Shpyrko V. Methods and Models of Ruin Evaluation of Insurance Companies.

It has level of reliability evaluation for Ukrainian insurance companies based on classical risk model and its variations as well as defined risk measure of these companies as level of ruin probability. Ways of modeling and evaluation of insurance companies' risks were improved to let usage of classic model widely for insurance markets. As a snapshot possibility of using exact formula for ruin probability calculation when payments have exponential distribution was shown. Also usage possibility of approximate evaluations of insurance companies ruin to get numerical approximation of ruin probability in case when distribution function of insurance payments is not exponential type is shown. 6 approximate formulas can be found in this work to show their applicability in case of different insurance payment distribution functions. As there result different approaches to comparative analysis of classical risk model application are developed. As a case exact and approximate methods for insurance measure risk comparison were obtained. Also classic model was developed for the case when company is working in Markov's environment and for the case of variable insurance premium.