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 classical collective risk theory, the aggregate claims process is assumed to be compound Poisson. In this paper the authors examine a more general model for the aggregate claims process: processes with independent, stationary and non-negative increments. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This is a summary of the progress of a Credit Risk Study sponsored by the Society of Actuaries analyzing the credit risk of private placement bonds and commercial mortgage loans. This study is a pilot effort undertaken to determine the feasibility of such a study on a regular basis.

Description: The paper is an individual risk theoretical examination of annuities for the aged. Through retirement systems, social security and insurance plans, annuities for the aged are a very significant matter and are worthy of inquiry. From the Actuarial Research Clearing House 1992 Vol. 2.

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.

Description: This paper introduces the Bond Manager's Method for ALM which allows the impact of a change in interest rate levels on the present value of a stream of cash flows to be directly determined from the coupon rates and prices on benchmark bonds without the intermediate step of determining spot rates. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper presents a proof on the subject of uniqueness of interest rates in a borrowing/lending model for possible student use in undergraduate classes in the theory of interest. From Actuarial Research Clearing House 1993, VOL. 3.

Description: The authors have been involved with the development of an economically unbiased model for the distribution of pension benefits in divorce. While the research is not completed, it was felt that some of their findings and insights might be of interest to the actuarial community. In view of this, the purpose of this article is to: 1. Present the findings of the authors with respect to their review of major court cases, and 2. Identify major actuarial issues which are as yet unresolved. From Actuarial Research Clearing House 1990, Vol. 1.

Description: This paper examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore the pricing of catastrophe risk bonds requires an incomplete markets setting and this creates special difficulties in the pricing methodology. The paper briefly discusses the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.

Description: This paper compares percentile estimates of a large number of cash flow testing scenarios, where only a very small number fall in the ruin tail, by parametric and non-parametric methods.