CDO model: Large Homogeneous Pool Model

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CDO model: Large Homogeneous Pool Model

by Domenico Picone of Dresdner Kleinwort,
Priya Shah of Dresdner Kleinwort,
Marco Stoeckle of Dresdner Kleinwort, and
Andrea Loddo of Dresdner Kleinwort

September 2008

Abstract: Infinite, homogeneous portfolio:

In the first part of our series we release the Large Homogenous Pool Model in the standard version as well as a version using the Gauss-Hermite Integration technique.
This publication has been structured as a user guide to be used in conjunction with the excel-based model. Whilst we do briefly touch upon the main theoretical concepts, we do not go into detailed explanations and proofs, as this information has been widely discussed and is readily available. Instead, we focus on how to implement the theory and apply the models.
Given the simplified assumptions behind this model, it is not a pricing tool for CDO tranches but instead is the first step to allow the user to appreciate the impact of key parameters such as correlation, recovery and spread on the value of a specific tranche.
Additionally, as the pool is considered to have an infinite and identical number of obligors, aspects such as idiosyncratic risk are not specifically treated. We will relax and analyse these points in the upcoming models.