A Modified Risk Theory Model: Theoretical Analysis of Dividends

This paper refers to the classical collective risk theory model, mod-ified by the inclusion of a double reflecting barrier. In fact, both the presence of a lower horizontal barrier (i.e. a dynamic solvency insur-ance contract) and a particular kind of upper barrier are considered. A theoretical analysis of dividends paid by the Company is given. In this context, a stochastic process to model the force of interest accumula-tion function is assumed, in order to study the dividends expected present value.