{"id":920,"date":"2022-04-01T16:30:30","date_gmt":"2022-04-01T16:30:30","guid":{"rendered":"https:\/\/sharpely.in\/blogs\/active-passive-and-smart-beta-part-5-smart-beta-strategies\/"},"modified":"2026-06-03T15:48:24","modified_gmt":"2026-06-03T15:48:24","slug":"active-passive-smart-beta-part-5-smart-beta-strategies","status":"publish","type":"post","link":"https:\/\/sharpely.in\/blogs\/active-passive-smart-beta-part-5-smart-beta-strategies\/","title":{"rendered":"Active, Passive and Smart Beta: Part 5 \u2013 Smart Beta Strategies"},"content":{"rendered":"<p>This is final part of the 5-part series on Active, Passive and Smart Beta strategies.<\/p>\n<p>So far, we have discussed Active and Passive strategies and did a detailed comparison &#8211; <a href=\"\/blogs\/active,-passive-and-smart-beta:-part-2-\u2013-active-vs-passive-investing\" rel=\"noopener noreferrer\" target=\"_blank\">Active vs Passive Investing<\/a>. We also introduced the concept of Factors, Risk Premium and Multi Factor models (<a href=\"\/blogs\/active,-passive-and-smart-beta:-part-4-\u2013-systematic-factors-and-risk-premium\" rel=\"noopener noreferrer\" target=\"_blank\">Systematic Factors and Risk Premium<\/a>).<\/p>\n<p>Factor investing is the core of Smart Beta strategies. More specifically, the ability to harvest the underlying risk premium of \u201cSystematic\u201d Factors if what Smart Beta is all about.<\/p>\n<h2><strong>A Recap of Investment Strategy Landscape<\/strong><\/h2>\n<p>In Part 1 (<a href=\"\/blogs\/active,-passive-and-smart-beta:-part-1-\u2013-an-introduction\" rel=\"noopener noreferrer\" target=\"_blank\">An Introduction<\/a>) we looked at the overall investment strategy landscape and how these 3 styles fit into it.<\/p>\n<p>Let\u2019s do a quick recap.<\/p>\n<p>Active, Passive and Smart Beta &#8211; these 3 styles broadly cover the entire gamut of Investment strategies. Note that Active and Smart Beta styles are very broad categories themselves.<\/p>\n<p>Comparing these strategies along the dimensions of Manager Discretion, Fees and trading costs and Capacity, we get the following table:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"data:image\/png;base64,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\"\/><\/p>\n<p>And the figure below provides a visual representation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" 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is Smart Beta?<\/strong><\/h2>\n<p>Smart Beta is sometime misunderstood as Factor Indices such as Nifty 200 Momentum 30 Index which takes exposure to the Momentum Factor. While these indices are indeed Smart Beta indices, Smart Beta strategies are not limited to these indices.<\/p>\n<p>A more general definition of Smart Beta strategies would be as follows \u2013 Any <strong>transparent<\/strong> and <strong>rule-based<\/strong> strategy that aims to harvest factor risk premium beyond the market risk premium.<\/p>\n<p>As can be seen from the figure above, the Smart Beta spectrum is fairly broad. On the left, you have single-factor indices (and strategies replicating them) while on the right, you can have multi-factor strategies with complex and esoteric factors.<\/p>\n<p>Let\u2019s look at some examples:<\/p>\n<p>An <strong>Index Fund<\/strong> that aims to replicate Nifty 200 Momentum 30 Index &#8211; UTI Nifty200 Momentum 30 Index Fund). This strategy has exposure to 2 factors \u2013 Market and Momentum. This strategy is on the left of the Smart Beta spectrum. Interested readers can check the methodology of Momentum Index <a href=\"https:\/\/www.niftyindices.com\/Methodology\/Method_NIFTY_Equity_Indices.pdf\" rel=\"noopener noreferrer\" target=\"_blank\">here<\/a>.<\/p>\n<p>Now consider a Fund that goes equal weight on <strong>top 30 Value stocks<\/strong> (unlike the Index Fund which is market-cap weighted). Basically, in this stylized example, stocks from Nifty 500 are screened based on their P\/E ratio and portfolio is constructed by equally weighting bottom 30 stocks. A new portfolio is created every quarter. Exposure is primarily to Value and Market factors. This strategy lies in the middle of Smart Beta spectrum.<\/p>\n<p>Now let\u2019s consider a <strong>Value and Momentum Fund<\/strong> where the weights are based on the strength of Value and Momentum signals combined. Suppose each stock in Nifty 500 is assigned a Value score and a Momentum score. We take an average of both the scores (standardized) and arrive at the final score. We pick top 30 stocks and weight them according to the score. This will have exposure to Value, Momentum and Market Factor. This is an example of a strategy which is towards the right end of the spectrum.<\/p>\n<p>All these are long-only strategies and hence Market factor is implicit. Any strategy that is long-only will always have exposure to the market Factor. In order to remove the impact of Market, we have to resort to long-short portfolios as discussed in <a href=\"\/blogs\/active,-passive-and-smart-beta:-part-4-\u2013-systematic-factors-and-risk-premium\" rel=\"noopener noreferrer\" target=\"_blank\">Systematic Factors and Risk Premium<\/a>.