Description: In this paper an algorithm is derived for computing the distribution of aggregate claims for the individual risk theory model. From Transactions of Society of Actuaries 1983, Vol. 35.

Description: In an increasing population the number of persons falls off from age to age more rapidly than does the stationary population of the life table. This can introduce a systematic bias into life table calculations. The first part of the paper describes an iterative procedure to correct for the bias, extends the method to multiple decrement and associated single decrement life tables, and demonstrates the magnitude of the bias involved. The second part of the paper summarizes the results of applying iterative life table techniques to 165 populations which encompass over a century's experience and include countries from all parts of the world. Followed by discussions submitted by several people

Description: In this paper, a mathematical model is constructed to study the deviations of claims, investment performance, operating expenses, and lapse expenses as random stochastic processes. Discussions of the paper submitted by 2 readers follows

Description: In this paper a method is described for pricing - and reserving for- return of premium benefits under disability income policies. Followed by a discussion paper

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: The birthday rule is used to determine whether the father's or the mother's insurer is liable for a child's medical bills, where the liability rests with the insurer of the parent whose birthday falls in the first half of the year. It is assumed that the odds are even that the liable insurer will be the mother's, vs. the father's. This paper demonstrates how the key determinant of whether this assumption is valid is the distribution of the difference in spouses' ages.

Description: This paper presents a statistical and mathematical method to calculate Stop-Loss Premiums. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1976, Vol. 28.

Description: The objective of this paper from the Transactions of Society of Actuaries 1964, Vol. 16, Pt. 1, No. 44 AB, is to illustrate some of the alternative approaches to making approximate probability statements about the present value of life annuities assuming a specified distribution of the random variable, time until death, and a fixed interest rate.

Description: This paper derives a formula for approximating the ruin function of collective risk theory. Use of the ruin function to determine the amount of initial capital needed for a new line of business is discussed. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.

Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that in mortality studies the ‘natural’ unit for exposures and deaths is number of lives, but often more insight is gained by use of other weights, such as face amount. In this paper, the author develops a method which, ‘by a combination of exposed to risk formulas, provides a comparatively simple procedure to permit consideration of weights which vary during the observation period.’