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: In this paper the author shows that the aggregate claims distribution of a portfolio modeled by a mix of the individual and collective models can be obtained with a single recursion under some conditions. He discusses why the collective model is not necessarily an approximation of the individual model in the context of pension funds, for example. An application to a Swiss pension fund is presented. From Actuarial Research Clearing House 2003, Vol. 1.

Description: This paper improves Chapter 2 of 'Mathematics of Pension Funding' - Part 7 Study Notes. Key formulas are derived in a more general fashion than in the Study Notes.

Description: This paper presents a procedure that can be used to find an efficient frontier for the variability in the contribution rates for pension plans. From the Actuarial Research Clearing House, January 1996, VOL. 1.

Description: This study observes the effect of different factors on the average and standard deviation of both the cost ratio and funding level. From the Actuarial Research Clearing House, January 1996, VOL. 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 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.