The Solvency II standard formula measures interest rate risk based on two stress scenarios which are supposed to reflect the 1-in-200 year event over a 12-month time horizon. The calibration of these scenarios appears much too optimistic when comparing them against historical yield curve...

In this paper I assess the effect of interest rate risk and longevity risk on the solvency position of a life insurer selling policies with minimum guaranteed rate of return, profit participation and annuitization option at maturity. The life insurer is assumed to be based in Germany and...

The Liikanen Group proposes contingent convertible (CoCo) bonds as instruments to enhance financial stability in the banking industry. Especially life insurance companies could serve as CoCo bond holders as they are already the largest purchasers of bank bonds in Europe. The growing number of...

This work focuses on developing an internal model for equity risk under Solvency II. We have used monthly data for the series of Ibex 35, Cac 40, FTSE 100 and Dax in the period between January 1992 and December 2008. This work fits by maximum likelihood method the model of normal returns, based...

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...

Longevity risk constitutes an important risk factor for life insurance companies, and it can be managed through longevity-linked securities. The market of longevity-linked securities is at present far from being complete and does not allow finding a unique pricing measure. We propose a method to...