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Understanding and Predicting  Ultimate Loss-Given-Default  on Bonds and Loans   Michael Jacobs, Ph.D., CFA Senior Financial Economist – Credit Risk Modeling Risk Analysis Division Washington, DC 20219 Presentation to the FMA Annual Meeting 10/19/07 [email_address] The views expressed herein are solely those of the author and do not reflect necessarily the policies or procedures of the Office of the Comptroller of the Currency or of the US Department of the Treasury.  Comptroller of the Currency Administrator of National Banks
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Motivation ,[object Object],[object Object],[object Object],[object Object],[object Object]
Background and Measurement Issues ,[object Object],[object Object],[object Object],[object Object],[object Object]
Background and Measurement Issues  (continued) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Synopsis and Major Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Synopsis and Major Conclusions  (continued) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Synopsis and Major Conclusions  (continued) ,[object Object],[object Object],[object Object],[object Object]
Literature Review: Theoretical Models ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Literature Review: Empirical Studies ,[object Object],[object Object],[object Object],[object Object],[object Object]
Literature Review: Empirical Studies  (continued) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Econometric Modeling of LGD I – Beta Link Generalized Linear Model (BLGLM) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Econometric Modeling of LGD II – Kullback-Liebler Relative Entropy (KLRE) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Econometric Modeling of LGD III – Beta Kernel Conditional Density Estimation (BKDE) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measures of Model Performance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Database of Defaulted Loans and Bonds
Table 1 - Characteristics of LGD Observations by Default Type and Availability of Financial Statement Data (S&P and Moody's Rated Defaults 1985-2006)
Table 1 - Characteristics of  LGD Observations: Discussion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Figure 1 - Distribution LGD:  Instrument vs. Obligor ,[object Object],[object Object]
Figure 1 - Distribution LGD:  Instrument vs. Obligor  (continued) ,[object Object],[object Object]
Table 2 - LGD, Dollar Loss, Duration and Court Filing of Defaulted Instruments and Obligors by Cohort Year (S&P and Moody's Rated Defaults 1985-2006)
Table 2 - LGD By Cohort Year: Discussion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Figure 2.2 – Evidence of Downturn LGD I (Distributions of All Instruments) ,[object Object],Figure 2.2: Discounted Instrument LGD by Economic Downturn vs. Expansion (S&P & Moody's Rated Firms 1885-2006) 0 0.05 0.1 0.15 0.2 0.25 -1.2 -1.1 -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.1 -0.1 -0 0.02 0.07 0.13 0.17 0.21 0.24 0.29 0.34 0.39 0.43 0.47 0.51 0.56 0.62 0.66 0.7 0.74 0.78 0.84 0.89 0.92 0.96 LGD Frequency Downturn Expansion
Figure 2.3 – Evidence of Downturn LGD II (Distributions of Unsecured Instruments) ,[object Object],[object Object]
Figure 2.4 – Evidence of Downturn LGD III (Distributions of Secured Instruments) ,[object Object]
Figure 2.5 – Evidence of Downturn LGD IV (Distributions of Obligors) ,[object Object],[object Object]
Table 3 - LGD By Industry ,[object Object],[object Object],[object Object],[object Object],[object Object]
Table 4 - LGD By Seniority and Collateral ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Table 5 – Other Variables and Correlations with LGD ,[object Object]
Full-Information Maximum Likelihood  (FIML) Simultaneous Equation Estimation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation Estimation  – Table of Results (Estimation) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation Estimation  – Discussion of Results ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation  Estimation – Discussion (Continued)  Comparison to Single Equation Estimation – Cyclical / Legal ,[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation  Estimation – Discussion (Continued)  Comparison to Single Equation Estimation - Financial ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation  Estimation – Discussion (Continued)  Comparison to Single Equation Estimation – Loan Structure ,[object Object],[object Object],[object Object],[object Object],[object Object]
FIML Simultaneous Equation  Estimation – Discussion (Continued)  Comparison to Single Equation Estimation – Capital Structure ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Model Performance Comparison:  BLGLM Single vs. FIML 2-Equation ,[object Object]
Model Performance Comparison:  BLGLM Single vs. FIML 2-Equation  (cont’d)
Model Performance Comparison:  BLGLM Single vs. FIML 2-Equation  (cont’d)
Model Performance Comparison:  BLGLM Single vs. FIML 2-Equation  (cont’d) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Summary and Directions for  Future Research ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Understanding and Predicting Ultimate Loss-Given-Default on Bonds and Loans

  • 1. Understanding and Predicting Ultimate Loss-Given-Default on Bonds and Loans Michael Jacobs, Ph.D., CFA Senior Financial Economist – Credit Risk Modeling Risk Analysis Division Washington, DC 20219 Presentation to the FMA Annual Meeting 10/19/07 [email_address] The views expressed herein are solely those of the author and do not reflect necessarily the policies or procedures of the Office of the Comptroller of the Currency or of the US Department of the Treasury. Comptroller of the Currency Administrator of National Banks
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  • 17. Table 1 - Characteristics of LGD Observations by Default Type and Availability of Financial Statement Data (S&P and Moody's Rated Defaults 1985-2006)
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  • 21. Table 2 - LGD, Dollar Loss, Duration and Court Filing of Defaulted Instruments and Obligors by Cohort Year (S&P and Moody's Rated Defaults 1985-2006)
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  • 38. Model Performance Comparison: BLGLM Single vs. FIML 2-Equation (cont’d)
  • 39. Model Performance Comparison: BLGLM Single vs. FIML 2-Equation (cont’d)
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  • 41.