Description: Under non-Aristotelian logic, there are multiple values, or shades of gray. Indeed, there may even be unexpected results from logical combinations, like “both” and “neither.” This article discusses how this insight should be applied to the current debate between formula-driven reserves with limited assumption flexibility and the reserve principles approach. For reserve standards, we do need both actuarial judgment grounded in reserving principles and restrictive formula methods or safe harbors.

Description: Given a financial transaction we are often interested in the number of internal rates of return [yield rates] and their location. From an actuarial point of view, the fundamental question is to identify those transactions with a single yield rate, or a single rate in some interval such as the positive reals. In this paper we are concerned with this counting problem. We survey various results concerning this problem, and provide a unifying approach together with some new insights.