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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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Arbitrage Asymmetry and the Idiosyncratic Volatility Puzzle

TL;DR: In this paper, the authors combine arbitrage asymmetry with the arbitrage risk represented by idiosyncratic volatility (IVOL) to explain the negative relation between IVOL and average return.
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Roughing up Beta: Continuous versus Discontinuous Betas and the Cross Section of Expected Stock Returns

TL;DR: This article investigated how individual equity prices respond to continuous and jumpy market price moves and how these different market price risks, or betas, are priced in the cross section of expected stock returns.
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Style Investing, Comovement and Return Predictability

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Retail Short Selling and Stock Prices

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Consumption Volatility Risk

TL;DR: In this article, the authors show that time-variation in macroeconomic uncertainty affects asset prices, and that exposure to consumption volatility risk predicts future returns, generating a spread across quintile portfolios in excess of 7% annually.
References
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