF0 41ABHA2Ja2MMswzhTYd8UEXc34eDBaMORiGZkmUIbzoaVRlpmHUjvEW6kTm4iBgE66/xhrkdwluU 6kH2gGMGqJel+5pwcBE0CMocGXWYdSO8aVtt1GEWIbjJoBROivHokHWT72LMIRrhoAH2Q1qGMMBR g1YHgECpuGYXYQPdCiGAowbB3c8glbgVQlqkGSEgZWSXT3D3M1KJuB1CWsAY2NGj3NNk2XR0Ck9y O76ORnc/8wWkS+9+NgYx60ZQ0wEqr9Myy5RuQ6lkGaHyki2Q4fABMqMVDrxkS5Yhy6ZDQV69Jcv4 Shrd/cx3kHIIAZSS1o1wwDEEVPzTMrQicBAB1bCkjDGI+X0IbzpQ5TVdsgzhTbt6Xt4lyxDedKiq tvNPWYYsm45VedGXLEN408y413+ZZRxv+tBdbQwiZDiWEOTIGoGYRQhuOl6FPHWfphxNiO5+tpTB 3A4tpHrxxRlcbofMW6CbEYi5HTJvOmZVG4GYZQhuOjZUG4GYZQhuOmqF6ib8PgQ3HbbyGjO5HYKb rpPr9WayDMEt0o2WBQ4oDDpy5VVo0M5FQEETGqhx5X2w7O5nL02TmyHrpg2VUYhZxNEW3P1cG4WY ZRht0k7Zaa1ZxOeorjqMw+jcAQ624H5lpD6xDIFNR4hqYxCzbgQ2Hb3y0jZZxsEW6kbGAJEBsyBt pNsFCKzbpuDu59oYROjGRwaCu59rYxCzjKnWB/cr18YgZhlCm45e4dYZHx8+OLAKCngwg8jhhFA3 wgFkrOOCu5+9Ok5+H8Kbjl55pZwsQ3jT/p5XzckyhDdNn6Fzud8Ibzp65RV0cjuEt0A3phA5ohDc /Yw7ilw3jigEdz97aR3oxhGF4O7nmilEPkkQ3P2MfG7WjcybdsOYQeSjBPrwGA54cSuMNmkQLbEw dwCBLSiTZamFWYbApkNENfOHfJogWEiZPuTjBMH9yl61J6tGWItUI1uACIR9grufa+IPURnDI/Oh bo4ByJBt09sRyzHMdxiTadPBKxznMRCgGYJa4BcQgQgZWkl18AqHmbgdApsOXqG6B8sQ2nTwqiYC EboR2nSACDcfcTtk2jRBhSNjLEOmTQevass1zONDcIt0u4CBoS26+xmH7Fw3jiYEdz/XRCCiGhHB LfD1iEBMRfpsUAcdvEJpU9aN8KaDVyjnwDKEN02eeR2hfFmyqYZ+k0QYijtwO4w3aRCJP0zF6eyD 4h1axj1EyBDcdPCqtrTD/DoEt2D1Jf4Q7TjcQt3IHPBJg+Du59oKEUE3jicEdz/XxB/Gdz/7UYua CETIENx08Ao37PmQ8mmDlQ5e4Tw3yzjcfncvNetG5oDjCYPOokZhJW6H4BYwGpaAmPva4IYz6xJu RCKi2xhuWoRQkAqelM9KB69q4hDRDKFN1xZBUTvuATJuOnrlpYzQAxxNWOkIkVc1yjJu3BodIfIC R1mG0KajV17rKMuUXkO5kUg3QgEfPwh1o0WBowmD5s+8GFLWjdCmo1deFynLENp0hMhLJGUZgps+ q9RYFmKWYbxJY+3VkrIM4006SF4taZYxwA2BbpaFCBmOKKz0lPMaSlmG8KYjRF5DKcsQ3jSB5vWU sgzhTUevGuIQ8T5k3SLdyB5cxBT0AoxMO5/bqbBi0W6lF2BU72EZwpuOXnnNpdwHjDeNHSIR0Qem GuavMomoa8WqEdwkSYUTbRcijjbdCNkCjiesdPTK6zPh/flAAkps6HbIQeQTCcG7EAI4mrDSu3Kv 4JQ1I6RFmhECOJrQ6yvOvJpTboeQFuhGBCJ6jZAmgxY4oejDifq75lL2+qpjYJ5lCGjaLWiIQIRq hDQdvEJ9fm7HkDb1OnjVEIGY6iWbcisdvPJyT+hqPpmACyUl2CwFMcu4Yeu1Y+BFoLJMMR0YaR28 wjWI3gd8OiHSjQhEvI8NKUqxaRwQgQgZgluw+BKBCBmCm3b1GiIQIUN408ErlDniPrAhRb9pY0gp iGiH8KaDVw2lICYZ+/Q6eOXFozCmHE3QG0zcFOuvw8EE/ELCjTIQ0QzBTZ+2wsW13A7BLVh7iT9E O2TdIt3IHPDphF4Hr7zQVO42gpsOXjXEH6ZbEewDfOh+ozUB9yXbXOg15+blp7JuBLdgISUKEboR 3CLdLnBgaJt6TVI1RCGi7haZtwBvxCFChvy2rw5eBWWnSt2lUn7qm/WXfviuuv3uh+9Q3CoNx39l +SWULfxKd9+0FtCjyBhquSlglFUvXR408cXjUqKAHAdeblq+SVRKFLcntaFXhWLbcD1RUPWtwDgV LNdufXFnkKkR3ABSXNh0ZZEm0gs402VI2lG1nAfk5Ee3btqooCj6RSk6afJsh4JLVW6wP/aP7HBL csgXUsi1zk9G4fqX4JY5G5keuwPpQ9vOA2m7uBDR1dQz0rIXKhRrDVLvbaDwzcENpDZSSU8J+OJH YP5H10jYQKUrDviSbNnrtodI36zbt/kDLbVvackG6SqqgES3sUmFSeVI+7Ek3Hmi2Rc/iYRLZFDZ zj/6pW1s0m2zy0RsnFDUUCvjZ4/wzTrqba5+6nUduDf3Pj0m38Yc+gwOOSXNh0+D0/HdGvqbbaAA dVwZ4x/tWputyxeGKUD7uaFUVlp/mw1UqhIvkeKng9LNJXKymzeOGrdBGVJzwNOtACOjQzqs5n+j tiKuTXAI6nRVc7+rVC9P62zrEMo865iMOdnp1cZlCpSRwhVyuKtAjZS71VgI9Z7fD/PgMR15de8Z tcqXdZQ7z1ikJLrdXUZJaH080j3kdPfQorH1MzqY0nqf4zH1VERZIsXd4LR8yWH30Hm6J3zReHro HFd846JH/2hlyvTCliQog+vR8jZCinu3uDhHQ9UdWlywK1WzKjsIl+iLhfzcDCaRPjrnsW5MT6rE jLMmCvZ2bw2IcvlMmUEgFmGdvMODly9OHmqE6+vkLZiNSuyBPfP4NS6x1VtJD1mjqLREnAepMTP0 C3hcOq3d0mp4KBorh96Ae/QZNxTp5CA/sYK7m3WOl8eY4XLhSjn/yAXGQ8woLy43oh5URn14jRmP I0NNbYM8dDykEKhrqXeofvQEFyXgslf/yPH0wDHeTI6Tx4pxEcjAdkZ/cVmRcI0Iih+7KoH6xY9A XBZF3NV88uAwyuvocv1WiAYxGjjgpICcqRYOTnccBiNTnDxc3IBudndH7zMsAIwq58G0sZgveJ3g Wj4L84JNwj1p9GpyOKzIDMjGwARaYDeVHUelUv9I1Ftct4HLK7vWQrnJomm7YfVjcG4umOkWsQXd GlxMY0Fa0K/ajHpxmAYTEmnA/pEY9Oow4GiDuY7bF878XIP7ppYNFar6FxlcSRLsCa0KDCKk2NKo +eKVX4JFChchUqPIb/ePxBR4iiKD/q1TDYHykZakslIvTfI/uLODF7AJh2VCrya45aDoMyA2tEwf K+/SQAaTwz/6vY22wLWUwcILdsr0SYlJcoCMrGhwqYcOUHvpFuRzgNUpnY2/dd8ZdZG/O9DBxjIV qgy+rziDqb+W9nEZvxYGUzNb4KrO/ZUK5uvdAa4jKM+ltBDZrUZatDi8qRPvcAubfV10B66XWWkR 3dJxaq+tkl4jXYllH2kecZSu6ICLZvW1hl5QpU0hfQ1Rq56culz6NbgBojSbfFP9nBEWyAGPXt0Y C9TnDy6l9qIo6VKvYKSNtGhhLZpAv+JttFg4dR6jFzwBu3ujo4Ve5KTFbi56rsya9JxOzPJiJm26 sVQPm1EUbWJf9Gw1jgLn25ZaUSMs2uRsax2MpWixHOKcnn8CfWwKJX5QWw+LDKZ7wvRxS9DBBZfQ deEUsmhgC99Fh6VwUVr5bowZ6hD7R5sS4y1aLOPB69l0wi2mUdEMM3TpylXdrUZXtDC2LQ+F1sG4 ixbbG30vvBcVwQHraEobY9HCvwusqFEWLXjY6N3N0uEKxJYX6aAfbMiwQOrsJS8SAp84fPcyTh2s aNBHxlV0CJBo421cRYdh10FHr/nRYWhwRbd9gtlo3AVq5wYRpsrIiw58iSbVK2MsOsxAjSJLyO9x PFhffYjgxnky9Snjg1wSTYFVxlv04MD0Ptkrd2D3duHuBN9tLEYPI6Bfz2gMVKaEZ2YDgRKM0p0w TqPHNWCaukPtrNIlALimbL0oB2Jl2MSQDto2G8XRY53TidpeiKNPE4aGRXOJXohjwJDjBIN9JPHv dTiGRPNIlgxX3J67ZMBIDnoiGeeBI9iRw2xExwCmbmQbEnx32YklXYPhM65jRJ0h7C/9o9/P6mqk C8mR9O8fyUSjDOK5T9K97DoBB1fJnZ+bAFV9g3hlfAeWid/dNkWhcyM5JjB4S3Ut4zfBXurjDghr mK5Yr+RMMpoDHFUUdTWeAzz1UlWN6DjfX+fDp4fCWI/5bm5tNozrQLgfvlHwYBk0RPyBUI0cIzyw WUw1zBepW7Zg85XlZL20g2xUyAT0Lxt1cADn0QTbgektzQBSaOxBlLmEebSPVAjRpCKTAo2Lrob0 Qhe42xo+hjSTXt0C+yWQf0t61atbYD+YTsoq9HpJi3yVYENvKxGGG7bL2yLhceGV38aUoFRl4vet U7Xdry0dHSUXI++vNqoEWzHswCRAvXhFvmFQOxZesQLdEjdd1kfssqLgltemwPYJuxyNP7+/qsXS HJypMTIEBZzgJcm1vvbsjSZtaILusbnYAvo6lxRMSUFAi5CeTjXx0hL5emqtopEg2CzBKEu4GguC C7RhijSujQapOkz3RXccet0IfDk2RnqI/Jop8FZ6afACEbiRMSJjas/nSGS9jjh7KQjADe5moKKN EHIYAlbZqz4gTSwdPJVdb2wIqCO8tB4jz+DAAepguaiND4EFhDfAsQetReFGwJuB3w7ULR5JXosC LFv+NdZYbKHlQu9VG8BB4zC0Xg0s0xpNo6fkwoqRKdMo53/pbzSGBN8IfMjeMVYEaz9ylXXvGC2C +27hU/NmXH+5mTqcl8b2SD9oY7RKhMciW28cSbpRbpkT7CUXJkBBO3JeZgFZrgHj7qUVRmz/FroV ltyRHF99dMfLKeBKxcDxrY0kGVNaz6LNgJdQGDHfJO3jVRNGXHEcnKw3jiT5/7i92D96zhtfkro4 gIbleEyJEtQuhiV2TMir0BPIkpjTVXR6O1FbNgfCY4hwabNpHEm+V0L3pZEksAUROeOlDfAgdlNy zhgzkp3xoAeNGoEpwDDyblh/udtCcDqBiTOiBM44Kk4F/WQuYMrv1XbG2JHZuycTr42dpXjANqU1 fomraEzJvOnR/WxcCR5MBQNlnxlBggFJ5+b0g2YWY9tseR+o/IbNUaCijVZa4gIoWO4HrhrAWqjR ahkfCEqlaUcf/VrmC+YLzBetEMaMILjXI29sSTvGkiAFPODwvJBAfi7wUywJBFsf0GGLIGc0CTyR 0AkybgQPIq1DTxAjRNDl4XbTGJHZrdI4M0oED8KSaNtpnAj2LqnKiRxiO/yfH+wZF1LGSBFYHiSs LNovGkMCiwUSkYMUuh3bUYO8w0ssgZKzJUlGTzBnSFCi42bhe9ukxOnUaPZabggoEHi/eu1ysqRB HlJglC0/JIWOFpILxpCguj/2/6qb/RQ/tjwAlTSHfnQfSmBqy8718/p5x6cTn/yQPnxfxGyk9UKe R/GSOzi/2s9rVjZGHcZIx7T9DD52m4kd1t1jy1wLm62pCj9tX3VYODWX5kfsK1wItmzP40fs0VNY 8pcsiH7EHhW7ozTRxtI/QLJgzy/x6ofpAeyFMPTD9OBbguQGP0APcgSRDmnb/NR8nguLtozIayv4 gT2UQ23n5OH5wKOhZSPQxvZviSXSbIQfjscmG+7/EkuLNNiz2jgFGyHKKJExXzkmX9AYkQmTQ9NK jR1owWUEQYzOD7wPsHM6DwY31Z/fY0DupM5wbIwDGUH26ZXVj7NPODOmQw2IE5X+w3MoaeAfbeUs MwQ3ySFELfvSuZAV/IXAJDkXskpBpeAbzYtcpVx6Wu8CGTOMq3Sj35KtgJ9Qh1ubho0++m3LCMLX x9q3ZM33E+rZzw7O4hJZArpTU4l+Fh3ebjpA5JrrHnLeBB4EAsm+lZWeW+Mcygp2TsfTG+JQQGnz nNYWw0/ArJL51wuz5ZZg9wHfXo6N8SboFUxruUNHqm6xgtmf13beMkqQ+gXmdNFqYxklOYoAD90/ WvMyP7E2IIqjX9EOw+DBdKWk/EbjTkCOIgqjh9iySnDPFNZ//YU2KRMtu6wrjD2Bg4zqWBqbRpmA ycRWgvCs4WP0Sd78aybfT4RjEOEK6Te0XR7YtOBoKZasAp+EimVgNzIFfj+iBHo8nE1BtZSIrA8O fJeD3k8Ph8Ppw9Wn9e75dXX97EV69afNMV0Wf/5re/95/vUq/fru9nC83xznn9TzT06f088/vfh5 fbz7cPX91b8cPm0e3uIhBAcJLfNjT4+v8e3r290+/fl02G3vf9zudvk/x/dvX+3O3/3jj8n6ZI0u Hns2iyY18zfd3T6sj7+eNf7y8Pawm3XbH/ab8/v4A+WY+zePt7/Eyfbm9jv8NYfE/vMH3BFoy132 eLpCLz6/LjHV1C9IcSifoEJbcWqyhFeFGLRDUjaCWYJqQugExTJrswRVhNCJxWUhnSXMeAVV48pW I0tQNQgdNSr2N0uUnuphVNTkLG5rFvBCEDq8WeZyFqAqENqRKZM6S1ANiK8P/wfzriCwzL9vIjHV WAAS8dd/NRKxL0DFZrmjK/DDJioVvVBdXzCXCYtglS42McV+KzaK6osL0LDZwvJPtuTxlExOmVcF XXmzrbnHAilstaNzKAVIuE1P7n8KduBtyF4paIHyX7kPAT4KLgK7fP/T291TNtAfDr/9tHm/2d// j82XCxv9hN/8bX22hGcjlH72an36l/XD5nfPvtkcv/nz15vj3WZ/+t3zP3x8+3a3ebP9O38V3spU W3/+5/tZqsU5JeQGtbMlvPw5mLnZwsOY361Pp83x1Yf1MQ8tFqSXeVm5lPBvgsBuu38/r0hbKLk+ bQ/7uc2H7f7n9ee5xYf1efnCpO3OP9qen0OWS/5RWkz86+43u82JX+zudv359eFp/u6383dg3v74 cLp6dzg+rE+vDveb59d/3uw3x/Xu+urp8BHd9tN2/+vm/ryqplXqfx2Ov2zvfsUq+ev8VYePJ1Po 699t9/OvTpDAeFvz+83n0y+H8+8+z0vp28P9l9fHq+PhlJaYq0+bI/7x4XD8e3oMy+XT6c3py26T //OYfnJegu837/4Cuae/Q0lwZddXb7P8Nv/58fl1XkKvnk7H7a94vf3hTf4XHls/bdD3+Fla0C5W Z/yHF/F5A5HUwLJ9sdbvMFz7q9OXx8279R2+6eVxi67LKm7W3/753dO3fo4vnt8jt3F+M0yJ1+vj Or3dbr1///x6s//+r2/OeqALMOCn3Hl3t3fHw9PTyzNGElgLKM+/2pzHff3xdPifm+O567PUD5vT b5uNYe4esys1cR7rv+6354lTMGaYtn9cgttbJjQejhG4C5JxkjW/3b8DyLm3727/fwDy78bAp3n+ 1f+FMUjUbYIh/NTZsuBfj7vD6eVxs05Dtst21P9lE+44D+lu/QXTdR7c/cf17if7/+efMfvnCb25 f599zrvbL9/6YfGjQZfhAvEeN78hSaJHft0wt3G24UgjRzU98AZIsO46ZP53//R9Mz/x29wOEieR vA5KGIRE33UD7k2cf/+h/B4pRwOWLyx0iUJDzbr0e7zyw5qVxw/8veC0H/G/8zecn/duSZ31t+3T v+5350fOTd5vnx5/wCT79enleaa8Xz/O2qQV509psfpXfDUM8uVX3xVTP8/E9e1sxrIJWGyysn37 pim5etye7j78uH7Y7r48v0Zlk6vU4NMm28jcyDfsyb8l9J81NjDem+N+vfvT+rS+Ot5usTwc//l+ 9rKSgfnr4/36YunBCLFMHsPccW8eYTZf/B8BAAAA//8DAFBLAQItABQABgAIAAAAIQDC7q8uFgEA AKECAAATAAAAAAAAAAAAAAAAAAAAAABbQ29udGVudF9UeXBlc10ueG1sUEsBAi0AFAAGAAgAAAAh AK0wP/HBAAAAMgEAAAsAAAAAAAAAAAAAAAAARwEAAF9yZWxzLy5yZWxzUEsBAi0AFAAGAAgAAAAh AOFRNx/PBgAA5hsAABoAAAAAAAAAAAAAAAAAMQIAAGNsaXBib2FyZC90aGVtZS90aGVtZTEueG1s UEsBAi0AFAAGAAgAAAAhAIr5rSV3AQAAGQQAAB8AAAAAAAAAAAAAAAAAOAkAAGNsaXBib2FyZC9k cmF3aW5ncy9kcmF3aW5nMS54bWxQSwECLQAUAAYACAAAACEAZwPuhs4AAACsAQAAKgAAAAAAAAAA AAAAAADsCgAAY2xpcGJvYXJkL2RyYXdpbmdzL19yZWxzL2RyYXdpbmcxLnhtbC5yZWxzUEsBAi0A FAAGAAgAAAAhAGEUZVT2AAAAbQEAACYAAAAAAAAAAAAAAAAAAgwAAGNsaXBib2FyZC9jaGFydHMv X3JlbHMvY2hhcnQxLnhtbC5yZWxzUEsBAi0AFAAGAAgAAAAhAJ6QWGrtOQAAsiIBABsAAAAAAAAA AAAAAAAAPA0AAGNsaXBib2FyZC9jaGFydHMvY2hhcnQxLnhtbFBLBQYAAAAABwAHAAQCAABiRwAA AAA= "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image007.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;a href="http://3.bp.blogspot.com/-QjY5IV15zcw/UUi5sKP_-lI/AAAAAAAAEyE/E2EyX2FuOcw/s1600/image008.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://3.bp.blogspot.com/-QjY5IV15zcw/UUi5sKP_-lI/AAAAAAAAEyE/E2EyX2FuOcw/s320/image008.gif" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 4. Same as in Figure 2 with an extension between September and November 2012.&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 5 depicts the state of the S&amp;amp;P 500 on December 15, 2012.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;The index had a local minimum of 1347 in the middle of November and recovered to 1416 on November 30. This was 15 points less than the expected level of 1430 in December 2012. The red line intersects the blue one in January 2013 and a negative correction to 1400 (or less) was expected. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: justify;"&gt;&lt;span style="mso-ansi-language: EN-GB; mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shape  id="Chart_x0020_4" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:434.5pt;  height:287pt;visibility:visible' o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQDhUTcfzwYAAOYbAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPx P4x8b7PfzUbdVNnNbgNt2ijZFvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8C b2ZsryfrkLSNoILmkLWff/O+35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE 9Lw5kd6V9fffu4zXfEbTCcciGEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FA zFYatVpnJcY08daBo9KMhgz+JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44Zjc Ux5iWCr40PNq5s9bWb+8gteyQUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6 wc8AsO+DpVaXMs/WaLXez3mWQPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgD svj2Er7V3xgMOg7egCy+s4QfXep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1i yhN1Uq7F+C4XIwBoIMOKJkjNUzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599 //LZE3R0/+nR/Z+OHjw4uv+jZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8 FuY9//Lxb08fP//q09+/e1gB3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ng P1SRg74xxyyLjqNHn7gevC2gfVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJW xu1ifFAle4ATJ77DWQp9M09Lx/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6 ZEwnTjYtBm3RGOIyr7IZ4u34Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWS e3Phl3FDqSDSIWEcDQMiZdWYmwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy 9gO5DymK0Q5XVfBt7laIfoc44OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD 59eOoQE+//pRRWa9rY14A+akqkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5U z2dttIveCm1XrxvsotgskeMTV8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4 +oiqaC/CKSyw655mEsqMdShRyiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYz F9TUDM4qrHkpYwpmv46wulbqzNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc7 9+ZhMVE4zxDJCAcki5G2ezlGdROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn 8CJKum6PlSNLysXJEnTY87rtRttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2C OhxTWL8vGez0gVRItYllZFPDfMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5R tO/sa9ZK+UwRsRcFh2jCZmIXQ/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12i eSVbuKnjQgfzVlIPbKvU3Rj36qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qP BCwcTO+AbIGzWPgMSQUnyOZXkAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2Qy qqSuTK3aE3JA2Fj3wI6e2z0UQaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82 C5rc/4WKFbOqHW+G53Nv2RD9YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDe g/Q/mP+o8Jm9bdAT6pjvQm9FcNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3k HnO21uws8X5FZxeLM1ecU4vn6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET 