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Good-deal bounds in a regime-switching diffusion market

Catherine Donnelly

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Abstract: We consider option pricing in a regime-switching diffusion market. As the market is incomplete, there is no unique price for a derivative. We apply the good-deal pricing bounds idea to obtain ranges for the price of a derivative. As an illustration, we calculate the good-deal pricing bounds for a European call option and we also examine the stability of these bounds when we change the generator of the Markov chain which drives the regime-switching. We find that the pricing bounds depend strongly on the choice of the generator.

Date: 2010-06, Revised 2010-11
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Published in Applied Mathematical Finance (2011), 18(6), pp491-515

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