Description: In this paper, we propose measures of the risk that the value of the liabilities becomes larger than the value of the assets, and this especially for insurance companies. We study probabilities of mismatching and a degree of mismatching in unsegmented and multidimensional models of the balance, in which we stress the influence of interest rates on the active and passive side of the balance.

Description: In recent years a lot of time has been spent discussing a variety of different ways to measure the performance of an insurance company. One of the dominating concepts in the discussion of this has been 'Economic Capital' and with this the question of allocation of the [Economic] Capital with the intention of introducing a risk related measure of performance. In this paper, the authors view the performance measuring as a question of determining the appropriate distribution of a risk loading for participants in a risk pool having the overall risk priced by an actuarial premium principle. They show that the covariance principle can be found as the optimal solution to this risk sharing problem and show that the covariance principle fulfills some reasonable requirements. They furthermore suggest how the covariance principle can be at the basis of a target setting procedure for a multi-line insurance company.

Description: This paper reviews the Value At Risk concept, a financial risk management tool and discusses its application to insurance. Difficulties with this application are described and modifications suggested. An alternative tool, expressed as a risk adjustment to economic value, is suggested as an additional measure.

Description: In this paper, the author uses simple risk portfolios to discuss the abilities and shortcomings of the current methodologies for Value-at Risk [VaR], and suggests methodologies which can be used to facilitate the aggregation of VaR measures.

Description: We find the necessary and sufficient conditions for fitting five given moments by a triatomic distribution. We consider three examples drawn from fire large spread, individual life medium spread and group life small spread insurance data, fit them with triatomics, and compute the ruin probabilities using well known formulas for discrete and for combination of exponentials claim amounts. We then compare our approximations with the exact values that appeared in the literature.

Description: Easy access computing power is harnessed to approximate ruin probabilities. The dynamics of the traditional insurance model are stated in the form of period to period constraints. This allows the development of a life-table with the survival probabilities for a given set of parameters. Given the spreadsheet approach of the model, sensitivity analysis to study the impact of different parameter values and loss variable distributions can be easily implemented.