Description: This paper shows how the results of copula based capital aggregation models can always be locally approximated by relatively simple formulas. The paper defines the concepts of diversification factor and tail correlation matrix and describes methods for estimating these quantities from simulated data. We show how these ideas can be put into practice as both computational shortcuts and presentation tools.

Description: This article discusses a good way for insurance companies to calibrate economic capital (tail risk level) that is consistent with the market opinion on its risk. It also establishes a bridge between a risk neutral evaluation and a real world evaluation.