Description: This article presents the needed mathematical techniques and obtains values for active life expectancies in which dependent lives are followed after regaining independence. Secondly, projections of active life expectancies are developed to the year 2080, under three sets of assumptions, for 65 year old men and women. Finally, estimates of the average numbers of years of dependency in ADL prior to death of 65 year old men and women are provided under alternate sets of assumptions. From the Actuarial Research Clearing House 1991 VOL. 2.

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: A simplified model adapts very easily to simulation by a computer, and this is what the author has done with several selected pairs of probability distributions in order to calculate the probability of a casualty company's being ruined shortly after its establishment. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 61.

Description: This article contains reviews of the following books: 1. 'Fundamental Mathematics of Life Insurance' by Floyd S. Harper and Lewis C. Workman, 2. 'Mathematics of Compound Interest' by Marjorie V. Butcher and Cecil J. Nesbitt, 3.'Compound Interest and Annuities-Certain' by D. W. A. Donald, 4. 'Demography' by P. R. Cox, 5. 'The Spirit and the Uses of the Mathematical Sciences' edited by Thomas L. Saaty and F. Joachim Weyl, 6. 'Ethics, Morality, and Insurance' by John D. Long, 7. Reports of the 1971 Advisory Council on Social Security, 8. 'Medical Care at Public Expense' by Mark V. Pauly 9. 'Eleventh Actuarial Valuation of the Assets and Liabilities under the Railroad Retirement Acts as of December 31, 1968, with Technical Supplement' by the Railroad Retirement Board, 10. 'Nouvelles tables-types de mortalité' by Sully Ledermann, 11. 'A Table of Expected Working Life for Men, 1968' by Howard W. Fullerton, 12. 'Disability-Determination and Evaluation' by Henry H. Kessler, 13. 'Industrial Safety Statistics: A Re-examination' by Jerome B. Gordon, Allan Akman, and Michael L. Brooks, 14. 'Pensions and Severance Pay for Displaced Defense Workers' by Hugh Folk and PauI Hartman, 15. 'Trends and Variations in Fertility in the United States' by Clyde V. Kiser, Wilson H. Grabill, and Arthur A. Campbell, 16. 'Benefit Plans in Junior Colleges' by Francis P. King, 17. 'The Consumer's Guide to Insurance Buying' by Vladimir P. Chernik, and 18. 'Private Pension Scheme Finance' by Sylvia and Leslie Tutt. Notices of other studies and articles are also included. From Transactions of Society of Actuaries 1971, Vol. 23, Pt. 1, No. 67.

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 initial risk reserves in collective risk models vary according to the underlying claim distribution, and a suitable level of ruin probability. A thorough analysis of the needed initial surplus for various ruin probability levels is provided in eight meaningful examples. The claim distributions are drawn from various fields of insurance, including property damage and liability insurance.

Description: In this paper, a mathematical model is constructed to study the deviations of claims, investment performance, operating expenses, and lapse expenses as random stochastic processes. Discussions of the paper submitted by 2 readers follows

Description: Demography is a very exciting subject. With a simple mathematical model, students can project a country's population forward 25, 59, 75 even 100 years. This paper will focus on six ideas from demography. They all can be useful to an actuary, yet none of them would be considered at any length if the actuary didn’t study demography.

Description: This paper derives formulas for obtaining the ruin function and the distribution of total claims of collective risk theory. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 57.

Description: This paper derives a formula for approximating the ruin function of collective risk theory. Use of the ruin function to determine the amount of initial capital needed for a new line of business is discussed. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.