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Option Pricing under Discrete Shifts in Stock Returns

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Author Info
Kyriakos Chourdakis (Queen Mary, University of London)
Elias Tzavalis (Queen Mary, University of London)

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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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Publisher Info
Paper provided by Queen Mary, University of London, Department of Economics 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;

Find related papers by 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

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  1. René Garcia & Richard Luger & Éric Renault, 2001. "Asymmetric Smiles, Leverage Effects and Structural Parameters," CIRANO Working Papers 2001s-01, CIRANO. [Downloadable!]
    Other versions:
  2. Kostas Mouratidis & Nicola Spagnolo, 2004. "Evaluating currency crises: the case of the European Monetary System," Money Macro and Finance (MMF) Research Group Conference 2003 69, Money Macro and Finance Research Group. [Downloadable!]
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