Description: The purpose of this article is to provide a high level summary of the paper “Variance of the CTE Estimator” by B. John Manistre and Geoffrey H. Hancock that appeared in the North American Actuarial Journal in 2005. The authors also expanded on some of the results.

Description: This is a correction to the article Six Bridges to Psi's that appeared in ARCH 1993 Vol. 1. Six methods are included for calculating the probability of ultimate ruin, where the waiting times between claims are independent and identically distributed. From the Actuarial Research Clearing House 1994 Vol. 2.

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 statistical and mathematical method to calculate Stop-Loss Premiums. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1976, Vol. 28.

Description: This paper studies the tail probability of discounted aggregate claims in a continuous-time renewal model. For the case that the common claim-size distribution is subexponential, the authors obtain an asymptotic formula, which holds uniformly for all time horizons within a finite interval. Then, with some additional mild assumptions on the distributions of the claim sizes and inter-arrival times, the authors further prove that this formula holds uniformly for all time horizons.

Description: We derive formulas for calculating the premiums that should be charged on policies in a discounted cash flow model with tax reserves and required assets that are determined by regulation. We also determine the unique division of required assets into “reserves” and “capital” that allows the product profitability to be correctly evaluated. That is, the profit after capital charges is zero if the product achieves the return assumed in pricing. We illustrate the concepts using whole life insurance and guaranteed minimum death benefit examples.

Description: This report looks at closed form models or 'exact solutions' in which calculus produces 'simple' formulae. The conclusion is that for Gaussian interest rate models we can solve the problem of an American option provided the option holder behaviour can be described by a force of option exercise which is linear or quadratic in the state variables.

Description: This report contains estimates of incidence and continuance rates from the general population using data available from the National Long–Term Care Surveys. This report was done by a subcommittee of the Society's Long–Term Care Experience Committee and reflects work done primarily at the Duke University Center for Demographic Studies. This is a ZIP file containing main report, all appendices, tables, and figures from the study and model.

Description: This report describes a stochastic simulation approach used to estimate the amount of a level-payment annuity payable as long as the person is alive and living in his/her house. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.