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: In addition to death and maturity guarantees on the mutual funds they sell, some insurance companies make it possible for the investor to extend the guarantees for a fixed number of years. In this paper, we consider the case when that option is of the European type that is, the investor, at maturity, can either close out the contract or extend it for the stated, fixed term. When extended, the guarantee is on the value of the fund at the original maturity date. The fund is assumed to be fully invested in common stock.