An Upper Bound of the Sum of Risks: two Applications of Comonotonicity

This paper discusses the method of comonotonicity to estimate the sum of risks. Two applications are presented. First, we estimate a property insurer.s exposure to claims after a severe storm. Second, we apply our approach to a pension fund.s investment risk to estimate the prospective total assets and the conditional prospective funding rate. Both applications show that comonotonicity can be a useful tool to assess the upper bound for the risk exposure of financial institutions.