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: These are the abstract, outline, graphs and tables of the paper “Conclusions from Michigan Studies of Social Security Financing”. By such studies we mean the papers prepared during the past five years by actuarial students and Cecil Nesbitt, and which have appeared in ARCH. The paper is in three parts: A lengthy Abstract, followed by 17 pages of text, graphs, tables and references. The third part is a 10 page Appendix which gives the proofs of text statements.

Description: Discusses the direction for actuarial research in the areas of experience studies, theory, and practice.

Description: Discusses a method to construct an endowment plan which provides for a maturity value greater than face by treating the paid up amount as the sum insured whenever it exceeds face. The formulas for premiums, cash values and amount of insurance are provided.

Description: This is a discussion of the paper, Insufficient Premiums by Paul W. Nowlin. From Transactions of Society of Actuaries 1959, Vol. 11, No. 29 AB.

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: The aim of this paper is to examine relationships, analogous to that of premiums and reserves, for the case of a general insurance with benefits payable in respect to several forms of decrement. Specifically, this paper presents a system of splitting the total premiums and reserves into components related to the different benefits, with formulas distinguished between dependent and independent relationships between premium and reserve components. Discussions of this paper are included.

Description: This is a discussion about computer modeling as a management tool. From Transactions of Society of Actuaries 1969, Vol 21 Pt. 2, No. 59

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: Article from The Actuary October 1992 – Volume 26, No. 08 is a mathematical illustration about amortized life annuities.