The article presents a collective risk model for the insurance claims. The objective is to estimate a premium, which is defined as a functional specified up to unknown parameters. For this purpose, the Bayesian methodology, which combines the prior knowledge about certain unknown parameters with...

In this paper, we study a generalised CIR process with externally-exciting and self-exciting jumps, and focus on the distributional properties and applications of this process and its aggregated process. The aim of the paper is to introduce a more general process that includes many models in the...

The purposes of the study are to substantiate the influence of the specific features of insurance on the set of management accounting objects and to develop a mechanism of preparing the relevant information for insurance risk management. Management accounting allows generating reports, specially...

When information on longevity (survival functions) is unknown early in life, individuals have an interest to insure themselves against future "risk-class" classification. Accordingly, the First-Best typically involves transfers across states of nature. Competitive equilibrium cannot provide such...

In a perfectly competitive market for annuities with full information, the price of annuities is equal to individuals (discounted) survival probabilities. That is, prices are actuarially fair. In contrast, the pricing implicit in social security systems invariably allows for cross subsidization...

In a two-stage model insurance companies first decide upon risk classification and then compete in prices. I show that the observed heterogeneous behavior of similar firms is compatible with rational behavior. On the deregulated German insurance market individual application of classification...