3B15QGtoWkPT4AkuhGCxZG9xel72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekf D+W3GbCCy24/8qbqXM2t/wUAAP//AwBQSwMEFAAGAAgAAAAhAICW4893AQAAGQQAAB8AAABjbGlw Ym9hcmQvZHJhd2luZ3MvZHJhd2luZzEueG1spFNBTsMwELwj8QfLd5qUNgVFTXtoKeICSMADVo6T WMR2ZLsh/T3rNKimIIHai2WvvbMzO+v5spM1abmxQquMjkcxJVwxnQtVZvTtdXN1S4l1oHKoteIZ 3XFLl4vLizmkpYGmEowggrIpZLRyrkmjyLKKS7Aj3XCFd4U2EhweTRnlBj4QWdbRdRzPIglC0cUB ag0OyNaIE6Bqzd55vgLVgkXImqVhZOBYs/ORIVXtvWlemmfjmbPH9tkQkWcUO6dAYotoNFwMz/AY HWWVB4CuMNK/10VBuh5l59ceg3eOMAwmSZxMEyzA8G4ymySTm2SoUj39ksequz8ykdC+MG4CMoOl G4NCPCkvtTe5jxwrnn4pXlVgHJkGwsOkg/4w6uGHcsH2jAlgngRaz9J+N1h+iuN7pAHA/Gdk0DzB +FqzreTK7Yfb8Boc/ipbicZSYlI/JOYhH/s29W3v2+EVh2ffjHNm4ruzh45jjaNPEVb9weITAAD/ /wMAUEsDBBQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAY2xpcGJvYXJkL2RyYXdpbmdzL19yZWxz L2RyYXdpbmcxLnhtbC5yZWxzrJDNasMwDIDvg72D0X1W0sMYo04vpdDr6B5AOMoPTWxjqWV9+5kW xgKFXnqRkIQ+fWi9+Zknc+YsYwwOaluB4eBjO4bewfdh9/YBRpRCS1MM7ODCApvm9WX9xRNpWZJh TGIKJYiDQTV9IoofeCaxMXEoky7mmbSUucdE/kg946qq3jH/Z0CzYJp96yDv2xWYwyWVy4/ZsetG z9voTzMHvXMCtXhxAVLuWR1Ye+vcYm2LK+B9jfqZGn6grAuNa0fwmv48cPHj5hcAAP//AwBQSwME FAAGAAgAAAAhAGEUZVT2AAAAbQEAACYAAABjbGlwYm9hcmQvY2hhcnRzL19yZWxzL2NoYXJ0MS54 bWwucmVsc4TQTUvEMBAG4LvgfwgDHt1kFxRZmi6CK/Qgirveesmm0zY2XyRT6f57cxFcEDwOwzzv 8Fa7xVn2hSmb4CWsVwIYeh064wcJH8fn2wdgmZTvlA0eJZwxw66+vqre0SoqR3k0MbOi+CxhJIpb zrMe0am8ChF92fQhOUVlTAOPSk9qQL4R4p6n3wbUFyZrOgmp6dbAjudYkv+3Q98bjU9Bzw49/RHB g8XX0ydqKqhKA5KE3lgsL/Nm2+518MEZndsD4lQaeLRxVO3h7U6IFheNtnUqTUg3G9HPNCdcLTYv P9ZL6Mqb+4UweWWB1xW/KKn+BgAA//8DAFBLAwQUAAYACAAAACEAKpMFJck5AABTHwEAGwAAAGNs aXBib2FyZC9jaGFydHMvY2hhcnQxLnhtbMx9XY8bSZLk+wH3H2oLDcxTl5iRyfworLRQa1aDxXbf NkY983BvVBUl8ZpF1rEotTS//iwiGe5GtcyH+3GHIwbTqip6RkaEhYe7uYfHP/7T54ft1af14Wmz 3z2/bm4W11fr3d3+frN7//z6L7+8/n68vno6rnb3q+1+t35+/WX9dP1PL/77f/vHu9u7D6vD8c3j 6m59hYfsnm7vnl9/OB4fb589e7r7sH5YPd3sH9c7/O3d/vCwOuLHw/tn94fVb3j4w/ZZWiz6Z+Uh 16cHrP4DD3hYbXZV/nCJ/P7du83d+o/7u48P691xfovDers6YgSePmwen65foHP3q+O6mRbd1afV 9vn14vpZ/uV2tXs//2K9+/5PP8y/POw/7u7X96/2hx2Gkb7/cHf7cntcH3Z41Kv97ojWTv18uGik HlaHXz8+fn+3f3jEy73dbDfHL+V18YJ49qsPe/Tj6s/r//1xc1g/Pb++a7o6EPjn74biYXN32D/t 3x1v8MRn8yjU2ciPHZ6Nz9JpPtDZprt9On7ZrucONYuUe/vM2i2v8Hq13b5d3f2ax4a+bF/1v2fB rwcjS5Xpz/9YfTzuf9kct+s/rrfr4/qexvHu9nG7P748rFf5i9vVl/3HY/7Xw2r3cbX90X6e//LL 6vB+fZzFNztMyTxLn3/a35/6sr5/v55/+eVbv/x8avqmSUPXp6kfl027aMZxOgnNf083Q9uMwzCk KS2Hvmu7f/6+dPzu9rf6hLFpl8u0wN+baeqX4zg/4UP9+9SkpumXLb7XTP2i7fPfn33dM/zCO/10 tzoCU6/y2suDcPr5jU/V08N+f/zwE8BT+/5pdfjyar/dn6EToutDfsLm/tTj09vvD/frw/yGzfy+ x8/5e59e7A+b95vdant13DysryC+WT/l1/1UXnr+1tPjz3jq6na7u/rt+XUal8MScF3dPu23m/vX m+22/JDVw/rV9tTM8XNp6NnZt/DTdlcePD8yj0ruUun0l4e3e6itvDR3UEs2bPULn/+6QkN3t7uP D39ev8v/evfiD29+Xi4Wf/iH715+19zi/9q+zS9f/orvvVrhpco3i7J6Bbi8+NMa+Flty9f8t3ja 4/EVVv0JZXjQPE6PxysMZtYW+TmfXjTTmHx8Hst81e809J2bxdj6R0kklmh6/yyVRMsSqZvsMyqJ jiX8ldoyUvM0n3cjT27t6k1HbyUl+jMJe6Vpkt0YWGLpQ5VkN0aW8IHq+0Z1fGKJgYZK9qPhWb7x t2pTrxppziZ98tFayp40Z7NOozXJrjQ07S1DK+m+0Ly3N/5e/VL3hWa+vSFwjZPsPk19e0PoSrov NPct42vZyVZo8iHiQzbqvtDstzeEsEb2JdHstzcEsaVc8Ylmv70hjI2yL4lmv2WMNYPqfjqbfcJY p/tyNvs+YIH2SjT7HWOs0X2h2e8YY53uC81+d4Yx2Xua/I4h1uhpocnvGGKdVEgtTT5EfMQG2ZWW Jr87g5jqSktz3zHCOtmVlua+Y4QNuis09x0jbCFVUns294ww2ZWzqffhmgapkVqa+iUDbKG7QnO/ ZIC1uis090sGmJzHjqZ+yQBbyK50NPVLBlgrFVJHcw8RH7FedqWjuV8ywBZSuXY090tGmN7uO5r7 JSOs132hyV8SwtKk+3I2+YSwVvflbPJ9wKZeKqSOJr8niMHiV0Be0uz3DLEkleuSZr9niGlbZEmz 3xPG0iT7sqTZ7xlj2hhZ0uxDxIdsqftCs98TxuAByRGj2e8ZY0n3hWa/Z4wt5apc0uz3jDFtjCzP Zp8wlmRf+rPZ9wGbllIn9TT7A2NslH3pafaHM4ypMYb7YUb4wBDTtkhPkz8wxEbdFZr8gSGmbZGe Jh8iPmK6EZr7gRE2SvXa09wPjLBGt0JzPzDCOqmSBpr74QxhalaGs6kngDWyK8PZ1PtwTdoUGWju RwbYoLtCcz8ywBqpXYsPf3LzRkZYp/tCcz8ywgapXQea/JERpm2RgSYfIj5kne4LTf7IENPGyEiT PzLEFrIvI83+yBBrpXYdafZHhtgg+zKezT5hbCG163g2+z5gk7ZGRlr5E2Os132h2Z8YY9oaGWn2 J8ZYq/tCsz8xxnqpXUHima6cCGPLSfZlotmHiA9ZK3eKiWZ/Yoxpa2Si2Z8IY8tJ9mWi2Z/OMKZ0 0kSTPzHEet2Vs8l3iC01XzOdTb6P15R0V3zyp8UZxGRXfO4h4ZTFUtsik889RIiySHKnaBY++ZBx ziIFlM3CZx8yToppwyqz6xWWWcTHLOBsFj79kHHWImlzpFk4ACDjtAWoaTXQzcIRABniLSRmmoUj ACLOjaWl3C+axRkECGgBb7M4A4GP2tQE3SEUINxlL5eWUs02xPVNDYNNmyUNkX2QIbQ1ctNoiO2D DKFNGyYN0X2QIbSNQX8IBpDxgdP0TdMQDBqGWxf0h3DQMNwGqW2bhnDQMNy0edI0hIOG8dbJvaNp znBAeNMGSkOsH8bah21a6P4Q7TclxpvmcRri/SBDym3Q/SHiDzKEt4XUuk0iHCTGm7ZSGqL+0A7h bdD6IBEOIOMDp9kcBN9cJSbGWxv0h3CQzvAmtVsiGCCk5++20N0h/g9DYBqkTa3eSIgAhAzBTdsq DVGAWcY/sjfEAE7M/SdN6TQtgYDJ/2Uf9IaUAbP/oyZ1GkQ3bY9j+j/Y4ogFRHcIa3Po7lsBqaYl DDD/P2qDpWkJBBwASDrE1BATiHejrVQTOw1RgZBxsI2T3heJC4QMgU1TOw2RgZAhsAVWC7GBWcY+ YxBpIjpw4jBACua0IxhwHGAZxJo60gUcCEBMXi6FjnDAoYAURJuIEkR/CG9BuIk4wSzj4xbYLUQK QoZMNx1waogVhAzhLbBbiBaEDOFNh5wa4gUhQ3jTPE+zJHXQMd500KlZnuHAhm0ag5j5knDAUYEU 2C3EDU4cFljquFND5CBkfC8dA7uF2EHIkO2mQ08N0YOQIbxpwqchfjDL2MAhFUWuBWIIIcN40yK0 K3BwYBmYLT3BgKMDo44/wbbxXeEsPKBJn6Y/gwGpN20dEUuIEbBBm0bN+jQ97QpnAYLAaiGecOII AXJ85FATUwgZRpsWIX/xLESgw1ANUYVohsCmmZ9mIBRwkGDUgaiGyEK0Q2DT3E8zEAo4TLAM7Bai C9EOKTcdi2qIL4SMKzdk6uixPoMBoU1HoxpiDNEOwU0TQA1RhhPHCpAZJt+NOEPIkKOgA1INkYaQ IbgFhguxhpBx5dbokFRDtCFkCG+B4TISDjhiMAbcCRGHaMfx1mgmCMl8rnU4aLDUYamGqEO0Q3jT cSkkkHI7hLfAcCHyEO0Q3nRkCl3ldghvgeFC9OHEoQMkNUq8EYEIGcabFqFNgWMHo45OAfHeHQ4e AFO6HdoUOHqwDOyWiWDA4YOoGdIGHD7AslKvhtxa7g6ZbjpElZhE5ADCqKkgJJpyO4w2/WpEIo4M Nh2lSkwiQsY+o7ZaEpOIHEOARtbvRijgIMJSM0GJWUSOIow6UpWYReQwAnYl/W4Eg7M4gjZbErOI HEgYdbAK6cE+pRxJwG4u341ZxLNQgg5XJWYROZYwaiYIRje/G8FNB6wSs4gT401HrFJzhgOD2zRq wyUZi4jFxwEFGHV63Ko2KDKk3LThkoxFLDK0meqoVTIWscjQZqqpIDitp7EuMr6Zwv6X/TEWcZax gRt14AqOO7dDm6k2XJKxiKUdV2+dDl0lYxGLDG2m2nBJxiIWGcKbjl4lYxGLjG+mnWaDQPrwGNiw IR1SbozJaES0w1EFTfYnYxGLiMOt03ZLMhaxyBDcdAgrGYtYZAhu2m4BXehDwEEF7c8noxFLM+SX ai4IfCk3Q2jTIaxkNGJph9CmQ1jJeMQiw2iTi8doxCJCYNMhrGQ0YpEhsGkqKBmNOMsY2kYdwkpG I0KGQwqNpoKS0YhFhtAW2C1GIxYZQluAaqMRiwyhLbBbjEYsMqTcdAgrGY04y9C4SRIgGY1YZAhu OoSVjEYsMgQ3TQVhoBzWHFMYA8PFaMTSDuFNh7AQseR2CG+B4WI0YmnHhm0adQgLUVtvh6MKjeaC ktGIaIejCp0OYSFwze0Q3nQIKxmNWNohvAWGi9GIRYbwpkNYiPfzu5F6CwwXoxFLO4Q3HcJKRiMW GcabVFXGIhYR0m46hJWMRSwyBDcdwkrGIhYZgltgt1ii4SxjeNNWv5GIkOCYAqJhegSqhVhkSLnp EFYyErHIONgGTQUlYxGLDINNvxrpAg4pdDqElYxELM041obAaDESscgQ1nQIK1m+YZEhrGkmKBmL WGQcbIMOYeEYpa8dDik0mglKxiKWdghsOoSVjEWcZQxsgw5hJWMRIcMhhSYwW4xFLDIENx3CSgPh gEMKg2aCkrGIpR2Cmw5hJWMRiwzpNs0EJWMRZxkft8BuMRaxyBDedAgrGYtYZAhvgd1iLGKRIbzp EFYyFrHIkHLTVFAyFrHIEN4Ck9dYxFmGxk2rKmMRIcNBhUaHsJKxiEWG8KZDWMlYxCJD6i2wW4xF LDKENx3CSsYiFhnCW0AGGYs4y/i46RBWmsg24KhCYFIZi1iaIbgFZstUWcQiQ3DTISwcZHH1dhZU CMwWy0Us7TDc1E7SGos4i9CoSSoIx9b91c5iCjqE1RqLiHY4ptDpEFZruYhFhtGmu0ObwllIQYew WmMRSzMENs0EtZaLOMv4sOkQVmssYpEh5aaZoNZYxCJDaNMhrHZBmwKHFAYdwmqNRSztuHJbaLul NRaxyBDadAirNRZxlqFxkw5WaywiZDiksNAhrNZYxCJDyk0zQa2xiEWG4KYNl9ZYxCLjym2hQ1gt s4gcU+i04YKaEL7kOKYw6BAWij+wjONtoamglllEPpTQ6RBWyywiBxUGTQW1zCLysYSFNlyQCMf9 IbzpEFbLLCJHFQZtuLTMInJUYaFDWDie7+/GUQW9KbRMInJQYdAhrJZJRA4qLHRsqWUSkYMKnbZb WmYROaig96uWSUSOKSx05k3LJCLHFDodwsIS45GmvVRTQS2ziHxCQYdVWiYROaTQ6RBWyyQiZOwz aKulJRKx4ZDCQoewWmIRIUPKTeZmt0QiQoR0m45gtUQiQoZ0myaCWiIRIUN7aTDURCJmGRo23R8i ESFDuk1HsFoiESFDe6mOYLVEIkKG0KaJoJZIRMjQXqojWC2RiJAh3aaJoJZIxCxjnyGwW4hEbDii sNARrJZIRMgQ3AK7hUhEyBDedASrJRIRMoQ3zQS1RCJCxvHW6ghWSyRilqFxkw4WCi6Z1oEM4U1H sFoiESHjeGt1BKslEhEyhLfAbiESETKENx3BaolEhIzjrdVkUEskYpaxz6AjWC2xiA0HFYIlRyQi RBxu7ddmC8oseYWl+YdSlgn/rJWavkQVm37IFZt++H9RsSlBrSmXpfpSOHJzE7idJ/jhANBNYPba t5BWJ1usLlJ+lg5vVcA3C+zMUhFXswcHrW4011/dXxyPudGsTDVxcSDmRttN1ahtWuS6ywVr/gwy 9290cM1cGCTe3/RQGv6R82XpMB0ScpEHYB85SObANB38F5n+YT4LsrKDSTY3pelB/Uov3TwT5Pbe tKN3TGtGc0yQC3ujFZv5IvnJmpw096O8pxpOcziw0G8CasOWSY+jFKi4Zh856uZi5CfLxWBORX7L gG22RYP2g8waWzVLrAc50+YtICf8JgjJ2rrpYRpe1mlbREuYRZeJ2IpaQgPJEIq5BA2eHDEJVQdh 1AMyxFYRvian0Gz9Ag6Zk2LmfZPBMRo0kDShYGfmfYZ64NuafhugBeVaMyMe6bbRENrkjOEQ2oSg UR1IN/McOaSYatVTs8gbHC7UbqIZ4cguvfl6p82lCecihGZ3I9k1GBAztZsx7/ry3Wy5oAvaTySD GgaBTJdxGxobmw5QudmMr2kvyy3lhFxrudG4cYyNRiLUzeEWJyX0w+qqQFLBjY6ZutGLpagjFm7n tlhjutE6CSlvOxLjbs22MM7106rOSh3Oe8mZd5u1A/ehn1aXAjJNgpl3y3TIwV0FNzdGR5z3kt+y ScCCkWDzsDUWgna4PFKNZYVz//7R7df5aLXvZ+dbQAxCGftTNc1tkWkQQjd6iKqKAqsX6B47xIJs kRsd+/GQcwsCQQ24B5mBej17HlfOe6ucGA8lQ7NrneLR4yX4R7lwPWDcZ5dUdqHuE0iBgMtyyXx4 iHjApiUfXOcDYfUbnXnhcWC8ptYvHvodstN3yWt65HeAfhsuErEFhJ7JefJQ74AgBehz+8hR9khv Pvpx2bvUxZSwTHXg2WO7+XSifueq3BBjCQxki+CCTo9moyo3RAQCVWlxWhBLwfKw0GyLJakJR4vG tlC8mma1ACxYwEC9WcwVRBkYAYViC7OCr9GmuEVWs4bSesCCqaCcg5Vr8VNwnzc6GmMhU3DeWi16 xRYwGjc6iaOx0GgLtaLXq5dmAUsUTENjIVBETCJfy05PIDIJV0FNhJddCTYXL7SSG0ViuX/k0vRC K3kc9YbeWECzzfZB8DxbHFDjWtt7EZV2QAKM3FS9cEr+niYhvVgKXOZgA/QCKS1Uqc5cRQLGyR9q R2xH0h/xQihg4CKv3tz68jzpYXrBE9BmgTrwIid/b/zqfCBsFDA9XsykQ6xWW9coUX8alw4kn1S4 XrOkQ76n5qiRV2WPgxuv8W/xQISYAgvb65HkbugkGuSa1XYTTEo9vRbs6xpYqBr2FuDLwyyttMZi el22//T3zGnvstGuh8WCdx38Ex2m8NohSNuIZtcc9w6rXGd4eJWQDpuWpvlx4UEdZmxHOhfMq4F0 8Iyi79WNPH8voAct0taBudORPy/1gQTMSE2bz95hewi0nzntXTZiNVzMa++wLWk73Et3dJkL0zgw v70DkaFZ38bCYvn9guVhnnsH+0DnYTXmuuf50HmV4E8rDrBtBt0wZdVhVWrtYs57ng6dfYETELVZ bB46dc+raeCGj2gZmQPfwaoPlqV58B3spkD7WXSqA58Y9de01RBR7I1FoTpsWjrS2ZgXD6Ix7G+d jyW0X6BezI/HCX1tJ3qBiyWmV6ckeFGLJaZjgWKM9tHQMb9+iRWloyNgi0+QWIJL0IQw7mGx78Ez k3aZOfQ98oV1Ir8Xqeixf03JOhRcdNFYfnkPHiiwSc2p76Fku8uebR5+jwWuu2cufr/M1XnotbUF Y/5+38NT0ZadOfw9QK05Wq86gTgPTAQ3agNz2dz/HvuT9m+80kSfF4zW1+b0D5jmYKFaLjhyqKIp M79/wJTpMzBeOWIYc/0QCUPz9odcYVGPueV25/cL5sac/BHnFwOr2zx7HEQPqFuv/jCOqLojgzqN +fMT8KbTEVGU4LQ6ER8Do6DHpe47EygqTS17NYcJik6H372CA6p8B4rOfHoQL5FTYE49DlxFr2de PUp25vQxWoey6+biw9WCjaHXuDn58LXiL9ZdCKHlEGXm6cPbykXKLnrdOlPw5KAO9JSa4z8BwnpK 4f2eIILuYy1KE59qKyBpNmiZCirkeFVPMeTg4dW/gUeELV5qGCqjgMMh4KhczQUPr3sU3KhcGENh IVnWc4PTEKCFLpgQqp2AnLogOEYFE5BgftlsJ0t1blpYUtqyoCoJyKEM8gaoNEIm7/TGniyTGWMR N21T18IM0UY/VT5oQVZqK5jKHXTYGoND2kYWwEGBlSL1vhc2gAcFB0Eq/uSx/w4gD05NefS/Q1hJ pyl43QKc+8SCldgzwgDOB3Sr/l5ln+H0QLtoMBtlAPMe6Q7SifZKBHgivA69jixxGF3BdqJf0RQg 8tQDtsLrDMDxjhS7Fxco8xcoKSMOsNQjWtTrCOAqwZz8KTtj1AHqvqLTemIs2RfkCmqyaYwZeQBd h92b4vl66D0FACs40o/GJJQ9JQCwJfNir4RPqmfTg/9wMQJSBLq17iRYjoEX7if+wR7mAw9y7I1O QGeAD/296r9iD0dRMz2Zxieg5ez5XbJ7eErAYogi5cnIBbxEZg0uenjdmqYwQ8AP7k+Yfm14+WF9 pDwGtLIf0B/hZwXWgWUJZINU50UnYxpwI0JgkPrhexSFjNaI5cqOWEvSyPEz9qgGFIQZ/Fx9tr91 DpCfpc/Dp5Mi/Pz8lPkwGRfCFaanJTEhcC9NSz8mP8Fg1OZ8sqxWxGuwcLS6MKIBfjOimnLhWMYA AicRw+En3/FFeDD6gWYMZCM5GEHjF7C0MXUXGYnGNWD1Yl/RKsvYBhjJqA0ZjFOdHygO6APdLVdt eRPXGss4Brxi3p0vsSCNY5g9ED24xjLgi7mgr3xdoxYwCblSrv6iT1eoYC2bAHEXeCrBK1Z9lu/o jebfTp0jQoMNTUPUKAX4O3mt0Ud3y6cLDuOSk0O1TOXwEKrCeVRPm9e0iB81R+JvwH758fLyvcDY MN4B5guIJD1xRjzAhgjNF2Me8EVkCOilYEfGMc6hH2jcw2wQBe9oiwvbzY1O8EfqQjUcMKKRPWDH wOGTYBlSHorul6UXIKiE3IeLfDrjJaCb0M7iEswZR4Ea/LkTF8nY8ssyelU5R4FqDZf221YizhlH S9bSEkBCwG7Vu5TTFS1SWgL1a6kJ2QYKKEtQsHXic5xPql8/xA0PBUiSis9PbqNlLGI5on5cu3hl OnHGz2jDVEUsQ+op5BvUviyhSrWJ5sexkWiM4KEcbz+DDY8wYlP94DWM2lyEXuk4P22NSA7s5KBp m5hlJtLkGvdz1RgebON6ZugkQh8lFPoJalAe8MD1O/qpg5ySoYlxPysNLzOIxfv5aJypANmvh9Fp h4zvaHRcA44LOSvOOaC8zmX+oJ99LuyMZgH8wDP8XFjmvH/KFzIqYsJUBSixEwgjyjUHq9KYiAmA 13SOH2YeExSRBp3xEAMUlj6V44eWB+TT6aw3P6k8gmTTW6SfTp5wzifAupEQ+Xs6ldhPIaOg+k10 vNfc20W2PrVWcwpikeMqegSdgljk3GkNdecdFvAkLuJy/WgxrM88P/SRkCM2IhuYl+zSfrS4mMM6 bO3nibEGQEzofcZOEcMoxT6rh8WJCWz0YFEvcPX96DCS3iJfqyWSAkQxr9jghcySmCMfcqCdpMC9 Ktrk8IPBGAosWkl7+WlgfDEfydEtuzIEOC9i7v0IcCHkYT37R7djexcWdpAy5+d+sS/kSxTkEy09 AuwjAhrS1vQTvkj8wY6tH2izlXlPfRLNj/LCeEWqol7QliEBvyvne18CSDvxUFxwTYr7oV0wm7BY dLfcjkcqb3CM03kMMCQXItwoDdjk+QYt+RbOabQ9VJYeMzuIC2MRNUe+Mu2C07f11O3Tw35//HD1 abV9ft1cP3uRX+lpfcj3NZ3+s7n/PP+5zX++u90f7teH+TeL+TfHz/P1Tg+r492H9f3V8cNh//H9 hyvE5Wi1z996evwZD1/dbndXv6HFCZwNbM7V7dN+u7l/vdluyw+H929fbWsji2HxqrT07Oxr+Gm7 m9+3PPPu9mF1+PX06l8e3u6380vu9rv1qWP+hXr4GIeTy3nku9t3L/7w5mdkHPzhH757+d3Q3eL/ EUrIw/Eu985PMeMX+wO6+mp/v37xp/VufVhty9f8t/j+I/7+cXc8jRwyVsrY1SNaFq/EpTfY4+o5 +hQkY1bLPEvADKqfC44jZwk/3T8Fewe3Ud8JBUA0Z2r+Qm7DT/b3ets2j65IuCrUi8ECMVnCT/Wj HqFaPqaks0QdKPxXH/a0RZ8l/ET/pPOqTEFnCZtAjJVc1H7cOYv4cf5eHyFyh6OI+Gjpw0we8sxs PEFLWwLuhGQRwpYmZy1jGtenILrpRFOQP0Izz2Vx4C+oeXQfJbfi8II5IUVo7iFCIyZ3MnddcisE ML2neeA0izjCgit7/Qx1FmGIqa6YB1PGmCCmjWdzZoqIQyy4stf8mlnEByygM33Vg+pniMmu+NxD whEWXNlrSduwl0Ar+Uxq38vyt4sI6a+APPaFj1YYYbIrvvCzBI2XVEeW4F3eiwAWGJrmLeXeE8Ai j9K0N0QIYBL47kDlRghgOtnaXaksQgAL2KezuffxCm7qdUdqAiVNANNxfQ/wZhFCWGAS09zDi/Cp 1Ll37lvlVghh2vF1LyuLEMK0j26J5cAL175BvppCpbtbWYQgpmP9HhLOIgQxnaLuflcWIYhpI8SS 0EtfCGNB6RPf8NEKYSwwQ1zrZxH/sP35eMx2XLXALEsdL8ZFb3CIWQ4yLX0uerPUSZ0WUi6tEMb0 aSl31PKLEca0LWKB5tIKYUzXXrHs9lmERkw6v5boXkQIY5pQdo8u94UxpsbY/bksQRDTOdEWny7v RRDTtLTlxBcRgpi2Rdzdyy/m4yUtEff1JtyqSkpMh87c68sipMR0MXP3/7KIAyy4jtey59H5y27j 9Th3liB8acLaw9xFxMYruIvXA95ZhPClKQM7L1+6QvjS/IYl2hcRB1hwEa/Hw/OLEcA0o+Th8CxC ANOmiAfGiwiNmPQoPEQ+ISxIENO5p5aIj+5feAevx82zCEHsghP5pRXSYTqNwWPpuRXCmC4C6lH1 IuIjpo0Ry9kvL0YY0/Sxpe8XEcKYNkbsCH8RIYzpOiCW1F9ECGO6lIrH2XP3CWOaRfaIexGhEZOb nsfecxoOYUwbIx6FzyKkxr6mp3w39nh8FiGMaWPEjgVgxHAcxz5I+lWbi8foswhhTJ+282h9EfER 