Modeling of extreme events and stress testing analysis

In this book we estimated value at risk and return level using extreme value theory as an alternative mechanism to generate stress scenarios. The methodology is applied to S&P 500 Index and to dollar / euro exchange rate. Additionally the estimation of a generalized extreme value distribution or a generalized pareto distribution combined with the mixing unconditional disturbances model is developed as a tool that can be used to create values for sensitivity test purpose.