The valuation of insurance liabilities has traditionally been dealt with by actuaries, who closely monitored underlying illiquid features, assumed a long-term perspective, and exercised their own subjective, expert judgment. However, the new EU regulatory regime of Solvency II (S2) has come to...

In August 2020 we published "Comprehensive Internal Model Data for Three Portfolios" as an outcome of our work for the committee "Actuarial Data Science" of the German Actuarial Association. The data sets include realistic cash-flow models outputs used for proxy modelling of life and health...

Innovative Lebensversicherungsprodukte wie fondsgebundene Lebensversicherungen, Hybrid-Lebensversicherungen und Variable Annuities erfreuen sich rasch zunehmender Nachfrage und haben einen großen Anteil am Neugeschäft in Deutschland. Da traditionelle Versicherungsprodukte weiterhin den...

Compact tariffs are not only used in pension insurance, but also in life insurance. However, in many cases it is necessary to have separate views on those tariffs, since policy management systems developed for life insurance companies are based on tariffs which have separate tariff components,...

Aimed at protection of the market and consumers, the control of solvency is very important for insurer's business activities. Regarding the fact that insurer's insolvency causes a chain of problems, the state regulation is needed that forces insurers to keep their solvency at the necessary...

This work addresses crucial questions about the robustness of the PSDization process for applications in insurance. PSDization refers to the process that forces a matrix to become positive semidefinite. For companies using copulas to aggregate risks in their internal model, PSDization occurs...

Solvency II Standard Formula provides a methodology to recognise the risk-mitigating impact of excess of loss reinsurance treaties in premium risk modelling. We analyse the proposals of both Quantitative Impact Study 5 and Commission Delegated Regulation highlighting some inconsistencies. This...

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...

Participating life insurance contracts entitle the policyholder to participate in the company's annual surplus. Typically, they are also equipped with a surrender option that allows the policyholder to terminate the contract prior to maturity, receiving a predetermined surrender value. The...

We study the dynamics of the one-year change in P&C insurance reserves estimation by analyzing the process that leads to the ultimate risk in the case of 'fixed-sum' insurance contracts. The random variable ultimately is supposed to follow a binomial distribution. We compute explicitly various...