Disasters Implied by Equity Index Options

Working Paper: CEPR ID: DP7416

Authors: David Backus; Mikhail Chernov; Ian Martin

Abstract: We use prices of equity index options to quantify the impact of extreme events on asset returns. We define extreme events as departures from normality of the log of the pricing kernel and summarize their impact with high-order cumulants: skewness, kurtosis, and so on. We show that high-order cumulants are quantitatively important in both representative-agent models with disasters and in a statistical pricing model estimated from equity index options. Option prices thus provide independent confirmation of the impact of extreme events on asset returns, but they imply a more modest distribution of them.

Keywords: Cumulants; Entropy; Equity Premium; Implied Volatility; Pricing Kernel; Risk-Neutral Probabilities

JEL Codes: E44; G12


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
extreme events (Q54)asset returns (G19)
high-order cumulants (C69)asset returns (G19)
disasters (H84)pricing kernel (D49)
pricing kernel (D49)asset returns (G19)
disasters (H84)risk-neutral probabilities (D81)
risk-neutral probabilities (D81)true probabilities (C11)

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