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 considers policies with annual premiums and discusses four types of life insurance reserves calculations: curtate, fully continuous, discounted continuous, and semicontinuous. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: Traditional discounting is hazardous to corporate health unless, as this paper demonstrates, it is turned on its head and insurance managers adopt the methods of prudent bankers. From Transactions of Society of Actuaries 1987, Vol. 39.

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 this paper, the calculation of life insurance functions taking an HIV+ life into consideration is examined. From Transactions of Society of Actuaries 1989, Vol. 41.

Description: This paper addresses the extension of the theory of life contingencies to a stochastic interest environment and its application to solvency valuation and surplus. A discussion of the paper follows. From Transactions of Society of Actuaries 1990, Vol. 42.

Description: Presents some elementary and down-to-earth calculations for the optimal dividend strategy that maximizes the expectation of the discounted dividends until the possible ruin of a company.