Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that recent advances in calculating equipment make possible producing graduations much more elaborate than any done previously. The paper confines itself to the problem of graduating a single column of rates, such as an ultimate column, using a Whittaker-Henderson B graduation of the fourth order. The author provides a detailed description of the process with significant mathematical theory.

Description: This paper is from the Transactions of Society of Actuaries 1956 Volume 8, Number 20. It was presented at the 1956 Spring Meetings of the Society of Actuaries for discussion. The author presents an outline of how difficulties in the determination of a frequency distribution of the expected costs may be overcome by, in part, applying the concept of using a series of random numbers with a view of making mortality studies for each life in a group of annuitants. The paper also presents the results of some experiments which were designed to discover whether or not the concept could be conducted on an IBM 650 electronic data processing machine.

Description: The purpose of this paper is to set forth a mathematical technique which in the author's experience has proved useful in testing the tax implications of various management actions.