
handle: 10722/83035
Summary: We introduce a new premium calculation principle called the standard deviation-skewness premium calculation principle. This premium calculation principle, which satisfies most of the desirable properties of premium calculation principles, has two unknown parameters, \(\alpha_1\) and \(\alpha_2\). These parameters are determined by setting ruin probability levels. Specifically, simulations are used to find the values of \(\alpha_1\) and \(\alpha_2\) such that the probability of ruin does not exceed a certain level of acceptance. We also show how this premium calculation principle can be used to allocate premiums among a block of \(m\) types of homogeneous risks.
risk premium, compound Poisson, Risk theory, insurance, skewness, ruin probability, Statistical methods; economic indices and measures, simulation, risk loading
risk premium, compound Poisson, Risk theory, insurance, skewness, ruin probability, Statistical methods; economic indices and measures, simulation, risk loading
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