On pricing contingent claims in a two interest rates jump-diffusion model via market completions
Authors:
S. Kane and A. Melnikov
Journal:
Theor. Probability and Math. Statist. 77 (2008), 57-69
MSC (2000):
Primary 60H30, 62P05, 91B28; Secondary 60J75, 60G44, 91B30
DOI:
https://doi.org/10.1090/S0094-9000-09-00747-9
Published electronically:
January 14, 2009
MathSciNet review:
2432772
Full-text PDF Free Access
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Additional Information
Abstract: This paper deals with the problem of hedging contingent claims in the framework of a two factors jump-diffusion model with different credit and deposit rates. The upper and lower hedging prices are derived for European options by means of auxiliary completions of the initial market.
References
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References
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- Y. Bart, Option hedging in the binomial model with differing interest rates, Uspekhi Math. Nauk 53 (1998), no. 5, 227–228; English transl. in Russian Math. Surveys 53 (1998), 1084–1085. MR 1691190
- Y. Bergman, Option Pricing with Different Interest Rates for Borrowing and for Lending, Working Paper University of California, vol. 109, Berlekey, 1981.
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Additional Information
S. Kane
Affiliation:
Office of the Superintendant of Financial Institutions, Toronto, M5H3T9, Canada
Email:
selly.kane@osfi-bsif.gc.ca
A. Melnikov
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, T6G2G1, Canada
Email:
melnikov@ualberta.ca
Keywords:
Constrained market,
completion,
hedging and pricing,
jump-diffusion,
different interest rates
Received by editor(s):
November 13, 2006
Published electronically:
January 14, 2009
Additional Notes:
The paper was supported by the discovery grant NSERC #261855
Article copyright:
© Copyright 2009
American Mathematical Society