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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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In Rememberance: World Trade Center (WTC)

Ratings Migration and the Business Cycle, With Application to Credit Portfolio Stress Testing

by Anil Bangia of Oliver, Wyman & Company,
Francis X. Diebold of New York University, NBER and the Oliver Wyman Institute, and
Til Schuermann of Oliver, Wyman & Company

April 11, 2000

Abstract: The turmoil in the capital markets in 1997 and 1998 has highlighted the need for systematic stress testing of banks' portfolios, including both their trading and lending books. We propose that underlying macroeconomic volatility is a key part of a useful conceptual framework for stress testing credit portfolios, and that credit migration matrices provide the specific linkages between underlying macroeconomic conditions and asset quality. Credit migration matrices, which characterize the expected changes in credit quality of obligors, are cardinal inputs to many applications, including portfolio risk assessment, modeling the term structure of credit risk premia, and pricing of credit derivatives. They are also an integral part of many of the credit portfolio models used by financial institutions. By separating the economy into two states or regimes, expansion and contraction, and conditioning the migration matrix on these states, we show that the loss distribution of credit portfolios can differ greatly, as can the concomitant level of economic capital to be assigned.

JEL Classification: G11, G21, G28.

Keywords: Credit risk, stress testing, ratings migration, credit portfolio management.

Published in: Journal of Banking & Finance, Vol. 26 (2-3), (March 2002), pp. 445-474.

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