{"id":2114373,"date":"2019-10-08T15:53:23","date_gmt":"2019-10-08T10:23:23","guid":{"rendered":"http:\/\/stockviz.biz\/index.php\/?p=2114373"},"modified":"2019-10-08T15:53:38","modified_gmt":"2019-10-08T10:23:38","slug":"equal-weighted-vs-cap-weighted","status":"publish","type":"post","link":"https:\/\/stockviz.biz\/index.php\/2019\/10\/08\/equal-weighted-vs-cap-weighted\/","title":{"rendered":"Equal-Weighted vs. Cap-Weighted"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">There are a number of ways in which you can allocate funds (weigh) the stocks in your portfolio. The simplest of them are equal-weight and market-cap weight.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In an equal-weight portfolio, all stocks get the same allocation. If you have 20 stocks, then each stock would have a 5% weight in the portfolio. So the WAVG capitalization of these portfolios end up skewing towards mid\/small caps within the portfolio.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a cap-weight portfolio, each stock gets an allocation based on its market-capitalization. So large-cap stocks get a large weight and smaller-cap stocks get a smaller weight.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The advantage of a cap-weight portfolio is that unless you want to change the constituents, you don&#8217;t have to do anything. The individual weights will be always tracking their corresponding market-caps. But in an equal-weight portfolio, you need to rebalance once a month\/quarter to bring back all the constituents to their original weights. You will be selling your winners to add to your losers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Needless to say, the all-in cost of maintaining an equal-weight portfolio will be more than that of a cap-weigh portfolio. Is it worth it?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The American Experience<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">For the US markets, lucky for us, <a rel=\"noreferrer noopener\" aria-label=\"Wilshire Indices (opens in a new tab)\" href=\"https:\/\/wilshire.com\/indexes\" target=\"_blank\">Wilshire Indices<\/a> has index data covering both the market-cap and equal-weight versions of the same portfolio starting from 1970. And the over-all out-performance of the equal-weight portfolio looks spectacular.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire-1024x512.png\" alt=\"\" class=\"wp-image-2114383\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire-1024x512.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire-300x150.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire-768x384.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire-250x125.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-cumulative-wilshire.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Cap-weight vs. Equal-weight<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Whenever you see out-performance like this, you have to keep in mind that it is usually a combination of <em>investor behavior<\/em> and <em>investment risk<\/em>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The reason why an investment strategy out-performs could be because it is prone to long draw-downs followed by large, but short-lived, upswings. Investors flood into the strategy during the upswing, only to exit during the soul-crushing drawdown. Happens in <em>value <\/em>and <em>momentum<\/em> investing a lot.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The second reason why something works is because of higher volatility. Stocks are more volatile than bonds so over a long enough period of time, they out-perform them. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To visualize if <em>investor behavior<\/em> is driving out-performance, you can look for the swings in annual returns and periods for which the strategy under-performs its benchmark.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire-1024x512.png\" alt=\"\" class=\"wp-image-2114393\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire-1024x512.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire-300x150.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire-768x384.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire-250x125.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-annual-wilshire.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Large swings imply difficulty of staying invested<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire-1024x512.png\" alt=\"\" class=\"wp-image-2114403\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire-1024x512.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire-300x150.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire-768x384.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire-250x125.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/market-eq-num-out-wilshire.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Long periods of under-performance imply difficulty of staying invested<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"> The equal-weighted index also has a larger standard-deviation (a measure of volatility) ~6% compared to ~4.4% of the market-cap index.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In short, equal-weighted portfolios are more volatile and there are significant periods where they under-perform their cap-weighted cousins in the short-term. This results in a larger probability of adverse investor behavior, partly explaining the out-performance over a longer period of time.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">However, we don&#8217;t live in the 70&#8217;s anymore. The market structure has evolved. Costs have come down drastically and more investors are aware of the equal-weight strategy. If you think liquidity is thin in small-cap stocks today, it was impossible to trade them 20 years ago unless your uncle ran a brokerage firm. So some of the earlier-period excess returns are only theoretical &#8211; you could not implement this strategy even if you knew about it.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, is it still a free-lunch? One way to visualize this is to plot the Information Ratio of the equal-weight returns over that of market-cap returns.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index-1024x512.png\" alt=\"\" class=\"wp-image-2114413\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index-1024x512.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index-300x150.