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The Low Volatility Anomaly: Overconfidence Bias

This series offers an expansive look at the Low Volatility Anomaly, or why lower risk stocks have historically produced stronger risk-adjusted returns than higher risk stocks or the broader market. This article hypothesizes that cognitive biases like the overconfidence bias contribute to the Low Volatility Anomaly. Like previous pieces in this series, this article covers a deviation between model and market that may contribute to the outperformance of low volatility strategies. A cognitive bias is a deviation in judgment where people draw inferences in an illogical fashion. As discussed in the last piece in this ongoing series on lottery preferences , cognitive biases can impact investment decision-making and likely contribute to the Low Volatility Anomaly. This article will discuss an additional cognitive biases that could contribute to this phenomenon – the overconfidence bias. The overconfidence bias suggests that a person’s subjective confidence in their own judgment is reliability greater than the objective accuracy of those judgments. The most oft cited example of the overconfidence bias is the 1980 finding by Ola Svensson that ninety-three percent of American drivers rate themselves better than the median. Traveling back from the highway to the Capital Asset Pricing Model (CAPM) assumptions, the model calls for homogeneous investor expectations, including expected values, standard deviations, and correlation coefficients. Valuing investments necessarily involves forecasting as a means to assessing tradeoffs between risk and return. Empirical evidence suggests that most people form confidence intervals that are too narrow. Borrowing from studies by Fischoff, Slovic, and Lichtenstein (1977) and Alpert and Raiffa (1982) , I conducted a similar study during a lecture to a fixed income class at my undergraduate alma mater in the fall of 2014. The students were asked a set of ten questions with numeric answers and asked to bound their answer by a confidence interval such that there was a ninety percent chance that their numeric answer would fall within the range. The ten questions were as follows: What is the population of the state? What is the seating capacity of the football stadium? What is number of different undergraduate majors at the University? What were the revenues of the athletic program in the previous year? What was the number of degrees conferred in the most recent academic year? What is the current yield level of the 30-year Treasury? What is the size of the U.S. Gross Domestic Product? What was the total number of jobs created in the U.S. in 2014? What was the total number of automobiles sold in the U.S? What is the U.S. Median Household Income? At a ninety percent confidence interval, half the class should have had nine or more results inside their confidence interval. Of the roughly thirty-five students, none had nine. Or eight. Or seven. Or six. Two students had five of their answers inside their bounds, but most of the students had between two and four. The class was overconfident. The first five questions were on the world around them at college, and the second five questions were on basic economic statistics. These topics should have yielded far better forecasts than the multi-year prognostications of market or security variables inherent in investment selection. The students did poorly – as poorly as the author when he first completed a similar exercise. The point of the exercise (aside from breaking up the monotony of my lecture) was to illustrate the overconfidence bias to the class. Overconfidence can drastically damage investment returns. Given the geographic proximity of the university to some of the nation’s leading onshore oil and gas resources, the rapid and unexpected drawdown in oil prices at the time of the lecture and the related implications on energy-related assets proved salient to the audience. Additional examples of the overconfidence bias given in the lecture included persistent overestimates of economic growth from the International Monetary Fund and Federal Reserve post-crisis, and the poor job of private and public sector economists at forecasting long-term interest rates, which were at the time rallying sharply in the face of consensus estimates for rising rates. Like the students surveyed, professional investors have proved similarly overconfident. Active managers implicitly assume that they are capable of beating their benchmark despite long-run evidence demonstrating that the average active manager fails to accomplish this feat on average over time ( Fama, French 2009 ). The collective overconfidence by the cadre of active managers violates that CAPM assumption of rationality and could be a factor that contributes to the Low Volatility Anomaly. If a manager is truly as skilled as they believe, then participation in higher volatility segments of the market offer the largest return proposition to capitalize on their perceived skill. If that same manager believed that the market was likely to fall, then they would not choose to invest in low volatility assets, which would outperform on a relative basis, but choose to exit the market entirely to outperform on an absolute basis. This overconfidence bias then likely contributes to the outperformance of low volatility stocks (referenced by SPLV ) relative to high beta stocks (referenced by SPHB ) depicted in the introductory article to this series . Further connecting the overconfidence bias to investment returns, we see more activity from market optimists than pessimists. Perhaps married to the market frictions inherent in the Leverage Aversion Hypothesis , the market in general is far less likely to short high volatility assets than it is to buy them. With skeptics more often sidelined than short, high beta assets with a more diffuse set of opinions on forward returns will then have more optimists among their holders, potentially pushing prices higher and future returns lower. In coming articles, I will highlight additional empirical evidence on the Low Volatility Anomaly, including utilization by a great investment mind, examples in fixed income, and examples crossing over between the equity and fixed income markets. I will then feature some ways in which Seeking Alpha readers can look to exploit the Low Volatility Anomaly in their portfolios. Disclaimer My articles may contain statements and projections that are forward-looking in nature, and therefore, inherently subject to numerous risks, uncertainties and assumptions. While my articles focus on generating long-term risk-adjusted returns, investment decisions necessarily involve the risk of loss of principal. Individual investor circumstances vary significantly, and information gleaned from my articles should be applied to your own unique investment situation, objectives, risk tolerance, and investment horizon. Disclosure: I am/we are long SPLV. (More…) I wrote this article myself, and it expresses my own opinions. I am not receiving compensation for it (other than from Seeking Alpha). I have no business relationship with any company whose stock is mentioned in this article.

