Further Studying Of Compound Binomial Risk Model With Constant Interest

In this paper, a special double type-insurance risk model, which was proposed by LiFenxiang[1], was generalized. We present a special risk model, which the arrival ofpremium process and the occurrence of claims follow binomial process. That is thedouble-risk model of compound binomial with constant interest rate. Make the riskmodel is more comprehensive and scientific for insurance service. The full text containsfour main parts:In the first part, the ruin probability in the double-risk model of compound binomialwith constant interest rate is discussed. First, the necessary condition of the insurancecompany’s stably management is obtained. Then, the existence of the model’s adjustmentcoefcient is proved. Also, two estimates of ruin probability are obtained by using therecursive method in model.In the second part，two kinds of actuarial variables which are the ruin probabilityand the survival probability are discussed in the model. Also, the concrete ruindistributions in finite time, the ultimate probability and survival probability are obtained.In the third part, the adjustment coefficient equation of the model is discussed in theconcrete distribution of the actuarial variables. Studies on the effects of the interest rateon the ruin probability are done by MATLAB software. Combing with concrete example,it is numerically simulated.In the fourth part, I make a summary of the paper. And the work to be done forfurther development was presented.