On the Negative Market Volatility Risk-Premium: Bridging the Gap Between Option Returns and the Pricing of Options

38 Pages Posted: 19 Jun 2007

Date Written: June 19, 2007

Abstract

Existing evidence indicates that (i) average returns of purchased delta-hedged options are negative, implying options are expensive, and (ii) volatility is the most important extra risk that is factored into option prices. Therefore, a natural extension is to explain the cross-section of average delta-hedged option returns in a stochastic volatility model. This paper solves this problem by introducing a measure of option overprice, which quantifies the impact on option prices of the volatility risk premium. It is an application of option-pricing in incomplete markets under stochastic volatility. An extensive numerical exercise shows the option overprice is consistent with the cross-section of average delta-hedged returns of calls, puts, and straddles reported by the literature for the S&P 500 index, except for expensive short-term out-of-the-money puts. In a stochastic volatility model, the volatility risk of at- and, especially, out-of-the-money calls and puts is several times larger than market volatility, which explains large negative volatility risk premiums if volatility risk is negative priced.

Keywords: stochastic volatility, option returns, incomplete markets, option-pricing, dynamic hedging

JEL Classification: G12, G13

Suggested Citation

Ibañez, Alfredo, On the Negative Market Volatility Risk-Premium: Bridging the Gap Between Option Returns and the Pricing of Options (June 19, 2007). Available at SSRN: https://ssrn.com/abstract=995128 or http://dx.doi.org/10.2139/ssrn.995128

Alfredo Ibañez (Contact Author)

Comillas Pontifical University ( email )

Alberto Aguilera 21
Madrid, Madrid 28015
Spain

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