Stop-loss reinsurance is a risk management tool that allows an insurance company to transfer part of their risk to a reinsurance company. Ruin probabilities allow us to measure the effect of stop-loss reinsurance on the solvency of the primary insurer. They further permit the calculation of the...

Insurance companies need to calculate solvency capital requirements in order to ensure that they can meet their future obligations to policyholders and beneficiaries. The solvency capital requirement is a risk management tool essential for addressing extreme catastrophic events that result in a...

APPLICATIONS OF MATHEMATICS STOCHASTIC MODELLING AND APPLIED PROBABILITY 33 Modelling Extremal Events for Insurance and Finance -- Modelling Extremal Events for Insurance and Finance -- Copyright -- Preface -- Table of Contents -- Reader Guidelines -- 1 Risk Theory -- 2 Fluctuations of Sums -- 3...

As an emerging field of applied research, quantitative risk management (QRM) poses a lot of challenges for probabilistic and statistical modeling. This review provides a discussion on selected past, current, and possible future areas of research at the intersection of statistics and QRM. Topics...