0wflPFifRRhj6r08VJ8lCGLaFvFIfRYhiOlQlx8syCIEMU3WeMw+izDEZFfI2s/VBuonuG3XY/cT QnCEMH3mx6P4WYQQpuOYHs/PIoww2RUy9y69adcPIuRWCGEBYWPlCABkyNQRm6Kbdq1Se5EhjAWU jZUpKDKEMm2QIEXLncpLb9q1Uu2lHccZCAY11F7NoMgQ0HQioVczmGVo3KSb5JUNIJODi1VrRDft +vmFLENg09lACOb5uCF+Y5M6asMEgUaWqW+GAho6S8UrIZT+EN60aYJACbdjrzZFN+0S34cxcLxF N+16DcQ8boQ3HWVHbJPfjdSaLlPuVRTKGNiUouqStM0R5uN2CG9RdQrSB0gdss+oLRSvtIB3Y6I/ ummXeL9Lb9ol3g8iBDddZsirMZRXI7jp7Ckky/mwMd8f3bRriQ6lHYab1AbM/THlH9y0i4Q1fjVC m66fg3gsyxDaNJ3jVR1KdxhtsjvM/zHxv4yKFZAygIx9gpt2vfADXo2p/+CmXaTL+RAw9x/ctOsF IUo7hDYdWfLiEEWG0KZJHS8UUWRIuWmDBflW3B9Cm44vIVOKZUi56QiTF5Mo70Zw0zEmRGi5HYKb ZnaQ38AyBLcgzsRkIM4P2Y61DAJNzAZCxj7BTbvIXz+9W64+xJtpEGoyPrDI2Kv1y8BwsQIVRYbw FgSbrFhFkSG8aYbHC1cUGccbUCTXtp0tmWVo3KQXgpRJHjfCWxBwMlawtON4C27a9UoXRYbwFhgu xgsWGcKbDjo1RgwWGcdbcNNuY8zgLOPjpsNOSGn3ceOwgObrvUgGmuGwQHDTrhfMKDIENx15Qolg fjWCW2C3GEFY2mG4SbQZQTiL0KjJ4JMX2CgyhDYdfcKRZ+4OoU2Hn7zYRmmH0aa7U53FIkJg0wEo aAx+NQKbJn28IEdpx0ZtCm7a9YIckOH4QHDTLhLz/N04QNDpIFRjTGFph9AWoNqowiJDaAvsFuMK iwyhTcehcEyG+0ObqeZ+vIJHaYfgpiNRjVXwKDIEN83+eDWPIkNw07GoxgjDIkN408Eo2E48BoS3 wHAxyrC0Q3jT4Siv/gEZDhcEN+3i0JG/G8cLgpt2UeuZZQhvOiIFs5tlCG+B4WK8YekP4U3HpLxy yCxjAzcGhosxh0WG8KajUl5RpMgw3qSqMuqwiBDcdFzKC40UGYKbDkx50ZEiQ3AL7BajD2cZHzbZ G2MPIcGBA7gQWoZAwJGDTgenwFw4cDh0ENy021iJkvJuDDb9arQncOwguGm3MQqxNOO6LbhpFwQW d4ewpiNUcA9YhrCmmSC8Ecs42KKbdo1FLP0hsGkmyIucFBkCm45S4fwiv5thbYpu2jUWEe1wDAEc hJrTZCxikXFHodOXWXjpkyLjui26aZcvfOQwAnKQ9bsRDjiOgKIXWoZwkOvT1Q+KPUkZYxFLfwhv OlrltVGKDOFNh6u8TEqRIbzpeFUyFrHIEN50wMqLpxQZwpuOWHkdlVmmDts06INxyVhEyHBEAQeJ 9VhX4qDIEN500MoLrRQZwpu2W5KlDhYZUm86bOXlV4oM7aU6bpWMRZxlfNx04CoZjVhkGG9y2Cx9 sIgQ3HToymu1FBmCm45dJWMRiwzBTZstyWjEIsNw0905Q4EN2jRoKsjruqCZs5iCjl+hPpRrUY4p BDfterWX0g6jTXbH6r4UEQKbrm6b7PxVkSGw6RBWMhZxlrFxG/TJBZwN5yEgsGkmKFlhmNIOoU2H sJIlExYZQpu+HycZi1hkHG3BTbteOabIENp0CMuLyMwyNG5aURmLCBkOKQQ37SZjEYsMKTfNBCEP zueHYwpDYLgYi1jacbwFN+16xZkiQ3gLDBdmES+8aderz5R2HG/BTbteiabIEN50CMur0hQZwpum grCWeawJbzqE5dVqSjuENx3C8so1s4zjLTBcLLkQMhxVCG7a9ZI2RYbxJlUVk4h8oiC4adcr3ZRm CG46hOVVb4oMwS2wWyzDcJahYdPdIRORDxUEN+16ZZzSDKFNh7ASk4h8rGDQVFBiFjHXz68fHVbx 0jnl1QhsOoSVmETkkEJw026yTENUauSQQnDTbrJUwyJDYNMGPJGIaIa2Uh3BwjEVW6OQqWOG88+a CEqWbFhejcAWDbXrArRDjoKOYKHwBr8b6bbAbCESEe0Q2nQEC/fbcDuk2zQRhGNaLENo0xGsZCmH ZdwIbpoISkQioj+2Rqfgpl0cbPN344hCcNNuIhIR1YEIboHdQiQiZAhvOoKFyqD8boQ3zQR5LR+M Gx82QAknqamIRMwyNnCD5oJQTJPfjfCmI1iJSES043gLbtpNRCJChvAW2C2WfVjGgPCmI1golMr9 cbwFN+0myz8s7diwTcFNu14kCDIcVAiWnCUgFhGH2+9u2vVkymQZiEWG4KYjWIlIRLwawS0wW4hG LMeZ66QG2sCSEMurEdoCKohYRDRDaNMRrEQsImTqi/U9qrbKlWCJiOXdGG1ahDYFlN2wYVvoCFYi FhGvpkt6eGWh8j6ESm3eeJWhWcZgOeg6XF5wCDIcelhoyshrDxUZgqUOdXkZoiJDsNShLq9IVGRs fPF7OY9enKjI+K7b6lCX1ymaZWjcpCfmJYuKDOFSh7q8elGRIVxqygj3mLl2wmVttmgGHerymkal HQKmDnW1loBYZAhv2sLxSkezjI+bDnW1RB2isp8nYS40Z+T1j9AORx9affbKayEVGcKb5oxaog7R DuFN6zTcDOfzw+EHlLtWigPJiWcyNG4ab0QdloqI9e0WOtTlpZPKGDDe5KsRc4hmCG461IWaVNwd gpsOdbVEHaIdgps2cLy6UumOjZquDoqqKP5mHHtYaPPGay6hFT7AgFocetQIBHyCoddZz16LqbRT pxMuhQyL4NY97g7pNn0Uy0s0lWZMfUy9voMLWcfcDuk2HepCoQiWIazJCAe6zCKOtV6XYG+JOMTs ENY0YeTlnMoQENZ0pKsl4hDtONZ6XfXdyzmhHY48LLR545WdigxtpTrShVshfNz4NEOvzRtcEsky hDYd6fJ6T+XdCG6aMPLST7OMDVyvI124Z5DfjeCmI10tpR9irAlugdlCxCFkCG860uXFoUp/CG+a MWop/TAXYbZJxYWeUoPYieTSjg0b6tfpbYSIw3zxhb0cNknZDqUfQsZercdLaxlSB3yeoQ/MFiIO 0Q7hTUe6cPWo4wDl5OzlUIpKv5sHEtAOqTcd6Wop/RAyjDfdDPmIfJwBeNcytCngAl17t15HunAn KQ+BzSgs+2B6SB3gaAINm3w1Ig4xAoQ2TRnhWlV/tbPQg4504ToNlrE366H2zt8tqFVVizXVmlXf LNr0w3fN7Xc/fIcG83P/K2o2JVGzCeXO5OqqI4RTNjfaPK9jUuqL693xNHI4FXOjzfaK/vwsrf2r FYTrfILibxXiuZC4NuArqFHKLrhpo8I4X/Gjl0gFbr48SJvLlgiBXP3oKkgbfdQtxw1i9DnHmnMl Xi4Jxe6ogDvShaVI1VHl4gc5e35kCner6Dpyfkqqh+8gDT/zS5DPi/Kq1DO5oZhbgvzXoD6feSL5 ydrkMOcDib4a/l7lCIVatcIyFyNfrrTka97kqJuHARUStG9zg7fUNqSfY0L7Aa9uqyZXIpUzbXkG SAOP6p3busFlLSh75x/daVtE+QrUy0RsRaHMYUT6VOWCJ+tIuLkBedR1MN8s//w12Rsz9vO3tHox +76Ag26W0UvS8gIy1HVs1iz6Jl+7JdeaRf9zVf9gCG1ySh13pS7MVM+NanbMrHOkjQYVSC2Sn4v1 ax7QgvdIKA1uMDCzu8mF8uSAmKWN7GEYmaqnZlznLmijlY7zIEleGjVuQmNj016nW805QqDfrS4L ZAUFA+K2MTYaqVn9MA5qN+sjlm4A53t6pAHrNi+WovZDPECeqx1Lm9Mt27ztyCn1szT50mn9tKqz Ur4JXo6u26yotK7zD/yUTBfNvJumuHBGw82tUdzuKnvg9mcuWaWg67FqLASd6OThaSwrKpiMIyLy yXUPAWUtv1PtLtCCUMa+MWgiyKLRYIT0HeQWf25Tvq1Ptm+LAzeoao/Oo8yo/Swf5nFloF7PnoeS 894qJ8ajx9DsWqd4wBg3++ikGY8R4+JgnTPmYWGYRLhazT+617ZQUPpbLnWPA6NIu8aMh37xmlq/ WJkZFB2F0+dvqWHjwV7cS4ALS/0je+axXvRMzpNHd3GtxoAsEfvoB1fPJaE8QHfZu9TFhEgqCqwr PHs4F4VxdIDNIriIsAQGsh39yHWug9moiwjxgEBVWmwWvFKwPCwc22JJavLDIrAgloK7wyzqChIw UG8WaM2Vv3XKgMVWQddoU9yiqVlDaT1g5zBAOQcr14KmoD6Da1vstAVIb60WsVRO1i8ojeAiQtwm W78HtaLXa2PlWFpcu6SztVA0vz4Pl3gEvpYdmEBcEq6CwjnuMavP05uL11bJN4cgl9w/cml6bZU8 jnpD93oqYHADawOsQ31RqHGt7b1uSjsgiCI3Va+Vkr+nk2i8Pgpc5mAD9JooLVSpDkfjAEHtB267 0OFk3BlRv4e6SYFXb259m58nFZrXOEHaR6AOvK7J3xu/Oh8dlJV2xbx+Sa4ur61rHJY59bdDSoPc JHB9V/0azjgGVQIsNNjlyKDGv/nxHSI02sJGyX9rF8XTpR2Gi/bq93CpqQ6LeLGR/H56t/UCI3mY pfXsNUXyDVLay8YFg/X1stGuh8W89g7+iU6z84Ih+UaqYHbNce+wyr/mbYlLM8+9w6alo7heDKTD dqQjPF4ApINnFH2vGl/5ezrzxgt9dPkGTa39zGXHAcJITZvP3mF70L6WF/HoshGr2zWvvcO2pO1w XCBWcZC5MI0D89vzvVY6bR9Xc9nz8p2vcrsxz72DfaCjK7jBqz4P86GjpV5wA4f6tNHcWJCrw42Z UX0IWx75ek+tTM1977B56ICc18/o4AYEy8gc+A5WfbAszYPvYDcF2s9c+A58YtRf01a4eE9T7F4E o8Mmo/NYvPAFiMawv3XzWOb8EEn3wXE6wWAJcl+jyvz4JaZXB8a8kMUS04FrnP2jV4D59UusKB0d 8eIVS3AJmhBuLNd8iRUVNFtnpsd5V52d44Up+pxhgIQ/+wTPrrRjDx4osEmtGAVuKQI67Mmo5CgX uHn4PRZ48LW62/e45R1VL/yjF535+z2ur9L0ldec6AFqTUl6nQnEeWAiuFEbmMvm/vfYn7R/47Ul +rxgtL62VPAB0xwsVHP7h8x1aKvW/P4BU6YT27xWBA4PR9aqeftDru+v2zUXP79fMDfm5I8ophNY 3Za2nW+q1tSt13vIF3MH+4758xPwpo/TeV0HxMd+dxcS2Snm0U+gqKL3q4oOlfeDK+u8aMOEOy61 ojOfHsRL5BSYUz8hsBC8nnn1KNOZb1TxZSiZa6/IAFcLNoZe4+bkw9eKv1h1HZy8EGXm6cPbymW0 L3rdquzgyUEdaM/CHP8JENZjBu/3tCeh+1iLcvNCDo59ESUVdcteRAFhemzrFEMOHl4NOHhE2OKl hklGBMDlyByVq7ng4dWaQ3kFkNnBw23mcAACtNAFE4Jrleuw5It2dXAsLWzmkF9+2WwnYwlQxi+y uBLlA+BCaJ034NUQ4OtgzelB8zwAHG4JjBqvewDvJAqweLEDuB3wDoKmbb46bI3BEQ0jC1B9EFaK 3GuTR/7b7CBIxe8FDGBj50KbyjDwqgXwFUBAaEx5AkCXF6x8oBEGeCB0q/5eZQzg9EC7BA3bkkIx 0sCJ9uoDeCK8Dj0vRhqgBBO2E/2KtoyQpR6wFclLlGYwBkrK65Lm+QuUlGUDY6lHtKjXDoCSyocX ZWeMOpgvRtcT4yF/HMMNjAuvDQBdh92b4vl66I1IALEUEbReEKDsKQGAPfS/gG2lKyr70X+QqzhQ q5eEVw3Fcgy8cD/kD/YwZ83JsTc6AZ0BPvT3bGsCt3uj8/X8CD9azp7fJbuHcQvggKNIuZ/bx0tk 1uCih1dVl+9A0wapn9WfMP3BuT0jGpDyGNDKfiZ/hJ8VLDxjGrJBqk+9+Nn7CSpEG6R+3n7MuR96 Ri1TYMRakkaOH6sfce2tDjMkIxqy/R3s0UY05OGbgterGm7KfJg0LnEP6sk4mBC4l6ZlsmyBfIdY NHrV/Ea8BgtHqwsjGsotBXr8jGnA2o4YDj/uji/Cg5Er0eiFYiQHI2iJA1jamLqLjETjGrB6sa/o DchOs8NIxmGAYJzq/MD4hz7Q3TLbrVjdWmMZx4BXzLvzJRakcQyzB6IH1xIJ8MVcPE6+rlELmAXg Tr+uJRP8HQVr2QSIu8BTCV6x6rOyTwXzbxkFiNBgQ9MQNUoBI5/XGn10/3268u3VnByqZWxtoawu so4uacfyDZD4G7BfyWiH8r3A2DDeAeYLiCQ9cUY8wIYIzRdjHvBFZAjopWCnxDHOoR9o3MNsEAXv aIsL281NdEDdpgvn9SN7wI5+I46UkzQv2WEtvQBBJeQ+XOTTGS8B3YR2+LJ7iR/jKOCY5k5cgh/n K7KMXlWWhoBn54M9F/XbViJOz0VL1tISQELAbtW7lNMVLVJaAvVrqQnZBgooSz/PjYAQHHM1ttgc qo+d43Ja8fnBbbSMRSxH1E9rw5WBnpZWvR/RhqmKWIbUU34uu1nCVtUmmh/GRtlzBA/lePsJbHiE EZvqx65h1CLpQJojftYakRzYyUHTpgyXmUiTa9xPVWN4sI3LLcmPUjddHyUU+vlpUB7wwPU72qFp 4DZCmZ+UBuURxOL9dDT4CZD9ehiddsj4jkbHNeC4kOj28wYoqXOZP4grcOqKyOyMZgH8uDP8XFjm vH/KFzIqAiftIpRY8sJYLpDSz6tMxATAazrHzzKPCYpIg854iAEKS+dq+KnlAfl0OusNV5SfBnME yaa3SD+dPOGcT4B1IyHy93QqsR9DnhBVCco3OAWxyBSS1mpOQSxyXEWPoOUvIAELARMNdecdFsjb uYjL9aPFsD7z/NBHQoTYiGxgXrJL+9HiYg7rsLWfJ8YaADGh9xlLc4BRin1WD4sTE9jowaJesCH7 yWGMeeRr+XHh4g/wig1eqC6xU+RDDrRlQMAzgN2tv2fmA4qdB7kDfhgYY5aP5Ogn1lWG5KN8/Oqi MSPLEDjNV8vUj27HVCMWdpAy19rRBuwL+di8fKKlR4DhRkBD2tCtsRa4EQg7tn6gzVbmPXWJqNZ4 CxivSFXUC9qIC/hdOd/7ksG1Ew/FBdekeGssBmYOFovuls8WUnn1CT/sQrZ7AQqXIdwoDdjkINz1 JDingeoUv+O9g0O19TDt08N+f/xw9Wm1fX7d5BOvkHlaH/Jd2af/bO4/z39ezAdi94f79WH+zemI 7PFz/vqnFz+tDncfrhA7S1ffX71evz18XB2+5J9pFOfvPj3+jCZWt9td/v+n/XZz/3qz3ZYfDu/f vtqeGnj9Os9tea2zrz2bRfO7lifd3T6sDr+eXvvLw9v9dn7B3X63PnXKv1DPE3/zHPFLHCFub7/D f2YC8D9/khhJoxhWjz9X8z6PE8L39RNU9KqEb5GgQjbauqhhkyJBZ+91Na+6SIsEnbyXWrimws4C VVGh/hlN9vmd61XJFgk6dK/VaCUei0QdqLCKV1W7RcJP3OsYYV3FRYCO2+s8wrqcZwnpI1mQsnyP DuVrp5MrMPEl40H1LgtcopULi3eZK1FECIBfbwqB9qhLqGqRby6lfBofSwn/+b+9lOAAow6wnoqq gFFsMArF2tfAg2jeqq6UEgHWyeJ1fcCzi+ziuiiKD6/Jy7oSSjBS27oV/qCMpQtWEQ+TSO4rFePI 1ZXPMYDjQZJSMEjnAK7aSw3EmUKRX7JxhwV6/qUAqBWgwTZ3/+Pb7VPZ7z7sf/tx/X69u//X9Zez Le8Jf/nr6rSnnLbB/LtXq+P/WD2sf/fdN+vDN3//8/pwt94df/f9Hz6+fbtdv9n8jR+FXtmrrT7/ y/0s1eGoD1iccd5Tvvr9AAL0tIXfrY7H9eHVh9XhWDbn1fZl2aW/krAnPd2ttpvd+/zd/WGDl1wd N/vd3ObDZvfT6vPc4sPqZA1Ae5w2Nvx5/h5+ZSaEP+5+vV0fuWN3t6vPP++fZpm382OhQF4/HK/e 7Q8Pq+Or/f36+fWf1rv1YbW9vnraf8Sw/bjZ/bq+Pxkpeb//X/vDL5u7X2F0/Do/av/xeHrHze7r v21285+OkMB8W/O79efjL/vT3z7PRsnb/f2Xnw9Xh/3x+fXi+urT+oB/fNgf/pa/BsPj6fjm+GW7 Lj885t+cjJn79bs/Q+7pb3hJAPn66m2R35T///j8uhgjV0/Hw+ZXdG+3f1P+ha+tntYYe/wumwZn dg5+YHNoNnTza8AAOrOatpiu3dXxy+P63eoOT3p52GDoyiuuV9/+/d3Tt36PB8/9KG2ceoYl8fPq sMq92652759fr3ff/+XN6T0wBIDqsQze3e3dYf/09PKEkQLWEyhPf1qf5n318bj/n+vDaeiL1A/r 42/rtWHuHqsrN3Ga67/sNnXh3CxPv8/z7L/P2U7uCqCER/vP3xcLFa8H+3bGv/3jq4Vgb/nvXgj5 hKi9z4xE+LKz0Qr79NKFUGbr7vb/h4Xw+zk0NVH+9F8whz5ApwnBHD1u98eXh/UqT/m26GH/ly3Y wzzU29UXLPcZHLuPq+2P9vPnn6A95mlY378v1v/d7Zdv/bK6NWAh4diDbcLdBglnEZAnXGBX9wAw QagYhdMH+Dv+g//Nf/9tbgU8AIpMTwvcSTMhyQJZ8UUJ3t1+qH9H/tSADRl5RJmX7BFfzCs445pf Hb/wXu2hdfDT6Qmn7/ug5KH66+bp33bb01dOTd5vnh5/wBL99enlaZ29Xz3Ob5v3qz/mre7f8Gio 8/NH39WNYl7Hq9tZCRYFcrHCK9rxm4ro6nFzvPvwevWw2X55fg2e7So3+LQuGrY08g1t9PeE/rOq Cqp/fdittn9cHVdXh9sNNpfDv9zPzlZWT395vF+dbVyYIZYpc1gG7s0jlO6L/yMAAAAA//8DAFBL AQItABQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAAAAAAAAAAAAAAAAAAABbQ29udGVudF9UeXBl c10ueG1sUEsBAi0AFAAGAAgAAAAhAK0wP/HBAAAAMgEAAAsAAAAAAAAAAAAAAAAARwEAAF9yZWxz Ly5yZWxzUEsBAi0AFAAGAAgAAAAhAOFRNx/PBgAA5hsAABoAAAAAAAAAAAAAAAAAMQIAAGNsaXBi b2FyZC90aGVtZS90aGVtZTEueG1sUEsBAi0AFAAGAAgAAAAhAICW4893AQAAGQQAAB8AAAAAAAAA AAAAAAAAOAkAAGNsaXBib2FyZC9kcmF3aW5ncy9kcmF3aW5nMS54bWxQSwECLQAUAAYACAAAACEA ZwPuhs4AAACsAQAAKgAAAAAAAAAAAAAAAADsCgAAY2xpcGJvYXJkL2RyYXdpbmdzL19yZWxzL2Ry YXdpbmcxLnhtbC5yZWxzUEsBAi0AFAAGAAgAAAAhAGEUZVT2AAAAbQEAACYAAAAAAAAAAAAAAAAA AgwAAGNsaXBib2FyZC9jaGFydHMvX3JlbHMvY2hhcnQxLnhtbC5yZWxzUEsBAi0AFAAGAAgAAAAh ACqTBSXJOQAAUx8BABsAAAAAAAAAAAAAAAAAPA0AAGNsaXBib2FyZC9jaGFydHMvY2hhcnQxLnht bFBLBQYAAAAABwAHAAQCAAA+RwAAAAA= "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image009.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;a href="http://4.bp.blogspot.com/-CEyk7fWRiPw/UUi5sM84DfI/AAAAAAAAEyI/pmiihv-gK1o/s1600/image010.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://4.bp.blogspot.com/-CEyk7fWRiPw/UUi5sM84DfI/AAAAAAAAEyI/pmiihv-gK1o/s320/image010.gif" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 5. Same as in Figure 4 with an extension into December 2012.&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 6 displays the current situation with the S&amp;amp;P 500. As in a few cases after 2010, the actual index (red line) leads the expected one (blue) by a month or so. It has reached the (closing) level 1563 on March 14 and has been falling since then. As in April and November 2012, we expect the index to fall. The level is likely around 1455. Then it might regain its power and have a final spurt to 1560 in October 2013. Do not miss this last opportunity. &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="mso-ansi-language: EN-GB; mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;!