RUIN PROBABILITY IN A CONTROLLED RISK PROCESS UNDER RATES OF INTEREST WITH DEPENDENT RANDOM VARIABLES

Abstract

In this paper, we extend the model reviewed by Maikol A. Diasparra and Rosaria Romera (2009) to produce ruin probability estimates for the general insurance model with the effect of interest rate with Markov's range of insurance payouts is dependent and the range of interest is dependent on fisrt order regression with the range of insurance payments and the range of interest is a series of random variables that receive values in positive numbers. The main purpose of the paper is that we use recursive methods to establish general Lundberg inequalities for ruin probabilities. Since then, this paper obtained the main result is Theorem 2, constructing the upper bound estimates for the ruin probability of the model in exponential form by recursive method.