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The Cross-Sectional Relation between Conditional Heteroskedasticity, the Implied Volatility Smile, and the Variance Risk Premium

43 Pages Posted: 26 May 2013  

Louis H. Ederington

University of Oklahoma - Division of Finance

Wei Guan

University of South Florida St. Petersburg

Date Written: April 05, 2013

Abstract

This paper estimates how the shape of the implied volatility smile and the size of the variance risk premium relate to parameters of GARCH-type time-series models measuring how conditional volatility responds to return shocks. Markets in which return shocks lead to large increases in conditional volatility tend to have larger variance risk premia than markets in which the impact on conditional volatility is slight. Markets in which negative (positive) return shocks lead to larger increases in future volatility than positive (negative) return shocks tend to have downward (upward) sloping implied volatility smiles. Also, differences in how volatility responds to return shocks as measured by GARCH-type models explain much, but not all, of the variations in excess kurtosis and multi-period skewness across different markets.

Keywords: implied volatility, volatility smile, variance risk premium, GARCH, conditional heteroskedasticity

JEL Classification: G13, G10, G12

Suggested Citation

Ederington, Louis H. and Guan, Wei, The Cross-Sectional Relation between Conditional Heteroskedasticity, the Implied Volatility Smile, and the Variance Risk Premium (April 05, 2013). Journal of Banking and Finance, Forthcoming. Available at SSRN: https://ssrn.com/abstract=2270355

Louis Ederington (Contact Author)

University of Oklahoma - Division of Finance ( email )

Norman, OK 73019
United States
405-325-5591 (Phone)
405-325-7688 (Fax)

Wei Guan

University of South Florida St. Petersburg ( email )

College of Business
140 Seventh Avenue South
St. Petersburg, FL 33701-5016
United States
(727) 873-4945 (Phone)
(727) 873-4192 (Fax)

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