Description: The two basic considerations in a pension plan valuation are the choice of actuarial cost methods and actuarial assumptions. This paper deals with the assumptions. The concern in this regard is what actuaries are doing and why. There are explicit criteria why particular assumptions are chosen, and these have often been discussed in the pension literature. However, there also are implicit criteria, which, while seldom discussed in the literature, can dominate the valuation. The goal of this paper is to quantify some of these criteria, and thereby provide a basis for further discussion and research.

Description: This paper presents a stochastic model in continuous time to characterize the ultimate benefit to be derived by a group of similar workers from their career membership in pension plans. This characterization is in terms of termination rates, vesting rules, plan types and periods of employment. The employment termination pattern is represented by a renewal process and a reward function is introduced to unify different plan types. A number of basic functions are then deduced to represent termination benefits, retirement benefits and the loss due to delayed vesting. An analysis of these functions lead to a number of conclusions regarding the comparative effects of delayed vesting in different plans. From Actuarial Research Clearing House 1981, Vol. 1.

Description: First demonstrates that the choice of mortality basis in the pre-retirement period is immaterial for a defined benefit plan, valued on the Aggregate method, with a pre-retirement death benefit equal to the present value of the accrued pension. Second, presents comparisons of contribution costs for Aggregate vs. Unit Credit funding methods.

Description: This paper develops a simplified model for a pension fund, both deterministic and stochastic versions are presented. The probability distribution of the fund is derived incorporating the claims distribution and other parameters. Expected value and the variance of the fund are derived. Modifications required for the model when the interest rate is a moving average process are developed. From Actuarial Research Clearing House 1998 Vol. 2.

Description: This article is about valuing employee pensions and how much of the pension a spouse would be entitled to with a focus on the current differences in Canadian provincial legislation. The strengths and weaknesses of different methods are outlined. From Actuarial Research Clearing House, 2000, Volume 1.

Description: This paper explores and develops some initial ideas of roll-forward reserve funding of Social Security. It reports on the work of actuarial students and teachers for an 8-week study period coordinated with the National Science Foundation program of Research Experience for Undergraduate grants. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This paper develops the theory for an exactly vested defined benefit model plan and is contrasted with the theory for a pure pension plan. From Actuarial Research Clearing House, 1978 , Volume 2.

Description: Concomitant with the industrial revolution, the function of providing old age income shifted from families and local institutions to government social security and private pension plans. The history of this change in the U.K. and U.S. is reviewed. A simple mathematical model provides insights into the role played by three rates [the rate of increase of the working population, the time preference rate, and the rate of real wage growth] in determining optimum funding policy. From Actuarial Research Clearing House 1994, Vol. 2.

Description: This paper reviews and compares the Canadian and U.S. Social Security systems as to their adequacy, actuarial equity and progressiveness. It concludes that the Canadian system[s] provide larger minimum benefits and, thus, greater adequacy than the U. S. On the other hand, the analysis indicates more emphasis on actuarial equity in the U.S. system [in total] than in Canada. Finally, both systems are shown to be highly progressive in that lower-wage earners get larger benefits per dollar of contribution than do higher wage earners. The paper concludes by noting that while the systems in these two countries have remarkably different actuarial formulae for determining benefits, and remarkably different structures, that the benefits that result from the two systems are surprisingly similar. From Actuarial Research Clearing House 1999, Vol. 1.

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.