Pricing and Hedging of CDOs: A Top Down Approach

This paper considers the pricing and hedging of collateralized debt obligations (CDOs). CDOs are complex derivatives on a pool of credits which we choose to analyse in the top down model proposed in Filipovic et al. (Math. Finance, forthcoming, 2009). We reflect on the implied forward rates and bring them in connection with the top-down framework in Lipton and Shelton (Working paper, 2009) and Schonbucher (Working paper, ETH Zurich, 2005). Moreover, we derive variance-minimizing hedging strategies for hedging single tranches with the full index. The hedging strategies are given for the general case. We compute them also explicitly for a parsimonious one-factor affine model.