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Regularity of the optimal stopping problem for jump diffusions

Bayraktar, Erhan and Xing, Hao (2012) Regularity of the optimal stopping problem for jump diffusions. SIAM Journal on Control and Optimization, 50 (3). pp. 1337-1357. ISSN 0363-0129

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Abstract

The value function of an optimal stopping problem for jump diffusions is known to be a generalized solution of a variational inequality. Assuming that the diffusion component of the process is nondegenerate and a mild assumption on the singularity of the L´evy measure, this paper shows that the value function of this optimal stopping problem on an unbounded domain with finite/infinite variation jumps is in W2;1 p;loc with p 2 (1;1). As a consequence, the smooth-fit property holds.

Item Type: Article
Official URL: http://epubs.siam.org/sicon/
Additional Information: © 2012 SIAM
Library of Congress subject classification: H Social Sciences > HA Statistics
Sets: Departments > Statistics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 04 May 2012 10:27
URL: http://eprints.lse.ac.uk/43458/

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