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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,
WBS Training, August 2003, DVD / Interactive CD-ROM
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In Rememberance: World Trade Center (WTC)

Individual Stock-Option Prices and Credit Spreads

by Martijn Cremers of the Yale School of Management,
Joost Driessen of the University of Amsterdam,
Pascal Maenhout of INSEAD, and
David Weinbaum of Cornell University

January 2006

Abstract: This paper introduces measures of volatility and jump risk that are based on individual stock options to explain credit spreads on corporate bonds. Implied volatilities of individual options are shown to contain important information for credit spreads and improve on both implied volatilities of index options and on historical volatilities when explaining the crosssectional and time-series variation in a panel of corporate bond spreads. Both the level of individual implied volatilities and the implied-volatility skew matter for credit spreads. The empirical estimates are in line with the coefficients predicted by a theoretical structural firm value model. Importantly, detailed principal component analysis shows that our newly constructed determinants of credit spreads reverse the finding in the literature that structural models leave a large part of the variation in credit spreads unexplained. Furthermore, our results indicate that option-market liquidity has a spillover effect on the short-maturity corporate bond market, and we show that individual option prices contain information on the likelihood of rating migrations.

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