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.

Description: This paper uses a Bayesian approach to persistency to explore retirement cost projection variability. The analysis is divided into two parts. In the first part a subjective population projection model is developed, based on a beta-binomial distribution for the number of participants persisting through a given age. Probability statements regarding such items as the number of participants at a given age and the distribution of retirees are developed. The second part shows how the model might be used to generate confidence intervals for retirement cost projections. Both the single-entry-age case and the multiple-entry-age case are considered. From Transactions of Society of Actuaries 1979, Vol. 31.

Description: This paper demonstrates how, under the projected benefit cost methods whereby the gains are reflected in the normal cost rate, gains determined at a given valuation date are amortized over the future working lifetime of the active employees included in the valuation as of that date.

Description: This paper surveys the actuarial techniques connected with salary scale mathematics for the valuation of defined benefit pension plans. Followed by several discussion papers submitted

Description: In this article, the authors introduce a new policy-making model for pension plan funding which openly represents the uncertainty. The word 'policy' is used here to indicate a strategy which is intended to be followed most [but not necessarily all] of the time. In unusual circumstances, the policy will have to be modified at the end of the year to retain qualification. However, the frequency with which this remedial action is needed is controllable by the actuary [unlike the method of using expected values]. The simple substitution of expected values of random quantities produces an unknown frequency of last minute remedial actions at possibly disastrous investment costs to the pension plan. However, with this paper's techniques, once the actuary acknowledges the uncertainty associated with the various aspects of the pension plan, he/she can explicitly trade off the costs associated with remedial actions, tax penalties, etc. with the investment returns in order to meet the pension plan goals. The method that this paper introduces is a new Chance-Constrained Programming approach to selecting annual contribution levels and asset allocation [holding other factors fixed] that the authors believe will better fit the employer's goals while recognizing the many risks and constraints associated with defined benefit plans. From Actuarial Research Clearing House 1993, Vol. 3.

Description: The purpose of this paper is to discuss modified cost methods that have been proposed for small-plan valuations, The first portion of the paper deals with criteria for choosing a cost method. The next portions deal with small-plan characteristics and the potential shortcomings of conventional cost methods when applied to these plans. The final portion discusses two classes of modified cost methods that have been proposed for circumventing these shortcomings. From Transactions of Society of Actuaries 1983, Vol. 35.

Description: This summary is intended to provide the pension actuary with guidance in interpreting and using the termination and retirement information in the 2003 SOA Pension Plan Termination and Retirement Study. The tables in the study were developed based on 1.7 million life years of data from 112 plans collected primarily from actuarial consulting firms for the period 1995 – 2000.

Description: This study summarizes the results of the the Society of Actuaries' Non-Mortality Decrement Task Force data collection effort of plan turnover data for years 1994-2000. Service, by itself, seems not to be a good predictor of retirement. Service and age are each good predictors for termination it is found. The report is designed to offer actuaries information about turnover as it pertains to defined benefit plans.

Description: This paper investigates salary functions as they are used in the valuation of pension plans. Pension actuaries may find many of the ideas in this article useful. Moreover, the paper may be interesting to researchers in actuarial science. The main conclusion of this paper is that salary functions, as derived from the parametric models, yield gains and losses that can be quite small and, in some cases, less variable than non-parametric methods. From Actuarial Research Clearing House 1998, Vol. 1.