Description: The purpose of this note is to demonstrate the derivation of unisex single life and joint life annuity values, and early retirement and joint and survivor option factors based on certain assumptions. From Transactions of Society of Actuaries 1976, Vol. 28.

Description: Traditional pension cost methods are based on the actuarial present value of future benefits [which is a mean value]. As a consequence, these cost methods are deficient because they cannot provide plan sponsors with certain valuable information such as the probability that the accumulation of a particular sequence of contributions will ultimately provide sufficient funds to pay benefits, or the size of fund needed to ensure that retirees' lifetime benefits are paid with a specified probability. In response to these deficiencies, a new family of cost methods, called a-percentile cost methods, is developed. These cost methods are based on the probability of adequately covering all participants' benefits. Expressions for the normal cost, the accrued liability and the gain are provided. From Transactions of Society of Actuaries 1993, Vol. 45.

Description: The primary purpose of this paper is to set forth one method of evaluating vested pension costs and to suggest a simple way for the actuary to make provision in his pension cost calculations for specific vesting schedules. From Transactions of Society of Actuaries 1966, Vol. 18, Pt. 1, No. 52.

Description: Among many purposes, this paper will outline the theory of gain and loss analysis for pension fund valuations, indicate practical problems met in applying the theory to two model plans and show the Fackler accumulation formulas. From Transactions of Society of Actuaries 1959, Vol. 11, No. 31.

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: This paper describes the actuarial valuation method for pension plans, the formulas and assumptions used, and the way these assumptions might be chosen. A case study is presented. Followed by several discussion papers submitted

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: 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: A new approach to computing annual pension costs, based on an open-group projection of the participant population for a number of years, was described in detail in a paper published in the 1975 Transactions, entitled 'The Forecast Valuation Method for Pension Plans.' That paper described the operation of such a cost method at the initial valuation date. This paper discusses several alternative approaches to projection valuation methods and also describes how costs should be computed at valuation dates after the first one. In addition, the author illustrates projected contributions and asset buildups under both traditional [closed-group] cost methods and projected [open-group] cost methods, for a number of years under a variety of assumptions as to the growth rate of the participant group. Projection valuation methods have not been described heretofore in sufficient detail to make it possible for actuaries to use them on a recurring basis or for the Internal Revenue Service to make a determination as to the acceptability of such approaches for computing tax-deductible pension plan contributions. It is the hope of the author that this paper will fill both of those gaps. From Transactions of Society of Actuaries 1977, Vol. 29.

Description: This paper addresses how to explain yearly fluctuations and computed pension cost in terms of deviations of actual from expected experience. It presents a method for deriving gain-an-loss analysis formulas directly from the valuation formulas and shows that the analysis is implicitly defined by the valuation formulas, rather than something which can be considered apart from them. This method can be used to attack both individual and aggregate cost methods and the development of exact analysis formulas provides not only the basis for computation but also valuable insight into the mechanisms by which cost methods adjust computed costs to reflect actual experience.