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Computing option values by pricing kernel with a stochatic volatility model

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  • Silvia Centanni

    (Department of Economics (University of Verona))

Abstract

To use a wider range of information available on the market, we propose a parameter estimation and option pricing procedure which involves a two step approach: in a first step real world parameters are estimated from time series data of the underlying financial asset, and in a second step the so called pricing kernel is computed from option data. For the first step we compare two likelihood based estimation procedures, namely the particle filter and the SEM algorithms. For the second step we use an adapted version of the so called asset specific pricing kernel. The results are then analyzed in a simulation study and implemented in a real dataset of the FTSE Mib Index, and compared with the classical calibration approach, which makes use of the option data only.

Suggested Citation

  • Silvia Centanni, 2011. "Computing option values by pricing kernel with a stochatic volatility model," Working Papers 05/2011, University of Verona, Department of Economics.
  • Handle: RePEc:ver:wpaper:05/2011
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    References listed on IDEAS

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    1. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
    2. Constantinos Kardaras, 2010. "Stochastic discount factors," Papers 1001.1184, arXiv.org.
    3. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    4. Manfred Gilli & Enrico Schumann, 2010. "Calibrating Option Pricing Models with Heuristics," Working Papers 030, COMISEF.
    5. Xiaojun Yang & Keyi Xing, 2011. "Joint State and Parameter Estimation in Particle Filtering and Stochastic Optimization," Chapters, in: Ioannis Dritsas (ed.), Stochastic Optimization - Seeing the Optimal for the Uncertain, IntechOpen.
    6. 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.
    7. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    8. C.S. Forbes & G.M. Martin & J. Wright, 2002. "Bayesian Estimation of a Stochastic Volatility Model Using Option and Spot Prices," Monash Econometrics and Business Statistics Working Papers 2/02, Monash University, Department of Econometrics and Business Statistics.
    9. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
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    Cited by:

    1. Michele Leonardo Bianchi & Svetlozar T. Rachev & Frank J. Fabozzi, 2018. "Calibrating the Italian Smile with Time-Varying Volatility and Heavy-Tailed Models," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 339-378, March.

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