{"id":831608,"date":"2020-08-16T06:30:49","date_gmt":"2020-08-16T06:30:49","guid":{"rendered":"https:\/\/stockviz.biz\/index.php\/2020\/08\/16\/factors-intro\/"},"modified":"2021-09-14T08:43:36","modified_gmt":"2021-09-14T03:13:36","slug":"factors-intro","status":"publish","type":"post","link":"https:\/\/stockviz.biz\/index.php\/2020\/08\/16\/factors-intro\/","title":{"rendered":"Factors, Intro"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">First came the market, then came the factors&#8230;<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\">The Efficient Market Hypothesis<\/h2>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Two economists walk down a road and they see a twenty dollar bill lying on the side-walk. One of them asks \u201cis that a twenty dollar bill?\u201d Then the other one answers \u201cIt can\u2019t be, because someone would have picked it up already,\u201d and they keep walking. (<a href=\"https:\/\/www.reddit.com\/r\/Jokes\/comments\/6a4ovi\/two_economists_walk_down_a_road\/\">source<\/a>)<\/p><\/blockquote>\n\n\n\n<p>In 1965, Eugene Fama published his dissertation arguing for the random walk hypothesis. i.e., stock market prices evolve according to a random walk (so price changes are random) and thus cannot be predicted. This was followed by Paul Samuelson, who published a proof showing that if the market is efficient, prices will exhibit random-walk behavior. (<a href=\"https:\/\/en.wikipedia.org\/wiki\/Efficient-market_hypothesis\">source<\/a>) <\/p>\n\n\n\n<p>Together, they form the basis of the efficient market hypothesis (EMH).<\/p>\n\n\n\n<p>The efficient market hypothesis (EMH), is a hypothesis that states that share prices reflect all information and consistent alpha generation is impossible. According to the EMH, stocks always trade at their fair value on exchanges, making it impossible for investors to purchase undervalued stocks or sell stocks for inflated prices. Therefore, it should be impossible to outperform the overall market through expert stock selection or market timing, and the only way an investor can obtain higher returns is by purchasing riskier investments. (<a href=\"https:\/\/www.investopedia.com\/terms\/e\/efficientmarkethypothesis.asp\">source<\/a>)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Inefficiencies are opportunities<\/h2>\n\n\n\n<p>Any market practitioner knows that this is not entirely true. There are numerous hurdles in the way of pure efficiency:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><p>Information is not free. <\/p><\/li><li><p>Liquidity is not unlimited.<\/p><\/li><li><p>Prices are not continuous.<\/p><\/li><li><p>Market statistics are forever in flux.<\/p><\/li><li><p>Investors have different goals and pursue different outcomes.<\/p><\/li><li><p>Taxes, rules and regulations.<\/p><\/li><\/ol>\n\n\n\n<p>According to EMH, a portfolio\u2019s return could be fully explained by the market (<a href=\"https:\/\/corporatefinanceinstitute.com\/resources\/knowledge\/finance\/alpha\/\">source<\/a>):<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><em><strong>r<\/strong><\/em><strong> = r<\/strong><code>f<\/code><strong>+ <\/strong><em><strong>\u00df<\/strong><\/em><strong>(r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code><strong>) + \u03b1  <\/strong><\/h5>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><p><em><strong>r <\/strong><\/em>= Expected rate of return<\/p><\/li><li><p><em><strong>rf&nbsp;<\/strong><\/em>= Risk-free rate<\/p><\/li><li><p><em><strong>\u00df<\/strong><\/em><strong> <\/strong>= Beta<\/p><\/li><li><p><em><strong>(rm&nbsp;\u2013 rf)<\/strong><\/em>=&nbsp;Market risk premium<\/p><\/li><\/ul>\n\n\n\n<p>This is a single-factor model. i.e., portfolio returns are only explained by market risk (<strong>r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code>: market risk premium.) Whatever cannot be explained by the market is <strong>\u03b1<\/strong>, or the portfolio manager\u2019s skill.<\/p>\n\n\n\n<p>However, if you setup a portfolio in certain ways, you <em><strong>consistently <\/strong><\/em>ended up with higher returns, implying that there was something about the market, something systematic, that was not being captured by this equation. So, if you were rewarding a portfolio manager only on the basis of <strong>\u03b1<\/strong> calculated from the above equation, then you were probably over-paying the PM for harvesting something that the market offered for \u201cfree.\u201d<\/p>\n\n\n\n<p>In 1992, Eugene Fama and Kenneth French designed a model to fix this &#8211; the Fama\u2013French three-factor model.