Description: In the copula literature there are many bivariate distribution families but very few higher dimensional ones. Moreover, most of these are difficult to work with. Some of the bivariate families can be extended to more dimensions but in general the construction of distribution functions with more than two variables is a difficult problem. This paper introduces a construction method that is straightforward to implement and can produce multivariate distribution functions of any dimension.

Description: In this paper, we derive three important longevity Greeks on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility.

Description: In it’s insurance capital model, Standard & Poor’s Ratings Services has established criteria to adopt the NAIC’s stochastic approach to variable annuity risk. This approach, which replaces existing static charges, better reflects the products’ risk.

Description: Feature article discussing the use of stochastic volatility models in the pricing of investments and options.