Abstract

http://ssrn.com/abstract=1124954
 
 

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Forward Equations for Portfolio Credit Derivatives


Rama Cont


Imperial College London; CNRS - Universite de Paris VI

Ioana A. Savescu


Merrill Lynch & Co. - Merrill Lynch, UK

2008

Columbia University Center for Financial Engineering, Financial Engineering Report No. 2008-05

Abstract:     
We introduce an alternative approach for computing the values of CDO tranche spreads in reduced-form models for portfolio credit derivatives ("top-down" models), which allows for efficient computations and can be used as an ingredient of an efficient calibration algorithm. Our approach is based on the solution of a system of ordinary differential equations, which is the analogue for portfolio credit derivatives of Dupire's famous equation for call option prices. It allows to efficiently price CDOs and other portfolio credit derivatives without Monte Carlo simulation.

Number of Pages in PDF File: 22

Keywords: credit risk, portfolio credit derivatives, CDO, derivative pricing, tranche

JEL Classification: G13,C14, C63

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Date posted: April 25, 2008  

Suggested Citation

Cont, Rama and Savescu, Ioana A., Forward Equations for Portfolio Credit Derivatives (2008). Columbia University Center for Financial Engineering, Financial Engineering Report No. 2008-05. Available at SSRN: http://ssrn.com/abstract=1124954 or http://dx.doi.org/10.2139/ssrn.1124954

Contact Information

Rama Cont (Contact Author)
Imperial College London ( email )
London, SW7 2AZ
United Kingdom
HOME PAGE: http://www3.imperial.ac.uk/people/r.cont
CNRS - Universite de Paris VI ( email )
Laboratoire de Probabilites & Modeles aleatoires
Universite Pierre & Marie Curie (Paris VI)
Paris, 75252
France
HOME PAGE: http://www.proba.jussieu.fr/pageperso/ramacont/
Ioana A. SAVESCU
Merrill Lynch & Co. - Merrill Lynch, UK ( email )
Merrill Lynch Financial Centre
2 King Edward Street
LONDON, EC1A 1HQ
United Kingdom
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