<\/p>\n\n\n\n<p>The Fama-French model aims to describe stock returns through three factors: (1) market risk (<strong>r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code>: market risk premium,) (2) the outperformance of small-cap companies relative to large-cap companies (<strong>SMB<\/strong>: Small Minus Big,) and (3) the outperformance of high book-to-market value companies versus low book-to-market value companies (<strong>HML<\/strong>: High Minus Low.) The rationale behind the model is that high value and small-cap companies tend to regularly outperform the overall market. (<a href=\"https:\/\/corporatefinanceinstitute.com\/resources\/knowledge\/finance\/fama-french-three-factor-model\/\">source<\/a>)<\/p>\n\n\n<p><a class=\"image-link image2 image2-59-600\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg57.png\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg49.png\" width=\"600\" height=\"59\" data-attrs=\"{&quot;src&quot;:&quot;https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg49.png&quot;,&quot;height&quot;:59,&quot;width&quot;:600,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:5560,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image\/png&quot;,&quot;href&quot;:null}\" alt=\"\"><\/a><\/p><a class=\"image-link image2 image2-59-600\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg57.png\" rel=\"noopener\">\n<style><![CDATA[\n          a.image2.image-link.image2-59-600 {\n            padding-bottom: 9.833333333333332%;\n            padding-bottom: min(9.833333333333332%, 59px);\n            width: 100%;\n            height: 0;\n          }\n          a.image2.image-link.image2-59-600 img {\n            max-width: 600px;\n            max-height: 59px;\n          }\n        ]]><\/style>\n<\/a><p><a class=\"image-link image2 image2-59-600\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg57.png\" rel=\"noopener\"><\/a><\/p>\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><p><em><strong>r<\/strong><\/em>= Expected rate of return<\/p><\/li><li><p><em><strong>rf&nbsp;<\/strong><\/em>= Risk-free rate<\/p><\/li><li><p><em><strong>\u00df&nbsp;<\/strong><\/em>= Factor\u2019s coefficient (sensitivity)<\/p><\/li><li><p><em><strong>(rm&nbsp;\u2013 rf)<\/strong><\/em>=&nbsp;Market risk premium<\/p><\/li><li><p><em><strong>SMB(Small Minus Big)<\/strong><\/em>&nbsp;= Historic excess returns of small-cap companies over large-cap companies<\/p><\/li><li><p><em><strong>HML(High Minus Low)<\/strong><\/em>&nbsp;= Historic excess returns of value stocks (high book-to-price ratio) over growth stocks (low book-to-price ratio)<\/p><\/li><li><p><em><strong>\u218b<\/strong><\/em>= Risk, or <strong>\u03b1 <\/strong><\/p><\/li><\/ul>\n\n\n\n<p>Think of SMB and HML as \u201cbase-rates.\u201d A portfolio\u2019s returns can now be explained by the degree of <em><strong>tilt <\/strong><\/em>(factor cofficients, <strong>\u00df<\/strong>s) it has towards <em>value<\/em> (HML) and <em>small-caps <\/em>(SMB). Furthermore, you can set up incentives for the portfolio manager that incorporates these factors so that he is rewarded only if he can out-perform a generic small-cap\/value portfolio.<\/p>\n\n\n\n<p>The academic definition of <em>value (HML)<\/em> and <em>small-caps (SMB)<\/em> is quite different from what investors are used to colloquially. Fama and French were interested in the decomposition of portfolio returns into sub-components (factors) and the persistence of these factors over many years\/decades. They did this by constructing SMB and HML as long-short portfolios and analyzing the spread. It is <em><strong>very<\/strong><\/em> different from what the media refers to by these terms. It is useful to think of these as <em>spreads <\/em>and not as typical long-only \u201cvalue\u201d portfolio.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">No pain, No gain<\/h2>\n\n\n\n<p>Just because these factors are persistent, doesn\u2019t mean that they are always positive. A simple way to visualize this is to see the cumulative returns of the market risk premium (MKT = <strong>r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code>) over SMB and HML. <\/p>\n\n\n<p><a class=\"image-link image2 image2-800-1400\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg58.png\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg52.png\" width=\"1400\" height=\"800\" data-attrs=\"{&quot;src&quot;:&quot;https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg52.png&quot;,&quot;height&quot;:800,&quot;width&quot;:1400,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:29334,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image\/png&quot;,&quot;href&quot;:null}\" alt=\"\"><\/a><\/p><a class=\"image-link image2 image2-800-1400\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg58.png\" rel=\"noopener\">\n<style><![CDATA[\n          a.image2.image-link.image2-800-1400 {\n            padding-bottom: 57.14285714285714%;\n            padding-bottom: min(57.14285714285714%, 800px);\n            width: 100%;\n            height: 0;\n          }\n          a.image2.image-link.image2-800-1400 img {\n            max-width: 1400px;\n            max-height: 800px;\n          }\n        ]]><\/style>\n<\/a><p><a class=\"image-link image2 image2-800-1400\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg58.png\" rel=\"noopener\"><\/a><a class=\"image-link image2 image2-728-1456\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg59.png\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg55.png\" width=\"1456\" height=\"728\" data-attrs=\"{&quot;src&quot;:&quot;https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg55.png&quot;,&quot;height&quot;:728,&quot;width&quot;:1456,&quot;resizeWidth&quot;:null,&quot;bytes&quot;:115279,&quot;alt&quot;:null,&quot;title&quot;:null,&quot;type&quot;:&quot;image\/png&quot;,&quot;href&quot;:null}\" alt=\"\"><\/a><\/p><a class=\"image-link image2 image2-728-1456\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg59.png\" rel=\"noopener\">\n<style><![CDATA[\n          a.image2.image-link.image2-728-1456 {\n            padding-bottom: 50%;\n            padding-bottom: min(50%, 728px);\n            width: 100%;\n            height: 0;\n          }\n          a.image2.image-link.image2-728-1456 img {\n            max-width: 1456px;\n            max-height: 728px;\n          }\n        ]]><\/style>\n<\/a><p><a class=\"image-link image2 image2-728-1456\" target=\"_blank\" href=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/ffcdn\/ffimg59.png\" rel=\"noopener\"><\/a><\/p>\n\n\n<p>There are periods of both out-performance and under-performance. In fact, one of the theories proposed to explain the persistence of these factors is behavioral: investors herd into <em>value<\/em> or <em>small-caps<\/em> based on recent out-performance. Thus, setting them up for subsequent under-performance. Upon which, they will exit <em>en masse<\/em>, allowing the factors to out-perform once again. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The real world is messy<\/h2>\n\n\n\n<p>Most investors are long-only. Whey we buy a <em>value<\/em> fund, for example, we are not really buying a Fama-French HML long-short portfolio. Our portfolios have a market beta and a bunch of other things affecting it besides <em>high book-to-price ratio<\/em>. <\/p>\n\n\n\n<p>To <a href=\"https:\/\/www.portfoliovisualizer.com\/etf-and-mutual-fund-factor-regressions\">visualize<\/a> this, if we decompose the iShares Russell 1000 <strong>Value <\/strong>ETF, IWD, to its 3-factors, we get: <\/p>\n\n\n\n<p><strong>r<\/strong><code>f<\/code><strong> + 0.92<\/strong>*(<strong>r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code>) <strong>&#8211;<\/strong> <strong>0.06<\/strong>*SMB <strong>+<\/strong> <strong>0.35<\/strong>*HML + \u03b1<\/p>\n\n\n\n<p>Compared to iShares Russell 1000 <strong>Growth <\/strong>ETF, IWF:<\/p>\n\n\n\n<p><strong>r<\/strong><code>f <\/code><strong>+ 1.03<\/strong>*(<strong>r<\/strong><code>m<\/code> &#8211; <strong>r<\/strong><code>f<\/code>) <strong>&#8211;<\/strong> <strong>0.05<\/strong>*SMB <strong>&#8211;<\/strong> <strong>0.27<\/strong>*HML + \u03b1<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusion<\/h2>\n\n\n\n<p>The Fama-French 3-Factor model is a useful tool to analyze investment portfolios. It allows us to decompose returns to different factors so that we can better understand the drivers of returns.<\/p>\n\n\n\n<p><strong>Coming up next:<\/strong> <a href=\"https:\/\/stockviz.biz\/index.php\/2020\/08\/23\/factors-the-famous-5\/\">The Fama-French 5-Factor model<\/a>.<\/p>\n\n\n\n<p>Enjoy our discussion:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Factors, an Introduction\" width=\"1020\" height=\"574\" src=\"https:\/\/www.youtube.com\/embed\/f5zn9bSVeas?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>First came the market, then came the factors&#8230; The Efficient Market Hypothesis Two economists walk down a road and they see a twenty dollar bill lying on the side-walk. One of them asks \u201cis that a twenty dollar bill?\u201d Then the other one answers \u201cIt can\u2019t be, because someone would have picked it up already,\u201d &hellip; <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3471],"tags":[2761],"class_list":["post-831608","post","type-post","status-publish","format-standard","hentry","category-investing-insight","tag-quant","entry"],"_links":{"self":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/posts\/831608","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/comments?post=831608"}],"version-history":[{"count":0,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/posts\/831608\/revisions"}],"wp:attachment":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/media?parent=831608"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/categories?post=831608"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/tags?post=831608"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}