In a 2-dimensional space, Fréchet–Hoeffding upper and lower bounds define comonotonicity and countermonotonicity, respectively. Similarly, in the multidimensional case, comonotonicity can be defined using the Fréchet–Hoeffding upper bound. However, since the multidimensional...

As a solution to the longevity risks in annuity business we consider securitizations which transfer the risks to the financial markets. We apply the classical Lee-Carter model to generate the future stochastic survival distribution. We show a method to design the survivor bonds using the...

We provide a set of copulas that can be interpreted as having the negative extreme dependence. This set of copulas is interesting because it coincides with countermonotonic copula for a bivariate case, and more importantly, is shown to be minimal in concordance ordering in the sense that no...