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The hidden martingale restriction in Gram‐Charlier option prices

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  • Charles Corrado

Abstract

A hidden martingale restriction is developed for option pricing models based on Gram–Charlier expansions of the normal density function. The restriction is hidden behind a reduction in parameter space for the Gram–Charlier expansion coefficients. The resulting restriction is invisible in the option price. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27: 517–534, 2007

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  • Charles Corrado, 2007. "The hidden martingale restriction in Gram‐Charlier option prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(6), pages 517-534, June.
    • Handle: RePEc:wly:jfutmk:v:27:y:2007:i:6:p:517-534
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    Cited by:

    1. Jarno Talponen, 2018. "Matching distributions: Recovery of implied physical densities from option prices," Papers 1803.03996, arXiv.org.
    2. Sofiane Aboura & Didier Maillard, 2016. "Option Pricing Under Skewness and Kurtosis Using a Cornish–Fisher Expansion," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(12), pages 1194-1209, December.
    3. Chateau, Jean-Pierre D., 2011. "Contribution à la réglementation de Bâle-3 : de la consistance interne du continuum du crédit commercial en marquant à la « valeur de modèle » le risque de crédit des engagements de crédit," L'Actualité Economique, Société Canadienne de Science Economique, vol. 87(4), pages 445-479, décembre.
    4. Monica Billio & Bertrand Maillet & Loriana Pelizzon, 2022. "A meta-measure of performance related to both investors and investments characteristics," Annals of Operations Research, Springer, vol. 313(2), pages 1405-1447, June.
    5. Ciprian Necula & Gabriel Drimus & Walter Farkas, 2019. "A general closed form option pricing formula," Review of Derivatives Research, Springer, vol. 22(1), pages 1-40, April.
    6. Fleming, Euan & Villano, Renato & Williamson, Brendon, 2013. "Structuring Exotic Options Contracts on Water to Improve the Efficiency of Resource Allocation in the Australian Water Market," Papers 234295, University of Melbourne, Melbourne School of Land and Environment.
    7. repec:oup:rapstu:v:7:y:2017:i:1:p:2-42. is not listed on IDEAS
    8. Lin, Shin-Hung & Huang, Hung-Hsi & Li, Sheng-Han, 2015. "Option pricing under truncated Gram–Charlier expansion," The North American Journal of Economics and Finance, Elsevier, vol. 32(C), pages 77-97.
    9. Ching-Ping Wang & Hung-Hsi Huang & Chien-Chia Hung, 2011. "Implied Index And Option Pricing Errors: Evidence From The Taiwan Option Market," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 5(2), pages 115-125.
    10. Steven L. Heston & Alberto G. Rossi, 2017. "A Spanning Series Approach to Options," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 7(1), pages 2-42.

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