Table of Contents
Title Page
Copyright Page
List of Abbreviations
Preface
PART One - Bubbles and Crises: The Global Financial Crisis of 2007-2009
CHAPTER 1 - Setting the Stage for Financial Meltdown
INTRODUCTION
THE CHANGING NATURE OF BANKING
REENGINEERING FINANCIAL INSTITUTIONS AND MARKETS
SUMMARY
APPENDIX 1.1: RATINGS COMPARISONS FOR THE THREE MAJOR RATING AGENCIES
CHAPTER 2 - The Three Phases of the Credit Crisis
INTRODUCTION
BURSTING OF THE CREDIT BUBBLE
PHASE 1 : CREDIT CRISIS IN THE MORTGAGE MARKET
PHASE 2 : THE CRISIS SPREADS—LIQUIDITY RISK
PHASE 3 : THE LEHMAN FAILURE—UNDERWRITING AND POLITICAL INTERVENTION RISK
SUMMARY
CHAPTER 3 - The Crisis and Regulatory Failure
INTRODUCTION
CRISIS INTERVENTION
LOOKING FORWARD: RESTRUCTURING PLANS
SUMMARY
PART Two - Probability of Default Estimation
CHAPTER 4 - Loans as Options: The Moody’s KMV Model
INTRODUCTION
THE LINK BETWEEN LOANS AND OPTIONS
THE MOODY’S KMV MODEL
TESTING THE ACCURACY OF EDF™ SCORES
CRITIQUES OF MOODY’S KMV EDF™ SCORES
SUMMARY
APPENDIX 4.1: MERTON’S VALUATION MODEL
APPENDIX 4.2: MOODY’S KMV RISKCALC™
CHAPTER 5 - Reduced Form Models: Kamakura’s Risk Manager
INTRODUCTION
DERIVING RISK-NEUTRAL PROBABILITIES OF DEFAULT
GENERALIZING THE DISCRETE MODEL OF RISKY DEBT PRICING
THE LOSS INTENSITY PROCESS
KAMAKURA’S RISK INFORMATION SERVICES (KRIS)
DETERMINANTS OF BOND SPREADS
SUMMARY
APPENDIX 5.1: UNDERSTANDING A BASIC INTENSITY PROCESS
CHAPTER 6 - Other Credit Risk Models
INTRODUCTION
CREDIT SCORING SYSTEMS
MORTALITY RATE SYSTEMS
ARTIFICIAL NEURAL NETWORKS
COMPARISON OF DEFAULT PROBABILITY ESTIMATION MODELS
SUMMARY
PART Three - Estimation of Other Model Parameters
CHAPTER 7 - A Critical Parameter: Loss Given Default
INTRODUCTION
ACADEMIC MODELS OF LGD
DISENTANGLING LGD AND PD
MOODY’S KMV’S APPROACH TO LGD ESTIMATION
KAMAKURA’S APPROACH TO LGD ESTIMATION
SUMMARY
CHAPTER 8 - The Credit Risk of Portfolios and Correlations
INTRODUCTION
MODERN PORTFOLIO THEORY (MPT): AN OVERVIEW
APPLYING MPT TO NONTRADED BONDS AND LOANS
ESTIMATING CORRELATIONS ACROSS NONTRADED ASSETS
MOODY’S KMV’S PORTFOLIO MANAGER
KAMAKURA AND OTHER REDUCED FORM MODELS
SUMMARY
PART Four - Putting the Parameters Together
CHAPTER 9 - The VAR Approach: CreditMetrics and Other Models
INTRODUCTION
THE CONCEPT OF VALUE AT RISK
CAPITAL REQUIREMENTS
TECHNICAL ISSUES AND PROBLEMS
THE PORTFOLIO APPROACH IN CREDITMETRICS
SUMMARY
APPENDIX 9.1: CALCULATING THE FORWARD ZERO CURVE FOR LOAN VALUATION
APPENDIX 9.2: ESTIMATING UNEXPECTED LOSSES USING EXTREME VALUE THEORY
APPENDIX 9.3: THE SIMPLIFIED TWO-ASSET SUBPORTFOLIO SOLUTION TO THE N-ASSET ...
APPENDIX 9.4: CREDITMETRICS AND SWAP CREDIT RISK
CHAPTER 10 - Stress Testing Credit Risk Models: Algorithmics Mark-to-Future
INTRODUCTION
BACK-TESTING CREDIT RISK MODELS
USING THE ALGORITHMICS MARK-TO-FUTURE MODEL
STRESS TESTING U.S. BANKS IN 2009
SUMMARY
CHAPTER 11 - RAROC Models
INTRODUCTION
WHAT IS RAROC?
