Description: The Cauchy integral formula is applied to derive various results on divided differences.

Description: We present a method to calculate the percentile of the distribution of the present value of the death benefit for a continuous deferred whole life Insurance.

Description: This paper develops mathematical transformations of variable interest credit and mortality charge scales to simplify calculation of policyholder cash value accumulation and related amounts. These transformations are of theoretical as well as practical interest. Additionally, they suggest new product designs. From Transactions of Society of Actuaries 1987, Vol. 39.

Description: This paper presents enhancements to the classical cash-flow matching approach to developing fixed income portfolio investment strategy by allowing cash carry-forward and borrowing from future surpluses.

Description: This paper discusses extending the general nonparallel shift approach to duration analysis developed previously and explores the immunization model within the multivariate context. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: The purpose of this paper is to provide a survival analysis of persons in the various stages of HIV infection typically leading to AIDS and ultimately death. From Transactions of Society of Actuaries 1988, Vol. 40, Pt. 1.

Description: This presentation shows that, if the options or guarantees are exercisable only at the moment of death of the policyholder, the mathematics simplifies to an elementary calculus exercise.

Description: This paper discusses the pricing of bond options and interest-sensitive cash flows by discrete state/time models such as binomial lattices. Current binomial models are faulty because the put-call parity relationship may not hold for all periods and there may exist negative interest rates. This paper presents a binomial model without such riskless arbitrage opportunities. This model allows the initial term structure of interest rates to be prescribed exogenously, so that the model price for each stream of fixed and certain cash flows is the market price.

Description: This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The classical model is generalized by discounting with respect to the time of ruin. The authors show how to calculate an expected discounted penalty, which is due at ruin, and may depend on the deficit at ruin and the surplus immediately before ruin.

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.