Pricing and Risk Management of Synthetic CDOs

1. Auflage. 2010
ISBN: 978-3-642-15608-3
Verlag: Springer

Buch, Englisch, Band 646, 268 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 880 g

Reihe: Lecture Notes in Economics and Mathematical Systems

This book considers the one-factor copula model for credit portfolios that are used for pricing synthetic CDO structures as well as for risk management and measurement applications involving the generation of scenarios for the complete universe of risk factors and the inclusion of CDO structures in a portfolio context. For this objective, it is especially important to have a computationally fast model that can also be used in a scenario simulation framework. The well known Gaussian copula model is extended in various ways in order to improve its drawbacks of correlation smile and time inconsistency. Also the application of the large homogeneous cell assumption, that allows to differentiate between rating classes, makes the model convenient and powerful for practical applications. The Crash-NIG extension introduces an important regime-switching feature allowing the possibility of a market crash that is characterized by a high-correlation regime.

Zielgruppe

Research

Autoren/Hrsg.

Schlösser, Anna

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Introduction.- Part I Fundamentals: Credit Derivatives and Markets.- Mathematical Preliminaries.- Part II Static Models: One Factor Gaussian Copula Model.- Normal Inverse Gaussian Factor Copula Model.- Part III: Term-Structure Models.- Large Homogeneous Cell Approximation for Factor Copula Models.- Regime-Switching Extension of the NIG Factor Copula Model.- Simulation Framework.- Conclusion.