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Risk-Neutral Skewness: Evidence from Stock Options

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Author Info
Dennis, Patrick
Mayhew, Stewart

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Abstract

We investigate the relative importance of various factors in explaining the volatility skew observed in the prices of stock options traded on the Chicago Board Options Exchange. The skewness of the risk-neutral density implied by individual stock option prices tends to be more negative for stocks that have larger betas, suggesting that market risk is important in pricing individual stock options. Also, implied skewness tends to be more negative in periods of high market volatility, and when the risk-neutral density for index options is more negatively skewed. Other firm-specific factors, including firm size and trading volume a so help explain cross-sectional variation in skewness. However, we find no robust relationship between skewness and the firm's leverage. Nor do we find evidence that skewness is related to the put/call ratio, which may be viewed as a proxy for trading pressure or market sentiment. Overall, firm-specific factors seem to be more important than systematic factors in explaining the variation in the skew for individual firms.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 37 (2002)
Issue (Month): 03 (September)
Pages: 471-493
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:jfinqa:v:37:y:2002:i:03:p:471-493_00

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  1. Han, Bin, 2004. "Limits of Arbitrage, Sentiment and Pricing Kernal: Evidences from Index Options," Working Paper Series 2004-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
  2. Patrick Dennis & Stewart Mayhew, 2009. "Microstructural biases in empirical tests of option pricing models," Review of Derivatives Research, Springer, vol. 12(3), pages 169-191, October. [Downloadable!] (restricted)
  3. Kim, KiHyung, 2007. "The Investors’ Implied Sentiment : A Robust Measure of Risk Appetite," MPRA Paper 5714, University Library of Munich, Germany. [Downloadable!]
  4. Bo-Young Chang & Peter Christoffersen & Kris Jacobs & Gregory Vainberg, 2009. "Option-Implied Measures of Equity Risk," CIRANO Working Papers 2009s-33, CIRANO. [Downloadable!]
  5. Peter Christoffersen & Kris Jacobs & Gregory Vainberg, 2007. "Forward-Looking Betas," CREATES Research Papers 2007-39, School of Economics and Management, University of Aarhus. [Downloadable!]
  6. Li, Minqiang, 2008. "Price Deviations of S&P 500 Index Options from the Black-Scholes Formula Follow a Simple Pattern," MPRA Paper 11530, University Library of Munich, Germany. [Downloadable!]
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