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Review of Financial Studies Vol. 39 No. 3 2026

Option Pricing with Time-Varying Volatility Risk Aversion

Peter Reinhard Hansen1; Chen Tong2

1 University of North Carolina at Chapel Hill · 2 School of Economics and Wang Yanan Institute for Studies in Economics, Xiamen University ,

Abstract

We introduce a pricing kernel with time-varying volatility risk aversion to explain the observed time variations in the shape of the pricing kernel. When combined with the Heston-Nandi GARCH model, this framework yields a tractable option pricing model in which the variance risk ratio (VRR) emerges as a key variable. We show that the VRR is closely linked to economic fundamentals, as well as sentiment and uncertainty measures. A novel approximation method provides analytical option pricing formulas, and we demonstrate substantial reductions in pricing errors through an empirical application to the S&P 500 index, the CBOE VIX, and option prices.

DOI
10.1093/rfs/hhaf063
Volume
39
Issue
3
Pages
875-924
Language
en
Sources
openalex crossref

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