Description: In physics and engineering education, Fermi problems require solutions based on good approximate calculations with little or no actual data, involving making justified guesses and deducing bounds without using sophisticated tools. The idea of Fermi problems are of particular relevance to today's actuaries, as pricing, reserving, and financial reporting involve more and more complex stochastic components. The paper discusses some approximate solutions developed in academia in the spirit of Fermi problems.

Description: Summary of the recommendations of the Society of Actuaries Mortality Study Working Group, whose purpose was to re-evaluate the scope and content of the Society’s mortality experience studies and to develop long term strategic direction.

Description: Chapter 1 presents the background to the current study, followed by the methodology used, and a summary of the findings of the study. From Group Medical Insurance Large Claims Database Collection and Analysis, M-HB97-1.

Description: This paper establishes a framework to analyze the volatility of corporate profits as a result of variability in accounting for pension plans. It models a Canadian corporation that maintains a defined-benefit pension plan and that has adequate cash flow to fully fund the pension plan, should it wish. Volatility of corporate profits is important because many senior executives have some component of their compensation directly related to corporate profitability and consequently do not want any surprises with respect to actual profits compared to expected profits. The volatility management techniques considered are investment policies for the pension plan, funding the pension plan, and an alternative plan design. The analysis is timely since changes are proposed to the accounting standards to eliminate most smoothing techniques. The results suggest that, depending on the investment environment, reduced volatility may be accompanied by by enhanced return, which is a result that few would expect.

Description: Using Healthcare Claims Data to Create Actuarial Models.

Description: The paper o ers a simple framework for ranking the common reinsurance struc- tures in practice with the theory of stochastic orders. The basic idea is to slice the space of reinsurance structures into groups by expected loss cost to facilitate the comparisons within the group and between groups. Given the standard risk aversion assumption in economics, a spectrum of reinsurance structures with the same expected loss cost can be compared analytically with one another and sequenced based on their risk coverages under the convex order. The paper then expands the dimension of the comparison to groups of reinsurance structures with di erent expected loss costs, which can be ranked under the increasing convex order and the usual stochastic order. As such, the paper maps out the ordering for the entire space of reinsurance structures and presents it in a ma- trix format for quick reference. The implication

Description: The purpose of this SOA-sponsored research was to assemble and analyze a limited large claims database which may serve as a model for expanded inter-company studies of health care benefits in the future. From Group Medical Insurance Large Claims Database Collection and Analysis, M-HB97-1.

Description: Pricing longevity swap reinsurance transactions consists of a number of different actuarial tasks, each of which hides potential pitfalls. The article outlines the pricing process, which includes a detailed analysis of current mortality experience of the portfolio to be transferred, choice and calibration of an appropriate model for mortality improvement trends and the calculation of a risk margin which reflects the uncertainty associated with the pricing best-estimate, which includes mis-estimation risk, model risk, longevity basis risk and stochastic uncertainty.