Description: This is a concluding and encompassing part of our research on the project entitled \Weighted Premium Calculation Principles and Risk Capital Allocations, which has been supported by the Actuarial Education and Research Fund AERF and the Society of Actuaries Committee on Knowledge Extension Research CKER. We explore the concept of weighted distributions and their role in various phenomena occurring in insurance and finance. In particular, we relate weighted distributions to actuarial and economic premium calculation principles, and also to the capital asset pricing model CAPM. Imitating the latter, we propose a weighted insurance pricing model WIPM. Although general in formulation, we show that the WIPM can successfully be evaluated in a variety of situations, which we illustrate with a number of examples.

Description: Users of statistical packages should be more aware of the influence that outlying data points can have on their statistical analyses. Robust procedures provide formal methods to spot these outliers and reduce their influence. While a few robust procedures are mentioned in this article, one is emphasized and it is motivated by maximum likelihood estimation to make it seem more natural. In this article, the author will try to provide some background, beginning with maximum likelihood estimation of one parameter, that will hopefully make robust estimation seem natural and rather easy.

Description: This paper explores the range of contribution policies allowable under various sets of rules, and then proposes that plan sponsors be allowed to contribute the normal cost as a deductible contribution each year. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: This session is about the Report on Actuarial Principles and Practical Problems with Regard to Nonforfeiture Requirements but it also includes a summary of written responses to the Report, developments on the regulatory scene, and recent work of other committees studying nonforfeiture or related areas. From the 1976 Record, Vol. 2, No. 3.

Description: This teaching session was presented as Session 6B at the 1987 Valuation Actuary Symposium. The subject was modeling techniques for use in testing the scenarios being developed by the Canadian Institute of Actuaries, ‘CIA,’ Solvency Standards Committee. The presenters, members of the Committee, have been working on developing a generic modeling approach. Their presentation is limited to the first of three phases of proposed CIA standards for solvency reporting dealing with scenario testing, namely the projection of surplus under various prescribed and selected scenarios.

Description: Panelists discuss trends for the group short-term disability STD industry, as well as issues of timely relevance to group STD actuaries. From the Record of the Society of Actuaries, Vol. 24, No. 2.

Description: This paper takes the position that it is possible to compute annual pension costs without computing liabilities first, or at all, even implicitly. Moreover, such an approach can be shown to have powerful advantages in stochastic financial environments. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

Description: In this paper, we introduce a family of leptokurtic symmetric distributions represented by the difference of two gamma variates. Properties of this family are discussed. The Laplace, sums of Laplace and normal distributions all arise as special cases of this family. We propose a two-step method for fitting data to this family. We develop a statistical test for goodness-of-fit and introduce a test of normality of the data. A simulation study is provided to illustrate the theory.

Description: This session is about financial rating systems: The processes, performance, improvement, and the role and impact of risk-based capital requirements.

Description: This paper will consider aspects of inflation as it affects the operations of the life insurance industry and the policyholder, and will review some of the approaches used, primarily by European companies, to meet the situation. Discussions of this paper are included.