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 primary objective of the paper was to develop a straightforward method for constructing an interpolation formula of finite range with desired properties stipulated in advance. This paper had in view mainly the application to polynomial interpolation as used in actuarial work. Followed by 2 discussion papers submitted

Description: This paper presents an introduction to collective risk theory. In collective risk theory one seeks to investigate directly the risk enterprise as a whole. Primary interest is focused not upon the gains, losses, or claims from individual policies but upon the amount of total claims or the total gain arising from all the policies in the portfolio considered. Followed by several discussion papers submitted.

Description: This paper describes risk-factor-dependent multiple decrements and actuarial cost functions as a general compartment model, a discrete time and discrete state stochastic model of morbidity and mortality processes. For large numbers of risk factors, the model is extended to its natural continuous time and state form. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This paper reviews the applications of operations research methods in the insurance industry. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: This paper explores the principles upon which experience-rated group insurance currently is based and discusses the question of whether or not these principles are sound. Followed by discussion papers submitted by several authors

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: The purpose of this paper is to describe the application of the Monte Carlo technique to a practical situation in a company, group term rate making. It included a discussion of some of the problems encountered and the solution to these problems. Followed by several discussion papers submitted

Description: The life annuity mortality risk is the variation in actual financial experience of a group of annuitants from that expected, attributable to the mortality experience of the group. This paper investigated the mortality risk present in a single life annuity and determine the effect of age, sex, assumed interest rate, mortality table, and form of annuity on this risk. Then, it investigated the mortality risk in various portfolios of annuities. Followed by several discussion papers submitted

Description: This paper presents a policy-year model for GAAP valuation of reinsurance accepted on the coinsurance and modified coinsurance bases. Also presented are the interrelationships between the model's methodology and statutory accounting procedures, a discussion of experience-refunding situations, and a demonstration of the model's ability to yield GAAP profits as a level percentage of premium. From Transactions of Society of Actuaries 1981, Vol. 33.