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Option Valuation with Volatility Components, Fat Tails, and Nonlinear Pricing Kernels

Author

Listed:
  • Kadir G. Babaoglou

    (University of Toronto - Rotman School of Management)

  • Peter Christoffersen

    (University of Toronto - Rotman School of Management and CREATES)

  • Steven L. Heston

    (University of Maryland - Department of Finance)

  • Kris Jacobs

    (University of Houston - C.T. Bauer College of Business)

Abstract

We nest multiple volatility components, fat tails and a U-shaped pricing kernel in a single option model and compare their contribution to describing returns and option data. All three features lead to statistically significant model improvements. A second volatility factor is economically most important and improves option fit by 18% on average. A U-shaped pricing kernel improves the option fit by 17% on average, and more so for two-factor models. Fat tails improve option fit by just over 3% on average, and more so when a U-shaped pricing kernel is applied. Our results suggest that the three features we investigate are complements rather than substitutes.

Suggested Citation

  • Kadir G. Babaoglou & Peter Christoffersen & Steven L. Heston & Kris Jacobs, 2014. "Option Valuation with Volatility Components, Fat Tails, and Nonlinear Pricing Kernels," CREATES Research Papers 2015-55, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2015-55
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    File URL: https://repec.econ.au.dk/repec/creates/rp/15/rp15_55.pdf
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    References listed on IDEAS

    as
    1. Peter Christoffersen & Steven Heston & Kris Jacobs, 2009. "The Shape and Term Structure of the Index Option Smirk: Why Multifactor Stochastic Volatility Models Work So Well," Management Science, INFORMS, vol. 55(12), pages 1914-1932, December.
    2. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat & Wang, Yintian, 2008. "Option valuation with long-run and short-run volatility components," Journal of Financial Economics, Elsevier, vol. 90(3), pages 272-297, December.
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    Cited by:

    1. Horatio Cuesdeanu & Jens Carsten Jackwerth, 2018. "The pricing kernel puzzle in forward looking data," Review of Derivatives Research, Springer, vol. 21(3), pages 253-276, October.
    2. Matthias R. Fengler & Alexander Melnikov, 2018. "GARCH option pricing models with Meixner innovations," Review of Derivatives Research, Springer, vol. 21(3), pages 277-305, October.
    3. Xinglin Yang, 2018. "Good jump, bad jump, and option valuation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(9), pages 1097-1125, September.
    4. Horatio Cuesdeanu & Jens Carsten Jackwerth, 2018. "The pricing kernel puzzle: survey and outlook," Annals of Finance, Springer, vol. 14(3), pages 289-329, August.

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    More about this item

    Keywords

    volatility components; fat tails; jumps; pricing kernel;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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