Description: Reports generally display tables of data broken down by many variables. This paper presents a variation of the Whittaker-Henderson graduation method that may be used to graduate such multidimensional data. Followed by several discussion papers submitted

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 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 research paper presents two series formulas for the probability of eventual ruin derived by the operational calculus method. From the Actuarial Research Clearing House ARCH 1989 Vol. 1.

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.

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 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 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 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 uses the power series expansions in relation to the annuity coefficients presented in the 1987 Actuarial Mathematics textbook. From the Actuarial Research Clearing House ARCH 1987 Vol. 1.