1 Dr. Edward Altman NYU Stern School of Business Current Conditions in Global Credit Markets Credit Risk Seminar SF/No.CA CFA/TMA San Francisco, CA October.

Slides:



Advertisements
Similar presentations
Bennie D Waller, Longwood University Personal Finance Bennie Waller Longwood University 201 High Street Farmville, VA.
Advertisements

CHAPTER 7 Money Markets. Copyright© 2003 John Wiley and Sons, Inc. Overview of the Money Market Short-term debt market -- most under 120 days. A few high.
McGraw-Hill/Irwin © 2008 The McGraw-Hill Companies, Inc., All Rights Reserved. Asset Classes and Financial Instruments CHAPTER 2.
November 2007 Overview of Collateralized Loan Obligations.
Chapter 1 Introduction to Bond Markets. Intro to Fixed Income Markets What is a bond? A bond is simply a loan, but in the form of a security. The issuer.
1 111 Dr. Edward Altman NYU Stern School of Business Corporate & Sovereign Credit Market Outlook 2014 Luncheon Conference TMA, NY Chapter New York January.
U.S. Syndicated Loan Market Review
8.1 Credit Risk Lecture n Credit Ratings In the S&P rating system AAA is the best rating. After that comes AA, A, BBB, BB, B, and CCC The corresponding.
Credit Risk: Estimating Default Probabilities
The Borrowing Mix 02/21/08 Ch What is the Borrowing Mix? The Borrowing Mix The funds used to finance the operations and the sources of the funds.
Objectives Understand the basic concept and sources of capital associated with the cost of capital. Explain what is meant by the marginal cost of capital.
Financial Stability Report 2007:2 4 December 2007.
Chapter 7. Valuation and Characteristics of Bonds.
Bond Pricing Portfolio Management. Styles of Bond Funds Bond funds are usually divided along the dimension of the two major risks that bond holders face.
Bond Prices and Yields Chapter 14. Face or par value Coupon rate - Zero coupon bond Compounding and payments - Accrued Interest Indenture Bond Characteristics.
Lecture No.14 Chapter 4 Contemporary Engineering Economics Copyright © 2010 Contemporary Engineering Economics, 5th edition, © 2010.
Copyright © 2003 McGraw Hill Ryerson Limited 4-1 prepared by: Carol Edwards BA, MBA, CFA Instructor, Finance British Columbia Institute of Technology Fundamentals.
Risk and Return Intro Returns HPR CAGR YTM, RCYTM APR and APY DY
BOND PRICES AND INTEREST RATE RISK
Ch 5. Bond and their Valuation. 1. Goals To discuss the types of bonds To understand the terms of bonds To understand the types of risks to issuers and.
NYU Stern School of Business
INVESTMENTS | BODIE, KANE, MARCUS Chapter Fourteen Bond Prices and Yields Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction.
7-1 CHAPTER 7 Bonds and Their Valuation Key features of bonds Bond valuation Measuring yield Assessing risk.
Chapter 7 Bonds and their valuation
Bond Prices and Yields. Objectives: 1.Analyze the relationship between bond prices and bond yields. 2.Calculate how bond prices will change over time.
Defaulted Bond & Bank Loan Markets and Outlook
Testimony Before the ABI Chapter 11 Reform Commission Field Hearing 17 th Annual LSTA Conference New York October 17, 2012 Ted Basta SVP, Analysis and.
November, 2007 An Introduction to the Senior Loan Asset Class.
(c) 2001 Contemporary Engineering Economics1 Discount Rate to be Used in Project Analysis ECON 320 Engineering Economics Mahmut.
The Application of the Present Value Concept
T. Rowe Price, Invest With Confidence and the Bighorn Sheep logo is a registered trademark of T. Rowe Price Group, Inc. Bank Loan Environment November.
CHAPTER 7 Money Markets. Copyright© 2003 John Wiley and Sons, Inc. Overview of the Money Market Short-term debt market - most under 120 days. A few high.
