Description: This is the abstract from a 1998 presentation at the 33rd Actuarial Research Conference regarding the revised syllabus for the Society of Actuaries education and examination program for 2000.

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.

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 presents a formula for calculating the expected rate of return on shareholders' equity when an insurance company raises capital by issuing subordinated indebtedness. The ROE formula is also applicable to the case of raising capital by issuing nonconvertible preferred shares. From Actuarial Research Clearing House 1991, VOL. 2 .

Description: This paper shows that the Esscher transform is an efficient technique for valuing derivative securities if the logarithms of the prices of the primitive securities are governed by certain stochastic processes with stationary and independent increments. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: This paper presents recursion formulas in relation to FAS 87, Employers Accounting for Pensions. From Transactions of Society of Actuaries 1987, Vol. 39.

Description: This paper applies the duality theory of linear programming to provide insights for generalizing and solving the cash-flow matching problem.

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: 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: 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.