Description: This dissertation is about methods for assessing mortality risk in regard to insurance and annuity transactions. Although the basic methods and formulas are general, most of the applications made here deal with life annuity transactions, with particular emphasis on pension situations.

Description: Research on the elementary models of the reserve fund for the old-age, survivors and disability insurance OASDI in the United States. From the Actuarial Research Clearing House 1991, Vol.1.

Description: This paper consists of two parts. The first concerns the financing of public systems, the second is a challenging introduction to variances encountered in life insurance and life annuity theory. The first part emerges from work by some actuarial students and faculty at the University of Michigan during the past five years. The second part was stimulated by some developments in the preparation of the second edition of Actuarial Mathematics.

Description: The paper is an individual risk theoretical examination of annuities for the aged. Through retirement systems, social security and insurance plans, annuities for the aged are a very significant matter and are worthy of inquiry. From the Actuarial Research Clearing House 1992 Vol. 2.

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 paper contains personal reflections by Cecil Nesbitt of his 60 years as an actuarial student, teacher, practitioner and researcher to highlight actuarial highlights in North America since 1900. This article is not intended to be a definitive history of actuarial science developments in North America since the beginning of the century. Instead, readers should turn first to 'Actuarial Mathematics' [Proc. Symp. Appl. Math. 35, 1986] and peruse it alongside this article to gain detailed, introductory overviews of the diverse actuarial models that will be mentioned in this paper. The non-exhaustive list of references at the end of this paper is selected to aid such review by pointing the way to other more complete lists in regard to various topics mentioned herein. From Actuarial Research Clearing House 1990, Vol.1.

Description: Response letter regarding a multiple decrement theorem. Document includes Mr. Nesbitt's thoughts on the formula.

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 is a report on research for undergraduate experience grants held for 8 weeks under the direction of Cecil Nesbitt. The topic of the research was Social Security Financing and Related Matters. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This is the fourth paper on n-year roll forward reserve financing of public benefit systems, especially Old-Age, Survivors and disability Insurance OASDI, prepared by University of Michigan faculty and students. As the papers have developed, some ideas have been simplified, while others have become more complex. It is concluded that the theoretical model requires further attention. This research can be extended to expand our knowledge of OASDI financing and the applicability of n-year roll forward reserve financing.