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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/138678

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Title
Option pricing when the regime-switching risk is priced
Related
Acta mathematicae applicatae sinica, Vol. 25, Issue 3, (2009), p.369-388
DOI
10.1007/s10255-008-8803-5
Publisher
Springer
Date
2009
FoR/RFCD Code(s)
010200 Applied Mathematics
Author/Creator
Siu, Tak Kuen
Author/Creator
Yang, Hailiang
Description
We study the pricing of an option when the price dynamic of the underlying risky asset is governed by a Markov-modulated geometric Brownian motion. We suppose that the drift and volatility of the underlying risky asset are modulated by an observable continuous-time, finite-state Markov chain. We develop a two-stage pricing model which can price both the diffusion risk and the regime-switching risk based on the Esscher transform and the minimization of the maximum entropy between an equivalent martingale measure and the real-world probability measure over different states. Numerical experiments are conducted and their results reveal that the impact of pricing regime-switching risk on the option prices is significant.
Description
20 page(s)
Subject Keyword
010200 Applied Mathematics
Subject Keyword
option valuation
Subject Keyword
regime-switching risk
Subject Keyword
two-stage pricing procedure
Subject Keyword
Esscher transform
Subject Keyword
martingale restriction
Subject Keyword
min-max entropy problem
Resource Type
journal article
Organisation
Macquarie University. Dept. of Actuarial Studies

Identifier
http://hdl.handle.net/1959.14/138678
Identifier
ISSN:0168-9673
Identifier
mq-rm-2009002176
Language
eng
Reviewed
Reviewed
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Subject
"Acta mathematicae applicatae sinica"
 
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