They Can’t All Be That Smart

Smart Beta is a label applied broadly to all factor-based investment strategies. In a recent WSJ article on Smart Beta, Yves Choueifaty, the CEO of Tobam, said “There’s a huge range of possibilities in the smart-beta world, and they can’t all be that smart.” This paper separates the factor investing landscape, gives a framework to analyze the edge of various approaches and lets you decide which factor-based strategy is worth your money.

Analysis of a factor-investing strategy should focus on two of the manager’s skills: the ability to identify specific factors that accurately generate out-performance and the manager’s technique in constructing a portfolio of stocks with those factors. Factors are not commodities, and one should know how managers are selecting stocks, but we are focusing on portfolio construction and the soundness of different approaches.

Active share can be a useful tool in this investigation. Active share by itself is not a metric that inherently identifies manager skill. Nor is it the best metric to determine the risk of the portfolio versus an active benchmark. Tracking error is a more comprehensive metric for the trailing differences in the portfolio returns and Information Ratios to understand the balance of how much active risk you are taking for active return. But active share is a very useful tool in investigating the choices managers make in building factor portfolios.

Through the lenses of active share, tracking error, and information ratios, we consider the relative merits of factor-based portfolio construction approaches: Fundamental Weighting, Smart Beta and Factor Alpha. Understanding the differences between these approaches will help you better incorporate factors into your overall portfolio.

Fundamental Weighting
Most benchmarks weigh constituents by market capitalization. Some factor investing approaches pivot away from weighting on market cap, and weighting on another fundamental factor like sales or earnings. The argument for these strategies is that weighting by market cap is not the smartest investment solution out there: the top quintile of the S&P 500 by market cap underperforms the average stock by -0.65% annualized1, and market cap weighting allocates 65% of the benchmark to those largest names.

For a comparison of fundamental weighting schemes, the table below shows the characteristics and annualized returns for weighting on Market Cap, Sales, Earnings, Book Value of Equity and Dividends. There are some benefits to the approach, for example eliminating companies with negative earnings. On average, about 8.3% of Large Stocks companies are generating negative earnings2, and avoiding those is smart. The largest benefit is an implied value-tilt to the strategy: over-weighting companies with strong earnings and average market caps creates an implicit Price/Earnings tilt. This is apparent in the characteristics table: Sales-weighting gives the cheapest on Price/Sales, Dividend-Weighted gives the highest yield, etc.

But pivoting from market cap to a fundamental factor weighting scheme does not create large risk-return benefits. Raw fundamental factors correlate highly with market cap; companies with huge revenues tend to have large market caps. As of December 31st, 2016, weighting on Earnings has a 0.85 correlation with weighting on market capitalization3. In market cap weighting, the top 25 names are 34% of the portfolio. In an earnings-weighted scheme those same 25 companies are still 34% of the portfolio, just shifting weights a bit from one name to another.

Active share shows how little fundamental weighting moves the portfolios, with active shares in the 20-30% range. Excess returns range from slightly underperforming market cap to outperforming by +72bps. The modest excess return comes with much higher active risk, and tracking errors ranging from 4.5% to 5.8%. This generates poor information ratios, the ratio of active return to active risk.

Market Cap Weighted vs. Earnings Weighted - December 31st, 2016
Portfolio Weight for Market Cap Weighted vs. Earnings Weighted – December 31st, 2016


Characteristics and Annualized Returns by Weighting Scheme (U.S. Large Stocks, 1963-2016)
Characteristics and Annualized Returns by Weighting Scheme (U.S. Large Stocks, 1963-2016)

The reason that the risk-return benefits are small is because Fundamental Weighting is an indirect allocation to a Value strategy. Value investing on ratios is identifying investment opportunities with the comparison of a fundamental factor in the context of the price you pay. Fundamental weighting is only taking half of the strategy into account, looking for large earnings but ignoring the price you’re paying for them. Some Fundamental Weighted products will be more sophisticated than simply weighting on sales, earnings, book value or dividends. But weighting on fundamental factors instead of market cap doesn’t create a significant edge.

Risk-Focused versus Return-Focused
A post by Cliff Asness at AQR suggested that Smart Beta portfolios should be minimizing active share. Smart Beta portfolios are “only about getting exposure to the desired factor or factors while taking as little other exposures as possible.” This statement cemented the idea that there is a group of Smart Beta products that are risk-focused in nature: Start with the market portfolio, identify your skill and then take only the exposure on those factors.

