Description: This paper addresses the allocation of solvency capital in multi- line financial businesses. Although this paper is uniformly applicable to financial enterprises of all types, the terminology in the paper is mainly that of insurance. The TailVaR risk measure is extended in a natural way to allocating capital to each of the business units. This method of allocation allocates capital in a way that is invariant over the method of decomposing the enterprise into business units. Analytic results are derived in the case of multivariate Normal risks. The key result of this paper is that the TailVaR-based proportional allocation of total required capital is identical to that based on mean-variance considerations analogous to the CAPM in the case of the multivariate Normaldistribution.

Description: This panel discussion session focused on the practical applications of risk theory.

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 is an attempt to examine transmission and incubation period models. Results are used to estimate the risk of HIV+ exposure of an individual company and the resulting reserve needs. From Transactions of Society of Actuaries 1989, Vol. 41.

Description: This paper presents a statistical and mathematical method to calculate Stop-Loss Premiums. It also includes a discussion of the paper. From Transactions of Society of Actuaries 1976, Vol. 28.

Description: Presented at October 1985 Annual Meeting. This session focused on three projects funded by the Actuarial Education and Research Fund: risk models, operations research applications for actuaries and probability modeling of losses.

Description: In this paper, the authors take an axiomatic approach to characterize insurance prices in a competitive market setting. Four axioms are presented to describe the behavior of market insurance prices. From these axioms it follows that the price of an insurance risk has a Choquet integral representation with respect to a distorted probability.

Description: Presented at June 1985 Spring Meeting. This session presented the methods by which the E&E system strives to meet the educational needs of Canadian students, and allowed discussion as to whether the effort is successful and sufficient.

Description: The purpose of this paper is to provide a survival analysis of persons in the various stages of HIV infection typically leading to AIDS and ultimately death. From Transactions of Society of Actuaries 1988, Vol. 40, Pt. 1.

Description: This paper investigates the accuracy of loss reserves by comparing some reserves with the actual results five years hence. The ultimate purpose was to provide an estimate of the amount of variability which cannot be explained by listed factors. The resulting amount of variability gives an indication of the amount required for a provision for adverse deviation. From Actuarial Research Clearing House 1991, VOL. 1