Description: The Karup-King formula with equal intervals has an elegant symmetric structure providing for efficient calculation. This paper traces the algebra involved in a generalization of this formula to the case of unequal intervals. So far, this formula does not have an elegant structure. However, a degree of elegance can be obtained in terms of matrix notation which can readily be used with a computer language such as APL.

Description: In this paper, a general model for a pension plan involving growth with respect to the population, salaries, and retirement benefits is used to study contribution patterns that may arise under different actuarial cost methods. Detailed results are presented for the case where the growth of population and the growth of salaries are described by exponential functions. Economic implications are presented and discussed. From Transactions of Society of Actuaries 1979, Vol. 31.

Description: Article from Risk Management Newsletter, March 2006, No. 7 on Standard & Poor's Enterprise Risk Management evaluation of insurers. In October 2005, Standard & Poor’s Ratings Services announced a new addition to the analysis process that leads to the ratings of insurers: Enterprise Risk Management ERM evaluation criteria.

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 describes a method of comparing net costs of dissimilar life insurance contracts. The principles are consistent with those of the interest-adjusted method recommended by the Moorhead committee. The significance of the results, possible applications of the method, and some concerns and conclusions are discussed.

Description: This paper illustrates a procedure for analyzing the sources of profit under FAS 97 and suggests an analytical procedure for reflecting actual experience and revised future assumptions in the recalculation of the estimated gross profit defined by FAS 97.

Description: This paper describes the actuarial valuation method for pension plans, the formulas and assumptions used, and the way these assumptions might be chosen. A case study is presented. Followed by several discussion papers submitted

Description: The actuarial profession is faced with a problem of determining delta-ized reserves on a basis which will include appropriate provision for adverse deviations in mortality, lapses, interest rates, and expense rates. This paper describes briefly a method which could be used to solve this Followed by papers submitted by 2 authors problem in a flexible manner.

Description: Small pension plans, are using Cost of Living Allowances 'COLA' in calculating benefits. This paper examines ways to handle COLA in valuations.

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.