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: The purpose of this paper is to set forth a mathematical technique which in the author's experience has proved useful in testing the tax implications of various management actions.

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

Description: The analysis presented is based on several standard but nonelementary theorems of mathematical statistics.

Description: This paper presents formulas for the L-Function and shows this function has applications in computing survival rates free from the influence of a given cause of death.

Description: This paper presents a model of the progression of the Acquired Immunodeficiency Syndrome [AIDS] epidemic in the United States. From Transactions of Society of Actuaries 1989, Vol. 41.

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: Gross premium calculation methods may be arbitrarily separated into: a- Type 1 methods those which initially have commissions and other per cent of premium expenses in the denominator and b- Type 2 methods those which initially have commissions and other per cent of premium expenses in the numerator. The traditional Type 1 methods directly calculate the gross premium. The purpose of this paper is: 1. to present a Type 1 method of gross premium calculation which does the following: a Incorporates the cost of reinsurance into the gross premium calculation and may be shown as a level annual cost over the gross premium calculation period. b Calculates the effect on profit margins of a change in the retention limit without redoing the original calculation. c Calculates the premiums needed to break even e.g., amortize the initial investment in surplus at the end of each policy year as a by-product. d Calculates the profit or loss generated in each policy year or over any number of policy years for any gross premium without redoing the original calculation or first using a trial gross premium. e Directly solves for the gross premium that will produce any specified profit over any number of policy years without redoing the original calculation or first using a trial gross premium. f Directly solves for the premium that will produce a specified yield on surplus invested in new business by a flexible technique not first involving the use of the renewal net premium or any other preliminary gross premium. 2. to provide a mathematical definition of a financially meaningful average policy size which recognizes the cost of reinsurance. 3. to provide for mathematical definitions of common measures of profit, and the mathematical relationships between them. 4. To establish formulas expressing the effect of changes in various assumptions used in the gross premium calculation as a lev

Description: This paper explains a method of computation for the probability of survival which may often be more expeditious than the methods in common use, particularly when the number of lives is large. From Transactions of Society of Actuaries 1959, Vol. 11, No. 29 AB.

Description: This paper identifies several implicit assumptions underlying the use of the lognormal distribution for modeling the periodic change in the interest rate of a given maturity, tests those assumptions against historical interest rates, and presents additional information from those tests. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.