The objective of this paper is to provide a complete framework to aggregate different quantile and expectile models for obtaining more diversified Value-at-Risk and Expected Shortfall measures, by applying the diversification principle to model risk. Following Taylor (2008) and Gouriéroux and...

This paper make an overview of the copula theory from a practical side. We consider different methods of copula estimation and different Goodness-of-Fit tests for model selection. In the GoF section we apply Kolmogorov-Smirnov and Cramer-von-Mises type tests and calculate power of these tests...

In a Constant Proportion Portfolio Insurance (CPPI) framework, a constant risk exposure is defined by the multiple of the strategy. This article proposes an alternative conditional multiple estimation model, which is based on an autoregressive quantile regression dynamic approach. We estimate...