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Type: Journal article
Title: Asset pricing using finite state Markov chain stochastic discount functions
Author: Van Der Hoek, J.
Elliott, R.
Citation: Stochastic Analysis and Applications, 2012; 30(5):865-894
Publisher: Marcel Dekker Inc
Issue Date: 2012
ISSN: 0736-2994
Statement of
John van der Hoek and Robert J. Elliott
Abstract: This article fuses two pieces of theory to make a tractable model for asset pricing. The first is the theory of asset pricing using a stochastic discounting function (SDF). This will be reviewed. The second is to model uncertainty in an economy using a Markov chain. Using the semi-martingale dynamics for the chain these models can be calibrated and asset valuations derived. Interest rate models, stock price models, futures pricing, exchange rates can all be introduced endogenously in this framework.
Keywords: Continuous time Markov chains; derivative asset pricing; stochastic discounting functions
Rights: Copyright © Taylor & Francis Group, LLC
RMID: 0020121507
DOI: 10.1080/07362994.2012.704852
Appears in Collections:Mathematical Sciences publications

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