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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
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In Rememberance: World Trade Center (WTC)

How Much of a Haircut? Options-based structural modeling of defaulted bond recovery rates

by Robert R. Cangemi, Jr. of Citigroup,
Joseph R. Mason of Drexel University & Wharton & Federal Deposit Insurance Corporation, and
Michael S. Pagano of Villanova University

September 4, 2007

Abstract: The present paper hypothesizes that a real options characterization of an optimal stopping problem can explain a large amount of the variability in losses on defaulted corporate debt securities. Further augmenting this approach by modeling a system of equations that jointly estimates the market values of debt and equity adds considerable explanatory power. Empirical tests with a large number of corporate defaults confirm the usefulness of the approach. Moreover, higher volatility and lower discount rates around business cycle turning points can result in stakeholders waiting longer for additional returns from defaulted debt. Such optimal stopping behavior mitigates the debt "haircut" (the reduction in face value of debt and/or increase in stated maturity that resolves the default) but prolongs the duration of financial distress. Hence, the real options approach creates an intuitive and powerful framework for analyzing debt values across the business cycle.

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