Description: This paper examines the valuation of assets and poses the following questions: A. What bases, other than cost or market, are in use for valuing pension trust assets and acceptable under the Internal Revenue Code and Rulings? and B. How can a retirement plan having assets valued on a book or cost basis utilize existing unrealized appreciation for purposes of improving benefits or reducing current funding costs without changing to a market value basis? From Transactions of Society of Actuaries 1961, Vol. 13, Pt. 2.

Description: In the determination of pension costs the actuary normally has available for use several turnover scales which indicate rates of turnover by attained age. This paper attempts to outline broadly one method for classifying selected industries into three groups approximating low, medium, and high turnover levels, so that a more appropriate initial selection of turnover scales may be facilitated. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 58.

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: This paper investigates a fundamental approach to the development of the expected cost of vesting in pension plans. From Transactions of Society of Actuaries 1972, Vol. 24, Pt. 1, No. 70.

Description: This paper shows how gain and loss formulas for pension plans may be developed precisely from definitions of the unfunded accrued liability and the normal cost rate. From Transactions of Society of Actuaries 1977, Vol. 29.

Description: This paper examines tandem levels of salary and interest rates and finds that the absolute level of each assumption as well as the differential are significant cost determinants for defined benefit pension plans. In forming best-estimate salary and interest rate assumptions, the actuary must reconcile the difference, if any, between the currently observed rates and the valuation assumptions. Common practice is to choose expected long-term rather than observed rates for valuation purposes. The error in this procedure is analyzed and found to be tolerable for strictly temporary discrepancies between observed rates and valuation assumptions. For situations where these discrepancies are expected to persist for some time, a need is shown for nonuniform, calendar-year assumptions or their equivalent in order to develop best-estimate assumptions. Followed by several discussion papers submitted

Description: The purpose of this paper is to provide an introduction to mathematical principles applicable to pension funding under dynamic conditions of population growth, inflation, and automatic adjustment of benefits. From Transactions of Society of Actuaries 1976, Vol. 28.

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: 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.