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: This paper gives a mathematical proof of the frequently expressed concept that under the entry age normal method of valuing a retirement plan, the salary scale applies retroactively. That is, it demonstrates that the valuation of a plan assumes that all past contributions to the plan were based on salaries which, when projected by the salary scale, reproduce the present level of income. The concept of retroactivity is also applied to a situation where there is a constant offset such as the social security benefit. In addition, the paper discusses the effect on this liability resulting from an increase in salary in excess of the increase provided by the salary scale and the effect on the liability of certain types of salary-scale changes. From Transactions of Society of Actuaries 1973, Vol. 25, Pt. 1, No. 72AB.

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: The objective of this paper, prepared by the Society of Actuaries Committee on Pension Principles and Related Research, is to examine the advantages and disadvantages of using select and ultimate interest and salary scale assumptions in the valuation of defined benefit pension plans. The technical issues involved and the effect of such assumptions on the incidence of plan cost are also studied. From Transactions of Society of Actuaries 1985, Vol. 37.

Description: Financing a defined benefit pension plan can be accomplished in various ways. With the help of a one-life example, this paper gives an elementary actuarial perspective of the problems that arise when a new defined benefit pension plan is initiated, and of the various actuarial concepts and methods developed to ascertain the cost of these pension benefits. The paper shows the range of the cost alternatives conceptually available upon creation of the pension plan. Actuarial formulas are provided in footnotes. The paper is intended as an introduction to defined benefit pension cost determination as well as an elementary example which may be of value in explaining cost alternatives to an actuary's client. From Transactions of Society of Actuaries 1975, Vol. 27.

Description: A mathematical framework for benefits and choices must be created to model benefit selection. This paper creates such a framework by defining benefit plans as reimbursement functions. These are then used with a defined choice function to calculate the cost deviation due to selection. Finally, utility functions can be applied to this framework to predict choice.

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: These discussions at the 1967 New York and New Orleans Regional Meetings are about considerations in choosing interest assumptions and challenges presented when comparing investment yields among companies.

Description: This discussion at a 1967 Regional Meeting is about methods of allocating investment income using the investment year method, the treatment of unrealized capital gains, considerations in choosing interest assumptions, and challenges presented when comparing investment yields among companies.