Default Risk: An Enlargement of Filtration Approach

  • Monique JeanblancEmail author
  • Marc Yor
  • Marc Chesney
Part of the Springer Finance book series (FINANCE)


In this chapter, our goal is to present results that cover the reduced form methodology of credit risk modelling. In the first part, we provide a detailed analysis of the relatively simple case where the flow of information available to an agent reduces to observations of the random time which models the default event. The focus is on the evaluation of conditional expectations with respect to the filtration generated by a default time by means of the hazard function. In the second part, we study the case where an additional information flow is present; we then use the conditional survival probability, also called the hazard process. We present the intensity approach and discuss the link between both approaches. After a short introduction to Credit Default Swap’s, we end the chapter with a study of hedging defaultable claims.


Credit Default Swap Default Risk Contingent Claim Martingale Measure Hedging Strategy 
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Copyright information

© Springer-Verlag London 2009

Authors and Affiliations

  1. 1.Dépt. MathématiquesUniversité d’EvryEvryFrance
  2. 2.Labo. Probabilités et Modèles AléatoiresUniversité Paris VIParisFrance
  3. 3.Inst. Schweizerisches Bankwesen (ISB)Universität ZürichZürichSwitzerland

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