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Copula Methods in Finance book cover

Copula Methods in Finance

Author(s): Umberto Cherubini (Author), Elisa Luciano (Author), Walter Vecchiato (Author)

Publisher: Wiley
Publication Date: July 12, 2004
Edition: 1st
Language: English
Print length: 312 pages
ISBN-10: 0470863447
ISBN-13: 9780470863442

Book Description

Copula Methods in Finance is the first book to address the mathematics of copula functions illustrated with finance applications. It explains copulas by means of applications to major topics in derivative pricing and credit risk analysis. Examples include pricing of the main exotic derivatives (barrier, basket, rainbow options) as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions.

Editorial Reviews

Review

“…This book is of great use for researchers as well as practitioners…” (Statistical Papers, July 2005)

From the Inside Flap

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 structured finance products (barrier, basket, rainbow options), as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions.

Copula Methods in Finance provides:

Rigorous treatment of the mathematics of copula functions, illustrated with financial applications
Complete analysis of estimation and simulation issues applied to market data
Credit-linked structured products applications: CDO and basket credit derivatives
Equity-linked structured product applications: barrier, rainbow and basket derivatives
Counterparty risk in derivative transactions: vulnerable option pricing

From the Back Cover

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 structured finance products (barrier, basket, rainbow options), as well as risk management issues. Particular focus is given to the pricing of asset-backed securities and basket credit derivative products and the evaluation of counterparty risk in derivative transactions.

Copula Methods in Finance provides:

Rigorous treatment of the mathematics of copula functions, illustrated with financial applications
Complete analysis of estimation and simulation issues applied to market data
Credit-linked structured products applications: CDO and basket credit derivatives
Equity-linked structured product applications: barrier, rainbow and basket derivatives
Counterparty risk in derivative transactions: vulnerable option pricing

About the Author

UMBERTO CHERUBINI is Associate Professor of Mathematical Finance at the University of Bologna, and partner in Polyhedron Computational Finance, Florence, Italy. He is fellow of FERC, Cass Business School, London and Ente Einaudi, Bank of Italy, Rome. He has also taught graduate finance courses at Catholic University in Milan, Hitotsubashi University in Tokyo, and is supervisor of the Market Risk Area at the risk management education program of the Italian Banking Association (ABI). He is a member of the independent screening committee of TLX, the new Italian structured products market. Before joining the academia, he was with the Economic Research Department of Banca Commerciale Italiana, where he was Head of the Risk Management Unit.

ELISA LUCIANO, Ph.D., is Full Professor of Mathematical Finance at the University of Turin (Italy), Fellow of ICER, Turin, and Associate Fellow of FERC, Cass Business School, London. She also teaches at the École Nationale Supérieure de Cachan, Paris, and at the École Supérieure en Sciences Informatiques, Université de Nice-Sophia Antipolis, France. Her main research interest is Quantitative Finance, with special emphasis on portfolio selection and risk measurement. She has published extensively in Academic journals, including the Journal of Finance and Applied Mathematical Finance.

WALTER VECCHIATO is Head of Risk Management and Research at Veneto Banca in Montebelluna Treviso, Italy. Previously he was Head of Credit Derivatives Analysis at Banca Intesa in Milan, Italy. He was also Professor of Applied Statistics in University of Pavia, Italy and he was Visiting Researcher in Financial Econometrics at University of California at San Diego, La Jolla. He enhanced his research with the presence of Nobel Economic Sciences 2003 award winner Professor Robert F. Engle. He has written and published on quantitative finance and risk management techniques. He is a referee for many academic and practitioner journals and a frequent speaker for many symposiums on Finance worldwide.

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