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: Development of a formula for the continuous annuity ax:n| in terms of the Makeham parameters A, B, and c, and the force of interest. Followed by several discussion papers submitted

Description: Because mortality tables are generally tabulated at yearly intervals actuaries frequently must make assumptions about intermediate values in developing formulas for insurance and annuity functions. This paper examines the effect on insurance and annuity formulas of assuming Mx+t to be linear within each interval.

Description: This paper describes how Markov chain Monte Carlo and related methods recently presented in the statistical literature can be used to quickly and efficiently simulate random draws from distributions with log-concave or nearly log-concave densities. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: The paper discusses the optimal design of dividend - or premium refund - formulas that occur in connection with group insurance contracts. Sample formulas are provided and analyzed from a statistical analysis perspective . Followed by 2 discussion papers submitted

Description: This is the discussion of the paper by J. Alan Lauer that develops the apportionate basis for the immediate payment of claims as an alternative to continuous functions. A new function, the apportionable annuity due, is defined and derived and formulas for net premiums and terminal reserves on the apportionable basis are developed. Then an investigation is made of the relationship of net premiums and terminal reserves on the apportionable basis to the corresponding functions on the continuous functions basis.

Description: The insurance reserve for an individual contract can be pictured as a quantity which changes continuously from moment to moment in response to the forces of interest and mortality. A different mathematical model arises for each method of defining the death benefit, and in this paper a number of such mathematical models are analyzed. Followed by discussion papers submitted by several authors

Description: This is a simplified approach to calculating the variance of the whole life random variable in certain, very common circumstances.

Description: This paper analyzed the deficit risk that an insurer assumes when a group insurance contract is subject to a retrospective experience-rating arrangement. In this paper, a method for quantifying the deficit risk and determining explicitly an appropriate risk charge level is developed.

Description: This paper by John Mereu describes a method for mathematically computing the expected loss under a group life contract in excess of a stated limit. The paper also shows how to compute the variance and standard deviation of the stop-loss claim and suggests how the method can be extended to group insurance benefits where the claim amount per certificate is not fixed. Paper is followed by discussions from several people