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Estimates for the Absolute Ruin Probability in the Compound Poisson Risk Model with Credit and Debit Interest

Published online by Cambridge University Press:  14 July 2016

Jinxia Zhu*
Affiliation:
The University of Hong Kong
Hailiang Yang*
Affiliation:
The University of Hong Kong
*
Current address: Australian School of Business, The University of New South Wales, Sydney, Australia. Email address: [email protected]
∗∗Postal address: Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong. Email address: [email protected]
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Abstract

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In this paper we consider a compound Poisson risk model where the insurer earns credit interest at a constant rate if the surplus is positive and pays out debit interest at another constant rate if the surplus is negative. Absolute ruin occurs at the moment when the surplus first drops below a critical value (a negative constant). We study the asymptotic properties of the absolute ruin probability of this model. First we investigate the asymptotic behavior of the absolute ruin probability when the claim size distribution is light tailed. Then we study the case where the common distribution of claim sizes are heavy tailed.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2008 

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