Description: This paper develops a family of accrued benefit actuarial cost methods which permits the purchase of retirement income at either an accelerating or decelerating rate. From Transactions of Society of Actuaries 1967, Vol. 19, Pt. 1, No. 54.

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 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.

Description: An extension of a paper published in the 1952 Transactions by the same author, describing and classifying various funding methods for defined benefit pension plans. Followed by discussion papers submitted by several authors.

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: 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.