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Paris-Princeton Lectures on Mathematical Finance 2004
Paris-Princeton Lectures on Mathematical Finance 2004 Finance 2004

by Rene A. Carmona, Ivar Ekeland, Arturo Kohatsu-Higa, Jean-Michel Lasry, Pierre-Louis Lions, Huyen Pham, Erik Taflin, Springer, (
October 1, 2007), Paperback, 248 pages

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The Mathematics of Credit Derivatives: The Essential Credit Modelling and Pricing Companion
by Philipp J. Schönbucher,
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In Rememberance: World Trade Center (WTC)

A New Risk Indicator and Stress Testing Tool: A Multifactor Nth-to-Default CDS Basket

by Renzo G. Avesani of the International Monetary Fund,
Antonio García Pascual of the International Monetary Fund, and
Jing Li of the International Monetary Fund

April 2006

Abstract: This paper generalizes a market-based indicator for financial sector surveillance using a multifactor latent structure in the determination of the default probabilities of an nth-to default credit default swap (CDS) basket of large complex financial institutions (LCFIs). To estimate the multifactor latent structure, we link the market risk (the covariance of the LCFIs' equity) to credit risk (the default probability of the CDS basket) in a coherent manner. In addition, to analyze the response of the probabilities of default to changing macroeconomic conditions, we run a stress test by generating shocks to the latent multifactor structure. The results unveil a rich set of default probability dynamics and help in identifying the most relevant sources of risk. We anticipate that this approach could be of value to financial supervisors and risk managers alike.

JEL Classification: G11, G13, G15, G21, G24.

Keywords: Risk management, market indicators, stress testing, credit default swap (CDS), collateralized debt obligation (CDO), credit risk, large complex financial institutions (LCFIs).

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