Introduction to Credit Risk Modeling, Second Edition

Introduction to Credit Risk Modeling, Second Edition

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Series: Chapman & Hall/CRC Financial Mathematics Series.

Contains Nearly 100 Pages of New Material

The recent financial crisis has shown that credit risk in particular and finance in general remain important fields for the application of mathematical concepts to real-life situations. While continuing to focus on common mathematical approaches to model credit portfolios, Introduction to Credit Risk Modeling, Second Edition presents updates on model developments that have occurred since the publication of the best-selling first edition.

New to the Second Edition

  • An expanded section on techniques for the generation of loss distributions
  • Introductory sections on new topics, such as spectral risk measures, an axiomatic approach to capital allocation, and nonhomogeneous Markov chains
  • Updated sections on the probability of default, exposure-at-default, loss-given-default, and regulatory capital
  • A new section on multi-period models
  • Recent developments in structured credit

The financial crisis illustrated the importance of effectively communicating model outcomes and ensuring that the variation in results is clearly understood by decision makers. The crisis also showed that more modeling and more analysis are superior to only one model. This accessible, self-contained book recommends using a variety of models to shed light on different aspects of the true nature of a credit risk problem, thereby allowing the problem to be viewed from different angles.

Table of Contents

The Basics of Credit Risk Management

Expected Loss

Unexpected Loss

Regulatory Capital and the Basel Initiative

Modeling Correlated Defaults

The Bernoulli Model

The Poisson Model

Bernoulli versus Poisson Mixture

An Overview of Common Model Concepts

One-Factor/Sector Models

Loss Dependence by Means of Copula Functions

Working Example on Asset Correlations

Generating the Portfolio Loss Distribution

Asset Value Models

Introduction and a Brief Guide to the Literature

A Few Words about Calls and Puts

Merton’s Asset Value Model

Transforming Equity into Asset Values: A Working Approach

The CreditRisk+ Model

The Modeling Framework of CreditRisk+

Construction Step 1: Independent Obligors

Construction Step 2: Sector Model

Risk Measures and Capital Allocation

Coherent Risk Measures and Expected Shortfall

Contributory Capital

Term Structure of Default Probability

Survival Function and Hazard Rate

Risk-Neutral vs. Actual Default Probabilities

Term Structure Based on Historical Default Information

Term Structure Based on Market Spreads

Credit Derivatives

Total Return Swaps

Credit Default Products

Basket Credit Derivatives

Credit Spread Products

Credit-Linked Notes

Collateralized Debt Obligations

Introduction to Collateralized Debt Obligations (CDOs)

Different Roles of Banks in the CDO Market

CDOs from the Modeling Point of View

Multi-Period Credit Models

Former Rating Agency Model: Moody’s BET

Developments, Model Issues, and Further Reading

References

Index

Reviews

Praise for the First Edition

"This is an outstanding book on the default models that are used internally by financial institutions. This practical book delves into the mathematics, the assumptions and the approximations that practitioners apply to make these models work."

—Glyn A. Holton, Contingency Analysis

"There are so many financial tools available today and numbers are likely to grow in the future. If you work in this field of credit risk modelling it is worth looking at the theoretical background, and this book is a well-rounded introduction."

Journal of the Operational Research Society

"As an introductory survey it does an admirable job. … this book is an important guide into the field of credit risk models. Mainly for the practitioner … It is well written, fairly easy to follow."

—Horst Behncke, Zentralblatt MATH

Author Biography

Over the years, Christian Bluhm has worked for Deutsche Bank, McKinsey, HypoVereinsbank’s Group Credit Portfolio Management, and Credit Suisse. He earned a Ph.D. in mathematics from the University of Erlangen-Nürnberg.

Ludger Overbeck is a professor of probability theory and quantitative finance and risk management in the Institute of Mathematics at the University of Giessen. During his career, he worked for Deutsche Bundesbank, Deutsche Bank, HypoVereinsbank/UniCredit, DZBank, and Commerzbank. He earned a Ph.D. in mathematics from the University of Bonn.

Christoph Wagner has worked for Deutsche Bank, Allianz Group Center, UniCredit/HypoVereinsbank, and Allianz Risk Transfer. He earned a Ph.D. in statistical physics from the Technical University of Munich.

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