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Equilibrium pricing of currency options under a discontinuous model in a two-country economy

Equilibrium pricing of currency options under a discontinuous model in a two-country economy Abstract (Bakshi, G., and Z. Chen. 1997. “Equilibrium Valuation of Foreign Exchange Claims.” Journal of Finance 52: 799–826) studied equilibrium valuation for foreign exchange claims in the setting of the two-country Lucas-type economy. In Bakshi and Chen (1997) , they assumed the money supplies follow two-factor stochastic volatility processes. Based on their model, we add two independent Poisson-type jumps, respectively into the process of money supply in each country. By solving a partial integro-differential equation (PIDE) for currency options, we get closed-form solutions of call currency option prices. Our model is a generalization of Bakshi and Chen (1997) , and can contain a class of stochastic-volatility jump-diffusion (SVJD) models as special cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Studies in Nonlinear Dynamics & Econometrics de Gruyter

Equilibrium pricing of currency options under a discontinuous model in a two-country economy

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References (24)

Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
1081-1826
eISSN
1558-3708
DOI
10.1515/snde-2015-0001
Publisher site
See Article on Publisher Site

Abstract

Abstract (Bakshi, G., and Z. Chen. 1997. “Equilibrium Valuation of Foreign Exchange Claims.” Journal of Finance 52: 799–826) studied equilibrium valuation for foreign exchange claims in the setting of the two-country Lucas-type economy. In Bakshi and Chen (1997) , they assumed the money supplies follow two-factor stochastic volatility processes. Based on their model, we add two independent Poisson-type jumps, respectively into the process of money supply in each country. By solving a partial integro-differential equation (PIDE) for currency options, we get closed-form solutions of call currency option prices. Our model is a generalization of Bakshi and Chen (1997) , and can contain a class of stochastic-volatility jump-diffusion (SVJD) models as special cases.

Journal

Studies in Nonlinear Dynamics & Econometricsde Gruyter

Published: Apr 1, 2016

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