Open Access
2010 ON THE DISCOUNTED PENALTY AT RUIN IN A JUMP-DIFFUSION MODEL
Yu-Ting Chen, Yuan-Chung Sheu
Taiwanese J. Math. 14(4): 1337-1350 (2010). DOI: 10.11650/twjm/1500405951

Abstract

In this paper, we study the discounted penalty in a perturbed compound Poisson model with two sided jumps. We prove second-order regularity of this function and investigate its asymptotic behavior at infinity. Next, based on Boyarchenko and Levendorskii (2002), we justify an integro-differential equation for the discounted penalty.

Citation

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Yu-Ting Chen. Yuan-Chung Sheu. "ON THE DISCOUNTED PENALTY AT RUIN IN A JUMP-DIFFUSION MODEL." Taiwanese J. Math. 14 (4) 1337 - 1350, 2010. https://doi.org/10.11650/twjm/1500405951

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1220.60046
MathSciNet: MR2663915
Digital Object Identifier: 10.11650/twjm/1500405951

Subjects:
Primary: 60G44 , 60J25 , 60J75 , 91B28

Keywords: discounted penalty , Integro-differential equation , jump diffusion

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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