Description: The Karup-King formula with equal intervals has an elegant symmetric structure providing for efficient calculation. This paper traces the algebra involved in a generalization of this formula to the case of unequal intervals. So far, this formula does not have an elegant structure. However, a degree of elegance can be obtained in terms of matrix notation which can readily be used with a computer language such as APL.

Description: In this paper, the unconditional probability density functions of portfolio claim amounts based on several assumed risk distributions are found. From the Actuarial Research Clearing House 1994 Vol. 2 .

Description: This is a presentation of recursive APL programs for Steffenson's and Romberg's algorithms. The programs call themselves repeatedly until terminating conditions are reached. From the Actuarial Research Clearing House ARCH 1987 Vol. 1.

Description: This is the abstract of a paper that considers a general two-country model of exchange rate dynamics in which interest rates are stochastic. Special cases of this model are also illustrated in which the, interest rates are constant in each country and when interest rates are Gaussian in each country. This model provides an important tool for actuaries dealing with global risk which includes valuation of currency derivatives [forwards, futures, options and swaps], frequency/severity claims model with exchange rate risk in the claim size, valuation of individual insurance contracts written in foreign currency, and valuation of general interest sensitive claims in foreign currency.

Description: A short note on derivatives of decreasing life annuities that was motivated by Exercise 5.35 on page 156 of 'Actuarial Mathematics'. Actuarial Research Clearing House 1993 VOL. 2

Description: This paper describes a method to determine confidence intervals for trend involving resampling - with replacement but without random numbers - of numerical convolutions for sums and quotients, and the estimating of confidence intervals for trend in average size major medical claims.

Description: Mortality rates for a local community are desired in conjunction with the calculation of health-adjusted life expectancy HALE, an indicator of population health.

Description: This is correction to a paper entitled 'Six Bridges to psi,' which was printed in ARCH 1993 Vol 1. From ACTUARIAL RESEARCH CLEARING HOUSE 1994, VOL. 1.

Description: This paper suggests that using the entire runoff triangle to keep a tail on the runoff curve was not necessary, and that doing so was actually a disadvantage if group medical and dental claim payment patterns changed over the period being used. An alternative was presented. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper considers several features in a model that experiences gradual drifts and jumps for prevalence and survivorship as is the case for AIDS. It is an actuarial model for AIDS when transition intensities follow jump-diffusion processes.