6 Analysis of Risk and Return ©2006 Thomson/South-Western.
Bond Prices Over Time Yield to Maturity versus Holding Period Return (HPR) Yield to maturity measures average RoR if investment held until bond.
Certificate for Introduction to Securities & Investment (Cert.ISI) Unit 1  Corporate bonds  Commercial paper  Role of the credit rating agencies  Investment.
Chapter McGraw-Hill/Irwin Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. Cost of Capital 11.
Dr. Edward Altman NYU Stern School of Business Defaults and Returns in the Corporate Bond Market and the Outlook for Defaults and the Distressed Debt Market.
Chapter 1. Sovereign debt Percentage of GDP Sources: Reuters EcoWin and IMFChart 1:1.
7-1 CHAPTER 7 Bonds and Their Valuation Key features of bonds Bond valuation Measuring yield Assessing risk.
Chapter 24 Principles of Corporate Finance Eighth Edition Credit Risk Slides by Matthew Will Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights.
CHAPTER 3 Structure of Interest Rates © 2003 South-Western/Thomson Learning.
Investments, 8 th edition Bodie, Kane and Marcus Slides by Susan Hine McGraw-Hill/Irwin Copyright © 2009 by The McGraw-Hill Companies, Inc. All rights.
Chapter 2 Financial Securities. McGraw-Hill/Irwin © 2004 The McGraw-Hill Companies, Inc., All Rights Reserved. Classes of Financial Assets Financial assets.
© 2010 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible Web site, in whole or in part.
Financial Markets, Instruments, and Market Makers Chapter 3 © 2003 South-Western/Thomson Learning.
Long-Term Liabilities: Bonds and Notes 12.
Copyright © 2009 Pearson Prentice Hall. All rights reserved. Chapter 6 Interest Rates And Bond Valuation.
Chapter 12 Long-Term Liabilities
INVESTMENT ALTERNATIVES. Assignment due on next lecture CHAPTER (1) : 1, 2, 5 and 13 CHAPTER (1) : 1, 2, 5 and 13 CHAPTER (2) : 1, 4, 12 and 26 (Questions)
1 111 Dr. Edward Altman NYU Stern School of Business Are We Nearing the End of the Benign Credit Cycle & Is a Bubble Building In Credit? CIFR Seminar MacQuarie.
1 Chapter 06 Understanding Financial Markets and Institutions McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.
NYU Stern School of Business
Chapter 12 Estimating the Cost of Capital. Copyright ©2014 Pearson Education, Inc. All rights reserved The Equity Cost of Capital The Capital.
Managing Money 4.
Ch 6: Bonds & Bond Valuation Learning Goals 1.Describe bond characteristics. 2.Apply the basic valuation model to bonds. 3. Understand the impact of changing.
Chapter 6 Bonds (Debt) - Characteristics and Valuation 1.
CHAPTER 5 CREDIT RISK 1. Chapter Focus Distinguishing credit risk from market risk Credit policy and credit risk Credit risk assessment framework Inputs.
Chapter 6 Measuring and Calculating Interest Rates and Financial Asset Prices.
NYU Stern School of Business
Presentation to the JSLA Don Pollard, Chairman of the LSTA NOVEMBER 2004 THESE MATERIALS MAY NOT BE USED OR RELIED UPON FOR ANY PURPOSE OTHER THAN AS SPECIFICALLY.
Chapter Seven The Money and Bond Markets. The Rate of Interest Factors affecting the rate of interest include: Risk Maturity Expectations Liquidity Supply.
Central Bank of Egypt Financial Risk Management Financial Risk Management.
Securities Analyst Program
Chapter Fourteen Bond Prices and Yields
Prof Ian Giddy Stern School of Business New York University
Chapter 9 Debt Valuation
Asset Classes and Financial Instruments
CHAPTER 10 Bond Prices and Yields.
Topic 4: Bond Prices and Yields Larry Schrenk, Instructor
Credit Risk Bond rating agencies Bond rating categories
Presentation transcript:

