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...

Purpose – The purpose of this paper is to highlight some testing procedures, both in time/frequency framework, useful to test for significant cycles in insurance data. The US underwriting cycle is measured using the growth rates of real premiums. Design/methodology/approach – In addition to...

Purpose – The purpose of this paper is to highlight some testing procedures, both in time/frequency framework, useful to test for significant cycles in insurance data. The US underwriting cycle is measured using the growth rates of real premiums. Design/methodology/approach – In addition to...

This paper extends a useful property of the increasing convex order to the multivariate orthant convex order. Specifically, it is shown that vectors of sums of comonotonic random variables dominate in the orthant convex order vectors of sums of random variables that are smaller in the increasing...