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RFS Advance Access originally published online on July 6, 2006
Review of Financial Studies 2007 20(3):859-904; doi:10.1093/rfs/hhl023
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© The Author 2006. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org.

Why Does Implied Risk Aversion Smile?

Alexandre Ziegler
Swiss Finance Institute, University of Lausanne

Address correspondence to Swiss Finance Institute, University of Lausanne, Extranef Building, 1015 Lausanne, Switzerland, or e-mail: alexandre.ziegler{at}unil.ch

Implied risk aversion estimates reported in the literature are strongly U-shaped. This article explores different potential explanations for these "smile" patterns: (i) preference aggregation, both with and without stochastic volatility and jumps in returns, (ii) misestimation of investors’ beliefs caused by stochastic volatility, jumps, or a Peso problem, and (iii) heterogeneous beliefs. The results reveal that preference aggregation and misestimation of investors’ beliefs caused by stochastic volatility and jumps are unlikely to be the explanation for the smile. Although a Peso problem can account for the smile, the required probability of a market crash is unrealistically large. Heterogeneous beliefs cause sizable distortions in implied risk aversion, but the degree of heterogeneity required to explain the smile is implausibly large. (JEL: G12, G13)


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