In this paper, we develop a model supporting the so-called square-root formula used in Solvency II to aggregate the modular life SCR. Describing the insurance policy by a Markov jump process, we can obtain expressions similar to the square-root formula in Solvency II by means of limited...

The present work complements the recent paper by Barz and Müller (2012). Specifically, upper and lower bounds are derived for the force of mortality when one-year death probabilities are given, assuming a monotonic, convex or concave shape. Based on these bounds, worst-case scenarios are...