Analytical and computer implementation models of approximate calculation of probabilistic parameters of short-term life insurance

Abstract

The work is devoted to the practical application of short-term life insurance models. Theorems are given on which approximate methods for calculating the probability characteristics of the summary risk and analytical solutions of key examples based on these mathematical models are based. A comparative analysis of the results of decisions on Poisson and Gauss models was carried out. The application of the more general Gauss model to cases of different groups of insured in insurance companies with different conditions of their life insurance contracts for 1 year is shown. Solution algorithms are also implemented in the computer – a software module has been created to calculate the probabilistic parameters of the total claim: net premium, real payment for insurance, insurance premium, relative insurance premium. Software module codes are compiled in object-oriented language C # using Visual Studio. The module allows you to carry out actuarial calculations of the characteristics of the work of the insurance company with input data, such as the number of contracts, the insurance amount in case of an insured event, the probability of presenting claims, etc. The application of the software module to such probabilistic calculations allows rational use of the operating time of insurance companies and accelerates their adoption of current decisions, especially in cases of implementation of portfolios of various types of short-term insurance.