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Intro Data Predictive model Results Out-of-sample Conclusion
Identifying excessive credit growth
and leverage
Lucia Alessi 1 Carsten Detken2
1European Commission - Joint Research Centre
2European Central Bank
This work was carried out while Lucia Alessi was affiliated with the ECB. The views in this presentation are
those of the authors and do not necessarily reflect those of the ECB or the European Commission.
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Aim of the paper
Early warning indicators for macropru instruments targeting credit
Excessive
credit
growth
and
leverage
Macropru
instruments
(CCBs, SRB, LR,
LTV-LTI caps)
TRIGGER
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Target variable
Systemic banking crises and ‘near misses’
Banking crises dataset by Expert Group:
• based on the HoR database compiled by the MaRs
• amended in order to include:
1. only systemic banking crises associated with a domestic
credit/financial cycle
2. periods in which in the absence of policy action or of an
external event that dampened the credit cycle a crisis as in
1. would likely have occurred
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Target variable
AT eeeeeeeeeeeeeeeeeeee
BE eeeeeeeeeeeeeeeeeeee
CY pppppppppppppppppeeeccccccc
DK pppppppppppppppppeeecccccccccccccccccccccccccccc pppppppppppppppppeeecccccccccccccccccccccc
EE pppppppppppppppppeeeccc eeeeeeeeeeeeeeeeeeee
FI pppppppppppppppppeeecccccccccccccccccc eeeeeeeeeeeeeeeeeeee
FR pppppppppppppppppeeecccccccccc pppppppppppppppppeeecccccccccccccccccccccc
DE pppppppppppppppppeeecccccccccccccccc eeeeeeeeeeeeeeeeeeee
GR pppppppppppppppppeeecccccccccccccccccccccccc
IE pppppppppppppppppeeecccccccccccccccccccccc
IT pppppppppppppppppeeecccccccc eeeeeeeeeeeeeeeeeeee
LV pppppppppppppppppeeecccccccceeeeeeeeeeeee
LU eeeeeeeeeeeeeeeeeeee
MT eeeeeeeeeeeeeeeeeeee
NL pppppppppppppppppeeeccccccpppppppppppppppppeeecccccccccccccccccccccc
PT pppppppppppppppppeeeccccc pppppppppppppppppeeeccccccccccccccccccccc
SK eeeeeeeeeeeeeeeeeeee
SI pppppppppppppppppeeecccccccccccc pppppppppppppppppeeecccccccccccccccccccccccc
ES pppppppppppppppppeeeccccccccccccccccccccccccccccccc pppppppppppppppppeeeccccccccccccccccccc
SE pppppppppppppppppeeecccccccccccccc pppppppppppppppppeeecccccccccceeeeeeeeeeee
GB ppppppppppppeeeccccccccc pppppppppppppppppeeecccccccccccccccc pppppppppppppppppeeecccccccccccccccccccccccccc
precrisis excluded crisis
12 1306 07 08 09 10 1100 01 02 03 04 0594 95 96 97 98 9988 89 90 91 92 9382 83 84 85 86 8776 77 78 79 80 8170 71 72 73 74 75
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Early warning indicators
• Credit related indicators, based on total credit and bank
credit, credit to households and non-financial corporations,
the debt service ratio and public debt
• Real estate indicators based on residential property prices,
incl. valuation measures
• Market-based indicators such as the short and long term
interest rates and equity prices
• Macroeconomic variables such as real GDP growth, M3,
real effective exchange rate, current account
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Classification trees
Is the minimum systolic blood
pressure over the initial 24 hour
period > 91 ?
NoYes
High riskIs age > 62.5?
NoYes
Is sinus tachyardia
present?
NoYes
High risk Low risk
Low risk
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Recursive partitioning
GINI(f) =
i,j
Cijfifj
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
The Random Forest
Bootstrap and aggregation of a multitude of trees, each grown
on a randomly selected set of indicators and observations.
⇓
Robust technique
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Random forest performance
AUROC=0.94, out-of-sample missclassification=7%
0 0.2 0.4 0.6 0.8 1
0
0.2
0.4
0.6
0.8
1
False Positive Rate
TruePositiveRate
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Random Forest ranking
Key indicators
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
IndicatorImportance
Bankcredit/GDP
Globalcredit/GDPgap(400K)
HHcredit/GDP
Debtserviceratio
Globalcreditgrowth
Bankcredit/GDPgap(400K)
Houseprice/income
Broadcredit/GDP
Housepricegap(400K)
Housepricegrowth
STrate
HHDebtserviceratio
Globalcredit/GDPgap(26K)
Bankcreditgrowth
NFCcredit/GDP
Equitypricegrowth
M3gap(26K)
Baselgap
M3gap(400K)
Housepricegap(26K)
NFCDebtserviceratio
NFCcredit/GDPgap(400K)
Houseprice/rent
Gov’tdebt
Broadcreditgrowth
HHcredit/GDPgap(400K)
NFCcredit/GDPgap(26K)
LTgov’tbondyld
HHcreditgrowth
Housingloangrowth
Currentaccount
Broadcredit/GDPgap(26K)
Bankcredit/GDPgap(26K)
HHcredit/GDPgap(26K)
Effectiveexch.rate
GDPgrowth
M3growth
NFCcreditgrowth
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Early warning tree
Warning
crisis pr.= 1
7 obs.
