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1. Facility LGD rating model
ď Ex-post LGD - pertaining to already defaulted facilities
ď Ex-ante LGD - pertaining to standard accounts
ď Goal:
ďą Finding factors deriving bank loss
ďą Amount of losses to expect when loan do default
ďą Best fit model- Economically and Statistically
ď Dependent Variable- LGD
ďą Percentage of charge off over outstanding balance at
default for each default loan
ďą Loss derived from net charge off= Charge off- Charge
off Recovery
ďą Loss derived from cash flows= Total cash outflows- Total
cash inflows
Loss derived
from net
charge off
Loss derived
from cash
flows
=
Reduce
Discrepancies
ďś Calculation of â and β
ď â= Beta distributionâs center parameter
= Îź/Max{Îź(Max- Îź)/Max*δ2 â 1}
ď β = Beta distributionâs shape parameter
= â{Max/ Îź â 1}
ď BetaHistLGD= betadist( HistLGD, â, β ,0,1)
ď NhistLGD=norminv(BetaHistLGD,Mean,SD)
Beta Distribution
Normal Distribution
2. Independent Variable Description Impact
Dummy
Formation
Collateral Ratio
Collateral Ratio= Collateral Value at default(or 1 year before)/Outstanding Balance at
default LGD( or 1 year before) -ve
Risk Rating Based on Bankâs internal risk rating model +ve
Facility Type/ Other
facility Term Loan , Fixed Loan
Dummy
Variable
Industry Type
Dummy
Variable
Seniority of Loan Senior , Junior -ve
Dummy
Variable
GDP Growth Rate Percentage change from previous year
Revenue -ve
Firm Size -ve
Covenant Structure No covenant, Weak Covenant, Tight Covenant
Dummy
Variable
Current Ratio +ve
Leverage Total Debt/ Capital at default +ve
Default Reason Systematic/ Idiosyncratic
Dummy
Variable
Compromised & Settled -ve
Location Central, North, South Region
Dummy
Variable
Balance Outstanding Balance at default/ one year before default +ve
Independent Variable and its impact on LGD Estimation
3. Validation
ď R^2
ď Exploatory Power of the model- F Test, Chi-Square test
ď Mean Square Error Test
ď Out of sample and out of time Technique
ď Satisfy Basel II / III Requirements.
ď No black-box components
LGD model form:
LGD=â+β1X1+ β2X2 + β3X3+âŚâŚ..+ βkXk
Model 3 final adjustment:
Discounted LGD=1-(RR Ă e-r ĂT)
T- No. of recovery year
R- risk free rate+ spread
Loss Given Default (LGD) Facility Grade
0% 1
1â15% 2
16â30% 3
31â45% 4
46â60% 5
61â75% 6
76â100% 7
Facility Grading System