Multiple Life Actuarial Model Under Stochastic Interest Rate

The risk of the interest rate is always the most important factor to the insurance company, especially when pricing and drawing the reserves of the life insurance. Even if there is a tiny alteration, it is a tremendous fluctuation on the operation; therefore it would influence the daily management. So it blows the research of the actuarial model under the stochastic rate. So far the research is focus on the single life insurance, however the research of multiple life insurance is only restricted to the certain interest rate.The main work of this thesis is the discussion of the multiple life actuarial model under the stochastic rate and the certain mortality assumption, finally obtain the present value, balanced premium and Unearned Premium Reserve respectively on the assumption of 2 mortality on the hypothesis of stochastic rate obey the Wiener process.This thesis consist of five parts, the first part is the introduction of the background of the research, and emphasizing the current statue of research of the stochastic rate and multiple life insurance.The second part of is the introduction of the tools and methods applied in the thesis, such as the the theory of the interest and actuarial mathematics.The third part is the introduction of the regular hypothesis of stochastic rate and the mortality.The next part is choosing 2 kinds of the mortality, one is de Moivre, another is the method that regular applied in the field of the non-life insurance after going about the assumption that interest rate obey the Wiener process.The last chapter is the design of multiple insurance policies.