We demonstrate how to compute first- and second-order sensitivities of portfolio credit derivatives such as synthetic collateralized debt obligation (CDO) tranches using algorithmic Hessian methods developed in Joshi and Yang (2010) in a single-factor Gaussian copula model. Our method is correct...

Introduction -- Part I Fundamentals: Credit Derivatives and Markets -- Mathematical Preliminaries -- Part II Static Models: One Factor Gaussian Copula Model -- Normal Inverse Gaussian Factor Copula Model -- Part III: Term-Structure Models -- Large Homogeneous Cell Approximation for Factor Copula...