Description: This paper discusses the Bayesian graduation method of Kimeldorf and Jones and develops methods for managing four technical problems in their method. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1977, Vol. 29.

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: In this paper two theorems concerning the optimality of the perfect-fit and perfect-smoothness graduations are proved. Two examples are presented and some difficulties with regard to computational feasibility are reviewed. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: This is a discussion about the papers presented at the regional meetings. From Transactions of Society of Actuaries, 1965, Vol. 17 Pt. 1, No. 48

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 outlines and illustrates the use of present value for the purpose of estimating future profits and in obtaining dividend scales. From Transactions of Society of Actuaries 1951, Vol. 3, No. 6.

Description: An extension of a paper published in the 1952 Transactions by the same author, describing and classifying various funding methods for defined benefit pension plans. Followed by discussion papers submitted by several authors.

Description: This paper presents discrete interpolation formulas, specifically a new method of deriving some existing formulas. The paper uses graduation theory in the interpolation method. Also include is a discussion of the paper. From Transactions of Society of Actuaries 1949, Vol. 1, No. 1.

Description: Section 818c of the Life Insurance Company Income Tax Act of 1959 provides, for companies holding other than net level premium reserves, a choice of two methods: exact revaluation or approximate revaluation to this basis. This paper discusses the impact of the choice on the level of a company's tax reserves. A discussion paper follows.

Description: This paper presents ratemaking for nonparticipating life insurance including the relationship between gross premiums and profit margins, suitable assumptions, a technique for evaluating in force business and demonstrating results using the methods. The paper is followed by a discussion. From Transactions of Society of Actuaries 1959, Vol. 11, No. 30 AB.