Option valuation under a multivariate Markov Chain model

Na Song, Wai Ki Ching*, Tak Kuen Siu, Eric S. Fung, Michael K. Ng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

3 Citations (Scopus)
17 Downloads (Pure)

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.

Original languageEnglish
Title of host publication3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice
EditorsLean Yu, Yingwen Song, Wai-Ki Ching, Shouyang Wang, K. K. Lai
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages177-181
Number of pages5
Volume1
ISBN (Print)9780769540306
DOIs
Publication statusPublished - 2010
Event3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice - Huangshan, Anhui, China
Duration: 28 May 201031 May 2010

Other

Other3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice
CountryChina
CityHuangshan, Anhui
Period28/05/1031/05/10

Fingerprint

Dive into the research topics of 'Option valuation under a multivariate Markov Chain model'. Together they form a unique fingerprint.

Cite this