Attainable contingent claims in a Markovian regime-switching market

Robert J. Elliott*, Tak Kuen Siu

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is known that the market in a Markovian regime-switching model is, in general, incomplete, so not all contingent claims can be perfectly hedged. We show, in this paper, how certain contingent claims are attainable in the regime-switching market using a money market account, a share and a zero-coupon bond. General contingent claims with payoffs depending on both the share price and the state of the regime-switching process are considered. We apply a martingale representation result to show the attainability of a European-style contingent claim. We also extend our analysis to Asian-style and American-style contingent claims.

Original languageEnglish
Article number1250055
Pages (from-to)1-19
Number of pages19
JournalInternational Journal of Theoretical and Applied Finance
Volume15
Issue number8
DOIs
Publication statusPublished - Dec 2012

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