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https://hdl.handle.net/2440/71459
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Type: | Journal article |
Title: | Pricing and hedging contingent claims with regime switching risk |
Author: | Elliott, R. Siu, T. |
Citation: | Communications in Mathematical Sciences, 2011; 9(2):477-498 |
Publisher: | International Press |
Issue Date: | 2011 |
ISSN: | 1539-6746 1945-0796 |
Statement of Responsibility: | Robert J. Elliott and Tak Kuen Siu |
Abstract: | We study the pricing and hedging of contingent claims in a Markov regime-switching market with a money market account, a zero-coupon bond, and an ordinary share. General contingent claims with payoffs depending on both the share price and the state of a Markov chain describing regime switching are considered. A general pricing kernel defined by the product of two density processes is used to explicitly take into account regime switching risk. Under some differentiability and boundedness conditions, a martingale representation result is established and the integrands in the representation are explicitly identified with respect to the general pricing kernel. We then determine a pricing kernel and a hedging strategy by minimizing the residual risk due to incomplete hedging. Our analysis is also extended to Asian-style and American-style general contingent claims. |
Rights: | Copyright status unknown |
DOI: | 10.4310/CMS.2011.v9.n2.a6 |
Grant ID: | ARC |
Published version: | http://www.intlpress.com/CMS/2011/issue9-2/ |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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