Installment Joint Life Insurance Actuarial Models with the Stochastic Interest Rate

摘要

Actuarial theory in a stochastic interest rate environment is an active research area in life insurance. Installment joint life insurance actuarial theories are one of the key contents in actuarial theory. In this study, an interest force accumulation function model with a Wiener process and a Poisson process is proposed as the basis for the installment joint life insurance actuarial models. Then increasing life insurance actuarial models with the consumer price index are approximated. With the proposed model, the net single premium, net level premium, the reserves and the risk of loss model are provided. The actuarial models in the paper provide a feasible method to calculate the life insurance premium.