1 Dr. Edward Altman NYU Stern School of Business Current Conditions in Global Credit Markets Credit Risk Seminar SF/No.CA CFA/TMA San Francisco, CA October 17, 2008 A Tale of Three Periods

2 Changes in the Credit Environment: Are Historical Default and Recovery Estimates Still Relevant? Default and Recovery Forecasting Models  Macro-Economic Models: Default Probabilities  Mortality Rate Models: Default Probabilities  Market Based Models: Default Probabilities  Recovery Rate Models: Loss-Given-Default  Distressed Debt Market Size Estimate

3 Factors Affecting the Transformation of Credit Markets in Last Few Years Massive Global Liquidity –Petrodollars, Foreign Governments, Financial Institutions, Global Money Supply Expansion, etc. Explosion of Hedge Fund Activity Frenetic Activity in M&A/LBO transactions Growth of the Institutional Loan Market, esp. Leveraged Loans Easy Credit Standards by both Bank and Non-Bank Lenders Record Low Required Yield Spreads in a Higher Credit Risk Profile Environment until June ‘07 –Second-Half 2007 Spread Volatility

4 Factors Affecting the Transformation of Credit Markets in Last Few Years Rapid Growth in Derivatives and Synthetics, esp. CDOs Rescue Financings Restructurings (Privatization of Bankruptcy) Distressed Debt Control Investing (Loan-to-Own) Historically Low Default Rates and High Recoveries Extremely Low Equity and Debt Volatility until Summer ‘07 Recession in 2008/2009? –Hard Landing Default Rate –Soft Landing Default Rate

5 Major Agencies Bond Rating Categories

– 2008 (1H) (Mid-year US$ billions) Size of the US High-Yield Bond Market $1,093

7 Par ValuePar ValueDefault YearOutstanding a DefaultsRates (%) 2007 $1,075,400 $5, $993,600 $7, $1,073,000 $36, $933,100 $11, $825,000 $38, $757,000 $96, $649,000 $63, $597,200 $30, $567,400 $23, $465,500$7, $335,400$4, $271,000$3, $240,000$4, $235,000$3, $206,907$2, $163,000$5, $183,600 $18, $181,000 $18, $189,258$8, $148,187$3, $129,557$7, $90,243$3, $58,088$ $40,939$ $27,492$ * Weighted by par value of amount outstanding for each year. Source: Author’s compilation and Citigroup estimates 2008 (3Q) $1,092,624 $22, % Straight Bonds Only Excluding Defaulted Issues From Par Value Outstanding, 1971 – 2008 (3Q - Preliminary) (US$ millions) Historical Default Rates Par ValuePar ValueDefault YearOutstanding a DefaultsRates (%) 1982$18,109$ $17,115$ $14,935$ $10,356$ $8,946$ $8,157$ $7,735$ $7,471$ $10,894$ $7,824$ $6,928$ $6,602$ Standard Deviation (%) Arithmetic Average Default Rate 1971 to % 3.061% 1978 to %3.272% 1985 to % 3.435% Weighted Average Default Rate* 1971 to % 1978 to % 1985 to % Median Annual Default Rate 1971 to %

8 Historical Default Rates QUARTERLY DEFAULT RATE AND FOUR QUARTER MOVING AVERAGE 1991 – 2008 (3Q - Preliminary) Source: Author’s Compilations

9 Lagging Twelve-Month Leveraged Loan Default Rate by Principal Amount & Number of Issuers Default rate is calculated as the amount default over the last twelve months divided by the amount outstanding at the beginning of the twelve-month period. Source: S&P LCD 1.91% 3.32% September 30

10 Historical Default Rates and Recession Periods in the U.S. Periods of Recession: 11/73 - 3/75, 1/80 - 7/80, 7/ /82, 7/90 - 3/91, 4/01 – 12/01 *All annual rates except 2008 (9 months). Source: E. Altman (NYU Salomon Center) & National Bureau of Economic Research HIGH YIELD BOND MARKET 1972 – 2008 (3Q - Preliminary)*

11 Rating Distributions Prior To Recessions (Percent of Issuers, Moody’s) Subsequent Default Rates By Rating Category /09 Results* 1991|2001 Scenarios Ba12%1%2% | 1% Ba20%2%0% | 2% Ba310%3%10% | 3% B16%4%6% | 4% B213%10%13% | 10% B328%17%28% | 17% Caa37%34%37% | 34% H.Y. Default Rate11.0%10.6%16.0% | 8.0% *Moody’s Issuer Based Default Rate Source: M. Friedson: Distressed Debt Investor (September 28, 2006, April 17, 2008) Ba54%32%29%38% B44%54%57%37% Caa2%14% 25%

12 Filings for Chapter 11 Number of Filings and Pre-petition Liabilities of Public Companies 1989 – 2008 (3Q - Preliminary) Note: Minimum $100 million in liabilities Source: NYU Salomon Center Bankruptcy Filings Database

13 Credit Statistics Trends and Leveraged Market Activity

14 New Issues Rated B- or Below as Percentage of all New Issues (1993 – 2008 (1H)) Source: Standard & Poor’s Global Fixed Income Research

15 Source: Altman Mortality Tables ( ) Default Lag After Issuance: ‘B’ & ‘CCC’ Rated Corporate Bonds

16 Below Investment Grade Debt Maturity Schedule (U.S.) ($Bil.) Includes Term Loans, Revolvers, and Other Loans; Assumes Revolvers are Fully Drawn. Source: DealLogic, Fitch Ratings.

