Wyznaczanie współczynnika bezpieczeństwa na podstawie kwantyla rozkładu sumy roszczeń w portfelu ubezpieczeń komunikacyjnych
Determination of the safety factor based on quantile of the sum of claims distribution in the portfolio of automobile insurance

Summary/Abstract: The insurer calculates the premium to the portfolio by increasing the minimum net premium by the value of the safety factor. The safety factor is the secret of each insurance company. The paper presents methods for determining the safety factor, using the principle of total claims distribution quantile of portfolio insurance. Determining the distribution of the sums of claims is possible among others through approximations with certain theoretical distributions or by applying simulation methods. The results of the analysis of the size of safety factors determined by total claims distribution approximations are presented in the paper.

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