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Option Pricing under Discrete Shifts in Stock Returns

Author

Listed:
  • Kyriakos Chourdakis

    (Queen Mary, University of London)

  • Elias Tzavalis

    (Queen Mary, University of London)

Abstract

In this paper we introduce a pricing model for a European call option when the price of the underlying stock (asset) follows a random walk with Markov chain type of shifts in the drift and volatility parameters according to the regime that the stock market lies in, at a given period of time. We show that the model can explain the main stylized facts of the option pricing literature and substantially reduce the BS option pricing biases when it allows for time-varying transition probabilities between the regimes of the stock market.

Suggested Citation

  • Kyriakos Chourdakis & Elias Tzavalis, 2000. "Option Pricing under Discrete Shifts in Stock Returns," Working Papers 426, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:426
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    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2000/items/wp426.pdf
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    Citations

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    Cited by:

    1. Andrea Cipollini & Kostas Mouratidis & Nicola Spagnolo, 2008. "Evaluating currency crises: the case of the European monetary system," Empirical Economics, Springer, vol. 35(1), pages 11-27, August.
    2. Su, EnDer & Wen Wong, Kai, 2019. "Testing the alternative two-state options pricing models: An empirical analysis on TXO," The Quarterly Review of Economics and Finance, Elsevier, vol. 72(C), pages 101-116.
    3. 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.
    4. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working Papers 2006-28, Center for Research in Economics and Statistics.
    5. En-Der Su & Feng-Jeng Lin, 2012. "Two-State Volatility Transition Pricing and Hedging of TXO Options," Computational Economics, Springer;Society for Computational Economics, vol. 39(3), pages 259-287, March.
    6. Chourdakis, Kyriakos & Dendramis, Yiannis & Tzavalis, Elias, 2014. "Are regime-shift sources of risk priced in the market?," Journal of Empirical Finance, Elsevier, vol. 28(C), pages 151-170.

    More about this item

    Keywords

    Markov regime switching; Option pricing; Volatility smile;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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