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Behavioral Finance

The Role of Leverage Aversion in Explaining Low Volatility Outperformance

July 22, 2026
Dr Samuel Okonkwo portrait
Dr. Samuel Okonkwo @ @sokonkwo_research 🧵

I remember the exact moment my understanding of market equilibrium shifted. I was reviewing cross-sectional return data from the nineteen-eighties and noticed that the capital market line was flatter than theory predicted. The standard model assumes investors can borrow freely at the risk-free rate to lever up efficient portfolios, creating a linear relationship between risk and expected return. Yet the data showed something different: low volatility assets offered higher risk-adjusted returns than high volatility assets, producing a flattened security market line. This pattern made no sense if investors were using leverage optimally. I began to suspect that constraints on borrowing, whether regulatory, psychological, or institutional, were distorting equilibrium prices in systematic ways.

historical market data from the 1980s
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The concept of leverage aversion is straightforward but profound. Many investors, particularly retail participants but also some institutions, are simply unwilling or unable to use borrowed funds to amplify their market exposure. This constraint pushes them toward high volatility stocks as an imperfect substitute for leverage. By buying volatile equities, these investors achieve greater sensitivity to market movements without technically borrowing money. The demand created by this behavior inflates prices and suppresses expected returns for high beta assets. Meanwhile, low volatility stocks receive less demand than they would in a world with frictionless leverage, leaving their prices relatively attractive. I have documented this mechanism across multiple datasets and find it remarkably consistent.

retail investor examining volatile stock options
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The implications for portfolio construction are significant. Investors who are comfortable using leverage can potentially improve their risk-adjusted outcomes by combining low volatility equities with modest borrowing rather than holding high volatility stocks outright. This approach targets the same market exposure but captures the historical premium associated with low volatility assets. Of course, leverage introduces its own risks, including margin calls and magnified losses during drawdowns. I always emphasize that this is not a recommendation but rather an analytical observation about how constrained and unconstrained investors face different opportunity sets. The key insight is that market prices reflect the aggregate behavior of all participants, including those who cannot or will not use leverage.

professional discussing portfolio leverage strategies
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What fascinates me most is how leverage aversion interacts with other behavioral biases to amplify the low volatility anomaly. Lottery preferences draw investors toward high volatility stocks for their upside potential, while leverage aversion pushes the same investors toward these stocks as a levered substitute. The two forces reinforce each other, creating even greater demand distortion than either would produce alone. I have modeled this interaction formally and found that the combined effect can explain a substantial portion of the observed flatness in the security market line. This suggests that the anomaly is not a single-cause phenomenon but rather the emergent result of multiple behavioral and institutional factors working in concert.

behavioral finance mathematical models on screen
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Critics of leverage aversion explanations often point to institutional investors who do use leverage extensively. Hedge funds and certain pension structures employ borrowing, so why does the anomaly persist? My response is that these levered investors represent a minority of aggregate market capitalization and face their own constraints. Many leveraged funds operate relative to benchmarks and cannot deviate sufficiently to arbitrage the anomaly away. Additionally, the stocks they would need to short are precisely those with the highest borrowing costs and lowest availability. The presence of some levered capital is not enough to offset the price impact of the much larger pool of unlevered investors. Market equilibrium reflects the marginal investor, and in this case the marginal investor appears to be leverage-constrained.

institutional investors in trading environment
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I believe the leverage aversion framework offers one of the most coherent explanations for why the low volatility anomaly has proven so durable. Unlike purely behavioral stories that rely on irrationality, leverage constraints can be entirely rational at the individual level while producing aggregate market inefficiency. An investor who avoids borrowing due to regulatory restrictions, personal risk aversion, or institutional mandate is not making a cognitive error. Yet the aggregation of these individually rational choices creates a systematic pricing distortion that sophisticated observers can recognize. This perspective also suggests that the anomaly may weaken if leverage becomes more accessible or socially acceptable, though regulatory and cultural barriers seem unlikely to disappear entirely.

financial regulation and compliance documents
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For researchers and practitioners evaluating low volatility approaches, I recommend explicitly modeling leverage constraints in any equilibrium framework. Papers that assume frictionless borrowing miss a crucial feature of real markets and may misattribute the anomaly to other causes. I also encourage careful examination of how leverage availability varies across investor types and time periods, as these variations may explain some of the temporal instability in volatility effects. The most productive research agenda combines micro-level evidence on investor behavior with macro-level asset pricing patterns to build explanations that are both behaviorally grounded and quantitatively rigorous.

researchers collaborating on financial study

Understanding leverage aversion transforms how we interpret the low volatility anomaly from a statistical curiosity into a coherent equilibrium prediction grounded in realistic investor behavior.

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