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Hsing, T. and Klüppelberg, Claudia and Kuhn, Gabriel (2004): Modelling, Estimation and Visualization of Multivariate Dependence for Risk Management. Collaborative Research Center 386, Discussion Paper 375
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Abstract

Dependence modelling and estimation is a key issue in the assessment of portfolio risk. When measuring extreme risk in terms of the Value-at-Risk, the multivariate normal model with linear correlation as its natural dependence measure is by no means an ideal model. We suggest a large class of models and a new dependence function which allows us to capture the complete extreme dependence structure of a portfolio. We also present a simple nonparametric estimation procedure. To show our new method at work we apply it to a financial data set of zero coupon swap rates and estimate the extreme dependence in the data.