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

Description: Abstracts of various papers published in ARCH 1983 Vol. 1

Description: This paper reviews Redington's theory of immunization and sketches how it may be extended to the general case of stochastic flows by means of modern option-pricing theory. From the Actuarial Research Clearing House 1992 Vol. 1 .

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.

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: Presents some elementary and down-to-earth calculations for the optimal dividend strategy that maximizes the expectation of the discounted dividends until the possible ruin of a company.

Description: This abstract describes a presentation that 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: In this paper, the coefficients of the minimum-Rz moving-weighted-average formulas are derived using matrix algebra and the method of Lagrange multipliers. Reviewer's note: This mathematics can be useful in the graduation process of mortality and morbidity table construction

Description: In this paper we study the pricing of financial options and contingent claims. We show that two time-honored concepts in actuarial science - the Esscher transform and the adjustment coefficient - are efficient tools for pricing many options and derivative securities if the logarithms of the prices of the primitive securities are certain stochastic processes with stationary and independent increments. We also study the pricing of American options on two stocks without expiration date and with payoff functions which are homogeneous with respect to the two stock prices.