17 A Credit Default Analysis of LBOs (2004 – 2007)

18 Source: Standard and Poor’s LCD Purchase Price Multiple excluding Fees for LBO Transactions Purchase Price Multiples 13 Deals59 Deals

19 Average Total Debt Leverage Ratio for LBO’s: Europe and US with EBITDA of €/$50M or More Source: Standard & Poor’s LCD

20 Average Equity Contribution to Leveraged Buyouts 1987 – 2008 (3Q) Equity includes common equity and preferred stock as well as holding company debt and seller note proceeds downstreamed to the operating company as common equity; Rollover Equity prior to 1996 is not available; There were too few deals in 1991 to form a meaningful sample. Source: Standard & Poor’s LCD

21 European Initial/Secondary Buyouts: Volume * Deal Count counts First and Second Lien portions of a single transaction as one event; Deal Count also excludes any amendments. Reflects total sources of funding of initial or secondary buyout by a private equity firm (excludes recaps, refinancings, etc) Annual Senior Loan VolumeLBO Transaction Volume Source: Standard & Poor’s LCD Deal Count: 75 Volume: €33.43B 2008 (Jan-Sep 08) Total Funding from All Sources : €71.59B; €41.25B Funded Sr., €30.34B Other Sources

22 Vulnerable LBOs as of LTM in 2007: Class of 2004 to 2007 LBOs (As of June 2008) Source: Author’s Compilation

23 Recovery Rate Analysis

24 Default Rates and Losses a 1978 – 2008 (3Q - Preliminary) Par Value Outstanding a Of Default Default Weighted PriceWeightedDefault Year ($MM)($MMs)Rate (%)After DefaultCoupon (%)Loss (%) 2008 (3Q) $1,092,624$22, $ $1,075,400$5, $ $993,600$7, $ $1,073,000$36, $ $933,100$11, $ $825,000$ 38, $ $757,000$96, $ $649,000$63, $ $597,200$30, $ $567,400$23, $ $465,500$7, $ $335,400$4, $ $271,000$3, $ $240,000$4, $ $235,000$3, $ $206,907$2, $ $163,000$5, $ $183,600$18, $ $181,000$18, $ $189,258$8, $ $148,187$3, $ $129,557$7, $ $90,243$3, $ $58,088$ $ $40,939$ $ $27,492$ $ $18,109$ $ $17,115$270.16$ $14,935$ $ $10,356$200.19$ $8,946$ $ Arithmetic Average :3.37$ Weighted Average : a Excludes defaulted issues. Source: Authors’ compilations and various dealer price quotes.

25 Source: E. Altman, et. al., “The Link Between Default and Recovery Rates”, NYU Salomon Center, S-03-4.

(5.68)14.45(20.13) (8.41) (8.73) (1.18) (2.55)(8.29) (8.46)6.88(15.34) (14.74) (2.67) (7.58) (5.46) (6.32) (9.63) (1.00)(2.96) (0.86) (1.11) Arithmetic Annual Average Compound Annual Average a End-of-year yields. Source: Citigroup’s High Yield Composite Index 2008 (3Q) (10.51) 4.51 (15.02) (7.95) (1.53) (16.19) Annual Returns Yields and Spreads on 10-Year Treasury (Treas) and High Yield (HY) Bonds 1978 – 2008 (3Q) Return (%)Promised Yield (%) a YearHYTreasSpreadHYTreasSpread

27 YTM Spread Between High Yield Markets & 10 Year Treasury Notes June 01, 2007 – September 30, 2008 Source: Citigroup Yieldbook Index Data 6/12/07 (260 bps) 9/30/08 (1,038 bps) 6/30/08 (715 bps)

