@inproceedings{0121dedaa36143f696819d3882ecc717,
title = "Option valuation under a multivariate Markov chain model",
abstract = "In this paper, we develop an option valuation model in the context of a discrete-time multivariate Markov chain model using the Esscher transform. The multivariate Markov chain provides a flexible way to incorporate the dependency of the underlying asset price processes and price multi-state options written on several dependent underlying assets. In our model, the price of an individual asset can take finitely many values. The market described by our model is incomplete in general, hence there are more than one equivalent martingale pricing measures. We adopt conditional Esscher transform to determine an equivalent martingale measure for option valuation. We also document consequences for option prices of the dependency of the underlying asset prices described by the multivariate Markov chain model.",
author = "Na Song and Ching, {Wai Ki} and Siu, {Tak Kuen} and Fung, {Eric S.} and NG, {Kwok Po}",
note = "Copyright: Copyright 2010 Elsevier B.V., All rights reserved.; 3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice ; Conference date: 28-05-2010 Through 31-05-2010",
year = "2010",
doi = "10.1109/CSO.2010.73",
language = "English",
isbn = "9780769540306",
series = "3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice",
pages = "177--181",
booktitle = "3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010",
}