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Option Pricing under Discrete Shifts in Stock Returns

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  • 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.

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Bibliographic Info

Paper provided by Queen Mary, University of London, School of Economics and Finance in its series Working Papers with number 426.

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Date of creation: Nov 2000
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Handle: RePEc:qmw:qmwecw:wp426

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Related research

Keywords: Markov regime switching; Option pricing; Volatility smile;

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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. Garcia, R. & Luger, R. & Renault, E., 2001. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Cahiers de recherche 2001-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  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. Bertholon, H. & Monfort, A. & Pegoraro, F., 2007. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working papers 188, Banque de France.
  5. En-Der Su & Feng-Jeng Lin, 2012. "Two-State Volatility Transition Pricing and Hedging of TXO Options," Computational Economics, Society for Computational Economics, vol. 39(3), pages 259-287, March.

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