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What drives option prices ?

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Author Info

  • Frédéric Abergel

    () (FiQuant - Chaire de finance quantitative - Ecole Centrale Paris, MAS - Mathématiques Appliquées aux Systèmes - EA 4037 - Ecole Centrale Paris)

  • Riadh Zaatour

    () (FiQuant - Chaire de finance quantitative - Ecole Centrale Paris, MAS - Mathématiques Appliquées aux Systèmes - EA 4037 - Ecole Centrale Paris)

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    Abstract

    We rely on high frequency data to explore the joint dynamics of underlying and option markets. In particular, high frequency data make observable the realized variance process of the underlying, so its effects on option price dynamics are tested. Empirical results are confronted with the predictions of stochastic volatility models. The study reveals that while the modeling of stochastic volatility gives more robust models, the market does not process information on the realized variance to update option prices.

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    File URL: http://hal.archives-ouvertes.fr/docs/00/68/76/75/PDF/whatDrivesOptionPrices.pdf
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    Bibliographic Info

    Paper provided by HAL in its series Working Papers with number hal-00687675.

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    Date of creation: 13 Apr 2012
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    Handle: RePEc:hal:wpaper:hal-00687675

    Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00687675
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    Web page: http://hal.archives-ouvertes.fr/

    Related research

    Keywords: options; microstructure; smile; stochastic volatility;

    This paper has been announced in the following NEP Reports:

    References

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    1. Garman, Mark B & Klass, Michael J, 1980. "On the Estimation of Security Price Volatilities from Historical Data," The Journal of Business, University of Chicago Press, vol. 53(1), pages 67-78, January.
    2. Rama Cont & Jose da Fonseca, 2002. "Dynamics of implied volatility surfaces," Quantitative Finance, Taylor and Francis Journals, vol. 2(1), pages 45-60.
    3. Toby Daglish & John Hull & Wulin Suo, 2007. "Volatility surfaces: theory, rules of thumb, and empirical evidence," Quantitative Finance, Taylor and Francis Journals, vol. 7(5), pages 507-524.
    4. Charles Quanwei Cao & Gurdip S. Bakshi & Zhiwu Chen, 1997. "Empirical Performance of Alternative Option Pricing Models," Yale School of Management Working Papers ysm65, Yale School of Management.
    5. 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 637-54, May-June.
    6. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. " Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-49, December.
    7. Charles Quanwei Cao & Gurdip S. Bakshi & Zhiwu Chen, 1997. "Empirical Performance of Alternative Option Pricing Models," Yale School of Management Working Papers ysm54, Yale School of Management.
    8. Maria Elvira Mancino & Paul Malliavin, 2002. "Fourier series method for measurement of multivariate volatilities," Finance and Stochastics, Springer, vol. 6(1), pages 49-61.
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