Reserves Of Multiple Life Insurance Under Stochastic Interest Rate

Reserve is the most important liabilities of the life insurance company,which represents the liability of insurance company in future.In traditional actuarial model, reserve is calculated by the certain interest rate,and it differs from the practical situation.The rationality of reserve will have a strong impact on insurance company's stability,so it blows the research of computing reserve under the stochastic rate.So far the research is mostly focus on the single life insurance and there have less research on multiple life insurance.We can calculate reserve using the insurance actuarial functions.The uncertainty insurance actuarial functions are mortality rate and the interest rate.Mortality can be decided by large amount of empirical data.The main work of this thesis is the discussion of the multiple life actuarial reserve under the stochastic rate,and the rate is modeling by Wiener process and Possion process.Then we get the reserve expression of multiple life insurance.Finally obtain the specific reserve expression on further assumption of four mortality...