The present paper considers a retiree of a certain age with an initial endowment of investable wealth facing the following alternative investment opportunities. One possibility is to buy a single premium immediate annuity-contract...

The standard methods for the calculation of total claim size distributions and ruin probabilities, Panjer recursion and algorithms based on transforms, both apply to lattice-type distributions only and therefore require...

Numerical evaluation of compound distributions is one of the centralnumerical tasks in insurance mathematics. Two widely used techniques are Panjer recursion and transform methods...