In evaluating this portfolio construction technique, let’s suspend the idea that we’re all starting with unique factors and take a hypothetical example where the skill of all portfolio managers is a generic factor with only three states: Good, Neutral and Bad. Most of the stocks (80%) are Neutral and give a market return, with an equal amount of Good Stocks at alpha of +4%, and Bad Stocks underperforming at -4%. To establish some terminology: the strength of the signal is +4% alpha and the breadth of the signal is the top and bottom 10%.

Hypothetical Alpha: 10% Bad Stocks, 10% Good Stocks, 80% Neutral Stocks

In the risk-focused Smart Beta framework, you only deviate from the benchmark when you have strong conviction. In this case, start with the market, and then “sell” (do not own) the 10% of the market you’ve identified as Bad Stocks to “buy” (double down on) the 10% you’ve identified as Good Stocks. For the remaining 80% of the market, you have no edge, so match the market portfolio. The logic seems sound: you’ve maximized the usage of your skill within your risk-focused framework. Only change the stocks you have an opinion on, and if you have no opinion, leave the portfolio at market exposure.

Risk-Focused Smart Beta

Another equally viable framework is to focus on returns first. Using the same example where there is a group of stocks with an excess return of +4% annualized, a return-focused manager would only own stocks from that group and then try to balance out the risks of the portfolio to match the market’s risk factors. Let’s call this the “Factor Alpha” approach, focusing on maximizing excess returns first and then controlling for risks.

Return-Focused Factor Alpha

Portfolio Construction in Practice
A sensitivity analysis based on a single factor can test how the breadth of signal affects the risk-return profile of either approach. The universe for this analysis is a modified Russell 1000. The market-cap weighting methodology of the Russell benchmark includes a long tail of mid-cap to small-cap names. To get around this, only the top 95% of names by market-cap are included, trimming a long-tail of small-cap companies. Portfolios are formed monthly with a 12-month holding period, with analysis on the combined portfolio.

The factor used in the analysis was Shareholder Yield, the net return of capital through dividend yield and buyback yield. The following chart show the annualized returns for portfolios grouped into deciles by Shareholder Yield. There is significant outperformance from the best decile and underperformance from the worst decile. The relative performance narrows quickly, with declining utility in the second and third deciles. The returns of the fourth to seventh decile demonstrate little edge and these groups should be considered low-conviction.

Excess Return by Shareholder Yield Decile, Russell 1000 Constituents vs. Equally Weighted Universe 1968-2016
Excess Return by Shareholder Yield Decile, Russell 1000 Constituents vs. Equally Weighted Universe 1968-2016

Using Yield as our basic alpha signal, the analysis was run for both the Smart Beta approach and the Factor Alpha approach, using a different cutoff for the breadth of signal. The universes are the same, and the alpha signal is the same, but we are scaling in how much confidence we have in our alpha signal. For the Smart Beta approach, we are increasing the active component of the portfolio and reducing the passive component by increments of 2.5%. To be specific, at 10%, we have trimmed the top and bottom deciles, equally weighted the names within the top decile with the combined weight of both groups. For the Factor Alpha approach, we are only purchasing the groupings based on the top x%, and incrementally decreasing the concentration of the portfolio by 2.5%. At 10%, we are only purchasing the equally-weighted top decile, and no other constituents.

The excess return and tracking error match our intuitive expectations: the Smart Beta approach starts with little excess return and little active risk, and both return and risk scale up the more active one gets. The Factor Alpha approach starts with high excess return and higher active risk and scales down the broader the portfolio gets. What’s interesting is that the Information Ratio, the balance of active returns and risk converge fairly quickly. To be fair, for the first few groupings, the Smart Beta approach is working from a very low tracking error where a shift in excess return of just a few basis points has a significant impact on information ratio. But by the time the portfolio gets to the top decile, the information ratios from each approach converge. The Smart Beta and Factor Alpha approaches generate very competitive risk-return profiles, although the overall level of active return and risk are higher in the Factor Alpha Approach.

In both approaches, the Information Ratio then degrades the further you dig deeper into your alpha signal. The reason for the degradation is that benefit of the alpha signal. For Shareholder Yield, the active return drops off more quickly than the active risk, degrading the risk-return profile for either approach. A key aspect of Modern Portfolio Theory is the Benefit of Diversification: the total risk of the portfolio is reduced by holding more securities. In factor investing, there is also a Benefit of Concentration: the total return of the portfolio is increased by holding securities with stronger factors. As you dig deeper to lower conviction names in the active component of the portfolio, the edge from factor returns is diluted.

