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Analysis of 2000-2003 new life tables effect on life insurance. (Chinese. English summary) Zbl 1174.62561
Summary: With the new life table of 2000-2003, life insurance pays more attention to the mortality rates. For example, considering the mortality rate development trend and its effect on life insurance in the future. So we should study more about it. In this paper, in the first section, specific background is introduced. As to mortality force, its function are estimated by the least squares method and a credibility test is given in the second section. In the third section, it is shown the relationship which reflects the mortality force change with time lapse under the life tables of 1990-1993 and 2000-2003. Moreover, the concept of random variables of Brownian motion for the mortality force formula is given. Parameter estimation and tests are given in section two. Further, forecasts of the effect of decreasing mortality trends on the net premium of annuity are given, and also a concrete example to analyze the longevity risk. Lastly, some remarks and recommendations are given.
62P05 Applications of statistics to actuarial sciences and financial mathematics
91D20 Mathematical geography and demography