Abstract

http://ssrn.com/abstract=1473737
 
 

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Valuation of a Cashflow CDO Without Monte Carlo Simulation


Donal A. Gallagher


Eudaemon Consulting

James P. Gleeson


University of Limerick, Ireland

Chris Kenyon


Lloyds Banking Group

Roland Lichters


IKB Deutsche Industriebank AG

September 15, 2009


Abstract:     
Unlike tranches of synthetic CDOs, that depend only on the defaults of the underlying securities, tranches of cashflow CDOs also depend on the interest cash flows from the coupons of the securities. Whilst fast, accurate, (semi-)analytic methods exist for pricing synthetic CDO tranches (Hull and White 2004), no equivalent methods exist for pricing cashflow CDO tranches because of their dependence on both principal and interest waterfalls. We introduce an analytical approximation that renders cashflow CDOs amenable to (semi-)analytic pricing. The complication of needing the joint distribution of interest and outstanding notional is reduced to needing only their marginal distributions. We show that our analytic approximation is globally valid with bounded errors that are small in most cases. Furthermore, our approach can be extended to more detailed structural features such as interest coverage tests and over-collateralization tests. We present results from realistic cashflow CDO examples.

Number of Pages in PDF File: 25

Keywords: cashflow CDO, CLO, tranche, pricing, derivatives, credit, Monte Carlo, simulation

JEL Classification: G12, G13, G21, G24, G16, C15, C63

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Date posted: September 16, 2009  

Suggested Citation

Gallagher, Donal A. and Gleeson, James P. and Kenyon, Chris and Lichters, Roland, Valuation of a Cashflow CDO Without Monte Carlo Simulation (September 15, 2009). Available at SSRN: http://ssrn.com/abstract=1473737 or http://dx.doi.org/10.2139/ssrn.1473737

Contact Information

Donal A. Gallagher (Contact Author)
Eudaemon Consulting ( email )
Dublin
Ireland
James P. Gleeson
University of Limerick, Ireland ( email )
MACSI
Dept of Mathematics and Statistics
Limerick
Ireland
HOME PAGE: http://www.ul.ie/gleesonj
Chris Kenyon
Lloyds Banking Group ( email )
10 Gresham Street
London, EC2V 7AE
United Kingdom
Roland Lichters
IKB Deutsche Industriebank AG ( email )
Wilhelm-Boetzkes-Str. 1
40474 Duesseldorf
Germany
HOME PAGE: http://www.ikb.de
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