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Empirical Study of Nikkei 225 Options with the Markov Switching GARCH Model

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  • Kiyotaka Satoyoshi

    ()

  • Hidetoshi Mitsui

    ()

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s10690-010-9120-6
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    Bibliographic Info

    Article provided by Springer in its journal Asia-Pacific Financial Markets.

    Volume (Year): 18 (2011)
    Issue (Month): 1 (March)
    Pages: 55-68

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    Handle: RePEc:kap:apfinm:v:18:y:2011:i:1:p:55-68

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    Web page: http://springerlink.metapress.com/link.asp?id=102851

    Related research

    Keywords: Markov Switching GARCH model; Monte Carlo simulation; Nikkei 225 options; Risk-neutrality; Variance reduction technique;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S61-82, Suppl. De.
    2. Toshiaki Watanabe & Masato Ubukata, 2009. "Option Pricing Using Realized Volatility and ARCH Type Models," Global COE Hi-Stat Discussion Paper Series gd09-066, Institute of Economic Research, Hitotsubashi University.
    3. Gray, Stephen F., 1996. "Modeling the conditional distribution of interest rates as a regime-switching process," Journal of Financial Economics, Elsevier, vol. 42(1), pages 27-62, September.
    4. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
    5. Lamoureux, Christopher G & Lastrapes, William D, 1990. "Persistence in Variance, Structural Change, and the GARCH Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 225-34, April.
    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 637-54, May-June.
    7. Michael Sabbatini & Oliver Linton, 2004. "A GARCH Model of the Implied Volatility of the Swiss Market Index From Option Pricesdffrom Options Prices," FMG Discussion Papers dp516, Financial Markets Group.
    8. Engle, Robert F. & Mustafa, Chowdhury, 1992. "Implied ARCH models from options prices," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 289-311.
    9. BAUWENS , Luc & LUBRANO, Michel, . "Bayesian option pricing using asymmetric GARCH models," CORE Discussion Papers RP -1569, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. BAUWENs, Luc & LUBRANO , Michel, 1996. "Bayesian Inference on GARCH Models using the Gibbs Sampler," CORE Discussion Papers 1996027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, January.
    12. Marc Saez, 1997. "Option pricing under stochastic volatility and stochastic interest rate in the Spanish case," Applied Financial Economics, Taylor & Francis Journals, vol. 7(4), pages 379-394.
    13. Bruce E. Hansen, 1995. "Erratum: The Likelihood ratio Test Under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Boston College Working Papers in Economics 296., Boston College Department of Economics.
    14. Robert J. Elliott & Tak Kuen Siu & Leunglung Chan, 2006. "Option Pricing For Garch Models With Markov Switching," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 9(06), pages 825-841.
    15. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-88, August.
    16. Jin-Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32.
    17. Franc Klaassen, 2002. "Improving GARCH volatility forecasts with regime-switching GARCH," Empirical Economics, Springer, vol. 27(2), pages 363-394.
    18. Markus Haas, 2004. "A New Approach to Markov-Switching GARCH Models," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 2(4), pages 493-530.
    19. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
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