Description: This paper considers the distribution of aggregate claims of an insurer. The general form of the distribution is considered initially, and, after a few mild restrictions are imposed, it is characterized as being a compound distribution. Followed by one submitted discussion paper.

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: Discussion of how to obtain tight upper and lower bounds on E[hX] for a given function h, and a random variable X with three known moments.

Description: A new approach to computing annual pension costs, based on an open-group projection of the participant population for a number of years, was described in detail in a paper published in the 1975 Transactions, entitled 'The Forecast Valuation Method for Pension Plans.' That paper described the operation of such a cost method at the initial valuation date. This paper discusses several alternative approaches to projection valuation methods and also describes how costs should be computed at valuation dates after the first one. In addition, the author illustrates projected contributions and asset buildups under both traditional [closed-group] cost methods and projected [open-group] cost methods, for a number of years under a variety of assumptions as to the growth rate of the participant group. Projection valuation methods have not been described heretofore in sufficient detail to make it possible for actuaries to use them on a recurring basis or for the Internal Revenue Service to make a determination as to the acceptability of such approaches for computing tax-deductible pension plan contributions. It is the hope of the author that this paper will fill both of those gaps. From Transactions of Society of Actuaries 1977, Vol. 29.

Description: A presentation of a mathematics/statistics based approach for determining credibility factors for possible use in group health insurance premium rate setting and experience refund setting. Includes supporting mathematical proofs of approach. Followed by discussions submitted by several people

Description: This paper was prepared in order to set down some of the approaches which might be followed in carrying out the mandate to apply GAAP to stock life insurance companies. Followed by discussion papers submitted by 2 authors

Description: This paper demonstrates some of the basic principles and concepts inherent in the use of natural reserves to adjust earnings and to demonstrate differences in earning patterns obtained by several alternative approaches to a pure natural reserve adjustment of earnings.

Description: Discusses how a small health insurance company may be able to create and successfully maintain its wealth through careful actuarial model considerations used in calculating reserves. A traditional and a conservative approach to calculating the reserves are compared. The conservative approach was found particularly useful when estimating reserves for an individual health insurance company with numerous product lines each relatively small in volume.

Description: This is a discussion about computer models and simulation tools for life insurance companies. From Transactions of Society of Actuaries 1969, Vol. 21, No. 59AB

Description: Discusses methods developed facilitating the calculation of deficiency reserves arising because of graded premiums or policy fees, The extent dividends and premium rates are determined by a company's own mortality or morbidity experience, problems posed for smaller companies by recent increases in nonmedical limits, and if High School Mathematics Contests have helped smaller companies obtain actuarial personel.