Abstract:

This paper describes the authors works at economic-mathematical model that provides a formal mathematical approach to determine the appropriate management decisions about changes in ratification system of insurance company to hold a portfolio of insurance contracts under the desired level of profitability. This paper describes the mathematical formalization of the concept of "ratification system", describes how to mathematically take into account the qualitative characteristics of objects of insurance, describing the risk associated with the latter. Also, the paper presents methods for calculating the basic financial flows that take place for an insurance company; given variant of calculating such financial indicator as a combined loss ratio and describes qualitative characteristics for all possible numerical values of this index. The main result and novelty of the paper is discrete model for optimal control of ratification system of insurance company that if used in the practice of the insurance company can act as a decision support system. Also, there are advantages and disadvantages of the resulting model.

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