Description: By necessity, attributions of financial processes require approximations. Tools used for approximations include Aumann-Shapley, time step, step-through, average step-through, partial derivative, and average partial derivative. Significantly non-linear paths can cause problems during attribution. Time (theta) and market factors must be handled concurrently. Typically contractual factors can be handled separately. Average Step-Through, Aumann-Shapley and Aumann-Shapley-3 points perform the best given the same time period. Attribution should be done with fairly small time steps as opposed to using a lot of points in the Aumann-Shapley calculation, but using Aumann-Shapley-3 points as a last step has some advantages.

Description: New Zealand is about to launch its first variable annuity with guaranteed lifetime withdrawal benefits. The product design is mindful of the lessons from the financial crisis in the United States, Europe and Japan.

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.