Nov 08, 2007 22:03
- Calibration of CDO Tranches with the dynamical Generalized-Poisson Loss model, Brigo, Pallavicini, Torresetti (2006).
- Pricing Credit from the top down with affine point processes, Errais, Giesecke, Goldberg (2006).
- Portfolio losses and the term structure of loss transition rates : a new methodology for the pricing of portfolio credit derivatives, Schoenbucher (2005)
- A new framework for dynamic credit portfolio loss modelling, Sidenius Piterbarg Andersen (2005). A New Framework for Dynamic Credit Portfolio Loss Modelling
by Jakob Sidenius of the Royal Bank of Scotland,
Vladimir Piterbarg of Barclays Capital, and
Leif Andersen of BanK of America Securities
June 18, 2006
Abstract: We present the SPA framework, a novel approach to the modeling of the dynamics of portfolio default losses. In this framework, models are specified by a two layer process. The first layer models the dynamics of portfolio loss distributions in the absence of information about default times. This background process can be explicitly calibrated to the full grid of marginal loss distributions as implied by initial CDO tranche values indexed on maturity, as well as to the prices of suitable options. We give sufficient conditions for consistent dynamics. The second layer models the loss process itself as a Markov process conditioned on the path taken by the background process. The choice of loss process is non-unique. We present a number of choices, and discuss their advantages and disadvantages. Several concrete model examples are given, and valuation in the new framework is described in detail. Among the specific securities for which algorithms are presented are CDO tranche options and leveraged super-senior tranches.
Keywords: Dynamic model of CDOs, dynamic copula, conditional Markov process, options on tranches, option on CDO tranche, portfolio loss, SPA model, leveraged super-senior. Article
- Approximation of Large Portfolio Losses by Stein’s Method and Zero Bias Transformation El Karoui, Jiao (2006).
- Pricing CDOs and other Credit Derivatives in Multifactor models S. Suchintabandid Phd Thesis Columbia University (2007).
- Correlation expansions for CDO pricing P.Glassermann S. Suchintabandid J.Banking and Finance (2007).
- Optimal Fourier Inversion in Semy-Analytical Option Pricing, R.Lord, C.Kahl (2006).
- All your Hedges in One Basket, L.Andersen, J.Sidenious, J.Basu Risk (2004)
pricing,
credit risk,
cdo