Description: The objective of this paper from the Transactions of Society of Actuaries 1964, Vol. 16, Pt. 1, No. 44 AB, is to illustrate some of the alternative approaches to making approximate probability statements about the present value of life annuities assuming a specified distribution of the random variable, time until death, and a fixed interest rate.

Description: Concomitant with the industrial revolution, the function of providing old age income shifted from families and local institutions to government social security and private pension plans. The history of this change in the U.K. and U.S. is reviewed. A simple mathematical model provides insights into the role played by three rates [the rate of increase of the working population, the time preference rate, and the rate of real wage growth] in determining optimum funding policy. From Actuarial Research Clearing House 1994, Vol. 2.

Description: This paper discusses the Bayesian graduation method of Kimeldorf and Jones and develops methods for managing four technical problems in their method. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1977, Vol. 29.

Description: The paper discusses the optimal design of dividend - or premium refund - formulas that occur in connection with group insurance contracts. Sample formulas are provided and analyzed from a statistical analysis perspective . Followed by 2 discussion papers submitted

Description: These notes are a follow-up to the paper 'Introduction to the Dynamics of Pension Funding' by the same authors and published in Transactions of Society of Actuaries 1976, Vol. 28. The purpose of that paper was to provide an introduction to mathematical principles applicable to pension funding under dynamic conditions of population growth, inflation, and automatic adjustment of benefits. The first note discusses a general contribution formula and a number of special cases and modifications. The second note concerns aggregate cost funding when the actuary uses assumptions about cost factors which differ consistently from cost experience. The final note concerns the variation of the annuity unit under a variable annuity program patterned after the plan employed by the College Retirement Equities Fund [CREF]. From Actuarial Research Clearing House 1981, Vol. 1.

Description: In this paper a new method of adjusting probabilities of death for short age interval, based on the assumption of a modification in one of the forces of decrement, is developed.

Description: In this paper two theorems concerning the optimality of the perfect-fit and perfect-smoothness graduations are proved. Two examples are presented and some difficulties with regard to computational feasibility are reviewed. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: These are discussions of the following research papers: 1. 'Actuarial Functions as Expected Values' by John A. Fibiger and Stephen G. Kellison, and 2. 'A New Look at Gain and Loss Analysis' by Arthur W. Anderson. From Transactions of Society of Actuaries 1971, Vol. 23, Pt. 1, No. 66 AB.

Description: This paper outlines a method of parametric modeling that may be used to produce forecasts and forecast intervals that will convey a measure of the reliance that may be placed on the forecasts. Followed by 2 discussion papers submitted

Description: In this paper, a general model for a pension plan involving growth with respect to the population, salaries, and retirement benefits is used to study contribution patterns that may arise under different actuarial cost methods. Detailed results are presented for the case where the growth of population and the growth of salaries are described by exponential functions. Economic implications are presented and discussed. From Transactions of Society of Actuaries 1979, Vol. 31.