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The Handbook of Credit Portfolio Management
The Handbook of Credit Portfolio Management

by Greg N. Gregoriou, Christian Hoppe, McGraw-Hill,
September 22, 2008, Hardcover, 504 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)

Correlated Default Modeling with a Forest of Binomial Trees

by Santhosh Bandreddi of the University of California Berkeley,
Sanjiv Das of Santa Clara University, and
Rong Fan of Credit Suisse First Boston

April 6, 2006

Abstract: This paper exploits an endogenous default function framework to develop an approach for modeling correlated default on binomial trees usually used for pricing equity options. We show how joint default contracts may be valued on these trees. The model accommodates different correlation assumptions and practical implementation considerations. Credit portfolio characteristics are examined within the model and found to be consistent with stylized empirics. Risk premia for default are computable and shown to be relatively higher for poor quality firms. Equity volatility is shown to impact correlated credit loss distributions substantially. Two kinds of default dependence are explored, one coming from default intensity correlations, and the other from further conditional dependence in defaults after accounting for intensity correlations (residual copula correlation). Both are found to impact credit loss distributions, though the absence of either makes these distributions less sensitive to correlation assumptions; on balance intensity correlations are more critical.

Download paper (239K PDF) 34 pages

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