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The Cross-Section of Volatility and Expected Returns

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TLDR
This paper examined the pricing of aggregate volatility risk in the cross-section of stock returns and found that stocks with high sensitivities to innovations in aggregate volatility have low average returns, and that stock with high idiosyncratic volatility relative to the Fama and French (1993) model have abysmally low return.
Abstract
We examine the pricing of aggregate volatility risk in the cross-section of stock returns Consistent with theory, we find that stocks with high sensitivities to innovations in aggregate volatility have low average returns In addition, we find that stocks with high idiosyncratic volatility relative to the Fama and French (1993) model have abysmally low average returns This phenomenon cannot be explained by exposure to aggregate volatility risk Size, book-to-market, momentum, and liquidity effects cannot account for either the low average returns earned by stocks with high exposure to systematic volatility risk or for the low average returns of stocks with high idiosyncratic volatility

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Optimal Portfolio Selection with a Shortfall Probability Constraint: Evidence from Alternative Distribution Functions

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Leverage As A Weapon of Mass Shareholder-Value Destruction; Another Look at the Low-Beta Anomaly

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Fama-French 1992 Redux with Robust Statistics

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Risk-Return Relationship in High Frequency Data: Multiscale Analysis and Long Memory

TL;DR: In this paper, the relationship between the return on a stock index and its volatility using high frequency data was investigated using wavelet multiresolution analysis, and two well-known hypotheses were reexamined: the leverage effect and the volatility feedback effect hypotheses.
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Idiosyncratic Volatility, Measurement Frequency and Return Reversal

TL;DR: In this article, the negative relation between idiosyncratic volatility and expected returns is examined, and a strong positive relation between time-varying risk premium and idiosyncratic variance is found for portfolios containing stocks with low past returns and small portfolio.
References
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