The Study Of Ruin Probability Surplus Before Ruin And Deficit At Ruin

With the rapid development of our country's economy, insurance has played a more and more improtant role in people's economic life, and the public has taken more and more attention to insurance companies which are the provider of the insurance product. Contemporarily, enormous passion has been devoted into the issues such as the pricing of the insurance product and bankruptcy of insurance companies, which is much more important. Because it not only has something with the security of people's property and life but also the stabilization of the society. Usually, martingale approach and renewal thoery can be used to derive ruin probability of many ruin problem.But if interest rate is tsken into account in the model, it will be very hard to deal with only by mrtingale approaches and renewal theory. This article mostly uses iterative method to improve the upper and lower limit of surplus before ruin and deficit at ruin and use martingale approach to get the upper limit of the ruin model with interest rate which is a Markov chain.