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index-768x384.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index-250x125.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/index.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>No longer a free lunch!<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Equal-weight, as a strategy, has been losing its mojo and maybe, its best days are behind it. Excess returns could be entirely explained by higher risk.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">The Indian Experience<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">It maybe too early for a large commitment to equal-weight portfolios in India. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">First, India has a Securities Transaction Tax of 0.1% on the total notional amount traded. So, a market-cap weight portfolio that is rebalanced twice a year will have a far lower cost than an equal-weight portfolio that is rebalanced every month.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Second, there is no liquidity beyond the top 70-100 names by market-cap. So one cannot create an equal-weight version of the NIFTY 500 index. An equal-weighted NIFTY 50 is probably the only version that makes sense if you want to reduce impact costs. NIFTY 100 is the second-best option.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you go with NIFTY 50, an equal weight portfolio of 50 stocks means than each stock has a 2% weight. Since you are constantly selling winners and buying losers, low dispersion in returns between their returns will have a big impact on the relative performance of the equal-weighted portfolio over its cap-weighted cousin.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, YESBANK, at its peak, had a 1.74% weightage in the NIFTY 50. And its recent troubles have brought it down to about 0.18%. In the equal-weighted NIFTY 50, this would have been a constant 2% through-out. Not exactly participating fully in the up-side but doubling down on the down-side.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81-1024x576.png\" alt=\"\" class=\"wp-image-2114433\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81-1024x576.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81-300x169.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81-768x432.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81-250x141.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/45812aa45ca56314f67357336da459f81.png 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Price chart of YESBANK since it was added to NIFTY 50 in March 2015<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">YESBANK wouldn&#8217;t have been a big problem if we were equal-weighting the NIFTY 500. But it is a problem with NIFTY 50.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"585\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911-1024x585.png\" alt=\"\" class=\"wp-image-2114443\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911-1024x585.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911-300x171.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911-768x439.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911-250x143.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/8fa77d8b9c4d2183a18547591d964d911.png 1400w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>NIFTY 50: cap-weight out-performs<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"585\" src=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1-1024x585.png\" alt=\"\" class=\"wp-image-2114453\" srcset=\"https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1-1024x585.png 1024w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1-300x171.png 300w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1-768x439.png 768w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1-250x143.png 250w, https:\/\/portalvhds29z8xdrqhczq.blob.core.windows.net\/wordpress\/2019\/10\/e8148b54448318d4110c8432bfd46ffa1.png 1400w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption> NIFTY 100: cap-weight out-performs <\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">As expected, the gap between NIFTY 50 equal\/cap is huge compared to that between NIFTY 100 equal\/cap.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Equal-weighting may not be &#8220;free lunch.&#8221; Excess returns are could mostly be explained by higher risk.<\/li><li>Makes sense only on large portfolios. Maybe 500 stocks is the magic number.<\/li><li>We wary of costs.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Reference<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>Portfolio selection: the power of equal weight (<a rel=\"noreferrer noopener\" aria-label=\"arvix (opens in a new tab)\" href=\"https:\/\/arxiv.org\/pdf\/1602.00782.pdf\" target=\"_blank\">arvix<\/a>)<\/li><li><a rel=\"noreferrer noopener\" aria-label=\"notebook (opens in a new tab)\" href=\"https:\/\/github.com\/stockviz\/plutons\/blob\/master\/market-cap.vs.equal.weight.ipynb\" target=\"_blank\">notebook<\/a> with R code for the plots.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Questions? <a href=\"https:\/\/join.slack.com\/t\/plutonation\/shared_invite\/enQtNzI5Njg3NTkzNzYwLWE2NzI0ODM5N2FjMDQ2ZjMwMWRlY2FmNWZkYzU1OGFhY2NhNzg3MDM0MjEwMmZjNWI2MThlMjZiNWJiMjEwYjM\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Slack me (opens in a new tab)\">Slack me<\/a>!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>All things being the same, equal-weighted portfolios are over-rated.<\/p>\n","protected":false},"author":2,"featured_media":2106273,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3471],"tags":[1270,3391],"class_list":["post-2114373","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-investing-insight","tag-investing","tag-nifty","entry","has-excerpt"],"_links":{"self":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/posts\/2114373","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=2114373"}],"version-history":[{"count":0,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/posts\/2114373\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/media\/2106273"}],"wp:attachment":[{"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/media?parent=2114373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/categories?post=2114373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stockviz.biz\/index.php\/wp-json\/wp\/v2\/tags?post=2114373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}