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

Author

Listed:
  • Christoffersen, Peter
  • Fournier, Mathieu
  • Jacobs, Kris
  • Karoui, Mehdi

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.

Suggested Citation

  • Christoffersen, Peter & Fournier, Mathieu & Jacobs, Kris & Karoui, Mehdi, 2021. "Option-Based Estimation of the Price of Coskewness and Cokurtosis Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 56(1), pages 65-91, February.
    • Handle: RePEc:cup:jfinqa:v:56:y:2021:i:1:p:65-91_3
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    Cited by:

    1. Andrea Gamba & Alessio Saretto, 2022. "Endogenous Option Pricing," Working Papers 2202, Federal Reserve Bank of Dallas.
    2. Bouri, Elie & Lei, Xiaojie & Xu, Yahua & Zhang, Hongwei, 2023. "Connectedness in implied higher-order moments of precious metals and energy markets," Energy, Elsevier, vol. 263(PB).
    3. Dai, Xingyu & Xiao, Ling & Wang, Qunwei & Dhesi, Gurjeet, 2021. "Multiscale interplay of higher-order moments between the carbon and energy markets during Phase III of the EU ETS," Energy Policy, Elsevier, vol. 156(C).
    4. Nekhili, Ramzi & Bouri, Elie, 2023. "Higher-order moments and co-moments' contribution to spillover analysis and portfolio risk management," Energy Economics, Elsevier, vol. 119(C).
    5. Nielsen, Ole Linnemann & Posselt, Anders Merrild, 2024. "Betting on mean reversion in the VIX? Evidence from ETP flows," International Review of Financial Analysis, Elsevier, vol. 95(PB).
    6. Chen, Yan & Liu, Yakun & Zhang, Feipeng, 2024. "Coskewness and the short-term predictability for Bitcoin return," Technological Forecasting and Social Change, Elsevier, vol. 200(C).

    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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