Description: A short note on derivatives of decreasing life annuities that was motivated by Exercise 5.35 on page 156 of 'Actuarial Mathematics'. Actuarial Research Clearing House 1993 VOL. 2

Description: This paper uses the power series expansions in relation to the annuity coefficients presented in the 1987 Actuarial Mathematics textbook. From the Actuarial Research Clearing House ARCH 1987 Vol. 1.

Description: This is a study note that supplements material contained in the book, 'Actuarial Mathematics,' 2nd edition, by N. L. Bowers, Jr., H.U. Gerber, J.C. Hickman, D.A. Jones and C.J. Nesbitt. The topics covered include integer functions, uniform distribution of deaths throughout each year of age, and annuity coefficients.

Description: This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The classical model is generalized by discounting with respect to the time of ruin. The authors show how to calculate an expected discounted penalty, which is due at ruin, and may depend on the deficit at ruin and the surplus immediately before ruin.

Description: This paper on the duality between uniform deaths and Balducci assumptions was motivated by earlier referenced works in which exposure formulas based upon the assumption of the uniform distribution of deaths were analysed. From ACTUARIAL RESEARCH CLEARING HOUSE, 1980 VOL. 2.

Description: In classical collective risk theory, the aggregate claims process is assumed to be compound Poisson. In this paper the authors examine a more general model for the aggregate claims process: processes with independent, stationary and non-negative increments. From Actuarial Research Clearing House 1991, VOL. 1.

Description: This research paper presents two series formulas for the probability of eventual ruin derived by the operational calculus method. From the Actuarial Research Clearing House ARCH 1989 Vol. 1.

Description: This is the abstract from a 1998 presentation at the 33rd Actuarial Research Conference regarding the revised syllabus for the Society of Actuaries education and examination program for 2000.

Description: Abstracts of various papers published in ARCH 1983 Vol. 1

Description: Equity-indexed annuities [EIAs] can be viewed as mutual funds wrapped around with various guarantees. A recent paper derived a closed form formula for pricing this dynamic guarantee if early withdrawal from the fund [before maturity] is not permitted. This paper studies the pricing of dynamic protection without a maturity date, i.e., the investor chooses the date to cash in the fund accumulation.