Description: This paper presents an analysis of the basic actuarial theory for life insurance policies which have fixed premiums, the entire reserve held in a separate account, the assets of which would be invested primarily in common stocks, etc. From Transactions of Society of Actuaries 1969, Vol. 21 Pt. 1, No. 61

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 examines the compatibility of the two models, in the hope that this exploration will prompt a greater cross-fertilization of ideas between the life actuarial branch which favors Bayesian models and the casualty branch which favors Hans Buhlmann models.

Description: This is a discussion of the paper, A Present Value Approach to Profit Margins and Dividends by Harwood Rosser. From Transactions of Society of Actuaries 1951, Vol. 3, No. 7.

Description: Excess ratio refers to the calculation of expected losses in excess of some stated limit. This paper suggests methods for calculating excess ratios in the practical situation without the laborious calculations which the techniques of Dr. Kahn's paper, 'An Introduction to Collective Risk Theory and Its Application to Stop Loss Reinsurance,' would seem to require, and as an alternative to the Monte Carlo simulation technique which would also seem to be impractical to use on a case by case basis in experience rating.

Description: This is a report that provides an analysis using data submitted by participating companies evaluating the impact of valuation mortality tables proposed for use in the life insurance industry. This study was designed to help “field test” the proposed tables on calculations for ordinary life insurance statutory reserves under VM-20 and tax reserves, nonforfeiture values, and IRC 7702/7702A.

Description: This paper analyzed the deficit risk that an insurer assumes when a group insurance contract is subject to a retrospective experience-rating arrangement. In this paper, a method for quantifying the deficit risk and determining explicitly an appropriate risk charge level is developed.

Description: This paper presents a new insight into the mathematical structure of asset share-type calculations. Asset shares are interpreted as accumulations of insurance cash flows, which along with their related investment income, are treated as Stieltjes integrals. From Transactions of Society of Actuaries 1978, Vol. 30.

Description: The objective of this paper is to analyze the nature of the probability density function of rates of return on common stocks, to develop a simulation model for evaluating the net risk premium for an asset value guarantee at the end of a specified investment period under an equity-based product and to analyze the sensitivity of the net risk premium to changes in several underlying parameters. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 61.

Description: The main aim of this paper is to apply some of the techniques of modern time series and econometric analysis to analyse investment data in order to better understand the nature of long run relationships in investment series typically used in stochastic investment models. The paper attempts to identify and address fundamental issues that need to be considered before developing a particular stochastic investment model.