Description: In this paper, the author studies the ‘applications of the integer functions, ceiling and floor, to life contingencies. Various actuarial formulas are derived by applying a theorem of the mean value type for integrals and uniform distribution of deaths assumptions.’ Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1982 Volume 34.

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 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: Article from The Actuary October 1992 – Volume 26, No. 08 is a mathematical illustration about amortized life annuities.

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: This paper focuses on the equity unit annuity popularly termed the variable annuity. Followed by several discussion papers submitted

Description: These are the abstract, outline, graphs and tables of the paper “Conclusions from Michigan Studies of Social Security Financing”. By such studies we mean the papers prepared during the past five years by actuarial students and Cecil Nesbitt, and which have appeared in ARCH. The paper is in three parts: A lengthy Abstract, followed by 17 pages of text, graphs, tables and references. The third part is a 10 page Appendix which gives the proofs of text statements.

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: Discussion of the process for determining the premium for a life insurance product which pays the cash value in addition to the face amount upon death. This type of policy fulfills the specifications of a split-dollar or minimum-deposit sales approach. Followed by several discussion papers submited.

Description: This is a discussion of the paper, 'Payment of Reserve in Addition to Face Amount' by Paul W. Nowlin and T. N. E. Greville, which discussed a method for determining the level premium for such coverage. This discussion applies risk theory to the insurance discussed in the paper.