Description: This paper is a sequel to Shapiro et. al. in that it discusses a similar role for CAI in topics specific to the text Actuarial Mathematics, by Bowers et. al 1986. The topics covered are the previous topics of actuarial notation, basic concepts, and what-if analysis, along with some new ideas for the presentation of stochastic models.

Description: Shapiro 1990 documented some of the criteria used by actuaries when selecting the assumptions for actuarial valuations. He noted, however, that many of these criteria are often were in conflict with one another. This paper uses expected utility theory to model this process of choosing actuarial assumption when faced with potentially conflicting criteria. The three criteria considered are prudence, best estimate and conservativeness.

Description: The study of Employee Benefits has always been aided by using financial algorithms. During recent semesters, the Lotus 1-2-3 package Lotus has been introduced to students due to the explosion of its use in the business community. This paper will show how our students use Lotus to design a spreadsheet for computing minimum annual distributions from tax-sheltered plans.

Description: Actuarial literature in the twenty-five years includes discussions of a well known inequality. Among the recent papers on various aspects of this classic result are those by Berin 1970, Olson 1975 and Sarason 1960. A standard method for achieving this inequality uses Jensen's inequality. This is the method used by Bowers, et al 1983. We will also employ this method in an attempt to learn about it.

Description: This paper presents a generalization of the principal current methods of financial decision making. In the way physical sciences benefit from new general theories that encompass those theories they succeed, the science of finance can benefit from the development of a general framework that encompasses many of the current methods of financial analysis. The paper develops a general framework for financial decision-making from a few simple axioms of rational economic behavior.

Description: The purpose of this paper is to discuss computer application, the management of an insurance enterprise in an automobile insurance marketplace wherein a number of insurers compete for marketshare and profit. The paper begins with a description of the computer program next, a cursory description of the model is given then, the assumptions of the model are discussed next, potential future modifications are discussed and, finally, a prognosis is given.

Description: In this note, we rearrange the statement and the proof of a theorem in Greville. The presentation appears to be more compact the materials, however, are not new.].

Description: American actuaries are increasingly involved in risk management. This paper presents an Overview of the role of the American actuary in risk management today, a book review of a remarkable new work by a philosopher of science, and a challenge to the reader.

Description: Non-consequentiality is quite consequential for the claims made for the applicability of Risk Theory RT to decision problems that are not transparently tactical or wholly instrumental. On the negative side, RT is not normative or even a complete heuristic in such contexts. The author takes strong exception to the common tendencies, A to link risk theory with welfarism and versions of utilitarianism, and B to claim that with or without but especially with such linkage RT is normative in both moral and rational analysis, choice and action.

Description: During the last decade, a vast activity had been observed in generalizing of the classical discrete distributions. The main idea was to apply the extended versions fur modeling different kinds of dependent count or frequency data structure in various fields. In the present paper we suggest extensions of the classical univariate geometric, negative binomial, Poisson, Bernoulli, binomial and logarithmic series distributions, by including an additional parameter. It has a natural interpretation in terms of zero-inflation, and because of this we named the corresponding generalized versions adding inflated-parameter.