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Martingalized Historical approach for Option Pricing

Author

Listed:
  • Christophe Chorro

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Dominique Guegan

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Florian Ielpo

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In a discrete time option pricing framework, we compare the empirical performance of two pricing methodologies, namely the affine stochastic discount factor and the empirical martingale correction methodologies. Using a CAC 40 options dataset, the differences are found to be small : the higher order moment correction involved in the SDF approach may not be that essential to reduce option pricing errors.

Suggested Citation

  • Christophe Chorro & Dominique Guegan & Florian Ielpo, 2009. "Martingalized Historical approach for Option Pricing," Post-Print halshs-00376756, HAL.
    • Handle: RePEc:hal:journl:halshs-00376756
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00376756
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    References listed on IDEAS

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    1. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    2. Jin-Chuan Duan & Jean-Guy Simonato, 1995. "Empirical Martingale Simulation for Asset Prices," CIRANO Working Papers 95s-43, CIRANO.
    3. Robert J. Elliott & Dilip B. Madan, 1998. "A Discrete Time Equivalent Martingale Measure," Mathematical Finance, Wiley Blackwell, vol. 8(2), pages 127-152, April.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    5. Giovanni Barone-Adesi & Robert F. Engle & Loriano Mancini, 2007. "A GARCH Option Pricing Model in Incomplete Markets," Swiss Finance Institute Research Paper Series 07-03, Swiss Finance Institute.
    6. Jin-Chuan Duan & Jean-Guy Simonato, 1998. "Empirical Martingale Simulation for Asset Prices," Management Science, INFORMS, vol. 44(9), pages 1218-1233, September.
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    Cited by:

    1. Christophe Chorro & Dominique Guegan & Florian Ielpo, 2010. "Option pricing for GARCH-type models with generalized hyperbolic innovations," Post-Print halshs-00469529, HAL.
    2. Marius-Cristian Frunza & Dominique Guegan & Antonin Lassoudière, 2010. "Dynamic factor analysis of carbon allowances prices: From classic Arbitrage Pricing Theory to Switching Regimes," Post-Print halshs-00505145, HAL.
    3. Marius-Cristian Frunza & Dominique Guegan & Antonin Lassoudière, 2010. "Statistical evidence of tax fraud on the carbon allowances market," Post-Print halshs-00523458, HAL.

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