The Low Volatility Anomaly And The Delegated Agency Model

Summary This series offers an expansive look at the Low Volatility Anomaly, or why lower risk stocks have historically produced stronger risk-adjusted returns than higher risk stocks or the broader market. This article hypothesizes that the combination of a cognitive bias and an issue around market structure could contribute to the Low Volatility Anomaly. This article covers a deviation between model and market that may contribute to the outperformance of low volatility strategies. In the last article in this series , I demonstrated that the aversion of certain classes of investors to employing leverage flattens the expected risk-return relationship as leverage-constrained investors bid up the price of risky assets. In addition to the inability to access leverage for long-only investors, the typical model of benchmarking an institutional investor to a fixed benchmark (i.e. the S&P 500 represented through SPY ) could also potentially produce a friction to exploiting the mispricing of low volatility assets (represented through SPLV ). If a security with a beta of 0.75 produces the same tracking error as a security with a beta of 1.25, investors may be more willing to invest in the higher beta security with the belief that it is more likely to generate higher expected returns per unit of tracking error. In this framework, if the investor believes that the higher beta security is going to deliver 2% of alpha and that the higher and lower beta assets are going to have the same tracking error relative to the index, then the investor would not purchase the lower beta asset unless it was expected to earn alpha of more than 2%. An undervalued low beta stock with a positive expected alpha, but an alpha below the expected alpha of a higher beta stock with an equivalent expected tracking error, would be a candidate to be underweight in this framework despite offering both higher expected return and lower expected risk than the broad market. This investor preference results in upward price pressure on higher beta securities and downward price pressure on lower-beta securities that could be a factor in the lower realized risk-adjusted returns of higher beta cohorts depicted in the introductory article in this series . In a foreshadowing of the next article on the potential influence that cognitive biases have on shaping the relationship between risk and return, the difference between absolute wealth and relative wealth could be an important distinction that influences the behavior of delegated investment managers. Richard Easterlin (1974) found that self-reported happiness of individuals varied with income at a point in time, but that average well-being tended to be very stable over long time intervals despite per capita income growth. The author argued that these patterns were consistent with well-being depending more closely on relative income than absolute income. This preference for relative outperformance rather than absolute outperformance may signal why some managers think of risk in terms of tracking error rather than absolute volatility. In perhaps a more salient example, Robert Frank (2011) illustrated the relative utility effect through an experiment that showed that the majority of people would rather earn $100,000 when peers were earning $90,000 than earn $110,000 when peers were earning $200,000. Among the assumptions underpinning CAPM is that investors maximize their personal expected utility, but these studies suggest that investors in effect seek to maximize relative and not absolute wealth. Similar to leverage aversion detailed in the last article, the preference for relative utility could be another CAPM violation that contributes to the Low Volatility Anomaly. Gauging performance versus a benchmark is a form of maximizing relative utility, and has become an institutionalized part of the investment management industry perhaps to the detriment of the desire to capture the available alpha in our low beta asset example. I am not trying to minimize tracking error in my personal account, I am trying to generate risk-adjusted returns to grow wealth over time. As I have demonstrated in this series, academic research has shown that low volatility stocks have outperformed on a risk-adjusted basis since the 1930s. Disclaimer My articles may contain statements and projections that are forward-looking in nature, and therefore inherently subject to numerous risks, uncertainties and assumptions. While my articles focus on generating long-term risk-adjusted returns, investment decisions necessarily involve the risk of loss of principal. Individual investor circumstances vary significantly, and information gleaned from my articles should be applied to your own unique investment situation, objectives, risk tolerance, and investment horizon. Disclosure: I am/we are long SPLV, SPY. (More…) I wrote this article myself, and it expresses my own opinions. I am not receiving compensation for it (other than from Seeking Alpha). I have no business relationship with any company whose stock is mentioned in this article.