Excess Return, Tracking Error, Information Ratio and Active Share of Smart Beta vs. Factor Alpha
Sensitivity Analysis on Increasing Active Universe, Russell 1000 Universe, 1968-2016.  x-axis is the percentage of the Shareholder Yield used to form the portfolio with the Smart Beta or Factor Alpha approach.

To keep this example in context, this is a very basic case using one factor as the alpha signal. Active quantitative managers have a greater number of factors available to them than just Yield and can boost their alpha signal beyond the single factor. But for large cap stocks, Shareholder Yield provides a pretty reasonable expectation on alpha signals: the best and worst stocks by a factor will have the strongest out and underperformance, but as the characteristics degrade the excess returns diminish. Alpha signals are just not as effective as the universe broadens. It is unlikely that a manager has discovered the perfect investment signal separating the universe in half between equal conviction winners from losers. When evaluating a manager’s construction choices, one should search for conviction around the breadth of their alpha signal.

Using Risk Controls
Changing weighting schemes creates active risk with the passive market-cap weighted benchmark. The portfolio construction process used above was basic as the active constituents were equally weighted. This active weighting creates the opportunity for outperformance, but also creates differences with the benchmark. Part of this risk comes from the alpha source: investing in high yielding companies does generate excess return over long periods of time, but can also create periods of time when it underperforms. But some of the risk comes from other bets created when the portfolio is formed: differences in sectors, like an overweight to Energy, or differences in factors, like an underweight to Market Cap.

Sector differences are a large driver in these differences of returns. The following table shows some of the choices made in the basic analysis above. When trimming the bottom 5% of stocks by market cap to avoid small caps, you introduce 46bps of tracking error. But when moving from the market-cap weighted portfolio to equally-weighted constituents, the tracking error jumps to over 4%. This is the same universe of stocks as the market cap weighted, but simply unwinding the market-cap factor used in the passive benchmark creates large active risk for the portfolio.

To manage active risk, you can adjust the portfolio from equally-weighted to a risk-controlled weighting on sectors. In the basic example below, controlling for active sector allocations, and shaping the portfolio back to the same weightings as the benchmark, can remove over 125bps of the active risk.

Tracking Error, Russell 1000 Universe 1968-2016
Tracking Error, Russell 1000 Universe 1968-2016

The question is how broad of a portfolio do you need in order to take advantage of risk controls like sector awareness. Taking this same usage of sector risk-controls back to the Factor Alpha framework, another analysis was run utilizing the same percentages of Shareholder Yield, but with an additional set of risk-controls to reduce exposures versus the benchmark. To be explicit, the portfolios are formed selecting on the best of a factor, but instead of equally-weighting the stocks we see if we can shape the portfolio to get the sector exposures as close as possible to the benchmark. Sector weightings are not neutralized, as the focus is on generating excess return through factors, but they are more controlled than in an equally-weighted portfolio.

With highly concentrated portfolios of only 2.5% to 5% of the universe, there is little room to maneuver the portfolio sectors. But by the time we have expanded to just the top decile of the factor, which is only about 30 to 50 names, risk-controls are able to shape the portfolio and reduce the overall active risk. This approach reduces active risk while maintaining the same profile of excess returns and active exposures versus the benchmark, increasing the risk-adjusted return through the information ratio significantly.

Excess Return, Tracking Error, Information Ratio and Active Share of Smart Beta vs. Factor Alpha. Sensitivity Analysis Increasing Active Universe, Russell 1000 Universe 1968-2016
Excess Return, Tracking Error, Information Ratio and Active Share of Smart Beta vs. Factor Alpha. Sensitivity Analysis Increasing Active Universe, Russell 1000 Universe 1968-2016

There are a number of ways to introduce risk controls, through risk models or explicit constraints. And Smart Beta also has the ability to add risk controls. The difference is again going to be on the philosophy of what is being delivered. The Smart Beta approach starts with de minimus risk, and gradually dials up alpha. A Factor Alpha approach has the ability to deliver significant excess return while managing active risk in the portfolio.

Validating Portfolio Construction through the Lens of Active Share
Not all factor-based investing approaches are smart, but there are several different ways to construct smart portfolios. Both Smart Beta and Factor Alpha approaches can generate strong risk-return profiles, with one approach focusing on risk while the other focuses on returns, but in either approach there can be misalignment between the return of factors and the portfolio construction methodology.

When analyzing a factor portfolio, you should understand 1) the breadth of the excess return from the alpha signal and 2) whether the manager is using a risk-focused Smart Beta or return-focused Factor Alpha approach. In either approach, active share should line up with where signal conviction diminishes. If they don’t, it’s possible that the manager has a misalignment in portfolio construction.

