Description: The life annuity mortality risk is the variation in actual financial experience of a group of annuitants from that expected, attributable to the mortality experience of the group. This paper investigated the mortality risk present in a single life annuity and determine the effect of age, sex, assumed interest rate, mortality table, and form of annuity on this risk. Then, it investigated the mortality risk in various portfolios of annuities. Followed by several discussion papers submitted

Description: This paper presents formulas for the L-Function and shows this function has applications in computing survival rates free from the influence of a given cause of death.

Description: In this paper, the coefficients of the minimum-Rz moving-weighted-average formulas are derived using matrix algebra and the method of Lagrange multipliers. Reviewer's note: This mathematics can be useful in the graduation process of mortality and morbidity table construction

Description: In an increasing population the number of persons falls off from age to age more rapidly than does the stationary population of the life table. This can introduce a systematic bias into life table calculations. The first part of the paper describes an iterative procedure to correct for the bias, extends the method to multiple decrement and associated single decrement life tables, and demonstrates the magnitude of the bias involved. The second part of the paper summarizes the results of applying iterative life table techniques to 165 populations which encompass over a century's experience and include countries from all parts of the world. Followed by discussions submitted by several people

Description: The use of Gompertz's law to describe mortality between the ages of 30 and 90 is discussed in this paper. A further use of Gompertz's law, as a tool in comparing mortality tables, is presented for thirty-three modern tables. From Transactions of Society of Actuaries 1981, Vol. 33.

Description: This paper presents a statistical methodology based upon information theory, for adjusting mortality tables to obtain exactly some known individual characteristics, while obtaining a table that is as close as possible to a standard one. Followed by a discussion paper submitted

Description: The objective of this paper from the Transactions of Society of Actuaries 1964, Vol. 16, Pt. 1, No. 44 AB, is to illustrate some of the alternative approaches to making approximate probability statements about the present value of life annuities assuming a specified distribution of the random variable, time until death, and a fixed interest rate.

Description: This paper discusses the Whittaker-Henderson graduation method. From Transactions of Society of Actuaries 1984, Vol. 36.

Description: Evaluation of the excess mortality element of the Group Conversion charge. Followed by several discussion papers submitted

Description: This paper derives formulas for obtaining the ruin function and the distribution of total claims of collective risk theory. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 57.