Description: This paper shows that Balucci hypothesis imposed on a survivorship function over a closed interval is dual to the uniform distribution of deaths hypothesis imposed on the survivorship function over the same interval.

Description: It is assumed that the force of interest varies as an auto-regressive process of order 2, AR[2]. The moments of the accumulated value of 1 paid at the beginning of each period, for n periods, are developed using moment generating functions.

Description: This panel discussion session focused on the practical applications of risk theory.

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: 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 discussion examines the relationship of Operations Research to the actuarial profession, the extent traditional actuarial work can be regarded as Operations Research, types of life insurance company problems lending themselves to Operations Research study, and the relationship of electronic data processing field to Operations Research.

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

Description: This paper presents an analysis of mortality in a sample of 441adults aged 55 to 85 at baseline, who were observed for eight years. The study was initiated for the purpose of analyzing age-related changes in a variety of physical variables and their impact on functional independence. The modeling approach is discussed and the factors which were most significantly related to mortality.

Description: Eric Friedman’s comments on ‘The Case for Stochastic Present Values,” by Dimitry Mindlin

Description: This paper develops an option pricing model that takes cost of capital concepts as its foundation rather than dynamic replication. The resulting model, called the 'C' measure in this paper, is related to the family of Affine Jump Diffusion models that are well known in the finance literature, so it is fairly easy to understand and implement. We argue that this is a reasonable model to use for estimating equity implied volatilities that are beyond the five- to 10-year horizon that can typically be observed in today‘s capital markets. The paper concludes with a short discussion of how to grade from observable market data to the 'C' measure.