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: 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 deals with the selection of appropriate interest and inflation assumptions, which is one of the most important considerations in the valuation of a defined benefit pension plan. The paper begins by describing a simplified model in which the only important consideration is the selection of an appropriate differential between interest and inflation assumptions. The discussion then considers some situations that might lead the actuary to attempt to select a realistic level of interest and inflation assumptions, in addition to an appropriate differential. The author's conclusion is that in some situations the absolute level of the interest and inflation assumptions can be all but meaningless, and the differential between the two assumptions is the important factor. In other situations the use of this technique will produce serious inaccuracies in the valuation results. As always, the actuary must analyze each situation in order to determine which of the available techniques will produce the best results with the least effort, given the degree of accuracy required. From Transactions of Society of Actuaries 1976, Vol. 28.

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: 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: The purpose of this study is to provide quantitative information illustrating the impact of reflecting mortality improvement using a “Generational Approach” in the actuarial valuations of defined benefit pension plans versus reflecting mortality improvement by more traditional methods.

Description: Survey of Asset Valuation Methods for Defined Benefit Pension Plans. From The Pension Forum, August 2001, Volume 13, Issue No. 1

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 research report discusses the effect a variation in the interest rate assumption has on a defined benefit plan's costs. From Transactions of Society of Actuaries 1967, Vol. 19, No. 55.

Description: A mathematical model is described which facilitates the comparison of different pension funding methods. Rates of return are assumed firstly to be random and then to be represented by an autoregressive model for the corresponding force of interest. From Actuarial Research Clearing House 1990, Vol. 1.