The Price of Higher Order Catastrophe Insurance: The Case of VIX Options

by Bjorn Eraker*, Aoxiang Yang

ARTICLE | Journal of Finance | Vol.77, 2022

Abstract

We develop a tractable equilibrium pricing model to explain observed characteristics in equity returns, VIX futures, S&P 500 options, and VIX options data based on affine jump-diffusive state dynamics and representative agents endowed with Duffie-Epstein recursive preferences. Our calibrated model replicates consumption, dividends, and asset market data, including VIX futures returns, the average implied volatilities in SPX and VIX options, and first- and higher-order moments of VIX options returns. We document a time variation in the shape of VIX-option-implied volatility and a time-varying hedging relationship between VIX and SPX options that our model both captures.

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