Description: In this paper, the calculation of life insurance functions taking an HIV+ life into consideration is examined. From Transactions of Society of Actuaries 1989, Vol. 41.

Description: This paper reviews recursive formulas for aggregate claim distributions. Followed by a submitted discussion paper

Description: In this paper, the author studies the ‘applications of the integer functions, ceiling and floor, to life contingencies. Various actuarial formulas are derived by applying a theorem of the mean value type for integrals and uniform distribution of deaths assumptions.’ Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1982 Volume 34.

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: 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: 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 article contains reviews of the following books published in 1987-1990: 1. 'Pension Age in a Changing Society' by Patrick Carroll, 2. 'Life Insurance Mathematics' by Hans U. Gerber, 3. 'A History of Probability and Statistics and Their Applications before 1750' by Anders Hald, 4. 'Medical Risks: Trends in Mortality by Age and Time Elapsed' by Edward A. Lew, 5. 'Canadian Handbook of Flexible Benefits' by Robert J. McKay, 6. 'Canadian Insurance Practices' by Franklin Reynolds, 7. 'On the Shoulders of Giants' edited by Lynn Arthur Steen, 8. 'The Value of Pensions in Divorce: What It Is and How to Use It' by Marvin Snyder, 9. 'Life Insurance Accounting' by Edward P. Brunner and Paul E. Heacock, 10. 'Duration Analysis: Managing Interest Rate Risk' by G.O. Bierwag, and 11. 'Actuarial Evidence: Valuing Past and Future Income' by Donald R. Anderson. Notices of other articles and publications are also included. From Transactions of Society of Actuaries 1990, Vol. 42.

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: 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: 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