Description: This discussion looks at the actuary shortage and solutions. From Transactions of Society of Actuaries 1959, Vol. 11, No. 29 AB.

Description: This paper presents the general notion of a periodogram, following Elphinstone's approach. The paper then goes on to examine symmetric linear operators and their periodograms in preparation for the end discussion of periodograms of graduators.

Description: Development of a formula for the continuous annuity ax:n| in terms of the Makeham parameters A, B, and c, and the force of interest. Followed by several discussion papers submitted

Description: This is a discussion of the title paper by Robert M. Duncan which outlines the use of a contributory money purchase plan with death benefits, and investments in equities, to fund pensions. The approach is critiqued.

Description: The insurance reserve for an individual contract can be pictured as a quantity which changes continuously from moment to moment in response to the forces of interest and mortality. A different mathematical model arises for each method of defining the death benefit, and in this paper a number of such mathematical models are analyzed. Followed by discussion papers submitted by several authors

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: 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: 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 an analysis of the basic actuarial theory for life insurance policies which have fixed premiums, the entire reserve held in a separate account, the assets of which would be invested primarily in common stocks, etc. From Transactions of Society of Actuaries 1969, Vol. 21 Pt. 1, No. 61

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.