Description: This is a discussion of the paper, Actuarial Note: Reserves by Different Mortality Tables by Harry Gershenson. From Transactions of Society of Actuaries 1951, Vol. 3, No. 7.

Description: These notes are a follow-up to the paper 'Introduction to the Dynamics of Pension Funding' by the same authors and published in Transactions of Society of Actuaries 1976, Vol. 28. The purpose of that paper was to provide an introduction to mathematical principles applicable to pension funding under dynamic conditions of population growth, inflation, and automatic adjustment of benefits. The first note discusses a general contribution formula and a number of special cases and modifications. The second note concerns aggregate cost funding when the actuary uses assumptions about cost factors which differ consistently from cost experience. The final note concerns the variation of the annuity unit under a variable annuity program patterned after the plan employed by the College Retirement Equities Fund [CREF]. From Actuarial Research Clearing House 1981, Vol. 1.

Description: This is a discussion of the paper, Actuarial Note: The Equation of Equilibrium by Donald C. Baillie. From Transactions of Society of Actuaries 1951, Vol. 3, No. 7.

Description: This is the discussion of the paper by J. Alan Lauer that develops the apportionate basis for the immediate payment of claims as an alternative to continuous functions. A new function, the apportionable annuity due, is defined and derived and formulas for net premiums and terminal reserves on the apportionable basis are developed. Then an investigation is made of the relationship of net premiums and terminal reserves on the apportionable basis to the corresponding functions on the continuous functions basis.

Description: This paper offers a mathematical discussion of integrating private pension plans with social security and looks at IRS rules, earnings replacement by social security, integrating defined benefit and defined contribution plans, early retirement, target plans, discrimination test and other issues. From Transactions of Society of Actuaries 1976, Vol. 28.

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: The aim of this paper is to examine relationships, analogous to that of premiums and reserves, for the case of a general insurance with benefits payable in respect to several forms of decrement. Specifically, this paper presents a system of splitting the total premiums and reserves into components related to the different benefits, with formulas distinguished between dependent and independent relationships between premium and reserve components. Discussions of this paper are included.

Description: The purpose of this note is to demonstrate a general method for the solution of average age at death problems. From Transactions of Society of Actuaries 1950, Vol. 2, No. 2.

Description: These are discussions of the following research papers: 1. 'Actuarial Functions as Expected Values' by John A. Fibiger and Stephen G. Kellison, and 2. 'A New Look at Gain and Loss Analysis' by Arthur W. Anderson. From Transactions of Society of Actuaries 1971, Vol. 23, Pt. 1, No. 66 AB.

Description: This is a discussion about the papers presented at the regional meetings. From Transactions of Society of Actuaries, 1965, Vol. 17 Pt. 1, No. 48