--[if gte vml 1]&gt;&lt;v:shape id="Chart_x0020_3" o:spid="_x0000_i1025"  type="#_x0000_t75" style='width:434.5pt;height:287pt;visibility:visible'  o:gfxdata="UEsDBBQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKySy07DMBBF 90j8g+UtSpyyQAgl6YLHEliUDxjsSWLh2JbtlvbvmbjJBpUKCTZx/Jh7jsau1/vRsB2GqJ1t+Kqs OEMrndK2b/jb5qm45SwmsAqMs9jwA0a+bi8v6s3BY2RUbWPDh5T8nRBRDjhCLJ1HSzudCyMkmoZe eJAf0KO4rqobIZ1NaFORpgze1g/YwdYk9rin5aNJQBM5uz8enFgNB++NlpDIVOys+kYpZkJJlflM HLSPV6TBxUnCtPMzYK57odYErZC9QkjPMJKGkEb7dwdBCRXgkxoVl59VeT70hLXrOi1RObkdqSPl nLhon8fLgaSiyMO/oUdT5sDfKSS6cBT5+3eDHLNwRX5g7RcAAAD//wMAUEsDBBQABgAIAAAAIQCt MD/xwQAAADIBAAALAAAAX3JlbHMvLnJlbHOEj80KwjAQhO+C7xD2btN6EJGmvYjgVfQB1mTbBtsk ZOPf25uLoCB4m2XYb2bq9jGN4kaRrXcKqqIEQU57Y12v4HTcLdYgOKEzOHpHCp7E0DbzWX2gEVN+ 4sEGFpniWMGQUthIyXqgCbnwgVx2Oh8nTPmMvQyoL9iTXJblSsZPBjRfTLE3CuLeVCCOz5CT/7N9 11lNW6+vE7n0I0KaiPe8LCMx9pQU6NGGs8do3ha/RVXk5iCbWn4tbV4AAAD//wMAUEsDBBQABgAI AAAAIQDhUTcfzwYAAOYbAAAaAAAAY2xpcGJvYXJkL3RoZW1lL3RoZW1lMS54bWzsWc1v3EQUvyPx P4x8b7PfzUbdVNnNbgNt2ijZFvU4a8/a04w91sxs0r2h9oiEhCiIA5W4cUBApVbiUv6aQBEUqf8C b2ZsryfrkLSNoILmkLWff/O+35uvy1fuxQwdECEpT3pe/WLNQyTxeUCTsOfdGo8urHpIKpwEmPGE 9Lw5kd6V9fffu4zXfEbTCcciGEckJggYJXIN97xIqXRtZUX6QMbyIk9JAt+mXMRYwasIVwKBD0FA zFYatVpnJcY08daBo9KMhgz+JUpqgs/EnmZDUIJjkH5zOqU+Mdhgv64Rci4HTKADzHoe8Az44Zjc Ux5iWCr40PNq5s9bWb+8gteyQUydMLY0bmT+snHZgGC/YWSKcFIIrY9a3UubBX8DYGoZNxwOB8N6 wc8AsO+DpVaXMs/WaLXez3mWQPZxmfeg1q61XHyJf3NJ526/3293M10sUwOyj60l/Gqt09poOHgD svj2Er7V3xgMOg7egCy+s4QfXep2Wi7egCJGk/0ltA7oaJRxLyBTzrYq4asAX61l8AUKsqHILi1i yhN1Uq7F+C4XIwBoIMOKJkjNUzLFPuTkAMcTQbEWgNcILn2xJF8ukbQsJH1BU9XzPkxx4pUgL599 //LZE3R0/+nR/Z+OHjw4uv+jZeSM2sJJWB714tvP/nz0MfrjyTcvHn5RjZdl/K8/fPLLz59XA6F8 FuY9//Lxb08fP//q09+/e1gB3xB4UoaPaUwkukEO0S6PwTDjFVdzMhGvNmIcYVoesZGEEidYS6ng P1SRg74xxyyLjqNHn7gevC2gfVQBr87uOgrvRWKmaIXka1HsALc5Z30uKr1wTcsquXk8S8Jq4WJW xu1ifFAle4ATJ77DWQp9M09Lx/BBRBw1dxhOFA5JQhTS3/g+IRXW3aHU8es29QWXfKrQHYr6mFa6 ZEwnTjYtBm3RGOIyr7IZ4u34Zvs26nNWZfUmOXCRUBWYVSg/Jsxx41U8UziuYjnGMSs7/DpWUZWS e3Phl3FDqSDSIWEcDQMiZdWYmwLsLQX9GoaOVRn2bTaPXaRQdL+K53XMeRm5yfcHEY7TKuweTaIy 9gO5DymK0Q5XVfBt7laIfoc44OTEcN+mxAn36d3gFg0dlRYJor/MhI4ltGqnA8c0+bt2zCj0Y5sD 59eOoQE+//pRRWa9rY14A+akqkrYOtZ+T8Idb7oDLgL69vfcTTxLdgik+fLE867lvmu53n++5Z5U z2dttIveCm1XrxvsotgskeMTV8hTytiemjNyXZpFsoR5IhgBUY8zO0FS7JjSCB6zvu7gQoHNGCS4 +oiqaC/CKSyw655mEsqMdShRyiVs7Ay5krfGwyJd2W1hW28YbD+QWG3zwJKbmpzvCwo2ZrYJzeYz F9TUDM4qrHkpYwpmv46wulbqzNLqRjXT6hxphckQw2XTgFh4ExYgCJYt4OUO7MW1aNiYYEYC7Xc7 9+ZhMVE4zxDJCAcki5G2ezlGdROkPFfMSQDkTkWM9CbvFK+VpHU12zeQdpYglcW1ThCXR+9NopRn 8CJKum6PlSNLysXJEnTY87rtRttDPk573hT2tPAYpxB1qdd8mIVwGuQrYdP+1GI2Vb6IZjc3zC2C OhxTWL8vGez0gVRItYllZFPDfMpSgCVaktW/0Qa3npcBNtNfQ4vmKiTDv6YF+NENLZlOia/KwS5R tO/sa9ZK+UwRsRcFh2jCZmIXQ/h1qoI9AZVwNGE6gn6BczTtbfPJbc5Z0ZVPrwzO0jFLI5y1W12i eSVbuKnjQgfzVlIPbKvU3Rj36qaYkj8nU8pp/D8zRc8ncFLQDHQEfDiUFRjpeu15XKiIQxdKI+qP BCwcTO+AbIGzWPgMSQUnyOZXkAP9a2vO8jBlDRs+tUtDJCjMRyoShOxAWzLZdwqzejZ3WZYsY2Qy qqSuTK3aE3JA2Fj3wI6e2z0UQaqbbpK1AYM7nn/ue1ZBk1Avcsr15vSQYu61NfBPr3xsMYNRbh82 C5rc/4WKFbOqHW+G53Nv2RD9YbHMauVVAcJKU0E3K/vXVOEVp1rbsZYsbrRz5SCKyxYDsVgQpXDe g/Q/mP+o8Jm9bdAT6pjvQm9FcNGgmUHaQFZfsAsPpBukJU5g4WSJNpk0K+vabOmkvZZP1ue80i3k HnO21uws8X5FZxeLM1ecU4vn6ezMw46vLe1EV0Nkj5cokKb5RsYEpurWaRunaBLWex7c/ECg78ET 3B15QGtoWkPT4AkuhGCxZG9xel72kFPgu6UUmGZOaeaYVk5p5ZR2ToHFWXZfklM60Kn0FQdcsekf D+W3GbCCy24/8qbqXM2t/wUAAP//AwBQSwMEFAAGAAgAAAAhAD12EmV3AQAAGQQAAB8AAABjbGlw Ym9hcmQvZHJhd2luZ3MvZHJhd2luZzEueG1spFNBTsMwELwj8QfLd5qUkIKipj20FHGBSsADVo6T WCROZLsh/T3r1CimIIHai2WvvbMzO+v5sq8r0nGlRSNTOp2ElHDJmkzIIqVvr5urO0q0AZlB1Uie 0j3XdLm4vJhDUihoS8EIIkidQEpLY9okCDQreQ160rRc4l3eqBoMHlURZAo+ELmuguswnAU1CEkX I9QaDJCdEidAVQ1759kKZAcaISuW+BHHsWLnI0MiuwfVvrRbZZmzp26riMhSip2TUGOLaOAu3DM8 BkdZxQjQ56q275s8J/2AsrfrgMF7QxgG4ziMb2IswPAumkVxdBu7KuXzL3msvP8jEwkdCuPGI+Ms 3SgUYklZqYPJQ+RYcfSleFWCMiTyhPtJo34/auFdOW97xgQwSwKtZ8mwc5af4vgByQGo/4wMmicY XzdsV3NpDsOteAUGf5UuRaspUYkdEvWYTW2bhrYP7bCK/bNtxjkz8d3ZseNY4+hT+FV/sPgEAAD/ /wMAUEsDBBQABgAIAAAAIQBnA+6GzgAAAKwBAAAqAAAAY2xpcGJvYXJkL2RyYXdpbmdzL19yZWxz L2RyYXdpbmcxLnhtbC5yZWxzrJDNasMwDIDvg72D0X1W0sMYo04vpdDr6B5AOMoPTWxjqWV9+5kW xgKFXnqRkIQ+fWi9+Zknc+YsYwwOaluB4eBjO4bewfdh9/YBRpRCS1MM7ODCApvm9WX9xRNpWZJh TGIKJYiDQTV9IoofeCaxMXEoky7mmbSUucdE/kg946qq3jH/Z0CzYJp96yDv2xWYwyWVy4/ZsetG z9voTzMHvXMCtXhxAVLuWR1Ye+vcYm2LK+B9jfqZGn6grAuNa0fwmv48cPHj5hcAAP//AwBQSwME FAAGAAgAAAAhAGEUZVT2AAAAbQEAACYAAABjbGlwYm9hcmQvY2hhcnRzL19yZWxzL2NoYXJ0MS54 bWwucmVsc4TQTUvEMBAG4LvgfwgDHt1kFxRZmi6CK/Qgirveesmm0zY2XyRT6f57cxFcEDwOwzzv 8Fa7xVn2hSmb4CWsVwIYeh064wcJH8fn2wdgmZTvlA0eJZwxw66+vqre0SoqR3k0MbOi+CxhJIpb zrMe0am8ChF92fQhOUVlTAOPSk9qQL4R4p6n3wbUFyZrOgmp6dbAjudYkv+3Q98bjU9Bzw49/RHB g8XX0ydqKqhKA5KE3lgsL/Nm2+518MEZndsD4lQaeLRxVO3h7U6IFheNtnUqTUg3G9HPNCdcLTYv P9ZL6Mqb+4UweWWB1xW/KKn+BgAA//8DAFBLAwQUAAYACAAAACEAR7ykHt45AACsHwEAGwAAAGNs aXBib2FyZC9jaGFydHMvY2hhcnQxLnhtbMx9XY8bSZLk+wH3H2oLDcxTl5iRyfworLRQa7YHi+25 bUzPzMO9UVWUxGsWWUdS3dL8+rOIZLgb1TIf7scdjhhMq6roGRkRFh7u5h4e//hPn562N7+sD8fN fvfytrlb3N6sdw/7x83u/cvbv/z5+2/H25vjabV7XG33u/XL28/r4+0/vfrv/+0fH+4fPqwOp5+e Vw/rGzxkd7x/eHn74XR6vn/x4vjwYf20Ot7tn9c7/O3d/vC0OuHHw/sXj4fVr3j40/ZFWiz6F+Uh t+cHrP4DD3habXZV/nCN/P7du83D+vf7h49P691pfovDers6YQSOHzbPx9tX6Nzj6rRupkV388tq +/J2cfsi/3K72r2ff7HeffuH7+ZfHvYfd4/rxzf7ww7DSN9/erh/vT2tDzs86s1+d0Jr534+XTVS T6vDzx+fv33YPz3j5d5utpvT5/K6eEE8+82HPfpx86f1//64OayPL28fmq4OBP75m6F42jwc9sf9 u9MdnvhiHoU6G/mxw4vxRTrPBzrbdPfH0+fteu5Qs0i5ty+s3fIK36+227erh5/z2NCX7av+9yz4 5WBkqTL9+R+rj6f9nzen7fr36+36tH6kcXy4f97uT68P61X+4nb1ef/xlP/1tNp9XG1/sJ/nv/x5 dXi/Ps3imx2mZJ6lT3/cP577sn58v55/+flrv/x0bvquSUPXp6kfl027aMZxOgvNf093Q9uMwzCk KS2Hvmu7f/62dPzh/tf6hLFpl8u0wN+baeqX4zg/4UP9+9SkpumXLb7XTP2i7fPfX3zZM/zCO318 WJ2AqTd57eVBOP/8k0/V8Wm/P334I8BT+/7L6vD5zX67v0AnRNeH/ITN47nH57ffHx7Xh/kNm/l9 T5/y9355tT9s3m92q+3NafO0voH4Zn3Mr/tLeen5W8fnH/HU1f12d/Pry9s0Locl4Lq6P+63m8fv N9tt+SGrh/Wb7bmZ06fS0IuLb+Gn7a48eH5kHpXcpdLpz09v91BbeWnuoJZs2OoXPv11hYYe7ncf n/60fpf/9e7V7376cblY/O4fvnn9TXOP/2v7Nr98+Su+92aFlyrfLMrqDeDy6g9r4Ge1LV/z3+Jp z6c3WPVnlOFB8zg9n24wmFlb5Of88qqZxuTj81zmq36noe/cLcbWP0oisUTT+2epJFqWSN1kn1FJ dCzhr9SWkZqn+bIbeXJrV+86eisp0V9I2CtNk+zGwBJLH6okuzGyhA9U3zeq4xNLDDRUsh8Nz/Kd v1WbetVIczHpk4/WUvakuZh1Gq1JdqWhaW8ZWkn3hea9vfP36pe6LzTz7R2Ba5xk92nq2ztCV9J9 oblvGV/LTrZCkw8RH7JR94Vmv70jhDWyL4lmv70jiC3lik80++0dYWyUfUk0+y1jrBlU99PF7BPG Ot2Xi9n3AQu0V6LZ7xhjje4LzX7HGOt0X2j2uwuMyd7T5HcMsUZPC01+xxDrpEJqafIh4iM2yK60 NPndBcRUV1qa+44R1smutDT3HSNs0F2hue8YYQupktqLuWeEya5cTL0P1zRIjdTS1C8ZYAvdFZr7 JQOs1V2huV8ywOQ8djT1SwbYQnalo6lfMsBaqZA6mnuI+Ij1sisdzf2SAbaQyrWjuV8ywvR239Hc Lxlhve4LTf6SEJYm3ZeLySeEtbovF5PvAzb1UiF1NPk9QQwWvwLykma/Z4glqVyXNPs9Q0zbIkua /Z4wlibZlyXNfs8Y08bIkmYfIj5kS90Xmv2eMAYPSI4YzX7PGEu6LzT7PWNsKVflkma/Z4xpY2R5 MfuEsST70l/Mvg/YtJQ6qafZHxhjo+xLT7M/XGBMjTHcDzPCB4aYtkV6mvyBITbqrtDkDwwxbYv0 NPkQ8RHTjdDcD4ywUarXnuZ+YIQ1uhWa+4ER1kmVNNDcDxcIU7MyXEw9AayRXRkupt6Ha9KmyEBz PzLABt0VmvuRAdZI7Vp8+LObNzLCOt0XmvuRETZI7TrQ5I+MMG2LDDT5EPEh63RfaPJHhpg2Rkaa /JEhtpB9GWn2R4ZYK7XrSLM/MsQG2ZfxYvYJYwupXceL2fcBm7Q1MtLKnxhjve4Lzf7EGNPWyEiz PzHGWt0Xmv2JMdZL7QoSz3TlRBhbTrIvE80+RHzIWrlTTDT7E2NMWyMTzf5EGFtOsi8Tzf50gTGl kyaa/Ikh1uuuXEy+Q2yp+ZrpYvJ9vKaku+KTPy0uICa74nMPCacsltoWmXzuIUKURZI7RbPwyYeM cxYpoGwWPvuQcVJMG1aZXa+wzCI+ZgFns/Dph4yzFkmbI83CAQAZpy1ATauBbhaOAMgQbyEx0ywc ARBxbiwt5X7RLC4gQEALeJvFBQh81KYm6A6hAOEue7m0lGq2Ia5vahhs2ixpiOyDDKGtkZtGQ2wf ZAht2jBpiO6DDKFtDPpDMICMD5ymb5qGYNAw3LqgP4SDhuE2SG3bNISDhuGmzZOmIRw0jLdO7h1N c4EDwps2UBpi/TDWPmzTQveHaL8pMd40j9MQ7wcZUm6D7g8Rf5AhvC2k1m0S4SAx3rSV0hD1h3YI b4PWB4lwABkfOM3mIPjmKjEx3tqgP4SDdIE3qd0SwQAhPX+3he4O8X8YAtMgbWr1RkIEIGQIbtpW aYgCzDL+kb0hBnBi7j9pSqdpCQRM/i/7oDekDJj9HzWp0yC6aXsc0//BFkcsILpDWJtDd18LSDUt YYD5/1EbLE1LIOAAQNIhpoaYQLwbbaWa2GmICoSMg22c9L5IXCBkCGya2mmIDIQMgS2wWogNzDL2 GYNIE9GBE4cBUjCnHcGA4wDLINbUkS7gQABi8nIpdIQDDgWkINpElCD6Q3gLwk3ECWYZH7fAbiFS EDJkuumAU0OsIGQIb4HdQrQgZAhvOuTUEC8IGcKb5nmaJamDjvGmg07N8gIHNmzTGMTMl4QDjgqk wG4hbnDisMBSx50aIgch43vpGNgtxA5Chmw3HXpqiB6EDOFNEz4N8YNZxgYOqShyLRBDCBnGmxah XYGDA8vAbOkJBhwdGHX8CbaN7woX4QFN+jT9BQxIvWnriFhCjIAN2jRq1qfpaVe4CBAEVgvxhBNH CJDjI4eamELIMNq0CPmLFyECHYZqiCpEMwQ2zfw0A6GAgwSjDkQ1RBaiHQKb5n6agVDAYYJlYLcQ XYh2SLnpWFRDfCFkXLkhU0eP9QUMCG06GtUQY4h2CG6aAGqIMpw4VoDMMPluxBlChhwFHZBqiDSE DMEtMFyINYSMK7dGh6Qaog0hQ3gLDJeRcMARgzHgTog4RDuOt0YzQUjmc63DQYOlDks1RB2iHcKb jkshgZTbIbwFhguRh2iH8KYjU+gqt0N4CwwXog8nDh0gqVHijQhEyDDetAhtChw7GHV0Coj37nDw AJjS7dCmwNGDZWC3TAQDDh9EzZA24PABlpV6NeTWcnfIdNMhqsQkIgcQRk0FIdGU22G06VcjEnFk sOkoVWISETL2GbXVkphE5BgCNLJ+N0IBBxGWmglKzCJyFGHUkarELCKHEbAr6XcjGFzEEbTZkphF 5EDCqINVSA/2KeVIAnZz+W7MIl6EEnS4KjGLyLGEUTNBMLr53QhuOmCVmEWcGG86YpWaCxwY3KZR Gy7JWEQsPg4owKjT41a1QZEh5aYNl2QsYpGhzVRHrZKxiEWGNlNNBcFpPY91kfHNFPa/7I+xiLOM DdyoA1dw3Lkd2ky14ZKMRSztuHrrdOgqGYtYZGgz1YZLMhaxyBDedPQqGYtYZHwz7TQbBNKHx8CG DemQcmNMRiOiHY4qaLI/GYtYRBxunbZbkrGIRYbgpkNYyVjEIkNw03YL6EIfAg4qaH8+GY1YmiG/ VHNB4Eu5GUKbDmEloxFLO4Q2HcJKxiMWGUabXDxGIxYRApsOYSWjEYsMgU1TQcloxFnG0DbqEFYy GhEyHFJoNBWUjEYsMoS2wG4xGrHIENoCVBuNWGQIbYHdYjRikSHlpkNYyWjEWYbGTZIAyWjEIkNw 0yGsZDRikSG4aSoIA+Ww5pjCGBguRiOWdghvOoSFiCW3Q3gLDBejEUs7NmzTqENYiNp6OxxVaDQX lIxGRDscVeh0CAuBa26H8KZDWMloxNIO4S0wXIxGLDKENx3CQryf343UW2C4GI1Y2iG86RBWMhqx yDDepKoyFrGIkHbTIaxkLGKRIbjpEFYyFrHIENwCu8USDWcZw5u2+o1EhATHFBAN0yNQLcQiQ8pN h7CSkYhFxsE2aCooGYtYZBhs+tVIF3BIodMhrGQkYmnGsTYERouRiEWGsKZDWMnyDYsMYU0zQclY xCLjYBt0CAvHKH3tcEih0UxQMhaxtENg0yGsZCziLGNgG3QIKxmLCBkOKTSB2WIsYpEhuOkQVhoI BxxSGDQTlIxFLO0Q3HQIKxmLWGRIt2kmKBmLOMv4uAV2i7GIRYbwpkNYyVjEIkN4C+wWYxGLDOFN h7CSsYhFhpSbpoKSsYhFhvAWmLzGIs4yNG5aVRmLCBkOKjQ6hJWMRSwyhDcdwkrGIhYZUm+B3WIs YpEhvOkQVjIWscgQ3gIyyFjEWcbHTYew0kS2AUcVApPKWMTSDMEtMFumyiIWGYKbDmHhIIurt4ug QmC2WC5iaYfhpnaS1ljEWYRGTVJBOLbur3YRU9AhrNZYRLTDMYVOh7Bay0UsMow23R3aFC5CCjqE 1RqLWJohsGkmqLVcxFnGh02HsFpjEYsMKTfNBLXGIhYZQpsOYbUL2hQ4pDDoEFZrLGJpx5XbQtst rbGIRYbQpkNYrbGIswyNm3SwWmMRIcMhhYUOYbXGIhYZUm6aCWqNRSwyBDdtuLTGIhYZV24LHcJq mUXkmEKnDRfUhPAlxzGFQYewUPyBZRxvC00Ftcwi8qGEToewWmYROagwaCqoZRaRjyUstOGCRDju D+FNh7BaZhE5qjBow6VlFpGjCgsdwsLxfH83jiroTaFlEpGDCoMOYbVMInJQYaFjSy2TiBxU6LTd 0jKLyEEFvV+1TCJyTGGhM29aJhE5ptDpEBaWGI807aWaCmqZReQTCjqs0jKJyCGFToewWiYRIWOf QVstLZGIDYcUFjqE1RKLCBlSbjI3uyUSESKk23QEqyUSETKk2zQR1BKJCBnaS4OhJhIxy9Cw6f4Q iQgZ0m06gtUSiQgZ2kt1BKslEhEyhDZNBLVEIkKG9lIdwWqJRIQM6TZNBLVEImYZ+wyB3UIkYsMR hYWOYLVEIkKG4BbYLUQiQobwpiNYLZGIkCG8aSaoJRIRMo63VkewWiIRswyNm3SwUHDJtA5kCG86 gtUSiQgZx1urI1gtkYiQIbwFdguRiJAhvOkIVkskImQcb60mg1oiEbOMfQYdwWqJRWw4qBAsOSIR IeJwa780W1BmySsszT+Uskz4Z63U9Dmq2PRdrtj03f+Lik0Jak25LNWXwpGbu8DtPMMPB4DuArPX voW0OtlidZHys3R4qwK+WWBnloq4mj04aHWnuf7q/uJ4zJ1mZaqJiwMxd9puqkZt0yLXXS5Y82eQ uX+ng2vmwiDx/q6H0vCPnC9Lh+mQkIs8APvIQTIHpungv8j0D/NZkJUdTLK5KU0P6ld66eaZILf3 rh29Y1ozmmOCXNg7rdjMF8lP1uSkuR/lPdVwmsOBhX4XUBu2THocpUDFNfvIUTcXIz9ZLgZzKvJb BmyzLRq0H2TW2KpZYj3ImTZvATnhd0FI1tZND9Pwuk7bIlrCLLpOxFbUEhpIhlDMJWjw5IhJqDoI ox6QIbaK8DU5hWbrF3DInBQz75sMjtGggaQJBTsz7zPUA9/W9NsALSjXmhnxSLeNhtAmZwyH0CYE jepAupnnyCHFVKuemkXe4HChdhPNCEd26d2XO20uTTgXITS7G8muwYCYqd2MedeX72bLBV3QfiIZ 1DAIZLqM29DY2HSAys1mfE17WW4pJ+Ray43GjWNsNBKhbg63OCmhH1ZXBZIK7nTM1I1eLEUdsXA7 t8Ua043WSUh525EYd2u2hXGun1Z1Vupw3kvOvNusHbgP/bS6FJBpEsy8W6ZDDu4quLkxOuK8l/yW TQIWjASbh62xELTD5ZFqLCuc+/ePbr/OR6t9PzvfAmIQytifqmlui0yDELrTQ1RVFFi9QPfYIRZk i9zp2I+HnFsQCGrAPcgM1OvZ87hy3lvlxHgoGZpd6xSPHi/BP8qF6wHjPruksgt1n0AKBFyWa+bD Q8QDNi354DofCKvf6cwLjwPjNbV+8dDvkJ2+a17TI78D9NtwlYgtIPRMzpOHegcEKUCf20eOskd6 89GP696lLqaEZaoDzx7bzacT9TtX5YYYS2AgWwQXdHo0G1W5ISIQqEqL04JYCpaHhWZbLElNOFo0 toXi1TSrBWDBAgbqzWKuIMrACCgUW5gVfI02xS2ymjWU1gMWTAXlHKxci5+C+7zT0RgLmYLz1mrR K7aA0bjTSRyNhUZbqBW9Xr00C1iiYBoaC4EiYhL5WnZ6ApFJuApqIrzsSrC5eKGV3CgSy/0jl6YX WsnjqDf0xgKabbYPgufZ4oAa19rei6i0AxJg5KbqhVPy9zQJ6cVS4DIHG6AXSGmhSnXmKhIwzv5Q O2I7kv6IF0IBAxd59ebWl+dJD9MLnoA2C9SBFzn5e+NX5wNho4Dp8WImHWK12rpGifrzuHQg+aTC 9ZolHfI9NUeNvCp7HNx4jX+LByLEFFjYXo8kd0Mn0SDXrLabYFLq6bVgX9fAQtWwtwBfHmZppTUW 0+uy/ae/Z057l412PSwWvOvgn+gwhdcOQdpGNLvmuHdY5TrDw6uEdNi0NM2PCw/qMGM70rlgXg2k g2cUfa9u5Pl7AT1okbYOzJ2O/HmpDyRgRmrafPYO20Og/cxp77IRq+FiXnuHbUnb4V66o8tcmMaB +e0diAzN+jYWFsvvFywP89w72Ac6D6sx1z3Ph86rBH9acYBtM+iGKasOq1JrF3Pe83To7AucgKjN YvPQqXteTQM3fETLyBz4DlZ9sCzNg+9gNwXaz6JTHfjEqL+mrYaIYm8sCtVh09KRzsa8eBCNYX/r fCyh/QL1Yn48TuhrO9ELXCwxvTolwYtaLDEdCxRjtI+Gjvn1S6woHR0BW3yGxBJcgiaEcQ+LfQ+e mbTLzKHvkS+sE/m9SEWP/WtK1qHgoovG8st78ECBTWpOfQ8l2133bPPweyxw3T1z8ftlrs5Dr60t GPP3+x6eirbszOHvAWrN0XrVCcR5YCK4URuYy+b+99iftH/jlSb6vGC0vjanf8A0BwvVcsGRQxVN mfn9A6ZMn4HxyhHDmOuHSBiatz/kCot6zC23O79fMDfm5I84vxhY3ebZ4yB6QN169YdxRNUdGdRp zJ+fgDedjoiiBOfVifgYGAU9LnXfmUBRaWrZqzlMUHQ6/O4VHFDlO1B05tODeImcAnPqceAqej3z 6lGyM6eP0TqUXTcXH64WbAy9xs3Jh68Vf7HuQggthygzTx/eVi5SdtXr1pmCJwd1oKfUHP8JENZT Cu/3DBF0H2tRmvhUWwFJs0HLVFAhx6t6iiEHD6/+DTwibPFSw1AZBRwOAUflai54eN2j4EblwhgK C8mynhuchgAtdMWEUO0E5NQFwTEqmIAE8+tmO1mqc9PCktKWBVVJQA5lkDdApREyeac39mSZzBiL uGmbuhZmiDb6qfJBC7JSW8FU7qDD1hgc0jayAA4KrBSp972wATwoOAhS8SeP/XcAeXBqyqP/HcJK Ok3B6xbg3CcWrMSeEQZwPqBb9fcq+wynB9pFg9koA5j3SHeQTrRXIsAT4XXodWSJw+gKthP9iqYA kacesBVeZwCOd6TYvbhAmb9ASRlxgKUe0aJeRwBXCebkT9kZow5Q9xWd1hNjyb4gV1CTTWPMyAPo OuzeFM/XQ+8pAFjBkX40JqHsKQGALZkXeyV8Uj2bHvyHixGQItCtdSfBcgy8cD/xD/YwH3iQY290 AjoDfOjvVf8VeziKmunJND4BLWfP75rdw1MCFkMUKU9GLuAlMmtw1cPr1jSFGQJ+cH/C9GvDyw/r I+UxoJX9gP4IPyuwDixLIBukOi86GdOAGxECg9QP36MoZLRGLFd2xFqSRo6fsUc1oCDM4Ofqs/2t c4D8LH0ePp0U4efnp8yHybgQrjA9L4kJgXtpWvox+QkGozbnk2W1Il6DhaPVhREN8JsR1ZQLxzIG EDiJGA4/+Y4vwoPRDzRjIBvJwQgav4Cljam7ykg0rgGrF/uKVlnGNsBIRm3IYJzq/EBxQB/obrlq y5u41ljGMeAV8+58jQVpHMPsgejBNZYBX8wFfeXrGrWASciVcvUXfbpCBWvZBIi7wFMJXrHqs3xH bzT/duocERpsaBqiRinA38lrjT66Wz5dcBiXnByqZSqHh1AVzqN62rymRfyoORJ/A/bLj5eX7wXG hvEOMF9AJOmJM+IBNkRovhjzgC8iQ0AvBTsyjnEO/UDjHmaDKHhHW1zYbu50gj9SF6rhgBGN7AE7 Bg6fBMuQ8lB0vyy9AEEl5D5c5dMZLwHdhHYW12DOOArU4M+duErGll+W0avKOQpUa7i237YScc44 WrKWlgASAnar3qWcrmiR0hKoX0tNyDZQQFmCgq0Tn+N8Uv36IW54KECSVHx+chstYxHLEfXj2sUr 04kzfkYbpipiGVJPId+g9mUJVapNND+OjURjBA/lePsZbHiEEZvqB69h1OYi9ErH+WlrRHJgJwdN 28QsM5Em17ifq8bwYBvXM0MnEfooodBPUIPygAeu39FPHeSUDE2M+1lpeJlBLN7PR+NMBch+PYxO O2R8R6PjGnBcyFlxzgHlda7zB/3sc2FnNAvgB57h58Iy5/1TvpBREROmKkCJnUAYUa45WJXGREwA vKZz/DDzmKCINOiMhxigsPSpHD+0PCCfTme9+UnlESSb3iL9dPKEcz4B1o2EyN/TqcR+ChkF1e+i 473m3i6y9am1mlMQixxX0SPoFMQi505rqDvvsIAncRWX60eLYX3m+aGPhByxEdnAvGaX9qPFxRzW YWs/T4w1AGJC7zN2ihhGKfZZPSxOTGCjB4t6havvR4eR9Bb5Wi2RFCCKecUGL2SWxBz5kAPtJAXu