28 Size of Distressed Debt Market

29 (a) Defined as yield-to-maturity spread greater than or equal to 1000bp over comparable Treasuries. (b) $1.227 trillion as of 9/30/2008 Note: Some years not available as no survey results available Source: NYU Salomon Center Distressed a And Defaulted Debt as a Percentage of High Yield And Defaulted Debt Markets b (Not Including LEH Bond Defaults) 1990 – 2008 (3Q - Preliminary)

30 (a) Defined as yield-to-maturity spread greater than or equal to 1000bp over comparable Treasuries. (b) $1.382 trillion as of 9/30/2008 (c) $155 billion Note: Some years not available as no survey results available Source: NYU Salomon Center Distressed a And Defaulted Debt as a Percentage of High Yield And Defaulted Debt Markets b (Including LEH Bond Defaults c ) ( 1990 – 2008 (3Q - Preliminary)

31 Estimated Face And Market Values Of Defaulted And Distressed Debt ($ Billions) (Not Including LEH Bond Defaults) (3Q - Preliminary)

32 Estimated Face And Market Values Of Defaulted And Distressed Debt ($ Billions) (Including LEH Bond Defaults) (3Q - Preliminary)

33 Size Of The US Defaulted And Distressed Debt Market ($ Billions) (Not Including LEH Bond Defaults) 1990 – 2008 (3Q - Preliminary) Source: Author’s Compilations

34 Size Of The US Defaulted And Distressed Debt Market ($ Billions) (Including LEH Bond Defaults) 1990 – 2008 (3Q - Preliminary) Source: Author’s Compilations

35 Returns and Correlations of the Defaulted Debt Markets

36 Defaulted Debt Indexes: Market-to-Face Value Ratios (1987 – 2008 (9/30) Source: Altman-NYU Salomon Center Defaulted Debt Indexes Loans Median Market-to-Face value is 0.67 and Average Market-to-Face value is 0.68 Bonds Median Market-to-Face value is 0.46 and Average Market-to-Face value is 0.42

37

38 Regression (Correlation) Analysis of Defaulted Bond Returns vs. Default Rates Defaulted Bonds (t+1) = (Default Rate (t)) Correlation (y/x) = 58.0% R 2 test = 33.6% t-test = 3.01 (.05 level) Defaulted Bonds (t+2) = (Default Rate (t)) Correlation (y/x) = 44.0% R 2 = 19.4% t-test = 2.04 (.05 level) Defaulted Bonds (t) = (Default Rate (t)) Correlation (y/x) = 0.0% R 2 = 0.0% t-test = 0.02 (not significant)

39

40 Regression (Correlation) Analysis of Defaulted Loan Returns vs. Default Rates Defaulted Loans (t+1) = (Default Rate (t)) Correlation (y/x) = 66.0% R 2 test = 43.6% t-test = 2.48 (.05 level) Defaulted Loans (t+2) = (Default Rate (t)) Correlation (y/x) = 69.8% R 2 = 48.6% t-test = 2.57 (.05 level) Defaulted Loans (t) = (Default Rate (t)) Correlation (y/x) = 18.5% R 2 = 3.3% t-test = 0.02 (not significant)

41

42 Regression (Correlation) Analysis of Combined Index Returns vs. Default Rates Combined Index (t+1) = (Default Rate (t)) Correlation (y/x) = 59.8% R 2 test = 35.8% t-test = 2.36 (.05 level) Combined Index (t+2) = (Default Rate (t)) Correlation (y/x) = 57.5% R 2 = 33.0% t-test = 2.10 (.05 level) Combined Index (t) = (Default Rate (t)) Correlation (y/x) = 0.0% R 2 = 0.0% t-test = 0.02 (not significant)

43 CORRELATION OF ALTMAN NYU-SALOMON CENTER INDEXES OF DEFAULTED BONDS WITH OTHER SECURITIES INDEXES 1987 – 2008 (June 30 th ) Correlation of Altman Bond Index Monthly Returns

44 CORRELATION OF ALTMAN NYU-SALOMON CENTER INDEXES OF DEFAULTED LOANS WITH OTHER SECURITIES INDEXES 1996 – 2008 (June 30 th ) Correlation of Altman Indices Monthly Returns

