Description: Usual treatments of multiple-decrement theory are on a nonselect basis, with all rates of decrement depending only on attained age. This paper develops the theory on a select basis, carried out fully in the stochastic framework. The relationship between select periods in a multiple-decrement model and those of the associated single-decrement models is investigated. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

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 considers policies with annual premiums and discusses four types of life insurance reserves calculations: curtate, fully continuous, discounted continuous, and semicontinuous. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: The purpose of this paper is to examine a special case of option pricing theory in which the insurance company promises the customer to exercise the option for him. This paper presents a simple formula for valuing the option. From the Actuarial Research Clearing House 1991, Vol.1.

Description: This paper presents how to compute how fast a country is growing. From the Actuarial Research Clearing House 1991 VOL.2.

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 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: This paper uses the power series expansions in relation to the annuity coefficients presented in the 1987 Actuarial Mathematics textbook. From the Actuarial Research Clearing House ARCH 1987 Vol. 1.

Description: Traditional discounting is hazardous to corporate health unless, as this paper demonstrates, it is turned on its head and insurance managers adopt the methods of prudent bankers. From Transactions of Society of Actuaries 1987, Vol. 39.

Description: This paper is intended to acquaint actuaries with a simple and practical application of the ruin function technique in the determination of the C-2 mortality risk reserve needed for individual life insurance business. Followed by 2 discussion papers submitted