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Journal of Financial and Quantitative Analysis Vol. 56 No. 1 2021

Option-Based Estimation of the Price of Coskewness and Cokurtosis Risk

Peter Christoffersen1; Mathieu Fournier2; Kris Jacobs3; Mehdi Karoui4

1 Deceased · 2 HEC Montréal · 3 University of Houston · 4 Employee Benefit Research Institute

Abstract

We show that the prices of risk for factors that are nonlinear in the market return can be obtained using index option prices. The price of coskewness risk corresponds to the market variance risk premium, and the price of cokurtosis risk corresponds to the market skewness risk premium. Option-based estimates of the prices of risk lead to reasonable values of the associated risk premia. An analysis of factor models with coskewness risk indicates that the new estimates of the price of risk improve the models’ performance compared with regression-based estimates.

DOI
10.1017/s002210902000023x
Volume
56
Issue
1
Pages
65-91
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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