The Low Volatility Anomaly: Leverage Aversion Hypothesis

This series digs deeper into the Low Volatility Anomaly, or why lower risk stocks have historically produced stronger risk-adjusted returns than higher risk stocks or the broader market. The CAPM links expected returns with an asset’s sensitivity to systematic risk, but the model assumptions are impractical. This article covers a deviation between model and market that may contribute to the outperformance of low volatility strategies. Given the long-run structural alpha generated by low volatility strategies, I am dedicating a more detailed discussion of the efficacy of this style of investing. In the first article in this series , I provided an introduction to the strategy with a simple example demonstrating a low volatility factor tilt (replicated through SPLV ) from the S&P 500 (NYSEARCA: SPY ) that has generated long-run alpha. In the second article in this series , I provided a theoretical underpinning for the presence and persistence of a Low Volatility Anomaly, and linked to articles depicting its success dating back to the 1930s. This article demonstrates that violations of the assumption of the Capital Asset Pricing Model (CAPM) lead to deviations between model and market that pervert the presumed relationship between risk and return. Empirical evidence, academic research and long time series studies across asset classes and geographies have shown that the actual relationship between risk and return is flatter than the model or market expectations suggests. The third article in this theory lays out a hypothesis for why low volatility strategies have produced higher risk-adjusted returns over time. Leverage Aversion Hypothesis The fallacy of the Capital Asset Pricing Model assumption that investors are able to borrow and lend at the risk-free rate might be the supposition that most perverts the model application from real world practice. Certainly not all investors are able to use leverage, and the cost and availability of leverage can deviate materially from any notion of a risk-free rate in times of stress. Intuitively, leverage-constrained or leverage-averse investors often choose to overweight riskier assets, increasing the price of risky assets and lowering expected return. If some market participants are overweight riskier assets characterized by lower expected returns, then they must be underweight lower risk assets which would be characterized by higher expected returns. In the CAPM model, rational market participants seeking to maximize their economic utility invest in the portfolio with the highest expected return per unit of risk, and lever or de-lever their portfolio to suit their own risk tolerance. In practice, however, many large institutional investors including most mutual funds and certain pension funds are constrained by the level of leverage that they can take. Furthermore, many individual investors lack the sophistication or access to attractively priced leverage. The growing increase in the assets under management of exchange traded fund products with embedded leverage could well signal small investor’s inability to access leverage directly on favorable terms. If market participants respond by being overweight riskier securities, then the relationship between risk and expected return is altered. Building on the long time series studies from Black and Haugen of the relative outperformance of lower volatility assets in the last article in this series, Frazzini and Pederson (2010) empirically demonstrated the alpha-generative nature of low beta assets across twenty international equity markets, Treasury bonds, corporate bonds, and futures. The duo also introduced a “Betting Against Beta” factor that gave the paper its name. The factor is effectively a zero beta portfolio that is long leveraged low-beta assets and short high-beta assets to produce statistically significant risk-adjusted across many markets, geographies, and time intervals. This study also demonstrated that the return of the BAB factor is sensitive to funding constraints as one would expected in a trade involving leverage. The persistence of an alpha-generative strategy involving leverage applied to low volatility assets, whose excess return is in part a function of the funding environment, supports the Leverage Aversion Hypothesis as an explanation for the Low Volatility Anomaly. In the next section of this series, we will tackle how the delegated agency model typical of investment management may also contribute to the outperformance of Low Volatility strategies. Disclaimer My articles may contain statements and projections that are forward-looking in nature, and therefore, inherently subject to numerous risks, uncertainties and assumptions. While my articles focus on generating long-term risk-adjusted returns, investment decisions necessarily involve the risk of loss of principal. Individual investor circumstances vary significantly, and information gleaned from my articles should be applied to your own unique investment situation, objectives, risk tolerance, and investment horizon. Disclosure: I am/we are long SPLV, SPY. (More…) I wrote this article myself, and it expresses my own opinions. I am not receiving compensation for it (other than from Seeking Alpha). I have no business relationship with any company whose stock is mentioned in this article.