VdEmhx8MxlBg0Uray08D44v5SI5u2ZUhwHkVc+9HgAshD+vZP7od27uwsIOUOT/3i30hX6Ign2jp EWAfEdCQtqaf8EXiD3Zs/UCbrcx76pNofpQXxitSFfWCtgwJ+F053/saQNqJh+KCa1LcD+2C2YTF orvldjxSeYNjnM5jgCG5EuFGacAmzzdoybdwTqPtobL0mNlBXBiLqDnyhWkXnL6tp26PT/v96cPN L6vty9vm9sWr/ErH9SHf13T+z+bx0/znNv/54X5/eFwf5t8s5t+cPs3XOz2tTg8f1o83pw+H/cf3 H24Ql6PVPn/r+PwjHr663+5ufkWLEzgb2Jyr++N+u3n8frPdlh8O79++2dZGFsPiTWnpxcXX8NN2 N79veebD/dPq8PP51T8/vd1v55fc7Xfrc8f8C/XwMQ4nl/PID/fvXv3upx+RcfC7f/jm9TdDd4// RyghD8e73Ds/xYxf7A/o6pv94/rVH9a79WG1LV/z3+L7z/j7x93pPHLIWCljV49oWbwSl95gj6vn 6FOQjFkt8ywBM6h+rjiOnCX8dP8U7B3cRn0nFADRnKn5C7kNP9nf623bPLoi4apQLwYLxGQJP9WP eoRq+ZiSzhJ1oPBffdjTFn2W8BP9k86rMgWdJWwCMVZyUftx5yzix/l7fYTIHY4i4qOlDzN5yDOz 8QQtbQm4E5JFCFuanLWMaVyfguimE01B/gjNPJfFgb+g5tF9lNyKwwvmhBShuYcIjZjcydx1ya0Q wPSe5oHTLOIIC67s9TPUWYQhprpiHkwZY4KYNp7NmSkiDrHgyl7za2YRH7CAzvRVD6qfISa74nMP CUdYcGWvJW3DXgKt5DOpfS/L3y4ipL8C8tgXPlphhMmu+MLPEjReUh1Zgnd5LwJYYGiat5R7TwCL PErT3hAhgEnguwOVGyGA6WRrd6WyCAEsYJ8u5t7HK7ip1x2pCZQ0AUzH9T3Am0UIYYFJTHMPL8Kn UufeuW+VWyGEacfXvawsQgjTProllgMvXPsG+WoKle5uZRGCmI71e0g4ixDEdIq6+11ZhCCmjRBL Qi99IYwFpU98w0crhLHADHGtn0X8w/bn8ynbcdUCsyx1vBgXvcEhZjnItPS56M1SJ3VaSLm0QhjT p6XcUcsvRhjTtogFmksrhDFde8Wy22cRGjHp/FqiexEhjGlC2T263BfGmBpj9+eyBEFM50RbfLq8 F0FM09KWE19ECGLaFnF3L7+Yj5e0RNzXm3CrKikxHTpzry+LkBLTxczd/8siDrDgOl7Lnkfnr7uN 1+PcWYLwpQlrD3MXERuv4C5eD3hnEcKXpgzsvHzpCuFL8xuWaF9EHGDBRbweD88vRgDTjJKHw7MI AUybIh4YLyI0YtKj8BD5hLAgQUznnloiPrp/5R28HjfPIgSxK07kl1ZIh+k0Bo+l51YIY7oIqEfV i4iPmDZGLGe/vBhhTNPHlr5fRAhj2hixI/xFhDCm64BYUn8RIYzpUioeZ8/dJ4xpFtkj7kWERkxu eh57z2k4hDFtjHgUPouQGvuSnvLd2OPxWYQwpo0ROxaAEcNxHPsg6VdtLh6jzyKEMX3azqP1RcRH TB+U82B9FmGMqffyUH2WIIhpW8Qj9VmEIKZDXX6wIIsQxDRZ4zH7LMIQk10haz9XG6if4LZdj91P CMERwvSZH4/iZxFCmI5jejw/izDCZFfI3Lv2pl0/iJBbIYQFhI2VIwCQIVNHbIpu2rVK7UWGMBZQ NlamoMgQyrRBghQtdyqvvWnXSrWXdhxnIBjUUHs1gyJDQNOJhF7NYJahcZNuklc2gEwOLlatEd20 6+cXsgyBTWcDIZjn44b4jU3qqA0TBBpZpr4ZCmjoLBWvhFD6Q3jTpgkCJdyOvdoU3bRLfB/GwPEW 3bTrNRDzuBHedJQdsU1+N1Jruky5V1EoY2BTiqpL0jZHmI/bIbxF1SlIHyB1yD6jtlC80gLejYn+ 6KZd4v2uvWmXeD+IENx0mSGvxlBejeCms6eQLOfDxnx/dNOuJTqUdhhuUhsw98eUf3DTLhLW+NUI bbp+DuKxLENo03SOV3Uo3WG0ye4w/8fE/zIqVkDKADL2CW7a9cIPeDWm/oObdpEu50PA3H9w064X hCjtENp0ZMmLQxQZQpsmdbxQRJEh5aYNFuRbcX8IbTq+hEwpliHlpiNMXkyivBvBTceYEKHldghu mtlBfgPLENyCOBOTgTg/ZDvWMgg0MRsIGfsEN+0if/38brn6EG+mQajJ+MAiY6/WLwPDxQpUFBnC WxBssmIVRYbwphkeL1xRZBxvQJFc23a2ZJahcZNeCFImedwIb0HAyVjB0o7jLbhp1ytdFBnCW2C4 GC9YZAhvOujUGDFYZBxvwU27jTGDs4yPmw47IaXdx43DApqv9yIZaIbDAsFNu14wo8gQ3HTkCSWC +dUIboHdYgRhaYfhJtFmBOEsQqMmg09eYKPIENp09AlHnrk7hDYdfvJiG6UdRpvuTnUWiwiBTQeg oDH41QhsmvTxghylHRu1Kbhp1wtyQIbjA8FNu0jM83fjAEGng1CNMYWlHUJbgGqjCosMoS2wW4wr LDKENh2HwjEZ7g9tppr78QoepR2Cm45ENVbBo8gQ3DT749U8igzBTceiGiMMiwzhTQejYDvxGBDe AsPFKMPSDuFNh6O8+gdkOFwQ3LSLQ0f+bhwvCG7aRa1nliG86YgUzG6WIbwFhovxhqU/hDcdk/LK IbOMDdwYGC7GHBYZwpuOSnlFkSLDeJOqyqjDIkJw03EpLzRSZAhuOjDlRUeKDMEtsFuMPpxlfNhk b4w9hAQHDuBCaBkCAUcOOh2cAnPhwOHQQXDTbmMlSsq7Mdj0q9GewLGD4KbdxijE0ozrtuCmXRBY 3B3Cmo5QwT1gGcKaZoLwRizjYItu2jUWsfSHwKaZIC9yUmQIbDpKhfOL/G6GtSm6addYRLTDMQRw EGpOk7GIRcYdhU5fZuGlT4qM67bopl2+8JHDCMhB1u9GOOA4AopeaBnCQa5PVz8o9iRljEUs/SG8 6WiV10YpMoQ3Ha7yMilFhvCm41XJWMQiQ3jTASsvnlJkCG86YuV1VGaZOmzToA/GJWMRIcMRBRwk 1mNdiYMiQ3jTQSsvtFJkCG/abkmWOlhkSL3psJWXXykytJfquFUyFnGW8XHTgatkNGKRYbzJYbP0 wSJCcNOhK6/VUmQIbjp2lYxFLDIEN222JKMRiwzDTXfnAgU2aNOgqSCv64JmLmIKOn6F+lCuRTmm ENy069VeSjuMNtkdq/tSRAhsurptsvNXRYbApkNYyVjEWcbGbdAnF3A2nIeAwKaZoGSFYUo7hDYd wkqWTFhkCG36fpxkLGKRcbQFN+165ZgiQ2jTISwvIjPL0LhpRWUsImQ4pBDctJuMRSwypNw0E4Q8 OJ8fjikMgeFiLGJpx/EW3LTrFWeKDOEtMFyYRbzypl2vPlPacbwFN+16JZoiQ3jTISyvSlNkCG+a CsJa5rEmvOkQllerKe0Q3nQIyyvXzDKOt8BwseRCyHBUIbhp10vaFBnGm1RVTCLyiYLgpl2vdFOa IbjpEJZXvSkyBLfAbrEMw1mGhk13h0xEPlQQ3LTrlXFKM4Q2HcJKTCLysYJBU0GJWcRcP79+dFjF S+eUVyOw6RBWYhKRQwrBTbvJMg1RqZFDCsFNu8lSDYsMgU0b8EQiohnaSnUEC8dUbI1Cpo4Zzj9r IihZsmF5NQJbNNSuC9AOOQo6goXCG/xupNsCs4VIRLRDaNMRLNxvw+2QbtNEEI5psQyhTUewkqUc lnEjuGkiKBGJiP7YGp2Cm3ZxsM3fjSMKwU27iUhEVAciuAV2C5GIkCG86QgWKoPyuxHeNBPktXww bnzYACWcpKYiEjHL2MANmgtCMU1+N8KbjmAlIhHRjuMtuGk3EYkIGcJbYLdY9mEZA8KbjmChUCr3 x/EW3LSbLP+wtGPDNgU37XqRIMhwUCFYcpaAWEQcbr+5adeTKZNlIBYZgpuOYCUiEfFqBLfAbCEa sRxnrpMaaANLQiyvRmgLqCBiEdEMoU1HsBKxiJCpL9b3qNoqV4IlIpZ3Y7RpEdoUUHbDhm2hI1iJ WES8mi7p4ZWFyvsQKrV541WGZhmD5aDrcHnBIchw6GGhKSOvPVRkCJY61OVliIoMwVKHurwiUZGx 8cXv5Tx6caIi47tuq0NdXqdolqFxk56YlywqMoRLHery6kVFhnCpKSPcY+baCZe12aIZdKjLaxqV dgiYOtTVWgJikSG8aQvHKx3NMj5uOtTVEnWIyn6ehLnQnJHXP0I7HH1o9dkrr4VUZAhvmjNqiTpE O4Q3rdNwM5zPD4cfUO5aKQ4kJ17I0LhpvBF1WCoi1rdb6FCXl04qY8B4k69GzCGaIbjpUBdqUnF3 CG461NUSdYh2CG7awPHqSqU7Nmq6Oiiqovibcexhoc0br7mEVvgAA2px6FEjEPAJhl5nPXstptJO nU64FDIsglv3uDuk2/RRLC/RVJox9TH1+g4uZB1zO6TbdKgLhSJYhrAmIxzoMos41npdgr0l4hCz Q1jThJGXcypDQFjTka6WiEO041jrddV3L+eEdjjysNDmjVd2KjK0lepIF26F8HHj0wy9Nm9wSSTL ENp0pMvrPZV3I7hpwshLP80yNnC9jnThnkF+N4KbjnS1lH6IsSa4BWYLEYeQIbzpSJcXhyr9Ibxp xqil9MNchNkmFRd6Sg1iJ5JLOzZsqF+ntxEiDvPFF/Zy2CRlO5R+CBl7tR4vrWVIHfB5hj4wW4g4 RDuENx3pwtWjjgOUk7OXQykq/W4eSEA7pN50pKul9EPIMN50M+Qj8nEG4F3L0KaAC3Tt3Xod6cKd pDwENqOw7IPpIXWAowk0bPLViDjECBDaNGWEa1X91S5CDzrShes0WMberIfau3y3oFZVLdZUa1Z9 tWjTd98099989w0azM/9r6jZlETNJpQ7k6urjhBO2dxp87yOSakvrnfH88jhVMydNtsr+vOztPav VhCu8wmKv1WI50Li2oCvoEYpu+CmjQrjfMWPXiIVuPnyIG0uWyIEcvWjqyBt9FG3HDeI0ecSa86V eLkkFLujAu5IF5YiVUeVix/k7PmRKdytouvI+SmpHr6DNPzML0E+L8qrUs/khmJuCfJfg/p85onk J2uTw5wPJPpq+HuVIxRq1QrLXIx8udKSr3mTo24eBlRI0L7NDd5S25B+jgntB7y6rZpciVTOtOUZ IA08qndu6waXtaDsnX90p20R5StQrxOxFYUyhxHpU5ULnqwj4eYG5FHXwXyz/PPXZG/M2M/f0urF 7PsCDrpZRi9JywvIUNexWbPom3ztllxrFv3PVf2DIbTJKXXclbowUz03qtkxs86RNhpUILVIfi7W r3lAC94joTS4wcDM7iYXypMDYpY2sodhZKqemnGdu6CNVjrOgyR5adS4CY2NTXudbjXnCIF+t7os kBUUDIjbxthopGb1wzio3ayPWLoBnO/pkQas27xYitoP8QB5rnYsbU63bPO2I6fUz9LkS6f106rO SvkmeDm6brOi0rrOP/BTMl00826a4sIZDTe3RnG7q+yB25+5ZJWCrseqsRB0opOHp7GsqGAyjojI J9c9BJS1/E61u0ALQhn7xqCJIItGgxHSd5Bb/LlN+bY+2b4tDtygqj06jzKj9rN8mMeVgXo9ex5K znurnBiPHkOza53iAWPc7KOTZjxGjIuDdc6Yh4VhEuFqNf/oXttCQelvudQ9Dowi7RozHvrFa2r9 YmVmUHQUTp+/pYaNB3txLwEuLPWP7JnHetEzOU8e3cW1GgOyROyjH1w9l4TyAN1171IXEyKpKLCu 8OzhXBTG0QE2i+AiwhIYyHb0I9e5DmajLiLEAwJVabFZ8ErB8rBwbIslqckPi8CCWAruDrOoK0jA QL1ZoDVX/tYpAxZbBV2jTXGLpmYNpfWAncMA5RysXAuagvoMrm2x0xYgvbVaxFI5W7+gNIKLCHGb bP0e1Iper42VY2lx7ZLO1kLR/Po8XOIR+Fp2YAJxSbgKCue4x6w+T28uXlsl3xyCXHL/yKXptVXy OOoN3eupgMENrA2wDvVFoca1tve6Ke2AIIrcVL1WSv6eTqLx+ihwmYMN0GuitFClOhyNAwS1H7jt QoeTcWdE/R7qJgVevbn1bX6eVGhe4wRpH4E68Lomf2/86nx0UFbaFfP6Jbm6vLaucVjm3N8OKQ1y k8D1XfVrOOMYVAmw0GCXI4Ma/+bHd4jQaAsbJf+tXRRPl3YYLtqr38Olpjos4sVG8vvp3dYLjORh ltaz1xTJN0hpLxsXDNbXy0a7Hhbz2jv4JzrNzguG5Bupgtk1x73DKv+StyUuzTz3DpuWjuJ6MZAO 25GO8HgBkA6eUfS9anzl7+nMGy/00eUbNLX2M5cdBwgjNW0+e4ftQftaXsSjy0asbte89g7bkrbD cYFYxUHmwjQOzG/P91rptH1czWXPy3e+yu3GPPcO9oGOruAGr/o8zIeOlnrBDRzq00ZzY0GuDjdm RvUhbHnk6z21MjX3vcPmoQNyXj+jgxsQLCNz4DtY9cGyNA++g90UaD9z4TvwiVF/TVvh4j1NsXsR jA6bjM5j8cIXIBrD/tbNY5nzQyTdB8fpDIMlyH2NKvPjl5heHRjzQhZLTAeucfaPXgHm1y+xonR0 xItXLMElaEK4sVzzJVZU0GydmR7nXXV2jhem6HOGARL+7BM8u9KOPXigwCa1YhS4pQjosCejkqNc 4Obh91jgwdfqbt/jlndUvfCPXnTm7/e4vkrTV15zogeoNSXpdSYQ54GJ4EZtYC6b+99jf9L+jdeW 6POC0fraUsEHTHOwUM3tHzLXoa1a8/sHTJlObPNaETg8HFmr5u0Pub6/btdc/Px+wdyYkz+imE5g dVvadr6pWlO3Xu8hX8wd7Dvmz0/Amz5O53UdEB/7zV1IZKeYRz+Booreryo6VN4Prqzzog0T7rjU is58ehAvkVNgTv2EwELweubVo0xnvlHFl6Fkrr0iA1wt2Bh6jZuTD18r/mLVdXDyQpSZpw9vK5fR vup1q7KDJwd1oD0Lc/wnQFiPGbzf856E7mMtys0LOTj2RZRU1C17EQWE6bGtUww5eHg14OARYYuX GiYZEQCXI3NUruaCh1drDuUVQGYHD7eZwwEI0EJXTAiuVa7Dki/a1cGxtLCZQ375dbOdjCVAGb/I 4kqUD4ALoXXegFdDgK+DNacHzfMAcLglMGq87gG8kyjA4sUO4HbAOwiatvnqsDUGRzSMLED1QVgp cq9NHvlvs4MgFb8XMICNnQttKsPAqxbAVwABoTHlCQBdXrDygUYY4IHQrfp7lTGA0wPtEjRsSwrF SAMn2qsP4InwOvS8GGmAEkzYTvQr2jJClnrAViQvUZrBGCgpr0ua5y9QUpYNjKUe0aJeOwBKKh9e lJ0x6mC+GF1PjIf8cQw3MC68NgB0HXZviufroTciAcRSRNB6QYCypwQA9tD/AraVrqjsR/9BruJA rV4SXjUUyzHwwv2QP9jDnDUnx97oBHQG+NDfs60J3O6dztfzI/xoOXt+1+wexi2AA44i5X5uHy+R WYOrHl5VXb4DTRukflZ/wvQH5/aMaEDKY0Ar+5n8EX5WsPCMacgGqT714mfvJ6gQbZD6efsx537o GbVMgRFrSRo5fqx+xLW3OsyQjGjI9newRxvRkIdvCl6vargp82HSuMQ9qGfjYELgXpqWybIF8h1i 0ehV8xvxGiwcrS6MaCi3FOjxM6YBaztiOPy4O74ID0auRKMXipEcjKAlDmBpY+quMhKNa8Dqxb6i NyA7zQ4jGYcBgnGq8wPjH/pAd8tst2J1a41lHANeMe/O11iQxjHMHogeXEskwBdz8Tj5ukYtYBaA O/26lkzwdxSsZRMg7gJPJXjFqs/KPhXMv2UUIEKDDU1D1CgFjHxea/TR/ffpyrdXc3KolrG1hbK6 yDq6ph3LN0Dib8B+JaMdyvcCY8N4B5gvIJL0xBnxABsiNF+MecAXkSGgl4KdEsc4h36gcQ+zQRS8 oy0ubDd30QF1my6c14/sATv6jThSTtK8Zoe19AIElZD7cJVPZ7wEdBPa4cvuJX6Mo4BjmjtxDX6c r8gyelVZGgKenQ/2XNVvW4k4PRctWUtLAAkBu1XvUk5XtEhpCdSvpSZkGyigLP08NwJCcMzV2GJz qD52jstpxecHt9EyFrEcUT+tDVcGelpa9X5EG6YqYhlST/m57GYJW1WbaH4YG2XPETyU4+0nsOER RmyqH7uGUYukA2mO+FlrRHJgJwdNmzJcZiJNrnE/VY3hwTYutyQ/St10fZRQ6OenQXnAA9fvaIem gdsIZX5SGpRHEIv309HgJ0D262F02iHjOxod14DjQqLbzxugpM51/iCuwKkrIrMzmgXw487wc2GZ 8/4pX8ioCJy0i1BiyQtjuUBKP68yERMAr+kcP8s8JigiDTrjIQYoLJ2r4aeWB+TT6aw3XFF+HswR JJveIv108oRzPgHWjYTI39OpxH4MeUJUJSjf4BTEIlNIWqs5BbHIcRU9gpa/gAQsBEw01J13WCBv 5you148Ww/rM80MfCRFiI7KBec0u7UeLizmsw9Z+nhhrAMSE3mcszQFGKfZZPSxOTGCjB4t6xYbs J4cx5pGv5ceFiz/AKzZ4obrEzpEPOdCWAQHPAHa3/p6ZDyh2HuQO+GFgjFk+kqOfWFcZko/y8aur xowsQ+A0Xy1TP7odU41Y2EHKXGtHG7Av5GPz8omWHgGGGwENaUO3xlrgRiDs2PqBNluZ99Qlolrj LWC8IlVRL2gjLuB35XzvawbXTjwUF1yT4q2xGJg5WCy6Wz5bSOXVJ/ywC9nuBShch3CjNGCTg3DX k+CcBqpT/Ib3Dg7V1sO0x6f9/vTh5pfV9uVtk0+8Qua4PuS7ss//2Tx+mv+8mA/E7g+P68P8m/MR 2dOn/PVfXq0eTh9X25vnFR747rB/unn9fNhsbxBMI3TMXz4+/4g2VvfbXf7/4367efx+s92WHw7v 377Znlv4/vs8ueW9Lr72YhbNL1ue9HD/tDr8fH7vz09v99v5DXf73frcK/9CPVD81YPEr3GGuL3/ Bv+ZU5z+80eJkQ2KcfUAdLXv87ggfl8/QUmvyvgWCapko82LGjcpEnT4Xpfzqqu0SNDRe6mGay7s LFA1FQqgyTVTtWyRoFP3Wo9W5rFI1IEKy3hVvVsk/Mi9DhLWZVwE6Ly9TiSs63mWkE6SRSnL9+hU vvY6uQQT3zIelO+yyCVaubJ6l/kSRYQAqHcFS3wuIoTAL5OlA41TV13VPF9dffkEP1Yf/vN/e/XB aUbtYD17VWmjQGEUvrWvgTvRXFddXCVq/OWYuWaoSwreYGRL13VU/H5NeNbFUwKY2j6uKwY0s3Tb 6iKBGSX3oroskN8rn2NrAg+SNIStAry4/lLVcDl2rTZpQzqubZLeumEbN5l90VyA5oriYP98/OHt 9lg20g/7X39Yv1/vHv91/fliLz3iL3/Fllm23/P+mn/3ZnX6H6un9W9+/9P68NXf/7g+PKx3p998 /7uPb99u1z9t/saPQq/s1Vaf/uVxlupwhmgc4e2Xvcp/3w8jKgGCWT3bBg+r02l9ePNhdTiVXX+1 fV22f5e4fNLxYbXd7N7n7+4PG7zk6rTZ7+Y2nza7P64+zS0+rc5mBlRMaQxb+ub8PfzKbBN/3ON6 uz5xxx7uV59+3B/nZ7+dHwst8/3T6ebd/vC0Or3ZP65f3v5hvVsfVtvbm+P+I4bth83u5/Xj2frJ dsT/2h/+vHn4+Y8wKOZH7T+ezu+42X35t81u/tMJEphva363/nT68/78t0+zsfN2//j5x8PNYX96 ebu4vfllfcA/PuwPf8tfg0FzPP10+rxdlx+e82/ORtLj+t2fIHf8G14SnsTtzdsivyn///HlbTFy bo6nw+ZndG+3/6n8C19bHdcYe/wumxwX9hN+YDNrtqDza8CwurDGtpiu3c3p8/P63eoBT3p92GDo yiuuV1///cPxa7/Hg+d+lDbOPcOS+HF1WOXebVe79y9v17tv//LT+T0wBIDqqQzew/3DYX88vj5j hEF5/tP6PO+rj6f9/1wfzkNfpL5bn35drw1zj1hduYnzXP9lt6kL5+5sqQF4+4P/PqdRuY+B2iDt P39bTF+8HlbujH/7hy+Ey7f8dy+EfPT0/J51IcBJno1h2L3XLoQyWw/3/z8shIs5vFQT5U//BXPo A3SeEMzR83Z/en1Yr/KUb4se9n/Zgj3MQ71dfcZyn8Gxgzfzg/386Y/QHrNCWD++L17Fw/3nr/2y +kugN8EYgMbCpQkJhxyQgFxgV/cAUEwoRYVjDfg7/oP/zX//dW4FBAOqV08LXHYzIXsDW1hRgg/3 H+rfkZg1YNdGglImPHsELvMKzrjmV8cvvFd7aB38dH7C+fs+KHmo/ro5/ttue/7KucnHzfH5OyzR n4+vz+vs/ep5ftu8X/0+b3X/hkdDnV8++qFuFPM6Xt3PSrAokKsVXtGOX1VEN8+b08OH71dPm+3n l7cg8G5yg8d10bClka9oo78n9J9VVVD968Nutf396rS6OdxvsLkc/uVxduKyevrL8+PqYuPCDLFM mcMycD89Q+m++j8CAAAA//8DAFBLAQItABQABgAIAAAAIQDC7q8uFgEAAKECAAATAAAAAAAAAAAA AAAAAAAAAABbQ29udGVudF9UeXBlc10ueG1sUEsBAi0AFAAGAAgAAAAhAK0wP/HBAAAAMgEAAAsA AAAAAAAAAAAAAAAARwEAAF9yZWxzLy5yZWxzUEsBAi0AFAAGAAgAAAAhAOFRNx/PBgAA5hsAABoA AAAAAAAAAAAAAAAAMQIAAGNsaXBib2FyZC90aGVtZS90aGVtZTEueG1sUEsBAi0AFAAGAAgAAAAh AD12EmV3AQAAGQQAAB8AAAAAAAAAAAAAAAAAOAkAAGNsaXBib2FyZC9kcmF3aW5ncy9kcmF3aW5n MS54bWxQSwECLQAUAAYACAAAACEAZwPuhs4AAACsAQAAKgAAAAAAAAAAAAAAAADsCgAAY2xpcGJv YXJkL2RyYXdpbmdzL19yZWxzL2RyYXdpbmcxLnhtbC5yZWxzUEsBAi0AFAAGAAgAAAAhAGEUZVT2 AAAAbQEAACYAAAAAAAAAAAAAAAAAAgwAAGNsaXBib2FyZC9jaGFydHMvX3JlbHMvY2hhcnQxLnht bC5yZWxzUEsBAi0AFAAGAAgAAAAhAEe8pB7eOQAArB8BABsAAAAAAAAAAAAAAAAAPA0AAGNsaXBi b2FyZC9jaGFydHMvY2hhcnQxLnhtbFBLBQYAAAAABwAHAAQCAABTRwAAAAA= "&gt; &lt;v:imagedata src="file:///C:\Users\SP500\AppData\Local\Temp\msohtmlclip1\01\clip_image011.png"   o:title=""/&gt; &lt;o:lock v:ext="edit" aspectratio="f"/&gt;&lt;/v:shape&gt;&lt;![endif]--&gt;&lt;!--[if !vml]--&gt;&lt;!--[endif]--&gt;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;a href="http://1.bp.blogspot.com/-78Yrd_ex4Y8/UUi5sR1zoCI/AAAAAAAAEyQ/1UNaAFlBTug/s1600/image012.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="211" src="http://1.bp.blogspot.com/-78Yrd_ex4Y8/UUi5sR1zoCI/AAAAAAAAEyQ/1UNaAFlBTug/s320/image012.gif" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;Figure 6. Same as in Figure 5 with an extension into March 2013.&amp;nbsp;&lt;/span&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 14pt; line-height: 115%;"&gt;&lt;o:p&gt;&amp;nbsp;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/6160231542427672402/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/03/time-to-sell-s-500.