Description: This people provides a derivation of continuous and curtate inequalities of life contingent functions and shows how the proofs of the continuous inequalities are of an entirely different nature from the usual proofs for the curtate inequalities Followed by discussion papers submitted by several authors

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: 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: In an increasing population the number of persons falls off from age to age more rapidly than does the stationary population of the life table. This can introduce a systematic bias into life table calculations. The first part of the paper describes an iterative procedure to correct for the bias, extends the method to multiple decrement and associated single decrement life tables, and demonstrates the magnitude of the bias involved. The second part of the paper summarizes the results of applying iterative life table techniques to 165 populations which encompass over a century's experience and include countries from all parts of the world. Followed by discussions submitted by several people

Description: This paper presents mortality rates by sex at ages 90 and above for persons who received retired worker benefits from the social security program for the first month that such benefits were paid. Followed by a discussion paper

Description: The actuarial profession is faced with a problem of determining delta-ized reserves on a basis which will include appropriate provision for adverse deviations in mortality, lapses, interest rates, and expense rates. This paper describes briefly a method which could be used to solve this Followed by papers submitted by 2 authors problem in a flexible manner.

Description: This is a final report for a research project to create reference material that addresses the methods and techniques for quantifying margins for uncertainty in actuarial assumptions under a Principle-based statutory accounting framework.

Description: This paper develops a new method of determining long-range interest rate assumptions. Followed by discussion papers submitted by 2 authors

Description: In this paper a new method of adjusting probabilities of death for short age interval, based on the assumption of a modification in one of the forces of decrement, is developed.

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.