The Study Of Life Insurance Reserves Under Fully Discrete Insurance

Life insurance reserve is the most important liabilities of the life insurance company. For life insurance companies, the reserve pricing is the very important actuarial problem.In traditional life insurance reserve, they mostly study on the fixed interest rate and mortality, but it differs from the practical situation. Mainly in stochastic interest rates and stochastic mortality, we discuss the gross premium of the actuarial model and the calculation problem of life insurance reserve.Firstly, in the stochastic interest rate and stochastic mortality models,we give fully discrete actuarial models under the net premium; the life insurance company operation need all the expenses involved the reasonable classification, put them as far as possible as an independent variable into the total premium calculation of life insurance, we have obtained the gross premium actuarial model; On the basis of the above model, we consider the life insurance company at the beginning of profit goals, inflation and surrender the circumstances of the case presents a gross total premium actuarial model, analyze the model through the numerical computation. Finally, we establish the life insurance reserve model about a fully discrete insurance and give a simple method for calculating the life insurance reserve. By using numerical example, we show this calculation method for the life insurance reserve, as well as the feasibility of simple.