Description: This paper develops explicit relationships connecting these reserve bases, and, in the course of this development, derives several new and interesting actuarial relationships, all of which can be generalized to the case of monthly premium payment computations. Followed by a discussion paper submitted

Description: This people provides a derivation of continuous and curtate inequalities of life contingent functions and shows how the proofs of the continuous inequalities are of an entirely different nature from the usual proofs for the curtate inequalities Followed by discussion papers submitted by several authors

Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that recent advances in calculating equipment make possible producing graduations much more elaborate than any done previously. The paper confines itself to the problem of graduating a single column of rates, such as an ultimate column, using a Whittaker-Henderson B graduation of the fourth order. The author provides a detailed description of the process with significant mathematical theory.

Description: This paper derives a formula for approximating the ruin function of collective risk theory. Use of the ruin function to determine the amount of initial capital needed for a new line of business is discussed. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.

Description: The goal of this paper is to develop best possible estimates for the higher moments of a distribution of a positive bounded random variable, such as claim amounts, where these estimates are given in terms of the mean.

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 paper derives formulas for obtaining the ruin function and the distribution of total claims of collective risk theory. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 57.

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.

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: In this paper a method is described for pricing - and reserving for- return of premium benefits under disability income policies. Followed by a discussion paper