45 U.S. Distressed Debt Managers (September 2008)

46 U.S. Distressed Debt Managers (September 2008)

47 U.S. Distressed Debt Managers (September 2008)

48 U.S. Distressed Funds with European Offices European Distressed Debt Managers (Home Grown)

49 Distressed Active/Control Investors

50 Investment Styles and Target Returns in Distressed Debt Investing

51 Forecasting Default and Recovery Rates

52 Forecasting Defaults and the Default Rate MODEL DRIVERS Mortality Rate Estimates: = f {bond rating, age, redemptions, defaults} Historical New Issuance over last 10 years by credit quality Bond-ratings Z-score Bond-equivalent ratings New Defaults and Default Rate in 2007 Estimate high yield market growth in 2008 New Defaults and Default Rate in 2008, 2009

53 Marginal and Cumulative Mortality Rate Equation One can measure the cumulative mortality rate (CMR) over a specific time period (1,2,…, T years) by subtracting the product of the surviving populations of each of the previous years from one (1.0), that is, MMR (t) = Total value of defaulting debt in year (t) total value of the population at the start of the year (t) MMR = Marginal Mortality Rate CMR (t) = 1 -  SR (t), t = 1 hereCMR (t) = Cumulative Mortality Rate in (t), SR (t) = Survival Rate in (t), 1 - MMR (t)

54 Mortality Rate Concept (Illustrative Calculation) For BB Rated Issues SecurityIssuedYear 1Year 2 No.AmountDefaultCallSFDefaultCallSF NENENE NENENE Total1, Amount Start of 1, , Period ---=---= Year 1Year 2 Marginal Mortality50/1,500 = 3.3%100/1,325 = 7.5% Rate 1 - (SR1 x SR2 ) = CMR2 Cumulative Rate3.3%1 - (96.7% x 92.5%) = 10.55% NE = No longer in existence SF = Sinking fund

55 All Rated Corporate Bonds* Mortality Rates by Original Rating *Rated by S&P at Issuance Based on 1,990 issues Source: Standard & Poor's (New York) and Author's Compilation

56 All Rated Corporate Bonds* Mortality Losses by Original Rating *Rated by S&P at Issuance Based on 1,805 issues Source: Standard & Poor's (New York) and Author's Compilation

57 Forecasts of Default and Recovery Rates in the High-Yield Bond Market YearDefault Rate Default Amount ($ billion) Recovery Rate* 2007 (Forecast)2.50%$ % 2007 (Actual)0.51%$ % 2008 (Forecast)4.64%$ % 2009 (Forecast)5.05%$ % Source: Mortality Rates (Slide 53), All Corporate Bond Issuance and Authors’ Estimates of Market Size in 2008 and *Based on the log-linear default rate/recovery rate regression (Slide 29).

58 Predicting Default Rates Market Based Measures

59 Default Rate[t+1] Versus Yield Spread[t] Regression equation: Default Rate = * Spread Predictor Coef SE Coef T test P value Constant Spread R-Sq = 69.4% R-Sq(adj) = 68.3% Forecast Results Applying Yield spread (06/12/2007) of 260 bps, P D = *2.60 = 0.364% Applying Yield spread (12/31/2007) of 566 bps, P D = *5.66 = 4.617% Applying Yield spread (09/30/2008) of 1,038 bps, P D = *10.38 = % Compare with Prediction based on Mortality Rate Approach (4.64%) Dollar Denominated (Altman) Default Rate Forecasts Sources: Authors’ calculations: Data from E. Altman, NYU Salomon Center and Citi Yield Book

60 Default Rate[t+1] Versus Distress Ratio*[t] Regression equation: Default Rate = * Distress Ratio Predictor Coef SE Coef T test P value Constant Distress Ratio R-Sq = 65.1% R-Sq(adj) = 62.8% Forecast Results Applying Distress Ratio (06/30/2007) of 1.20%, P D = * 1.20 = 1.031% Applying Distress Ratio (12/31/2007) of 10.42%, P D = *10.42 = 2.820% Applying Distress Ratio (09/30/2008) of 40.20%, P D = *40.20 = 8.569% Compare with Prediction based on Mortality Rate Approach (4.64%) Dollar Denominated (Altman) Default Rate Forecasts *Proportion of High-Yield Bonds yielding at least 1,000bp over 10-year Treasury Bonds Sources: Authors’ calculations: Data from E. Altman, NYU Salomon Center with Distress Ratio data from Merrill Lynch & Co.

