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: 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: The paper presents arguments to show that a fully funded social security scheme is no more secure economically than a pay as you go scheme....that is, for real retirement income security the funding mechanism is irrelevant. From Actuarial Research Clearing House, January 1996, VOL. 1.

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: 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 presentation from the 1998 Actuarial Research Conference is about about retirement plans in the late 1990's. From Actuarial Research Clearing House 1999, Vol. 1.

Description: This is the abstract of the paper Risk Classification by Fuzzy Cluster. In this paper an algorithm for risk classification is proposed. This algorithm is based on the concepts of fuzzy cluster. We test our algorithm with two examples, the results are very promising.

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: This paper presents best upper and lower bounds on the expected value of a reinsurance payment under the terms of a contract written on a random loss with known moments. Bounds on the expected exercise value of a financial option are considered also because the mathematical model used for valuing options is similar to that used in reinsurance net premium calculations. From the Actuarial Research Clearing House ARCH 1990 Vol. 1.

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.