RAROC, ROA, AND RORAC
ALTERNATIVE FORMS OF RAROC
THE RAROC DENOMINATOR AND CORRELATIONS
RAROC AND EVA
SUMMARY
PART Five - Credit Risk Transfer Mechanisms
CHAPTER 12 - Credit Derivatives
INTRODUCTION
CREDIT DEFAULT SWAPS
CREDIT SECURITIZATIONS
FINANCIAL FIRMS’ USE OF CREDIT DERIVATIVES
CDS SPREADS AND RATING AGENCY RATING SYSTEMS
SUMMARY
APPENDIX 12.1: PRICING THE CDS SPREAD WITH COUNTERPARTY CREDIT RISK EXPOSURE
CHAPTER 13 - Capital Regulation
INTRODUCTION
THE 2006 BASEL II PLAN
SUMMARY
APPENDIX 13.1 LOAN RATING SYSTEMS
Notes
Bibliography
Index
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Copyright © 2010 by Anthony Saunders and Linda Allen. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey.
Published simultaneously in Canada.
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Library of Congress Cataloging-in-Publication Data:
Saunders, Anthony, 1949-
p. cm.—(Wiley finance series)
Includes bibliographical references and index.
eISBN : 978-0-470-62238-4
1. Bank loans. 2. Bank management. 3. Credit—Management. 4. Risk management.
I. Allen, Linda, 1954- II. Saunders, Anthony, 1949- Credit risk measurement. III. Title.
HG1641.S33 2010
332.1′ 20684—dc22
2009044765
List of Abbreviations
ABCPasset-backed commercial paperABSasset-backed securityAEaverage exposureAMAadvanced measurement approachARMadjustable rate mortgageARSadjusted relative spreadABXindex of mortgage-backed security valuesBHCbank holding companyBISBank for International SettlementsBISTROBroad Index Secured Trust OfferingBRWbenchmark risk weightBSMBlack-Scholes-Merton ModelCAPMcapital asset pricing modelCBOEChicago Board Options ExchangeCDOcollateralized debt obligationCDScredit default swapCFTCCommodity Futures Trading CommissionCIOcollateralized insurance obligationCLNcredit-linked noteCLOcollateralized loan obligationCMOcollateralized mortgage obligationCMRcumulative mortality rateCREcommercial real estateCScredit spreadCSFPCrédit Suisse Financial ProductsCVRcontingent value rightsCWIcreditworthiness indexCYCcurrent yield curveDDdistance to defaultDMdefault mode modelEADexposure at defaultEBITDAearnings before interest, taxes, depreciation, and amortizationECEuropean CommunityECAExport Credit AgencyEDFexpected default frequencyEDPestimated default probabilityEEexpected exposureELexpected lossesEVAeconomic value addedEVTextreme value theoryFAfoundation approachFASFinancial Accounting StandardFASBFinancial Accounting Standards BoardFDfair disclosureFDICFederal Deposit Insurance CorporationFNMAFederal National Mortgage AssociationFHFAFederal Housing Finance AgencyFIsfinancial institutionsFSHCfinancial service holding companyFSAFinancial Services AuthorityFSLICFederal Savings and Loan Insurance CorporationFSOfinancial statement onlyFVfuture valueFXforeign exchangeFYCforward yield curveGEVgeneralized extreme valueGDPgross domestic productGLBGraham-Leach-Bliley (author discretion)GPDGeneralized Pareto DistributionGNMAGovernment National Mortgage AssociationGSEgovernment sponsored enterpriseGSFgranularity scaling factorIDRimplied debenture ratingIIFInstitute of International FinanceIMFInternational Monetary FundIRBinternal ratings-based modelISDAInternational Swaps and Derivatives AssociationIQRinterquartile rangeLASLoan Analysis System (KPMG)LBOleveraged buyoutLDCless developed countryLDCsless developed countriesLGDloss given defaultLPCLoan Pricing CorporationLTVloan to valueMmaturityLIBORLondon Inter-Bank Offered RateMBSmortgage-backed securityMDmodified durationMMRmarginal mortality rateMPTmodern portfolio theoryMRCmarginal risk contributionMTMmark-to-market modelNAICNational Association of Insurance CommissionersNASDNational Association of Securities DealersNGRnet to gross (current exposure) ratioNPVnet present valueNRSROnationally recognized statistical rating organizationOAEMother assets especially mentionedOBSoff-balance-sheetOCCOffice of the Comptroller of the CurrencyOECDOrganization for Economic Cooperation and DevelopmentOFHEOOffice of Federal Housing Enterprise OversightOISovernight index swapONIOffice of National InsuranceOPMoption-pricing modelOTCover-the-counterOTSOffice of Thrift SupervisionPDprobability of defaultQDFquasi default frequencyQISQuantitative Impact StudyRAROCrisk-adjusted return on capitalRBCrisk-based capitalREITreal estate investment trustReporepurchase agreementRNrisk-neutralROAreturn on assetsROCreceiver operating characteristicROEreturn on equityRORACreturn on risk-adjusted capitalRMBSresidential mortgage-backed securityRTCresolution trust corporationRWrisk weightRWArisk-weighted assetsSBCSwiss Bank CorporationSECSecurities and Exchange CommissionSIVstructured investment vehicleSMstandardized modelSMEsmall and medium enterpriseSPEspecial-purpose entitySPVspecial-purpose vehicleTBTFtoo big to failTRACETrade Reporting and Compliance EngineULunexpected lossesVARvalue at riskVIXvolatility indexWACCweighted-average cost of capitalWALweighted-average lifeWARRweighted-average risk ratioZYCzero yield curve
Preface
It might seem the height of hubris to write a book on quantitative models measuring credit risk exposure while the wreckage of the credit crisis of 2007 is still all around us. However, in our view, it is just at this time that books like this one are needed. While credit risk measurement models are always in need of improvement, we cannot place all of the blame for the crisis on their failure to detect risk and accurately value credit instruments. Models are only as good as their assumptions, and assumptions are driven by market conditions and incentives. The first three chapters of this book are devoted to a detailed analysis of the before, during, and aftereffects of the global financial crisis of 2007-2009.
