Description: The purpose of this paper is to illustrate the use of a new approximation to determine contingency reserves against adverse mortality experience for a portfolio of life annuity contracts.

Description: The method in this paper is to derive expressions for mortality between integral values of age underlying the typical approximations employed, and to compare such expressions. Annuity and life reserve formulas are compared. Discussions of the paper are included.

Description: This is a discussion of the paper, Frequency Distribution of Mortality Costs by John M. Boermeester, which used a series of random numbers to estimate variables under study.

Description: The purpose of this paper is to introduce a practical method for interpolation and smoothing and give a number of numerical examples using the method. The method is a variation of the Whittaker-Henderson method. Discussions of this paper are included.

Description: This note describes a mortality investigation procedure in which the expected mortality applicable to each new policy for a period of about three years after issue is estimated by use of persistency factors. Discussions of this paper are included.

Description: In this paper, methods are presented that allow the systematic graduation of multidimensional data subject to linear constraints. With these constraints the practitioner can impose limitations on the graduation that agree with prior knowledge. Discussions of this paper are included.

Description: This paper presents the general notion of a periodogram, following Elphinstone's approach. The paper then goes on to examine symmetric linear operators and their periodograms in preparation for the end discussion of periodograms of graduators.

Description: This paper will investigate the problem in estimating mortality rates using data obtained from insurance company records.

Description: This paper presents a few formulaic examples displaying the advantages of geometric methods over arithmetic methods and provides some theorems proving the increased accuracy geometric methods can provide for interpolation or extrapolation

Description: This paper presents simple Bayesian graduation models that substantially ease the prior elicitation burden, and also describes a Monte Carlo integration approach that greatly reduces the computational load.