Asymptotic analysis of option pricing in a Markov modulated market

Document Type

Article

Publication Title

Operations Research Letters

Abstract

We address asymptotic analysis of option pricing in a regime switching market where the risk free interest rate, growth rate and the volatility of the stocks depend on a finite state Markov chain. We study two variations of the chain namely, when the chain is moving very fast compared to the underlying asset price and when it is moving very slow. Using quadratic hedging and asymptotic expansion, we derive corrections on the locally risk minimizing option price. (C) 2009 Elsevier B.V. All rights reserved.

Publication Date

1-4-2009

Publisher

Elsevier Science Bv

Volume

Vol.37

Issue

Iss.6

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