Description: A short note on derivatives of decreasing life annuities that was motivated by Exercise 5.35 on page 156 of 'Actuarial Mathematics'. Actuarial Research Clearing House 1993 VOL. 2

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 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 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 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: 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 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: The following problem is from the 1968 Society of Actuaries Part 4 Examination on Life Contingencies. It is an instructive problem because it interweaves joint-life functions with single-life reserves.

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: 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