Credit Risk Pricing Models (2^nd Ed., 2nd ed. 2004)
Theory and Practice
Springer Finance Series

This new edition is a greatly extended and updated version of my earlier monograph "Pricing Credit Linked Financial Instruments" (Schmid 2002). Whereas the first edition concentrated on the re­ search which I had done in the context of my PhD thesis, this second edition covers all important credit risk models and gives a general overview of the subject. I put a lot of effort in explaining credit risk factors and show the latest results in default probability and recovery rate modeling. There is a special emphasis on correlation issues as well. The broad range of financial instruments I consider covers not only defaultable bonds, defaultable swaps and single counterparty credit derivatives but is further extended by multi counterparty in­ struments like index swaps, basket default swaps and collateralized debt obligations. I am grateful to Springer-Verlag for the great support in the realiza­ tion of this project and want to thank the readers of the first edition for their overwhelming feedback. Last but not least I want to thank Uli Göser for ongoing patience, en­ couragement, and support, my family and especially my sister Wendy for being there at all times. BemdSchmid Stuttgart, November 2003 Cpntents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Motivation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Objectives, Structure, and S:ummary . . . . . . . . . . . . . . . . . . . . . . 5 2. Modeling Credit Risk Factors. . . . . . . . . . . . . . . . . . . . . . . 13 . . . . . . 2. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2. 2 Definition and Elements of Credit Risk . . . . . . . . . . . . . . .. 13 . . . . 2. 3 Modeling Transition and Default Probabilities. . . . . . . . . . . . . 14 . 2. 3. 1 The Historical Method . . . . . . . . . . . . . . . . . . . . . . 15 . . . . . .

1. Introduction.- 1.1 Motivation.- 1.2 Objectives, Structure, and Summary.- 2. Modeling Credit Risk Factors.- 2.1 Introduction.- 2.2 Definition and Elements of Credit Risk.- 2.3 Modeling Transition and Default Probabilities.- 2.4 Modeling Recovery Rates.- 3. Pricing Corporate and Sovereign Bonds.- 3.1 Introduction.- 3.2 Asset Based Models.- 3.3 Intensity Based Models.- 4. Correlated Defaults.- 4.1 Introduction.- 4.2 Correlated Asset Values.- 4.3 Correlated Default Intensities.- 4.4 Correlation and Copula Functions.- 5. Credit Derivatives.- 5.1 Introduction to Credit Derivatives.- 5.2 Technical Definitions.- 5.3 Single Counterparty Credit Derivatives.- 5.4 Multi Counterparty Credit Derivatives.- 6. A Three-Factor Defaultable Term Structure Model.- 6.1 Introduction.- 6.2 The Three-Factor Model.- 6.3 The Pricing of Defaultable Fixed and Floating Rate Debt.- 6.4 The Pricing of Credit Derivatives.- 6.5 A Discrete-Time Version of the Three-Factor Model.- 6.6 Fitting the Model to Market Data.- 6.7 Portfolio Optimization under Credit Risk.- A. Some Definitions of S&P.- A.1 Definition of Credit Ratings.- A.1.1 Issue Credit Ratings.- A.1.2 Issuer Credit Ratings.- A.2 Definition of Default.- A.2.1 S&P’s definition of corporate default.- A.2.2 S&P’s definition of sovereign default.- B. Technical Proofs.- B.1 Proof of Lemma 6.2.1.- B.3 Proofs of Lemma 6.3.1 and Lemma 6.4.2.- B.4 Proof of Lemma 6.4.3.- B.5 Tools for Pricing Non-Defaultable Contingent Claims.- C. Pricing of Credit Derivatives: Extensions.- List of Figures.- List of Tables.- References.

Contains the latest developments in credit risk research Gives a broad overview of credit risk models