HH credit/GDP
Bank credit/GDP
< 92
>54.5
> 92
<3.6 p.p.
Warning
crisis pr.= 0.62
63 obs. 
No warning
crisis pr.= 0
227 obs. 
No warning
crisis pr.= 0.07
375 obs.
Debt service ratio
> 10.6%
Debt service ratio
> 18%< 18%
No warning
crisis pr.= 0
18 obs.
Warning
crisis pr.= 1
5 obs.
M3 gap
< ‐0.2 p.p. > ‐0.2 p.p.
ST rate
House price 
gap
No warning
crisis pr.= 0
226 obs.
< 10.6%
< ‐0.5%
Bank credit 
growth
> 7.3%
> ‐0.5%
< 0.2 p.p. > 0.2 p.p.< 7.3%
No warning
crisis pr.= 0.25
4 obs.
Bank credit gap
>3.6 p.p. <54.5
No warning
crisis pr.= 0
12 obs. 
Warning
crisis pr.= 0.9
139 obs. 
< 8%
House price/
income
> 27 p.
> 8%
< 2 p.p. > 2 p.p.
< 27 p.
House price 
growth
Basel gap
House price/
income
> ‐3 p.< ‐3 p.
No warning
crisis pr.= 0
189 obs. 
HH credit/GDP
Equity price 
growth
> 36 %< 36 %
WarningNo warning
crisis pr.= 0.75
8 obs.
crisis pr.= 0.08
83 obs.
Bank credit/
GDP
Bank credit/
GDP
House price/
income
crisis pr.= 0.1
31 obs.
No warning
crisis pr.= 0
5 obs.
Warning Warning
WarningNo warning
< 46.7 > 46.7
> 42.4< 42.4 > 98.5< 98.5
> ‐2 p.< ‐2 p.
No warning
crisis pr.= 0.97
38 obs.
crisis pr.= 0.33
12 obs.
crisis pr.= 0.75
4 obs.
crisis pr.= 0
7 obs.
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Evaluation metrics
Crisis No Crisis
Signal A B
No signal C D
θ = 2/3
TPR A
A+C 85%
FPR (Type II error) B
B+D 4%
Type I error C
A+C 15%
N2S B
B+D)/ A
A+C 5%
Loss θ C
A+C + (1 − θ) B
B+D 0.12
Usefulness min[θ; 1 − θ] − Loss 0.22
Rel. Usefulness Usefulness
min[θ;1−θ] 0.65
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Out-of-sample exercise
Imagine you were in mid-2006
Crisis No crisis
Warning FR, IE, ES, FI, IT
SE, DK, UK
No warning GR, PT, LV, AU, BE, LU, DE,
SI, NL EE, SK, MT, CY*
*Crisis started beyond prediction horizon.
Not classified in terminal nodes owing to lack of data.
AT BE CY DK EE FI FR DE GR IE IT LV LU MT NL PT SK SI ES SE GB
2006Q3 x x x x x x x x
2006Q4 x x x x x x x x
2007Q1 x x x x x x x x
2007Q2 x x x x x x x x
2007Q3 x x x x x x x x
2007Q4 x x x x x x x x x
2008Q1 x x x x x x x x x
2008Q2 x x x x x x x x x
2008Q3 x x x x x
Alessi/Detken - Identifying excessive credit growth and leverage
Intro Data Predictive model Results Out-of-sample Conclusion
Conclusion
• The Random Forest/Early Warning methodology can
become a useful quantitative tool to:
• spur discussion on country risks
• provide information on the most appropriate policy
instrument to address identified vulnerabilities
• Additional relevant (potentially country specific) information
can be included
Alessi/Detken - Identifying excessive credit growth and leverage

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Identifying excessive credit growth and leverage

  • 1. Intro Data Predictive model Results Out-of-sample Conclusion Identifying excessive credit growth and leverage Lucia Alessi 1 Carsten Detken2 1European Commission - Joint Research Centre 2European Central Bank This work was carried out while Lucia Alessi was affiliated with the ECB. The views in this presentation are those of the authors and do not necessarily reflect those of the ECB or the European Commission. Alessi/Detken - Identifying excessive credit growth and leverage
  • 2. Intro Data Predictive model Results Out-of-sample Conclusion Aim of the paper Early warning indicators for macropru instruments targeting credit Excessive credit growth and leverage Macropru instruments (CCBs, SRB, LR, LTV-LTI caps) TRIGGER Alessi/Detken - Identifying excessive credit growth and leverage
  • 3. Intro Data Predictive model Results Out-of-sample Conclusion Target variable Systemic banking crises and ‘near misses’ Banking crises dataset by Expert Group: • based on the HoR database compiled by the MaRs • amended in order to include: 1. only systemic banking crises associated with a domestic credit/financial cycle 2. periods in which in the absence of policy action or of an external event that dampened the credit cycle a crisis as in 1. would likely have occurred Alessi/Detken - Identifying excessive credit growth and leverage
