Implementation method for building annuity model and average residual lifetime model

Abstract

The invention relates to an implementation method for building an annuity model and an average residual lifetime model. The method includes the following steps that firstly, an annuity factor calculation process is established, calculation is conducted under two different conditions, individual parameters such as sexes, age, discount rate and lifetime upper limit are set under the two conditions, the number of living people from the current age to death each year is determined, the death rate is determined according to the number of living people, the discount rate is introduced for calculation, and finally annuity factors are obtained; then, calculation of residual lifetime factors is conducted, individual parameters such as sexes, age and lifetime upper limit are set, the number of living people from the current age to death each year is determined, an exposure data formula is introduced, solution of two parts of exposure data is conducted in sequence, and finally residual lifetime factors are obtained. According to the implementation method, agreement between actual conditions of different individuals and different welfare payments can be achieved, and the precision of calculation results can be optimized.

Description

technical field [0001] The invention relates to the field of actuarial calculation (actuarial calculation evaluation, life insurance actuarial calculation, etc.), in particular to a realization method of building an annuity model and an average remaining life model. Background technique [0002] Actuarial calculations generally use various scientific and effective methods such as modern mathematics, statistics, finance and law to analyze, evaluate and manage future risks in various economic activities. Foundation. For example, actuarial calculation of life insurance refers to the use of knowledge and principles of mathematics, statistics, finance, insurance and demography to solve the items that require accurate calculation in commercial insurance and social security business, so as to ensure the stability and safety of insurance operations sex. [0003] The calculation of death exposure number, actuarial present value, and survival function involved in this case has class...

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Problems solved by technology

[0003] The calculation of death exposure number, actuarial present value, and survival function involved in this case has classical calculation formulas in mathematical knowledge, but when the age parameter is involved, only the case where the age is an integer is considered. In the actual actuarial calculation, the individual age is not Integer ages are mostly the case, and the classic calculation model does not fit well with the actual actuarial situation.

[0004] Based on the above conclusions, it is necessary to combine the experience in the actual actuarial field to improve the annuity model and the remaining life model; because the calculation of the annuity factor and the average remaining life are two important indicators in the actuarial field, and the calculation process is cumbersome, it is difficult to implement in practical applications. Many different individuals are involved, and there are multiple accumulation and integral calculations in the calculation. Manual calculation will consume a lot of time

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