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Acknowledgements | |
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About the Author | |
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Introduction | |
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Notation | |
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The Credit Derivatives Market | |
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Introduction | |
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Market Growth | |
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Products | |
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Market Participants | |
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Summary | |
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Building the Libor Discount Curve | |
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Introduction | |
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The Libor Index | |
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Money Market Deposits | |
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Forward Rate Agreements | |
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Interest Rate Futures | |
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Interest Rate Swaps | |
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Bootstrapping the Libor Curve | |
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Summary | |
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Technical Appendix | |
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Single-Name Credit Derivatives | |
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Single-name Credit Modelling | |
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Introduction | |
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Observing Default | |
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Risk-neutral Pricing Framework | |
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Structural Models of Default | |
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Reduced Form Models | |
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The Hazard Rate Model | |
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Modelling Default as a Cox Process | |
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A Gaussian Short Rate and Hazard Rate Model | |
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Independence and Deterministic Hazard Rates | |
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The Credit Triangle | |
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The Credit Risk Premium | |
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Summary | |
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Technical Appendix | |
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Bonds and Asset Swaps | |
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Introduction | |
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Fixed Rate Bonds | |
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Floating Rate Notes | |
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The Asset Swap | |
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The Market Asset Swap | |
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Summary | |
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The Credit Default Swap | |
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Introduction | |
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The Mechanics of the CDS Contract | |
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Mechanics of the Premium Leg | |
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Mechanics of the Protection Leg | |
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Bonds and the CDS Spread | |
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The CDS-Cash basis | |
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Loan CDS | |
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Summary | |
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A Valuation Model for Credit Default Swaps | |
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Introduction | |
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Unwinding a CDS Contract | |
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Requirements of a CDS Pricing Model | |
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Modelling a CDS Contract | |
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Valuing the Premium Leg | |
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Valuing the Protection Leg | |
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Upfront Credit Default Swaps | |
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Digital Default Swaps | |
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Valuing Loan CDS | |
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Summary | |
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Calibrating the CDS Survival Curve | |
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Introduction | |
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Desirable Curve Properties | |
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The Bootstrap | |
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Interpolation Quantities | |
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Bootstrapping Algorithm | |
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Behaviour of the Interpolation Scheme | |
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Detecting Arbitrage in the Curve | |
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Example CDS Valuation | |
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Summary | |
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CDS Risk Management | |
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Introduction | |
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Market Risks of a CDS Position | |
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Analytical CDS Sensitivities | |
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Full Hedging of a CDS Contract | |
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Hedging the CDS Spread Curve Risk | |
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Hedging the Libor Curve Risk | |
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Portfolio Level Hedging | |
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Counterparty Risk | |
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Summary | |
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Forwards, Swaptions and CMDS | |
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Introduction | |
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Forward Starting CDS | |
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The Default Swaption | |
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Constant Maturity Default Swaps | |
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Summary | |
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Multi-Name Credit Derivatives | |
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CDS Portfolio Indices | |
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Introduction | |
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Mechanics of the Standard Indices | |
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CDS Portfolio Index Valuation | |
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The Index Curve | |
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Calculating the Intrinsic Spread of an Index | |
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The Portfolio Swap Adjustment | |
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Asset-backed and Loan CDS Indices | |
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Summary | |
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Options on CDS Portfolio Indices | |
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Introduction | |
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Mechanics | |
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Valuation of an Index Option | |
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An Arbitrage-free Pricing Model | |
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Examples of Pricing | |
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Risk Management | |
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Black's Model Revisited | |
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Summary | |
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An Introduction to Correlation Products | |
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Introduction | |
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Default Baskets | |
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Leveraging the Spread Premia | |
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Collateralised Debt Obligations | |
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The Single-tranche Synthetic CDO | |
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CDOs and Correlation | |
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The Tranche Survival Curve | |
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The Standard Index Tranches | |
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Summary | |
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The Gaussian Latent Variable Model | |
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Introduction | |
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The Model | |
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The Multi-name Latent Variable Model | |
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Conditional Independence | |
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Simulating Multi-name Default | |
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Default Induced Spread Dynamics | |
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Calibrating the Correlation | |
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Summary | |
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Modelling Default Times using Copulas | |
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Introduction | |
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Definition and Properties of a Copula | |
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Measuring Dependence | |
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Rank Correlation | |
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Tail Dependence | |
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Some Important Copulae | |
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Pricing Credit Derivatives from Default Times | |
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Standard Error of the Breakeven Spread | |
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Summary | |
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Technical Appendix | |
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Pricing Default Baskets | |
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Introduction | |
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Modelling First-to-default Baskets | |
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Second-to-default and Higher Default Baskets | |
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Pricing Baskets using Monte Carlo | |
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Pricing Baskets using a Multi-Factor Model | |
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Pricing Baskets in the Student-t Copula | |
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Risk Management of Default Baskets | |
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Summary | |
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Pricing Tranches in the Gaussian Copula Model | |
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Introduction | |
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The LHP Model | |
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Drivers of the Tranche Spread | |
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Accuracy of the LHP Approximation | |
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The LHP Model with Tail Dependence | |
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Summary | |
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Technical Appendix | |
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Risk Management of Synthetic Tranches | |
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Introduction | |
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Systemic Risks | |
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The LH+ Model | |
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Idiosyncratic Risks | |
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Hedging Tranches | |
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Summary | |
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Technical Appendix | |
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Building the Full Loss Distribution | |
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Introduction | |
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Calculating the Tranche Survival Curve | |
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Building the Conditional Loss Distribution | |
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Integrating over the Market Factor | |
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Approximating the Conditional Portfolio Loss Distribution | |
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A Comparison of Methods | |
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Perturbing the Loss Distribution | |
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Summary | |
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Implied Correlation | |
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Introduction | |
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Implied Correlation | |
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Compound Correlation | |
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Disadvantages of Compound Correlation | |
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No-arbitrage Conditions | |
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Summary | |
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Base Correlation | |
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Introduction | |
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Base Correlation | |
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Building the Base Correlation Curve | |
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Base Correlation Interpolation | |
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Interpolating Base Correlation using the ETL | |
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A Base Correlation Surface | |
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Risk Management of Index Tranches | |
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Hedging the Base Correlation Skew | |
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Base Correlation for Bespoke Tranches | |
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Risk Management of Bespoke Tranches | |
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Summary | |
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Copula Skew Models | |
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Introduction | |
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The Challenge of Fitting the Skew | |
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Calibration | |
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Random Recovery | |
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The Student-t Copula | |
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The Double-t Copula | |
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The Composite Basket Model | |
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The Marshall-Olkin Copula | |
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The Mixing Copula | |
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The Random Factor Loading Model | |
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The Implied Copula | |
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Copula Comparison | |
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Pricing Bespokes | |
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Summary | |
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Advanced Multi-name Credit Derivatives | |
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Introduction | |
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Credit CPPI | |
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Constant Proportion Debt Obligations | |
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The CDO-squared | |
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Tranchelets | |
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Forward Starting Tranches | |
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Options on Tranches | |
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Leveraged Super Senior | |
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Summary | |
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Dynamic Bottom-up Correlation Models | |
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Introduction | |
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A Survey of Dynamic Models | |
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The Intensity Gamma Model | |
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The Affine Jump Diffusion Model | |
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Summary | |
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Technical Appendix | |
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Dynamic Top-down Correlation Models | |
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Introduction | |
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The Markov Chain Approach | |
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Markov Chain: Initial Generator | |
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Markov Chain: Stochastic Generator | |
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Summary | |
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Useful Formulae | |
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Bibliography | |
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Index | |