Analyzing Fees through the Lens of Active Share
Active share also helps to establish what the fee of a product should be. It disaggregates the passive component of every strategy, contextualizing the fees being paid to an active manager. Fees are under a tremendous pressure in our industry. The 2016 ICI Factbook shows that since 2000, the average fee paid to equity mutual fund managers has declined from 99bps to 68bps, a decline of 31%. The shift to passive management has been a component of this, but fee renegotiation is part of the decline. The average fee on active equity has declined from 106bps to 81bps, a decline of 21%, which means about half of the decline in overall fees paid is from compression of the fees paid to active management.

Active share gives transparency to what you are paying for. The average passive index fund is at 11bps. The lowest cost ETFs are trading at 5bps, and large institutions can get passive exposure for a single basis point. What active share gives is a quick metric into how much of the portfolio is passive, with the idea that the passive component of investments is commoditized.

The difference between a Smart Beta and a Factor Alpha approach to building a portfolio shows why there should be a different fee structure between the two approaches. Smart Beta comes with a large passive component to its portfolio, which should come at passive costs. The Factor Alpha approach has little passive exposure because the bulk of its investments are driven by the skill of the manager.

Both Smart Beta and Factor Alpha approaches allow for exposure to factors which can enhance returns, but the implementations are very different. After you figure out your cost for market access, there are only two inputs to determine what one should be willing to pay for a manager: what’s the estimated skill on the active component of the portfolio, and how much are you willing to pay for that skill?

Once those two numbers are determined, they are simply inputs into the formula. Let’s propose a smart beta example where the cost of passive market access is 10bps, and the skill of the alpha is determined to be 4% and you’re prepared to pay 20% of alpha to get access to that skill. Based on the active share, you can determine an expected fee for the portfolio no matter the approach that it’s using.

Hypothetical Fee Calculation for Smart Beta vs. Factor Alpha, active fees based on 20% of Active Skill, passive fee at 10bps
Hypothetical Fee Calculation for Smart Beta vs. Factor Alpha, active fees based on 20% of Active Skill (excess return), passive fee at 10bps for market access

Active share helps identify misalignments between construction methodology and fees in the industry. is a website launched in 2016 that has constituent data for mutual funds and exchange traded funds and explicitly calculates the Active Fee using this same methodology, and can help investors determine misalignments. Misalignments in portfolio construction isn’t just limited to quantitative managers. Fundamental managers also struggle with quantifying their skill and how to implement it in a portfolio. With either approach, one should analyze low-active share portfolios with average to above-average fees to determine whether they have an incredible alpha source on their active component, or whether they are misconstructed or mispriced. High active share at below-average fees offer an opportunity for lower cost access to investment skill, and the investigative burden should center on validating the skill of the manager.

Understand the Source of Alpha: Factors are not commodities, and can differ greatly between quantitative managers. It’s important to know the strength of outperformance in the best names, but also have an understanding of the breadth of the signal. The broader the alpha, the more appropriate it is to have a higher active share in Smart Beta, and a lower active share in a Factor Alpha approach. Most alphas degrade quickly after the top decile and turn low conviction by the top third of the universe.

Smart Beta and Factor Alpha start with Different Goals: Smart Beta is an approach focused on minimizing risk, while Factor Alpha is focused on maximizing the excess return versus the benchmark. Both provide similar information ratios, which degrade at a rate determined by the alpha signal. But to borrow a common phrase in finance, “you can’t eat an Information Ratio.” To be more explicit, returns are going to achieve investors’ funding goals, not risk controls. Investors looking for returns should consider Factor Alpha portfolios.

Risk Controls Matter: With either approach, having a layer of risk controls significantly improves the risk-return profile.  In Factor Alpha, you can maintain the excess return while lowering the excess risk, improving the Information Ratio significantly.

Investigate Portfolios for Construction Alignment and Fees: Knowing a manager’s investment focus, active share, and alpha signal allow for an advisor to determine if there is a misalignment in the construction of the portfolio. Active share also helps determine whether the investment solution is priced appropriately.


1. Analysis from 1963-2016. S&P 500 constituents from 1990-2016, largest 500 Compustat companies from 1963-1990.
2. Large Stocks is U.S. Compustat stocks with a market capitalization greater than average. Analysis from 1982-2016.
3. Large Stocks is U.S. Compustat stocks with a market capitalization greater than average, as of December 30th, 2016.



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