Semi-continuous Life Insurance Actuarial Model With The Stochastic Interest Rate

With the rapid development of the global economy，the insurance industry has becomemore and more important to the public from all over the world，especially life insurance．Theinterest force accumulation function model is constructed by standard Wiener process and thenegative binomial distribution，a series of semi-continuous life insurance actuarial model ofimmediate payment of insurance benefits after died and pay the life annuity under randominterest rates at the beginning．Details are as follows：Firstly，the status of development about domestic and foreign life insurance actuarialtheory is reviewed and the structure of this paper is given．Secondly，the basic expertise of actuarial models on life insurance is introduced：onevariable survival model，dual survival model，one variable life insurance actuarial model，dual life insurance actuarial model and the forms of their related functions of death forceanalytical models．Thirdly，with the accumulation function of interest force is joint modeled by standardWiener process and negative binomial distribution，the actuarial model of one variable andbinary life model of the single premium pure premium，life annuity，semi-continuous annualpayment of the pure premium and responsibilities reserve are constructed．Finally，the Weibull death force assumption is used in the above model，the actuarialexpression of the single life and the couple joint life insurance premiums are derivated．Theresults of semi-continuous annual payment of the pure premium and responsibilities reserveunder the stochastic interest rates with assumption of Weibull death force are calculated byusing MATLAB，the liability reserve specific results，and the influence of changes of differentparameters in the model to annual payment of pure premium and liability reserve are analysed．...