The author focuses on a method to price Collateralized Debt Obligations (CDO) tranches. The original method is developed by Castagna, Mercurio and Mosconi in 2012. The Thesis provides an extension of the original work by generalizing the Gaussian dependence in terms of Copula functions. In particular the model is rewritten for the specific case of the Clayton copula. The method is applied to price the tranches of a CDX. By comparing the tranches prices, it is possible to notice that the Clayton approach leads to smaller equity and mezzanine tranches. The senior and super senior tranches levels are higher when the dependence is modeled by a Clayton copula.ContentsCDO: General CharacteristicsCredit Risk ModelingCopula Functions and Dependency ConceptsMoment Matching ApproximationExtensions to the ModelImplementationTarget GroupsResearchers in the field of FinancePractitioners of Financial InstitutionsThe Author Enrico Marcantoni obtained his Master Degree in Quantitative Finance at the University of Bologna  (Italy) taking part in a Double Degree Program  in collaboration  with the Master in Quantitative Asset and Risk Management at the University of Applied Sciences (bfi) Vienna (Austria).