On a Discrete Interaction Risk Model with Delayed Claims

Journal of Risk and Financial Management

He Liu²  Zhenhua Bao¹ 

[1] School of Mathematics, Liaoning Normal University, Dalian 116029, China;School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou 014010, China

关键词: discrete risk model;    delayed claim;    expected discounted penalty function;    generating function;    recursive equation;    defective renewal equation;   

DOI  :  10.3390/jrfm8040355

来源: mdpi

【 摘 要 】

We study a discrete-time interaction risk model with delayed claims within the framework of the compound binomial model. Using the technique of generating functions, we derive both a recursive formula and a defective renewal equation for the expected discounted penalty function. As applications, the probabilities of ruin and the joint distributions of the surplus one period to ruin and the deficit at ruin are investigated. Numerical illustrations are also given.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.