61 Default Rate[t+1] Versus Yield Spread[t] and Distress Ratio*[t] Regression equation: Default Rate = * Spread * Distress Ratio Predictor Coef SE Coef T test P value Constant Spread Distress Ratio R-Sq = 70.0% R-Sq(adj) = 65.7% Correlation Between Yield Spread and Distress Ratio: R-Sq = 93.8% Correlation = 96.0% Forecast Results Applying Yield Spread and Distress Ratio (06/12/2007) of 260 bps and 1.20%, P D = *2.60 – 0.012* 1.20 = 0.440% Applying Yield Spread and Distress Ratio (12/31/2007) of 566 bps and 10.42%, P D = *5.66 – 0.012*10.42 = 4.582% Applying Yield Spread and Distress Ratio (09/30/2008) of 1,038 bps and 40.20%, P D = *10.38 – 0.012*40.20 = % Compare with Prediction based on Mortality Rate Approach (4.64%) Dollar Denominated (Altman) Default Rate Forecasts *Proportion of High-Yield Bonds yielding at least 1,000bp over 10-year Treasury Bonds Sources: Authors’ calculations: Data from E. Altman, NYU Salomon Center, Citi Yield Book and Distress Ratio data from Merrill Lynch & Co.

62 Issuer Default Rate[t+1] Versus Yield Spread[t] Regression equation: Issuer Default Rate (t+1) = Yield Spread (t) Predictor Coef SE Coef T test P value Constant Yield Spread (t) R-Sq = 75.3% R-Sq(adj) = 73.8% Forecast Results Applying Yield spread (06/12/2007) of 260 bps, P D = *2.60 = 1.914% Applying Yield spread (12/31/2007) of 566 bps, P D = *5.66 = 5.554% Applying Yield spread (09/30/2008) of 1,038 bps, P D = *10.38 = % Compare with Prediction based on Mortality Rate Approach (4.64%) Issuer Denominated (Moody's) Default Rate Forecasts Sources: Authors’ calculations: Data from Moody’s Investor Services and Citi Yield Book

63 Issuer Default Rate[t+1] Versus Distress Ratio*[t] Regression equation: Issuer Default Rate (t+1) = Distress Ratio (t) Predictor Coef SE Coef T test P value Constant Distress Ratio (t) R-Sq = 80.0% R-Sq(adj) = 78.7% Forecast Results Applying Distress Ratio (06/30/2007) of 1.20%, P D = * 1.20 = 2.193% Applying Distress Ratio (12/31/2007) of 10.42%, P D = *10.42 = 3.751% Applying Distress Ratio (09/30/2008) of 40.20%, P D = *40.20 = 8.783% Compare with Prediction based on Mortality Rate Approach (4.64%) Issuer Denominated (Moody's) Default Rate Forecasts Sources: Authors’ calculations: Data from Moody’s Investor Services and Distress Ratio data from Merrill Lynch & Co. *Proportion of High-Yield Bonds yielding at least 1,000bp over 10-year Treasury Bonds

64 Issuer Default Rate[t+1] Versus Yield Spread[t] and Distress Ratio*[t] Regression equation: Issuer Default Rate (t+1) = Yield Spread (t) Distress Ratio (t) Predictor Coef SE Coef T test P value Constant Yield Spread (t) Distress Ratio (t) R-Sq = 81.8% R-Sq(adj) = 79.2% Forecast Results Applying Yield Spread and Distress Ratio (06/12/2007) of 260 bps and 1.20%, P D = * * 1.20 = 1.912% Applying Yield Spread and Distress Ratio (12/31/2007) of 566 bps and 10.42%, P D = * *10.42 = 4.593% Applying Yield Spread and Distress Ratio (09/30/2008) of 1,038 bps and 40.20%, P D = * *40.20 = 9.847% Compare with Prediction based on Mortality Rate Approach (4.64%) Issuer Denominated (Moody's) Default Rate Forecasts *Proportion of High-Yield Bonds yielding at least 1,000bp over 10-year Treasury Bonds Sources: Authors’ calculations: Data from Moody’s Investor Services, Citi Yield Book and Distress Ratio data from Merrill Lynch & Co.