Description: This paper investigates the use of models of dependent mortality for determining annuity values. We discuss a broad class of parametric models using a bivariate survivorship function called a copula. Using data from a large insurance company to illustrate our methods, we calculate maximum likelihood estimates to calibrate the rnodel.

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: Improve pharmacy cost forecasting by developing induced demand curves for pharmacy costs.

Description: This article delves into a new line of statistical thinking of the author, that may be useful for product development actuaries. The key concept is how product design can produce products that diversify quickly, meaning that the company can be confident of a profitable product line, based on fewer sales than might be true for other designs.