In this edition, we build on the first two editions’ approach of explaining the economic underpinnings behind the mathematical modeling, so as to make the concepts accessible to bankers and finance professionals as well as students. We also compare the various models, explaining their strengths and their shortcomings, and describe and critique proprietary services available.
The first section (Chapters 1-3) describes bubbles and crises in order to understand the global financial crisis of 2007-2009. The second section presents several quantitative models used to estimate the probability of default (PD). The two major modeling approaches are the options-theoretic structural models (Chapter 4) and the reduced form models (Chapter 5). The options-theoretic approach explains default in structural terms related to the market value of the firm’s assets as compared to the firm’s liabilities. The reduced form approach statistically decomposes observed risky debt prices into default risk premiums that price credit risk events without necessarily examining their underlying causality. In Chapter 6, we compare and contrast these and other more traditional models (for example, Altman’s Z score and mortality models) in order to assess their forecasting accuracy.
Estimation of the expected probability of default is only one, albeit important, parameter required to compute credit risk exposure. In Chapter 7, we discuss approaches used to estimate another critical parameter: the loss given default (LGD). We also describe how the credit risk of a portfolio is determined in Chapter 8. In the subsequent three chapters, we combine these parameters in order to demonstrate their use in credit risk assessment. Value at risk (VAR) models are discussed in Chapter 9; stress test (including a description of the U.S. government stress testing of 19 systemically important financial firms, released in March 2009) is discussed in Chapter 10; and Chapter 11 describes risk-adjusted return on capital (RAROC) models that are used to allocate capital and even compensation levels within the firm.
The final section deals with credit risk transfer mechanisms. In Chapter 12, we describe and analyze credit default swaps (CDS) and asset-backed securities (ABS). Chapter 13 discusses capital regulation, focusing on Basel II risk-based capital requirements and proposed reforms.
We have many people to thank, but in particular, we would like to thank Anjolein Schmeits for her insightful comments and careful reading of the manuscript.
PART One
Bubbles and Crises: The Global Financial Crisis of 2007-2009
CHAPTER 1
Setting the Stage for Financial Meltdown
INTRODUCTION
In this first chapter we outline in basic terms the underlying mechanics of the ongoing financial crisis facing the financial services industry, and the challenges this creates for future credit risk models and modelers.
Rather than one crisis, the current financial crisis actually comprises three separate but related phases. The first phase hit the national housing market in the United States in late 2006 through early 2007, resulting in an increase in delinquencies on residential mortgages. The second phase was a global liquidity crisis in which overnight interbank markets froze. The third phase has proved to be the most serious and difficult to remedy and was initiated by the failure of Lehman Brothers in September 2008. The lessons to be learned for credit risk models are different for each of these phases. Consequently, we describe first how we entered the initial phase of the current crisis. In the upcoming chapters, we discuss the different phases and implications of the global financial crisis that resulted from the features that characterized the run-up to the crisis.
THE CHANGING NATURE OF BANKING
The traditional view of a bank is that of an institution that issues short-term deposits (e.g., checking accounts and certificates of deposit) that are used to finance the bank’s extension of longer-term loans (e.g., commercial loans to firms and mortgages to households). Since the traditional bank holds the loan until maturity, it is responsible for analyzing the riskiness of the borrower’s activities, both before and after the loan is made. That is, depositors delegate the bank as its monitor to screen which borrowers should receive loans and to oversee whether risky borrowers invest loan proceeds in economically viable (although not risk-free) projects see Diamond [1984].
In this setting, the balance sheet of a bank fully reflects the bank’s activities. The bank’s deposits show up on its balance sheet as liabilities, whereas the bank’s assets include loans that were originated by the bank and are held to maturity. Despite the simplicity of this structure, traditional banking is not free of risk. Indeed, the traditional model tended to expose the bank to considerable liquidity risk, interest rate risk, and credit risk. For example, suppose a number of depositors sought to withdraw their deposits simultaneously. In order to meet depositors’ withdrawals the bank would be forced to raise cash, perhaps by liquidating some assets. This might entail the selling of illiquid, long-term loans at less than par value. Thus, the bank might experience a market value loss because of the liquidity risk associated with financing long-term, illiquid assets (loans) with short-term, readily withdrawable liabilities (deposits).
With respect to interest rate risk in the traditional banking model, a good example occurred in the early 1980s when interest rates increased dramatically. Banks and thrift institutions found that their long-term fixed-rate loans (such as 30 year fixed-rate mortgages) became unprofitable as deposit rates rose above mortgage rates and banks earned a negative return or spread on those loans.
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