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Premium calculation in insurance activity

Abstract This paper presents several premium calculation principles used by insurance companies in order to calculate the premium values requested to their clients, as a payment for its risk exposure. Several practical examples are also presented, in which premium values are obtained either from analytical calculation and computational methods. Under some specific circumstances, it is possible to reach an approximation to the ruin probability of an insurance claiming one particular monetary amount as premium. Premium values are also obtained within the context of Cramér-Lundberg risk model and within risk models with claims modelled by non-homogeneous Poisson processes.