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August 2010 Reflected BSDE with a constraint and its applications in an incomplete market
Shige Peng, Mingyu Xu
Bernoulli 16(3): 614-640 (August 2010). DOI: 10.3150/09-BEJ227

Abstract

In this paper, we study a type of reflected BSDE with a constraint and prove the existence of the smallest $g$-supersolution for this equation. We then demonstrate its applications in the pricing of American options in an incomplete market.

Citation

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Shige Peng. Mingyu Xu. "Reflected BSDE with a constraint and its applications in an incomplete market." Bernoulli 16 (3) 614 - 640, August 2010. https://doi.org/10.3150/09-BEJ227

Information

Published: August 2010
First available in Project Euclid: 6 August 2010

zbMATH: 1284.60120
MathSciNet: MR2730642
Digital Object Identifier: 10.3150/09-BEJ227

Keywords: American options in an incomplete market , backward stochastic differential equation with a constraint , reflected backward stochastic differential equation

Rights: Copyright © 2010 Bernoulli Society for Mathematical Statistics and Probability

Vol.16 • No. 3 • August 2010
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