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6160231542427672402" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6160231542427672402" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/03/time-to-sell-s-500.html" title="Time to sell the S&amp;P 500" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://3.bp.blogspot.com/-DZKnLUW8UFQ/UUi5rh7tfAI/AAAAAAAAEx4/pIIltWetfkw/s72-c/image004.gif" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-8621352377896485587</id><published>2013-03-19T16:13:00.003+01:00</published><updated>2013-03-19T16:13:59.938+01:00</updated><title type="text"> The quality of the Census Bureau's statistics is highly disappointing</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt; &lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US;"&gt;Looking closer at the household income distribution reported by the Census Bureau I found an extremely confusing conflict of data on Gini ratio. There are two tables providing annual Gini ratio estimates for all households: “&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Arial Unicode MS&amp;quot;; mso-fareast-language: EN-GB;"&gt;HINC-01. Selected Characteristics of Households, by Total Money” and “&lt;/span&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;Table H-4.&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;Gini Ratios for Households, by Race and Hispanic Origin of Householder:&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp; &lt;/span&gt;1967 to 2011”. The former estimates are available since 1998 in “&lt;a href="http://www.census.gov/hhes/www/income/data/incpovhlth/2011/index.html"&gt;&lt;span style="color: blue;"&gt;Detailed Tables&lt;/span&gt;&lt;/a&gt;”. Figure 1 reveals a dramatic difference between these two estimates for the same years. The HINC-01 time series does not show any Gini ratio increase between 1998 and 2008 unlike the H-4 series. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;There is a dramatic 0.02 step in 2009 in the HINC-01 series, which is actually fully related to the change in bin counting in 2009: the original $2500 bins between $0 and $100,000 were replaced by $5000 bins between $0 and $200,000. The change in the range and granularity of data resulted in the observed Gini ratio shift. Figure 2 displays the Lorenz curves for the years between 1994 and 2011 as obtained from the household income distributions in the relevant HINC-01 tables. The Gini ratio step of 0.02 is explained by the difference between the 2008 and 2009 Lorenz curves. Therefore, it is of artificial character &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;and the HINC-01 curve would be at the level of 0.45 between 2009 and 2011 if to retain the $2500 bins and $100,000 range. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;We have recalculated the Gini ratio for all years between 1994 and 2011 from the original household income distribution and found that the calculated curve is in excellent agreement with the HINC-01 one between 2005 and 2011 and coincides with the HINC-4 curve from 1994 to 1996. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="color: black; font-family: &amp;quot;Times New Roman&amp;quot;,&amp;quot;serif&amp;quot;; font-size: 12pt; line-height: 115%; mso-fareast-font-family: &amp;quot;Times New Roman&amp;quot;; mso-fareast-language: EN-GB;"&gt;These observation are extremely confusing and likely manifest internal changes in the CB procedures of Gini ratio estimation and publication. We cannot understand why formally identical time series differ so much and why the HINC-4 curve demonstrates a growth tendency while the underlying data do not show any reason for that. This difference has also many political implications since the research community, officials, media, and the blogosphere all discuss the growth in household Gini, which is not the case.&amp;nbsp;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-bqO_KD7igUw/UUiAoQA_2zI/AAAAAAAAExg/E-PckfYJcAc/s1600/image001.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="192" src="http://1.bp.blogspot.com/-bqO_KD7igUw/UUiAoQA_2zI/AAAAAAAAExg/E-PckfYJcAc/s320/image001.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"&gt;&lt;span style="font-family: Calibri;"&gt; &lt;v:stroke joinstyle="miter"&gt; &lt;v:formulas&gt;  &lt;v:f eqn="if lineDrawn pixelLineWidth 0"&gt;  &lt;v:f eqn="sum @0 1 0"&gt;  &lt;v:f eqn="sum 0 0 @1"&gt;  &lt;v:f eqn="prod @2 1 2"&gt;  &lt;v:f eqn="prod @3 21600 pixelWidth"&gt;  &lt;v:f eqn="prod @3 21600 pixelHeight"&gt;  &lt;v:f eqn="sum @0 0 1"&gt;  &lt;v:f eqn="prod @6 1 2"&gt;  &lt;v:f eqn="prod @7 21600 pixelWidth"&gt;  &lt;v:f eqn="sum @8 21600 0"&gt;  &lt;v:f eqn="prod @7 21600 pixelHeight"&gt;  &lt;v:f eqn="sum @10 21600 0"&gt; &lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:f&gt;&lt;/v:formulas&gt; &lt;v:path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"&gt; &lt;o:lock aspectratio="t" v:ext="edit"&gt;&lt;/o:lock&gt;&lt;/v:path&gt;&lt;/v:stroke&gt;&lt;/span&gt;&lt;/v:shapetype&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 1. Gini ratios from HINC-01 (detailed) &lt;span style="mso-spacerun: yes;"&gt;&amp;nbsp;&lt;/span&gt;and HINC-4 (historical) tables.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span style="mso-fareast-language: EN-GB; mso-no-proof: yes;"&gt;&lt;/span&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://3.bp.blogspot.com/-BoJ9cW7TdlU/UUiAsP2_tUI/AAAAAAAAExo/yR3J-UH3BbE/s1600/image002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="300" src="http://3.bp.blogspot.com/-BoJ9cW7TdlU/UUiAsP2_tUI/AAAAAAAAExo/yR3J-UH3BbE/s320/image002.png" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal" style="margin: 0cm 0cm 10pt;"&gt;&lt;span lang="EN-US" style="mso-ansi-language: EN-US;"&gt;&lt;span style="font-family: Calibri;"&gt;Figure 2. The evolution of the Lorenz curves for the household income distribution between 1994 and 2011 in the USA. In 2009, the bin counting was changed from $2500 in the range to $100,000 to $5000 with the upper bin between $195,000 and $200,000. &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/8621352377896485587/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/03/the-quality-of-census-bureaus.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8621352377896485587" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8621352377896485587" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/03/the-quality-of-census-bureaus.html" title=" The quality of the Census Bureau's statistics is highly disappointing" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="http://1.bp.blogspot.com/-bqO_KD7igUw/UUiAoQA_2zI/AAAAAAAAExg/E-PckfYJcAc/s72-c/image001.png" height="72" width="72" /><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-6511525476904000507</id><published>2013-02-27T15:27:00.001+01:00</published><updated>2013-04-27T17:05:03.411+02:00</updated><title type="text">Waveform cross correlation for seismic monitoring of underground nuclear explosions. Part I: Grand master events</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;A new paper is now available via arxiv.org:&lt;br /&gt;&lt;br /&gt;Abstract&lt;br /&gt;&lt;br /&gt;Seismic monitoring of the Comprehensive Nuclear-Test-Ban Treaty using waveform cross correlation requires a uniform coverage of the globe with master events well recorded at array stations of the International Monitoring System. The essence of cross correlation as a monitoring tool consists in a continuous comparison of digital waveforms at a given station with waveform templates from the global set of master events. At array stations, cross correlation demonstrates a higher resolution because the time delays at individual sensors from master and slave events are the same but they may differ from theoretical ones used in standard beamforming. In the regions where master events and thus waveform templates are available, one can reduce the amplitude threshold of signal detection by a factor of 2 to 3 relative to standard beamforming and STA/LTA detector used at the International Data Centre. The gain in sensitivity corresponds to a body wave magnitude reduction by 0.3 to 0.4 units and doubles the number of detected events. This gain is crucial for seismic monitoring under the CTBT. The coverage by real master events is sparse and confined to areas with historical seismicity, however. In two parts of this study, we investigate the possibility to populate the global grid with real and synthetic master events. In Part I, we replicate a high-quality master event over a regular grid several hundred kilometers from its actual position. In Part II, we model waveform templates using synthetic seismograms with the aim to apply them in aseismic zones. Both approaches are tested using the aftershock sequence of the April 11, 2012 Sumatera earthquake (Ms(IDC)=8.2). We used sixteen master events to recover the aftershocks in the Reviewed Event Bulletin of the IDC.&lt;br /&gt;&lt;br /&gt;&lt;a href="http://arxiv.org/ftp/arxiv/papers/1302/1302.6466.pdf"&gt;PDF copy of the paper&lt;/a&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/6511525476904000507/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/02/waveform-cross-correlation-for-seismic.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6511525476904000507" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/6511525476904000507" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/02/waveform-cross-correlation-for-seismic.html" title="Waveform cross correlation for seismic monitoring of underground nuclear explosions. Part I: Grand master events" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-8483189079386076554</id><published>2013-02-27T14:46:00.001+01:00</published><updated>2013-02-27T14:46:52.896+01:00</updated><title type="text">Re-post</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;a class="i-ljuser-username" href="http://starshinazapasa.livejournal.com/"&gt;&lt;b&gt;starshinazapasa&lt;/b&gt;&lt;/a&gt;&lt;br /&gt;&lt;div class="hr"&gt;&lt;hr /&gt;&lt;/div&gt;&lt;h2&gt;&lt;span&gt;Журнал Аркадия Бабченко&lt;/span&gt;&lt;/h2&gt;&lt;div class="hr hr-afterhead"&gt;&lt;hr /&gt;&lt;/div&gt;&lt;div class="entry-wrap"&gt; &lt;dl class="entry hentry" id="post-starshinazapasa-563148"&gt;&lt;dt class="entry-title entry-linkbar"&gt;&lt;span class="entry-linkbar-inner"&gt;&lt;a href="http://starshinazapasa.livejournal.com/562816.html"&gt;&lt;img alt="Previous Entry" border="0" height="24" src="http://l-stat.livejournal.com/img/btn_prev.gif" title="Previous Entry" width="24" /&gt;&lt;/a&gt;&lt;a href="http://www.livejournal.com/tools/memadd.bml?journal=starshinazapasa&amp;amp;itemid=563148"&gt;&lt;img alt="Add to Memories" border="0" height="24" src="http://l-stat.livejournal.com/img/btn_memories.gif" title="Add to Memories" width="24" /&gt;&lt;/a&gt;&lt;a href="http://starshinazapasa.livejournal.com/563148.html#"&gt;&lt;img alt="Share" border="0" height="24" src="http://l-stat.livejournal.com/img/btn_sharethis.gif?v=2" title="Share" width="24" /&gt;&lt;/a&gt;    &lt;a href="http://www.livejournal.com/manage/subscriptions/entry.bml?journal=starshinazapasa&amp;amp;itemid=563148"&gt;&lt;img alt="Track This" border="0" class="TrackButton" height="24" lj_arg1="563148" lj_auth_token="ajax:1361970000:46681287:38:/__rpc_esn_subs:addsub&amp;amp;563148&amp;amp;2&amp;amp;19856618:8c7c9251c34b9bc974875ceca941b93e85439a1c" lj_etypeid="2" lj_journalid="19856618" lj_newentry_etypeid="3" lj_newentry_subid="0" lj_newentry_token="ajax:1361970000:46681287:38:/__rpc_esn_subs:addsub&amp;amp;3&amp;amp;19856618:cbf9fa40d178ac58025607d01cc7f557aa3b1a3a" lj_subid="0" src="http://l-stat.livejournal.com/img/btn_track.gif" title="Track This" width="24" /&gt;&lt;/a&gt;&lt;a href="http://www.livejournal.com/tools/content_flag.bml?user=starshinazapasa&amp;amp;itemid=563148"&gt;&lt;img alt="Flag" border="0" height="24" src="http://l-stat.livejournal.com/img/button-flag.gif" title="Flag" width="24" /&gt;&lt;/a&gt;&lt;a href="http://starshinazapasa.livejournal.com/170375.html"&gt;&lt;img alt="Next Entry" border="0" height="24" src="http://l-stat.livejournal.com/img/btn_next.gif" title="Next Entry" width="24" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/dt&gt;&lt;dt class="entry-title"&gt;Законопроект "Об оскорблении чувств младших научных сотрудников"&lt;a href="http://starshinazapasa.livejournal.com/563148.html" rel="bookmark" style="display: none;"&gt;&lt;/a&gt;&lt;/dt&gt;&lt;dd class="entry-text"&gt;&lt;dl class="vcard author"&gt;&lt;dt&gt;&lt;img alt="" class=" ContextualPopup" height="100" src="http://l-userpic.livejournal.com/88358475/19856618" width="68" /&gt;&lt;/dt&gt;&lt;dd class="username"&gt;&lt;span class="ljuser  i-ljuser     " lj:user="starshinazapasa"&gt;&lt;a href="http://starshinazapasa.livejournal.com/profile"&gt;&lt;img class="i-ljuser-userhead ContextualPopup" height="16" src="http://l-stat.livejournal.com/img/userinfo.gif?v=101.4" width="16" /&gt;&lt;/a&gt;&lt;a class="i-ljuser-username" href="http://starshinazapasa.livejournal.com/"&gt;&lt;b&gt;starshinazapasa&lt;/b&gt;&lt;/a&gt;&lt;/span&gt;&lt;/dd&gt;&lt;dd class="entry-date"&gt;&lt;abbr class="updated" title="2013-02-27T10:03:00+03:00"&gt;February 27th, 10:03&lt;/abbr&gt;&lt;/dd&gt;&lt;/dl&gt;&lt;div class="entry-content"&gt;Как человек, верующий исключительно в науку, начал разрабатывать законопроект об оскорблении чувств доцентов, лаборантов и прочих ученых мужей. Стану депутатом - внесу в Думу.