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 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 session reviews the past half century's advances in finance such as immunization and hedging theory, modern portfolio theory, capital asset pricing model, option-pricing theory, term structure of interest rate models, and so on. Their application to asset and liability management in insurance and pensions is highlighted and discussed.

Description: Equity-indexed annuities [EIAs] can be viewed as mutual funds wrapped around with various guarantees. A recent paper derived a closed form formula for pricing this dynamic guarantee if early withdrawal from the fund [before maturity] is not permitted. This paper studies the pricing of dynamic protection without a maturity date, i.e., the investor chooses the date to cash in the fund accumulation.

Description: In this paper, the author studies the ‘applications of the integer functions, ceiling and floor, to life contingencies. Various actuarial formulas are derived by applying a theorem of the mean value type for integrals and uniform distribution of deaths assumptions.’ Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1982 Volume 34.

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 time value of ruin in a Sparre Anderson Model and presents multiple equations, including Lundberg's fundamental equation.

Description: This paper is a proof of a conjecture that appeared in a letter to the Editor of The Actuary. From the Actuarial Research Clearing House 1991 Vol.

Description: This paper restates formulae from three textbooks for the Society of Actuaries Course 161 examination which do not use the same set of notation into a common notation. From the Actuarial Research Clearing House 1989, Vol. 2. From the Actuarial Research Clearing House ARCH 1989 Vol. 2.