 A Tree Implementation of a Credit Spread Model for Credit DerivativesNo 17/2001, Bonn Econ Discussion Papers from University of Bonn, Bonn Graduate School of Economics (BGSE) Abstract: In this paper we present a tree model for defaultable bond prices which can be used for the pricing of credit derivatives. The model is based upon the two-factor Hull-White (1994) model for default-free interest rates, where one of the factors is taken to be the credit spread of the defaultable bond prices. As opposed to the tree model of Jarrow and Turnbull (1992), the dynamics of default-free interest rates and credit spreads in this model can have any desired degree of correlation, and the model can be fitted to any given term structures of default-free and defaultable bond prices, and to the term structures of the respective volatilities. Furthermore the model can accommodate several alternative models of default recovery, including the fractional recovery model of Duffie and Singleton (1994) and recovery in terms of equivalent default-free bonds (see e.g. Lando (1998)). Although based on a Gaussian setup, the approach can easily be extended to non-Gaussian processes that avoid negative interest-rates or credit spreads. Keywords: credit derivatives; credit risk; implementation; Hull-White model (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:zbw:bonedp:172001 Access Statistics for this paper More papers in Bonn Econ Discussion Papers from University of Bonn, Bonn Graduate School of Economics (BGSE) Contact information at EDIRC. |
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