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Skewness and Kurtosis Implied by Option Prices: A Correction

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  • Christine A. Brown
  • David M. Robinson

Abstract

Corrado and Su (1996) provide skewness and kurtosis adjustment terms for the Black-Scholes model, using a Gram-Charlier expansion of the normal density function. In this note we provide a correction to the expression for the skewness coefficient and illustrate the effect on call option prices of the error found. Southern Finance Association and the Southwestern Finance Association.

Suggested Citation

  • Christine A. Brown & David M. Robinson, 2002. "Skewness and Kurtosis Implied by Option Prices: A Correction," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 25(2), pages 279-282.
  • Handle: RePEc:bla:jfnres:v:25:y:2002:i:2:p:279-282
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    Cited by:

    1. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Skewness and kurtosis implied by option prices: a second comment," LSE Research Online Documents on Economics 24938, London School of Economics and Political Science, LSE Library.
    2. Wilkens, Sascha & Roder, Klaus, 2006. "The informational content of option-implied distributions: Evidence from the Eurex index and interest rate futures options market," Global Finance Journal, Elsevier, vol. 17(1), pages 50-74, September.
    3. Lina M. Cortés & Javier Perote & Andrés Mora-Valencia, 2017. "Implicit probability distribution for WTI options: The Black Scholes vs. the semi-nonparametric approach," DOCUMENTOS DE TRABAJO CIEF 015923, UNIVERSIDAD EAFIT.
    4. Bogdan Negrea & Bertrand Maillet & Emmanuel Jurczenko, 2002. "Revisited Multi-moment Approximate Option," FMG Discussion Papers dp430, Financial Markets Group.
    5. Andreou, Panayiotis C. & Charalambous, Chris & Martzoukos, Spiros H., 2010. "Generalized parameter functions for option pricing," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 633-646, March.
    6. 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.
    7. 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.
    8. Lin, Bing-Huei & Lin, Yueh-Neng & Chen, Yin-Jung, 2012. "Volatility risk premium decomposition of LIFFE equity options," International Review of Economics & Finance, Elsevier, vol. 24(C), pages 315-326.
    9. Tanya Araujo & João Dias & Samuel Eleutério & Francisco Louçã, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Working Papers Department of Economics 2012/21, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    10. Williamson, Brendon & Villano, Renato A. & Fleming, Euan M., 2008. "Structuring Exotic Options Contracts on Water to Improve the Efficiency of Resource Allocation in the Water Spot Market," 2008 Conference (52nd), February 5-8, 2008, Canberra, Australia 5992, Australian Agricultural and Resource Economics Society.
    11. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Revisited multi-moment approximate option pricing models: a general comparison (Part 1)," LSE Research Online Documents on Economics 24950, London School of Economics and Political Science, LSE Library.
    12. Schlögl, Erik, 2013. "Option pricing where the underlying assets follow a Gram/Charlier density of arbitrary order," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 611-632.
    13. Tanya Ara'ujo & Jo~ao Dias & Samuel Eleut'erio & Francisco Louc{c}~a, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Papers 1207.1202, arXiv.org.
    14. Araújo, Tanya & Dias, João & Eleutério, Samuel & Louçã, Francisco, 2013. "A measure of multivariate kurtosis for the identification of the dynamics of a N-dimensional market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3708-3714.
    15. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2008. "Pricing options on scenario trees," Journal of Banking & Finance, Elsevier, vol. 32(2), pages 283-298, February.
    16. Äijö, Janne, 2008. "Impact of US and UK macroeconomic news announcements on the return distribution implied by FTSE-100 index options," International Review of Financial Analysis, Elsevier, vol. 17(2), pages 242-258.
    17. Andreou, Panayiotis C. & Charalambous, Chris & Martzoukos, Spiros H., 2008. "Pricing and trading European options by combining artificial neural networks and parametric models with implied parameters," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1415-1433, March.
    18. Nagarajan, Thirukumaran & Malipeddi, Koteswararao, 2009. "Effects of market sentiment in index option pricing: a study of CNX NIFTY index option," MPRA Paper 17943, University Library of Munich, Germany.
    19. 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," Australasian Agribusiness Perspectives 234295, University of Melbourne, Melbourne School of Land and Environment.
    20. Chateau, John-Peter D., 2009. "Marking-to-model credit and operational risks of loan commitments: A Basel-2 advanced internal ratings-based approach," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 260-270, December.
    21. Chateau, John-Peter D., 2007. "Beyond Basel-2 simplified standardized approach: Credit risk valuation of short-term loan commitments," International Review of Financial Analysis, Elsevier, vol. 16(5), pages 412-433.

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