Copula Methods in Finance

The evaluation and risk measurement of portfolios of complex non–linear positions and non–normal risk factors has become a major nightmare for people working in the structured finance business. Dealing with "fat tails" and "smile effects", as well as the typical asymmetric shape of default risk has rapidly made obsolete the traditional linear correlation tools. In this new environment, the copula functions methodology has become the most significant new technique to handle the co–movement between markets and risk factors in a flexible way. This is the first book addressing copula functions from the viewpoint of mathematical finance applications. The method is to explain copulas by means of applications to major topics in derivative pricing and credit risk analysis, with the target to make the reader able to device her own application, following the strategies illustrated throughout the book. Examples include pricing of the main exotic derivatives typically included in commonly traded...