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American option prices in a Markov chain market model
Authors:John van der Hoek  Robert J Elliott
Institution:1. School of Mathematics and Statistics, University of South Australia, S.A., Australia;2. Haskayne School of Business, University of Calgary, Alta., Canada;3. School of Mathematics, University of Adelaide, S.A., Australia
Abstract:This paper is a sequel to our previous paper ‘A New Paradigm in Asset Pricing’ in which we construct a model for asset pricing in a world where the randomness is modeled by a Markov chain. In this paper we develop a theory of optimal stopping and related variational inequalities for American options in this model. A version of Saigal's Lemma is established and numerical results obtained. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:LED lighting  PFC pre‐regulator  capacitor lifetime  offline LED driver
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