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 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: These notes are a follow-up to the paper 'Introduction to the Dynamics of Pension Funding' by the same authors and published in Transactions of Society of Actuaries 1976, Vol. 28. The purpose of that paper was to provide an introduction to mathematical principles applicable to pension funding under dynamic conditions of population growth, inflation, and automatic adjustment of benefits. The first note discusses a general contribution formula and a number of special cases and modifications. The second note concerns aggregate cost funding when the actuary uses assumptions about cost factors which differ consistently from cost experience. The final note concerns the variation of the annuity unit under a variable annuity program patterned after the plan employed by the College Retirement Equities Fund [CREF]. From Actuarial Research Clearing House 1981, Vol. 1.

Description: This dissertation is about methods for assessing mortality risk in regard to insurance and annuity transactions. Although the basic methods and formulas are general, most of the applications made here deal with life annuity transactions, with particular emphasis on pension situations.

Description: This paper contains personal reflections by Cecil Nesbitt of his 60 years as an actuarial student, teacher, practitioner and researcher to highlight actuarial highlights in North America since 1900. This article is not intended to be a definitive history of actuarial science developments in North America since the beginning of the century. Instead, readers should turn first to 'Actuarial Mathematics' [Proc. Symp. Appl. Math. 35, 1986] and peruse it alongside this article to gain detailed, introductory overviews of the diverse actuarial models that will be mentioned in this paper. The non-exhaustive list of references at the end of this paper is selected to aid such review by pointing the way to other more complete lists in regard to various topics mentioned herein. From Actuarial Research Clearing House 1990, Vol.1.

Description: This paper introduces continuing care retirement communities and outlines the major recent developments in financing procedures and regulatory requirements aimed at keeping these entities solvent. In particular, it describes the Actuarially Based Financial Management System created by the AAA and the accounting Statement of Position 90-8 promulgated by the AICPA. From Transactions of Society of Actuaries 1995 Vol. 47

Description: In an increasing population the number of persons falls off from age to age more rapidly than does the stationary population of the life table. This can introduce a systematic bias into life table calculations. The first part of the paper describes an iterative procedure to correct for the bias, extends the method to multiple decrement and associated single decrement life tables, and demonstrates the magnitude of the bias involved. The second part of the paper summarizes the results of applying iterative life table techniques to 165 populations which encompass over a century's experience and include countries from all parts of the world. Followed by discussions submitted by several people