&lt;br /&gt;&lt;br /&gt;За оскорбление "научных чувств ученых" - от трех до пяти. Формулировка специально будет максимально расплывчатой и неконкретной, чтобы можно было посадить любого. Ляпнул, что дважды два пять -  и на двушечку без скощухи. Будьте любезны, присядьте пожалуйста.&lt;br /&gt;За танцы и пение на кафедре (особенно в балаклавах) - два года.&lt;br /&gt;Книги, тетради, учебники, карандаши, ай-пады и пр. и пр. можно будет покупать только в университетской лавке. Учебные пособия, купленные вне университетской лавки, будут считаться антинаучными и знания не принесут.&lt;br /&gt;Российская Академия Наук получит право беспошлинной торговли водкой и сигаретами.&lt;br /&gt;В школах и детских садах будет введено изучение теории Большого Взрыва.&lt;br /&gt;Президент Академии Наук будет ездить на двух "Кадиллаках", которые загоняют в специальный железнодорожный вагон. Охранять его будут сотрудники ФСО. Один, специально приставленный, перед посадкой в автомобиль будет складывать знак Интеграла у него на профессорской шапочке. &lt;br /&gt;Президент Академии Наук будет ездить с мигалкой.&lt;br /&gt;&lt;br /&gt;&lt;a href="http://www.blogger.com/null" name="cutid1"&gt;&lt;/a&gt;&lt;br /&gt;В каждой деревне будет построено по академии или как минимум университету шаговой доступности. Детские сады, библиотеки, общественная собственность - будут отчуждены в их пользу. Жители Валаама будут выселены повторно. Так, чисто за компанию.&lt;br /&gt;Раз в год, в день Большого Взрыва, все вещество, над которым любой лаборант или МНС прочитает теорему Ферма - становится антивеществом. Из-за чего приобретает лечебные свойства, а также не будет тухнуть на протяжении всего остального года.&lt;br /&gt;Здание Академии Наук будет находиться на балансе города. Но внутреннее пространство будет принадлежать Московской Профессуре. Автомойка, банкетные залы, торговые точки - также будут принадлежать Московской Профессуре и не будут облагаться налогом. Потому как будут производить не торговлю, а дарение в обмен на дензнаки по строго установленной таксе.&lt;br /&gt;Засорение нанопылью старых научных фолиантов карается штрафом в 20 млн. рублей.&lt;br /&gt;Появление Президента Академии Наук на публике без часов "Брегетт" не допускается.&lt;br /&gt;В армии будет введен институт Военных Научных Сотрудников. В каждой части будет построено по университету. &lt;br /&gt;Оскорбление в блогах Президента Академии Наук будет преследоваться по закону. ФСБ будет предложено "более дерзко" расследовать такие преступления. &lt;br /&gt;Мы уйдем от вульгарного примитивного понимания креационизма.&lt;br /&gt;Ученых тыкать в каждую телепередачу по поводу и без повода. &lt;br /&gt;За отрицание теории Дарвина будет введена уголовная ответственность.&lt;br /&gt;При попадании даже самых младших научных сотрудников все видеозаписи ДТП мгновенно аннигилируются. &lt;br /&gt;На Московскую же Профессуру с мигалками действие ПДД, а также административного и уголовного кодексов - не распространяется.&lt;br /&gt;Если какой-нибудь председатель ОЗПП Михаил Аншаков вздумает задаться вопросом, почему наше дарение в обмен на строго фиксированную таксу в Храме Науки не является торговлей, а также почему автомойки и прибыль - наша, а ремонт и поддержание здания - на балансе города, бить его по башке монтировкой нещадно, обвинять в клевете и заводить уголовные дела&lt;/div&gt;&lt;/dd&gt;&lt;/dl&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/8483189079386076554/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/02/re-post.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8483189079386076554" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8483189079386076554" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/02/re-post.html" title="Re-post" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-9143431742429926517.post-8348018581842882671</id><published>2013-02-21T08:17:00.001+01:00</published><updated>2013-02-21T08:17:10.683+01:00</updated><title type="text">Re-published from oilprice.com</title><content type="html">&lt;div dir="ltr" style="text-align: left;" trbidi="on"&gt;&lt;h1&gt;&lt;a href="http://oilprice.com/Interviews/The-End-Game-for-Oil-Gas-Juniors-Interview-with-Chris-Cooper.html"&gt;The End Game for Oil &amp;amp; Gas Juniors: Interview with Chris Cooper&lt;/a&gt;&lt;/h1&gt;&lt;div class="meta clear"&gt;    By &lt;a class="black" href="http://oilprice.com/contributors/James-Stafford"&gt;James Stafford&lt;/a&gt; | Wed, 13 February 2013 23:19 | &lt;span class="comments"&gt;0&lt;/span&gt;&lt;div id="social-badges"&gt;&lt;div id="g-plus"&gt;&lt;div id="___plusone_0" style="display: inline-block; float: none; font-size: 1px; height: 24px; line-height: normal; margin: 0px; padding: 0px; text-indent: 0px; vertical-align: baseline; width: 106px;"&gt;&lt;iframe allowtransparency="true" data-gapiattached="true" frameborder="0" hspace="0" id="I0_1361430975357" marginheight="0" marginwidth="0" name="I0_1361430975357" scrolling="no" src="https://plusone.google.com/_/+1/fastbutton?bsv&amp;amp;hl=en-US&amp;amp;origin=http%3A%2F%2Foilprice.com&amp;amp;url=http%3A%2F%2Foilprice.com%2FInterviews%2FThe-End-Game-for-Oil-Gas-Juniors-Interview-with-Chris-Cooper.html&amp;amp;ic=1&amp;amp;jsh=m%3B%2F_%2Fscs%2Fapps-static%2F_%2Fjs%2Fk%3Doz.gapi.en.tkKTzO5ntVY.O%2Fm%3D__features__%2Fam%3DQQ%2Frt%3Dj%2Fd%3D1%2Frs%3DAItRSTMvn3CzF9NBMWOwOZm__SwYB7M5eg#_methods=onPlusOne%2C_ready%2C_close%2C_open%2C_resizeMe%2C_renderstart%2Concircled&amp;amp;id=I0_1361430975357&amp;amp;parent=http%3A%2F%2Foilprice.com&amp;amp;rpctoken=72222154" style="height: 24px; left: 0px; margin: 0px; position: static; top: 0px; visibility: visible; width: 106px;" tabindex="0" title="+1" vspace="0" width="100%"&gt;&lt;/iframe&gt;&lt;/div&gt;&lt;/div&gt;&lt;div id="twitter-badge"&gt;&lt;iframe allowtransparency="true" class="twitter-share-button twitter-count-horizontal" data-twttr-rendered="true" frameborder="0" scrolling="no" src="http://platform.twitter.com/widgets/tweet_button.1360972506.html#_=1361430975651&amp;amp;count=horizontal&amp;amp;id=twitter-widget-0&amp;amp;lang=en&amp;amp;original_referer=http%3A%2F%2Foilprice.com%2FInterviews%2FThe-End-Game-for-Oil-Gas-Juniors-Interview-with-Chris-Cooper.html&amp;amp;size=m&amp;amp;text=The%20End%20Game%20for%20Oil%20%26%20Gas%20Juniors%3A%20Interview%20with%20Chris%20Cooper&amp;amp;url=http%3A%2F%2Foilprice.com%2FInterviews%2FThe-End-Game-for-Oil-Gas-Juniors-Interview-with-Chris-Cooper.html&amp;amp;via=webdesignledger" style="height: 20px; width: 107px;" title="Twitter Tweet Button"&gt;&lt;/iframe&gt; &lt;/div&gt;&lt;div id="facebook-badge"&gt;&lt;iframe frameborder="0" scrolling="no" src="https://www.facebook.com/plugins/like.php?href=http://oilprice.com/Interviews/The-End-Game-for-Oil-Gas-Juniors-Interview-with-Chris-Cooper.html" style="border: currentColor; height: 25px; width: 53px;"&gt;&lt;/iframe&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div id="bannerzone-attention"&gt;&lt;div id="bannerzone5"&gt; &lt;div class="banner" id="banner22"&gt;&lt;span style="color: #0000cc;"&gt;Benefit From the Latest Energy Trends and Investment Opportunities&lt;/span&gt; &lt;b&gt;&lt;i&gt;before the mainstream media and investing public are aware they even exist.&lt;/i&gt;&lt;/b&gt; The Free Oilprice.com Energy Intelligence Report gives you this and much more. &lt;a href="http://oilprice.com/Market-Intelligence-Report.php" style="color: #cc0000;"&gt;Click here to find out more.&lt;/a&gt; &lt;/div&gt;&lt;/div&gt;&lt;!--/#bannerzone5--&gt;&lt;/div&gt;&lt;div id="interview-content"&gt;The oil and gas game can be a tricky one for junior companies, but if played right the pay-off can be massive. At a time when juniors are risking a lot in volatile venues in the Middle East and Africa, Canada’s &lt;a href="http://www.arowayenergy.com/"&gt;&lt;span style="color: blue;"&gt;Aroway Energy&lt;/span&gt;&lt;/a&gt; (ARW) is planting its feet firmly in homeland soil and in conventional plays.&lt;br /&gt;Why? Because for the smaller juniors this is not a long-term game and blowing all your capital to drill a single unconventional well in a risky frontier won’t pay off. Canada still has plenty to offer for juniors, even though you have to kiss plenty of frogs to find the prince. The end game, after all, is merger and acquisition. &lt;div id="box-premium-articles"&gt;&lt;div id="box-premium-articles-top"&gt;&lt;/div&gt;&lt;div id="box-premium-articles-middle"&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="http://oilprice.com/Energy/Crude-Oil/Choosing-the-Right-Oil-Company-to-Own-in-2013.html"&gt;Choosing the Right Oil Company to Own in 2013&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://oilprice.com/Energy/Energy-General/No-Oil-without-Water-Water-Tech-for-the-Future.html"&gt;No Oil without Water: Water-Tech for the Future&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://oilprice.com/Energy/Energy-General/Two-High-Risk-Venues-With-Big-Potential-Payouts-Somaliland-and-Lebanon.html"&gt;Two High Risk Venues, With Big Potential Payouts: Somaliland and Lebanon&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://oilprice.com/Finance/the-Markets/Oil-Market-Forecast-Review-15th-February-2013.html"&gt;Oil Market Forecast &amp;amp; Review 15th February 2013&lt;/a&gt;&lt;/li&gt;&lt;li class="last"&gt;&lt;a href="http://oilprice.com/Geopolitics/Middle-East/IRAN-Behind-the-Scenes-Ahead-of-Kazakhstan-Talks.html"&gt;IRAN: Behind the Scenes Ahead of Kazakhstan Talks&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div id="box-premium-articles-sponsor"&gt;&lt;ul&gt;Featured Sponsor:&lt;/ul&gt;&lt;a href="http://oilprice.com/sponsors/oilprice"&gt;&lt;img alt="OilPrice.com" src="http://oilprice.com/images/sponsors/1/logo.gif" title="OilPrice.com" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;&lt;div id="box-premium-articles-bottom"&gt;&lt;/div&gt;&lt;/div&gt;&lt;br /&gt;In an exclusive interview with Oilprice.com, Aroway CEO Chris Cooper discusses: &lt;br /&gt;&lt;strong&gt;•    How to make or break a junior oil and gas company&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why rail is becoming more attractive than pipeline transit&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why most juniors won’t make it big in risky frontiers&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why Keystone XL will get the green light&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why oil and gas prices will increase&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why the smaller juniors will stick to the conventional plays&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    How the asset market is heating up … and what is ideal&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Why having control of infrastructure is key to success&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    Where Canada’s oil and gas industry will be in a decade&lt;/strong&gt;&lt;br /&gt;&lt;strong&gt;•    What every junior’s goal should be&lt;/strong&gt;&lt;br /&gt;Interview by James Stafford of Oilprice.com&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;Junior oil companies have been storming the scene with some bold investments in tricky frontier areas. Where do you see this going and what will the next phase for the juniors be? Where will the action be, in conventional or unconventional plays? