Reduced Form Modelling for Credit Risk

25 Pages Posted: 19 Oct 2007 Last revised: 2 Aug 2009

See all articles by Monique Jeanblanc

Monique Jeanblanc

Université d'Évry - Departement de Mathematiques

Yann Lecam

Evry University; French Treasury

Date Written: August 24, 2008


The purpose of this paper is to present in a unified context the reduced form modelling approach, in which a credit event is modelled as a totally inaccessible stopping time. Once the general framework is introduced (frequently referred to as pure intensity set-up), we focus on the special case where the full information at the disposal of the traders may be split in two sub-filtrations, one of them carrying the information of the occurrence of the credit event (in general referred to as hazard process approach). The general pricing rule when only one filtration is considered reveals to be non tractable in most of cases, whereas the second construction leads to much simplest formulas. Examples are given and evidence advanced that this set-up is more tractable.

Keywords: credit derivatives, intensity, hazard process, credit default swap

JEL Classification: C60, G12, G13

Suggested Citation

Jeanblanc, Monique and Lecam, Yann, Reduced Form Modelling for Credit Risk (August 24, 2008). Available at SSRN: or

Monique Jeanblanc

Université d'Évry - Departement de Mathematiques ( email )

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33 (0) 1 69 47 02 18 (Fax)

Yann Lecam (Contact Author)

Evry University ( email )


French Treasury ( email )


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