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: In this paper, a general multivariate duration analysis is introduced that does not depend on a mathematical formulation of the way in which a yield curve moves. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This paper addresses the extension of the theory of life contingencies to a stochastic interest environment and its application to solvency valuation and surplus. A discussion of the paper follows. From Transactions of Society of Actuaries 1990, Vol. 42.

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: 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 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 a unifying non-Bayesian statistical method for incorporating prior information into the determination of probability distributions and other finite measures and develops the statistical properties of this method together with actuarial applications. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This is a study note that supplements material contained in the book, 'Actuarial Mathematics,' 2nd edition, by N. L. Bowers, Jr., H.U. Gerber, J.C. Hickman, D.A. Jones and C.J. Nesbitt. The topics covered include integer functions, uniform distribution of deaths throughout each year of age, and annuity coefficients.

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: This paper shows that the Esscher transform is also 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. Two applications are presented, the first for valuing a European call option and the second for pricing derivative securities of multiple risky assets.