<\/p>\n<p>The core idea is that Smart Beta strategies can be constructed in multiple ways to take the desired exposure to <strong>one or more <\/strong>factors <strong>(across one or more asset classes)<\/strong> and these factors <strong>need not be limited<\/strong> to the known ones &#8211; Value, Momentum, Size, Low Volatility and Quality.<\/p>\n<p><em>Many managers use multi-factor models to forecast risk and return and use that as an input for portfolio construction. We would club these strategies in the \u201cactive\u201d bucket as there is an explicit notion of forecast (views) involved.<\/em><\/p>\n<h2><\/h2>\n<h2><strong>\u201cSystematic\u201d Factors translate into \u201cSmart\u201d Beta<\/strong><\/h2>\n<p>While Smart Beta strategies can be constructed using multiple Factors, it is important that the underlying factors are <strong>systematic<\/strong>. In other words, if the underlying factors are not systematic, the beta isn\u2019t smart.<\/p>\n<p>Just to quickly recap, <strong>systematic<\/strong> <strong>factors<\/strong> are those that cannot be diversified or arbitraged away. In other words, the risk premium associated with these factors will not disappear.<\/p>\n<p>If a strategy is constructed using factors that are not systematic, the risk premium will soon vanish due to arbitrage forces. Simply put, an intelligent manager who finds a unique undiscovered factor can outperform for a while. But soon, it will be arbitraged away.<\/p>\n<p>So how do we know if a particular factor is systematic? Data mining or short-term anomalies can make a factor appear systematic when they are not. We address this question in the next section.<\/p>\n<h2><strong>The Factor Recipe<\/strong><\/h2>\n<p>As discussed in the previous section, the key to constructing a Smart Beta strategy is to identify systematic factors.<\/p>\n<p>Investment industry is flooded with factors ranging from technical indicators, fundamental indicators, alternative data signals. Which one work and which doesn\u2019t? More importantly, which factors will <strong>continue<\/strong> to work in the future?<\/p>\n<p>In Part 4 (<a href=\"\/blogs\/active,-passive-and-smart-beta:-part-4-\u2013-systematic-factors-and-risk-premium\" rel=\"noopener noreferrer\" target=\"_blank\">Systematic Factors and Risk Premium<\/a>), we discussed 4 factors \u2013 Size, Value, Momentum and Low Volatility. We saw that Size premium has all but vanished. On the other hand, Value, Momentum and Low Volatility premium appears to be robust.<\/p>\n<p>Identifying a systematic factor that will continue to earn a positive premium in future is a challenging task. And to exacerbate the matter further, even systematic factors change over time as markets go through major structural shifts. Size might have been a systematic factor till 80s but lost its mojo post that (maybe due to technology revolution). Research has shown that Value did not command a premium is earlier half of previous century.<\/p>\n<p>Having said that, Factor recipe is straightforward:<\/p>\n<ol>\n<li>Factor must have exhibited a positive (and statistically significant) risk premium across time periods and across markets.<\/li>\n<li>The underlying risk premium can be explained by some rational or behavioural logic.<\/li>\n<li>There should be sufficient research to back both the points above.<\/li>\n<\/ol>\n<p>Given this recipe, Value, Momentum and Low Volatility factors make the cut. Investors can take exposure to these factors along with the market factor (and duration and credit risk factors for bonds).<\/p>\n<p>What is the optimal exposure and how to construct such portfolios? Well, these are topics for another day.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learn how Smart Beta strategies aim to harvest factor risk premiums beyond the market risk premium through transparent and rule-based approaches. Explore different examples of Smart Beta strategies, from single-factor indices to multi-factor portfolios, and understand the importance of systematic factors in constructing effective Smart Beta strategies.<\/p>\n","protected":false},"author":6,"featured_media":919,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,7,11],"tags":[],"class_list":["post-920","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-etfs","category-mutual-funds","category-research-tools","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"_links":{"self":[{"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/posts\/920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/comments?post=920"}],"version-history":[{"count":1,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/posts\/920\/revisions"}],"predecessor-version":[{"id":1069,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/posts\/920\/revisions\/1069"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/media\/919"}],"wp:attachment":[{"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/media?parent=920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/categories?post=920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sharpely.in\/blogs\/wp-json\/wp\/v2\/tags?post=920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}