Description: This paper presents a proof using the general mean value theorem that under specified conditions, the insurance premium for complete protection against a specified loss will decrease with increasing wealth. From Actuarial Research Clearing House 1994, Vol. 1.

Description: Abstract for a paper that develops links between credibility theory in actuarial science and longitudinal data models in statistics. The paper demonstrates that many additive credibility models can be expressed as special cases of the longitudinal data model.

Description: Australia has conducted ten national censuses since World War II: in 1947, 1954, 1961 and at five-year intervals through 1996. Life tables have been prepared in connection with each of these censuses except the most recent one, for which data is still being collected.

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: Describes purpose of ARCH and editorial policy.

Description: Forty-one years of catastrophe loss data by state are used in this study to produce a model for rating catastrophe covers for insurers in any region of the Continental United States. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper explores the use of linear programming as a tool to guide policyholders in getting the most value out of their combined insurance and investment programs. Concentrating on flexible premium universal life within the tax environment of the United States, several linear programming models are developed that can be used at the point of sale, to select the most cost effective policy from those available in the marketplace, and after issue to maximize the present value of future cash flows on the policy of an insured who is in ill-health. From Actuarial Research Clearing House 1991, VOL. 3.

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.

Description: This paper examines four and-a-half years of prescription records for an elderly population who have relatively comprehensive out-of-hospital drug coverage under the Pharmaceutical Assistance Contract for the Elderly program in Pennsylvania. The result is a discussion of the determination of non-parametric estimations of the distributions. From Actuarial Research Clearing House 1991, Vol 1.

Description: The authors offer a method for estimating parameters for well-known three-parameter models of force of mortality. The method involves fitting a series of linear regressions, and finding the least-squares estimates of all the parameters by using the Golden Section Search method. From Actuarial Research Clearing House 1993, VOL. 1.