Beim Abschluss langfristiger Spar- und Versicherungsverträge (z. B. zur Altersvorsorge) erhalten Kunden Beispielrechnungen über die mögliche Wertentwicklung ausgehändigt. Beispielrechnungen gehören zu den wichtigsten Anhaltspunkten bei der Branchen-, Unternehmens- und Produktauswahl. Kunden...

In this paper, we test the efficiency of least-squares Monte Carlo method to estimate capital requirements in life insurance. We choose a simplified Gaussian evaluation framework where closed-form formulas are available and allow us to obtain solid benchmarks. Extensive numerical experiments...

We introduce an additive stochastic mortality model which allows joint modelling and forecasting of underlying death causes. Parameter families for mortality trends can be chosen freely. As model settings become high dimensional, Markov chain Monte Carlo (MCMC) is used for parameter estimation....

The Solvency II directive asks insurance companies to derive their solvency capital requirement from the full loss distribution over the coming year. While this is in general computationally infeasible in the life insurance business, an application of the Least-Squares Monte Carlo (LSMC) method...

The least-squares Monte Carlo method has proved to be a suitable approximation technique for the calculation of a life insurer's solvency capital requirements. We suggest to enhance it by the use of a neural network based approach to construct the proxy function that models the insurer's loss...