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; I am a big believer in the conventional plays. I find that the non-conventional plays are turning into more of a game for the intermediate-size companies primarily as a result of the capital that is required to exploit the resources. Horizontal wells with multi-stage fracturing is an expensive game. I find that the conventional plays expose juniors to a less risky scenario with higher returns on investment and longer-term production more often than not. &lt;br /&gt;Given the current state of the capital markets and the scarcity of funding, I think the smaller juniors will continue to play in the conventional arena.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What’s the ideal partner for a junior company, and what can make or break it for a junior? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; As far as make or breaking a junior, I believe you need to minimize the company’s risk by drilling wells that are going to give you good internal rates of return and steady production; a good mix of development and exploration wells. It is also very good to have a good operator that is responsible in keeping a control on costs. &lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What separates the good management teams from the mediocre in the Canadian junior oilpatch?&lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;Management teams that have built and sold companies in the past have a responsible, methodical approach to how they run their businesses. More often than not, these teams do not try to re-invent themselves by drilling wells and formations that they have not done in the past. They continue to focus on what they know best, whether it be drilling in the Peace River Arch, chasing Leduc wells, or focusing on cardium wells. They often do not stray from their formulas and that is why they are good teams.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;More Canadian oil is now being marketed by rail.  Can you put the rail versus pipeline transport comparisons into perspective for us from a Canadian operating perspective? &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;A lot of companies, including Aroway, are capitalizing on the benefits of moving their oil via rail as opposed to pipeline.  I think it will increase our netback, our profit per barrel, by several dollars immediately.&lt;br /&gt;For instance, before we purchased our West Hazel Property in Skaskatchewan, the owners would truck to Talisman or another big operator that was pipeline-connected. Then, once the oil got to the pipeline-connected operator, they had to pay a certain amount of money to get it in the pipeline for diluents to meet pipeline specifications. Then they had to pay for the pipeline tariff and then they got the price the pipeline operator provided wherever they were on the pipeline.&lt;br /&gt;So for example, the last month we got $53 to $54 a barrel, after the blend-in tariff for our West Hazel production, which is probably the lowest you’re going to see for a long time. Our netback on that oil was still greater than $20 a barrel. But for that $53.32 a barrel we sold, if transported by rail, we remove the pipeline tariff, we remove the blend for the diluents and we get $9 more added to the netback value.&lt;br /&gt;So what we’ll end up doing is trucking our oil from the field to a company called Altex Energy, which is partly owned by Shell Canada. Shell owns all the railway cars and all these railway cars get filled up with heavy crude and shipped down to their Port Arthur facility on the Gulf Coast. At Port Arthur what typically happens to our crude--because it’s somewhere between 11 and 13 degree oil—is it goes straight into bunker fuel for ships.&lt;br /&gt;So the refinery doesn’t have to touch it in some cases and that’s where we get a pretty substantial bump. Then you’re not subject to pipeline apportion and issues. It just opens up whole new markets for you.&lt;br /&gt;                        &lt;br /&gt;At the end of the day we will  get somewhere around $66 or $63 a barrel this month and then we’re going to bump that up by another $9 next month by taking all the crude we have in West Hazel by rail. So our netback will be $35 to $40--and that’s just the West Hazel crude.&lt;br /&gt;&lt;strong&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;&lt;/strong&gt;What is the market like for assets right now, from a junior’s perspective? What’s the ideal prospect? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; Asset sales are heating up. We are finding that there are a lot of assets being marketed through companies like &lt;a href="http://www.sayeradvisors.com/"&gt;Sayer&lt;/a&gt; and &lt;a href="http://nrgdivestitures.com/"&gt;NRG Divestments&lt;/a&gt;. There are also several larger brokerage firms representing companies for “strategic alternatives.”  &lt;br /&gt;As an example, Aroway just picked up a great producing asset in Saskatchewan for $10,000/flowing barrel. The market for similar assets in Saskatchewan at that time was about $40,000/flowing barrel. Companies need to exercise patience and do their due diligence. Not to mention kissing a lot of frogs to find these types of assets. They are out there.&lt;br /&gt;  &lt;br /&gt;&lt;strong&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;&lt;/strong&gt;A lot of North American juniors are hitting the riskier frontiers with all they’ve got these days—from Iraqi Kurdistan to Sudan, even Somalia. Why are they willing to take this risk and is it paying off?  &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;With higher risk comes higher reward, but I don’t think it is paying off in the broader sense. Sure, there are 2 or 3 juniors that have hit home runs, but more often than not a junior is going into those types of plays with only $5 or $10 million in the treasury and they blow this after drilling just one well. I have always believed there is great opportunity offshore, but the risks are lower and infrastructure and political stability in North America is in place.  There is plenty of opportunity in North America.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;Related to this, where do you see Canada’s oil and gas industry 10 years from now? &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;I see the oil and gas industry in Canada continuing to grow with the advancement of new drilling techniques and new innovations in exploiting existing pools to increase the recoverability. We have a stable political system in place which enables business opportunity to grow in Canada.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;We hear a lot about Alberta, but what kind opportunities are we looking at in Saskatchewan?&lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; Saskatchewan is definitely open for business. The royalties paid in Saskatchewan are very low and the production opportunities are very good. We are actively looking for new opportunities in Saskatchewan.&lt;br /&gt;  &lt;br /&gt;&lt;strong&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;&lt;/strong&gt;Do you lend any significance to Canadian media reports that the Cabinet is reviewing some new legislation that would set stiff payouts for the oil industry for accidents? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; Personally, I think it is part of the grand plan to help the approval process. My theory is that the Canadian government will lay out a plan for big fines and then push to have the pipelines approved. The construction of pipeline projects creates jobs and would be good for the economy.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;Do you think this is simply a carrot for the protesters at a time when the Enbridge hearings are raising tensions? &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;There will always be protesters.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What do you see happening to energy markets in 2013? &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;I see the price of oil and gas both increasing. They are depleting resources….it’s an inevitable function of supply and demand.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What are your views on the Keystone XL Pipeline? Do you think it is likely that Obama will approve its construction, and if so how will this affect your business? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; I think he will approve it. The Governor of Nebraska gave the new route the okay. I think now that Obama has been re-elected he will go ahead and approve. Again, that is a lot of job-creation for an economy that is struggling. More pipelines are good for Canadian producers as it helps get our oil to market.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What are Aroway’s top three plays, and why? &lt;br /&gt;&lt;img alt="Aroway plays" border="0" height="346" src="http://oilprice.com/js/common/tinymce/jscripts/tiny_mce/plugins/imagemanager/files/AE1441.png" title="Aroway plays" width="471" /&gt;&lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; Our current plays all have different risk and production profiles. We have a large inventory and land spread in our JV lands in the Peace River Arch, which provide a healthy mix of development and exploration risk. Very big upside in this play. &lt;br /&gt;Our West hazel production play is a very stable, long-term production scenario that we feel will provide great cash flow and netbacks to the company. For little investment we feel we can substantially increase production at West Hazel.  &lt;br /&gt;&lt;img alt="Aroway Primary Plays" border="0" height="435" src="http://oilprice.com/js/common/tinymce/jscripts/tiny_mce/plugins/imagemanager/files/AE1442.png" title="Aroway Primary Plays" width="472" /&gt;&lt;br /&gt;Our Kirkpatrick Lake and Little bow lands in central Alberta are also very prospective properties that have the ability to turn into new core areas for the company. All our properties are oil focused and are highly prospective.&lt;br /&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;What can we expect from Aroway in 2013? &lt;br /&gt;&lt;strong&gt;Chris Cooper: &lt;/strong&gt;I am confident 2013 will be a big growth year for Aroway. We will continue to drill on our existing properties and leverage our production and financial position to take advantage of existing and upcoming opportunities in the sector as far as acquisitions and potential farm-in opportunities. We are confident it will be a big year for our shareholders.&lt;br /&gt;&lt;strong&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;&lt;/strong&gt;2013 has been touted as the year of the merger and acquisition. As one of the hottest investments around at the moment, do you think that Canadian junior oil &amp;amp; gas companies, like yourselves, will become a favoured target for larger oil companies looking to expand? &lt;br /&gt;&lt;strong&gt;Chris Cooper:&lt;/strong&gt; I think I can speak for most junior companies when I say, ‘I hope so’. There are a lot of big companies that need to fill the production gaps in their natural depletion, thus in some cases forcing big companies to do that through acquisition. I think the goal for most juniors is to be taken over by a bigger company at a nice premium for the shareholders.&lt;br /&gt;&lt;strong&gt;&lt;strong&gt;James Stafford: &lt;/strong&gt;&lt;/strong&gt;Thanks for your time Chris. For those of you interested in finding out more about Aroway please visit their website at: &lt;a href="http://www.arowayenergy.com/"&gt;http://www.arowayenergy.com/&lt;/a&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel="replies" type="application/atom+xml" href="http://mechonomic.blogspot.com/feeds/8348018581842882671/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://mechonomic.blogspot.com/2013/02/re-published-from-oilpricecom.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8348018581842882671" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/9143431742429926517/posts/default/8348018581842882671" /><link rel="alternate" type="text/html" href="http://mechonomic.blogspot.com/2013/02/re-published-from-oilpricecom.html" title="Re-published from oilprice.com" /><author><name>Ivan Kitov</name><uri>https://plus.google.com/107130698588871870805</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="32" src="//lh4.googleusercontent.com/-4nwUeuUl10Q/AAAAAAAAAAI/AAAAAAAAExU/Jr6jo1hEidk/s512-c/photo.jpg" /></author><thr:total>0</thr:total></entry></feed>
