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Credit Correlation : Life After Copulas.

Author: Alexander Lipton; Andrew Rennie
Publisher: Singapore : World Scientific Publishing Company, 2007.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The recent growth of credit derivatives has been explosive. The global credit derivatives market grew in notional value from 1 trillion to 20 trillion from 2000 to 2006. However, understanding the true nature of these instruments still poses both theoretical and practical challenges. For a long time now, the framework of Gaussian copulas parameterized by correlation, and more recently base correlation, has provided  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander Lipton; Andrew Rennie
ISBN: 9789812709509 9812709509
OCLC Number: 879025125
Description: 1 online resource (178 pages)
Contents: Introduction; Levy Simple Structural Models M. Baxter; 1. Introduction; 2. Levy Processes; 3. Credit Models for Single Names; 3.1. Example: Term structure of a single credit; 3.2. Extensions; 4. Portfolio Credit Models; 5. Calibration and Model Comparison; 6. Parameter Risks and Hedging; 6.1. Case study: Auto crisis May 2005; 7. Implementation and Other Products; 7.1. Calculating the distribution function; 7.2. Performing the optimization; 7.3. Other products; 8. Summary and Conclusions; References. Cluster-Based Extension of the Generalized Poisson Loss Dynamics and Consistency with Single Names D. Brigo, A. Pallavicini and R. Torresetti1. Introduction; 2. Modeling Framework and the CPS Approach; 3. Avoiding Repeated Defaults; 3.1. Default-counting adjustment: GPL model (Strategy 0); 3.2. Single-name adjusted approach (Strategy 1); 3.3. GPCL model: Cluster-adjusted approach (Strategy 2); 3.4. Comparing models in a simplified scenario; 4. The GPCL Model Calibration; 4.1. Calibration results; 5. Extensions: Spread and Recovery Dynamics; 6. Conclusions; Acknowledgements; References. Appendix A. Market QuotesAppendix B. Calibration Inputs and Outputs; Stochastic Intensity Modeling for Structured Credit Exotics A. Chapovsky, A. Rennie and P. Tavares; 1. Introduction; 2. Model Setup; 2.1. Motivation; 2.2. Single credit dynamics; 2.3. Multiple credit dynamics; 2.4. Factorization of intensity dynamics; 2.5. Note on credit correlation; 3. Model Parametrization and Calibration; 3.1. Jump-only process; 3.2. Jump-CIR process; 3.3. Non-linear jump-diffusion process; 3.4. Idiosyncratic intensity dynamics; 4. Application to Structured Credit Exotics. 4.1. Approximating model dynamics4.2. Pricing of derivatives; 4.2.1. Vanilla tranches; 4.2.2. European option on tranche; 4.2.3. Leveraged tranche; 4.2.4. Tranche with counterparty risk; 5. Conclusions; Acknowledgments; References; Large Portfolio Credit Risk Modeling M.H.A. Davis and J.C. Esparragoza-Rodriguez; 1. Introduction; 2. Model Description; 2.1. Formal definition of the model; 3. Fluid and Diffusion Limits; 4. Convergence Results for the Rating Distribution Process; 4.1. The fiuid limit; 4.2. The diffusion limit. 4.3. The infinitesimal generator of the single-obligor process and the probability of default5. Computational Aspects: Quadratures; 5.1. CDO pricing; 5.2. Changes of measure, the Poisson space and Quadrature formulas; 5.2.1. The canonical space of a Poisson process; 5.2.2. Gaussian quadratures; 5.3. Some comparisons; 6. Calibration; 6.1. A 3-state environment process; 6.1.1. Implementation; 7. Conclusions; References; Empirical Copulas for CDO Tranche Pricing Using Relative Entropy M.A.H. Dempster, E.A. Medova and S.W. Yang; 1. Introduction.

Abstract:

The recent growth of credit derivatives has been explosive. The global credit derivatives market grew in notional value from 1 trillion to 20 trillion from 2000 to 2006. However, understanding the true nature of these instruments still poses both theoretical and practical challenges. For a long time now, the framework of Gaussian copulas parameterized by correlation, and more recently base correlation, has provided an adequate, if unintuitive, description of the market. However, the increased liquidity in credit indices and index tranches, as well as the proliferation of exotic instruments suc.

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