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: 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 considers a typical retirement endowment plan where an endowment provides for a monthly payment at retirement and units of life insurance prior to retirement and which the amounts of insurance in later years are net level premium reserves. From Transactions of Society of Actuaries 1961, Vol. 13, No. 37.

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 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: 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 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: This paper examines some of the methods used to determine the value of the assets held by a pension fund and used in actuarial valuations to determine the required contributions for a pension plan. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 58.

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: This discussion on pension and retirement plans looks at assumptions made concerning investment yield rates, mortality, rates of disablement and disabled life mortality. Additional discussion focusing on looking at a trend away from individual policy pension plans toward Group Annuities. From Transactions of Society of Actuaries 1961, Vol. 13, Pt. 2.