Description: This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The classical model is generalized by discounting with respect to the time of ruin. The authors show how to calculate an expected discounted penalty, which is due at ruin, and may depend on the deficit at ruin and the surplus immediately before ruin.

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

Description: This paper considers the distribution of aggregate claims of an insurer. The general form of the distribution is considered initially, and, after a few mild restrictions are imposed, it is characterized as being a compound distribution. Followed by one submitted discussion paper.

Description: This paper discusses the time value of ruin in a Sparre Anderson Model and presents multiple equations, including Lundberg's fundamental equation.

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 provides commentary on the paper entitled 'A Discrete Equilibrium Model of the Term Structure' by N. J. Macleod, and J. D. Thomison. From Actuarial Research Clearing House 1990, VOL. 2.

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 on the duality between uniform deaths and Balducci assumptions was motivated by earlier referenced works in which exposure formulas based upon the assumption of the uniform distribution of deaths were analysed. From ACTUARIAL RESEARCH CLEARING HOUSE, 1980 VOL. 2.

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.