  • 4. Intro Data Predictive model Results Out-of-sample Conclusion Target variable AT eeeeeeeeeeeeeeeeeeee BE eeeeeeeeeeeeeeeeeeee CY pppppppppppppppppeeeccccccc DK pppppppppppppppppeeecccccccccccccccccccccccccccc pppppppppppppppppeeecccccccccccccccccccccc EE pppppppppppppppppeeeccc eeeeeeeeeeeeeeeeeeee FI pppppppppppppppppeeecccccccccccccccccc eeeeeeeeeeeeeeeeeeee FR pppppppppppppppppeeecccccccccc pppppppppppppppppeeecccccccccccccccccccccc DE pppppppppppppppppeeecccccccccccccccc eeeeeeeeeeeeeeeeeeee GR pppppppppppppppppeeecccccccccccccccccccccccc IE pppppppppppppppppeeecccccccccccccccccccccc IT pppppppppppppppppeeecccccccc eeeeeeeeeeeeeeeeeeee LV pppppppppppppppppeeecccccccceeeeeeeeeeeee LU eeeeeeeeeeeeeeeeeeee MT eeeeeeeeeeeeeeeeeeee NL pppppppppppppppppeeeccccccpppppppppppppppppeeecccccccccccccccccccccc PT pppppppppppppppppeeeccccc pppppppppppppppppeeeccccccccccccccccccccc SK eeeeeeeeeeeeeeeeeeee SI pppppppppppppppppeeecccccccccccc pppppppppppppppppeeecccccccccccccccccccccccc ES pppppppppppppppppeeeccccccccccccccccccccccccccccccc pppppppppppppppppeeeccccccccccccccccccc SE pppppppppppppppppeeecccccccccccccc pppppppppppppppppeeecccccccccceeeeeeeeeeee GB ppppppppppppeeeccccccccc pppppppppppppppppeeecccccccccccccccc pppppppppppppppppeeecccccccccccccccccccccccccc precrisis excluded crisis 12 1306 07 08 09 10 1100 01 02 03 04 0594 95 96 97 98 9988 89 90 91 92 9382 83 84 85 86 8776 77 78 79 80 8170 71 72 73 74 75 Alessi/Detken - Identifying excessive credit growth and leverage
  • 5. Intro Data Predictive model Results Out-of-sample Conclusion Early warning indicators • Credit related indicators, based on total credit and bank credit, credit to households and non-financial corporations, the debt service ratio and public debt • Real estate indicators based on residential property prices, incl. valuation measures • Market-based indicators such as the short and long term interest rates and equity prices • Macroeconomic variables such as real GDP growth, M3, real effective exchange rate, current account Alessi/Detken - Identifying excessive credit growth and leverage
  • 6. Intro Data Predictive model Results Out-of-sample Conclusion Classification trees Is the minimum systolic blood pressure over the initial 24 hour period > 91 ? NoYes High riskIs age > 62.5? NoYes Is sinus tachyardia present? NoYes High risk Low risk Low risk Alessi/Detken - Identifying excessive credit growth and leverage
  • 7. Intro Data Predictive model Results Out-of-sample Conclusion Recursive partitioning GINI(f) = i,j Cijfifj Alessi/Detken - Identifying excessive credit growth and leverage
  • 8. Intro Data Predictive model Results Out-of-sample Conclusion The Random Forest Bootstrap and aggregation of a multitude of trees, each grown on a randomly selected set of indicators and observations. ⇓ Robust technique Alessi/Detken - Identifying excessive credit growth and leverage
  • 9. Intro Data Predictive model Results Out-of-sample Conclusion Random forest performance AUROC=0.94, out-of-sample missclassification=7% 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 False Positive Rate TruePositiveRate Alessi/Detken - Identifying excessive credit growth and leverage
  • 10. Intro Data Predictive model Results Out-of-sample Conclusion Random Forest ranking Key indicators 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 IndicatorImportance Bankcredit/GDP Globalcredit/GDPgap(400K) HHcredit/GDP Debtserviceratio Globalcreditgrowth Bankcredit/GDPgap(400K) Houseprice/income Broadcredit/GDP Housepricegap(400K) Housepricegrowth STrate HHDebtserviceratio Globalcredit/GDPgap(26K) Bankcreditgrowth NFCcredit/GDP Equitypricegrowth M3gap(26K) Baselgap M3gap(400K) Housepricegap(26K) NFCDebtserviceratio NFCcredit/GDPgap(400K) Houseprice/rent Gov’tdebt Broadcreditgrowth HHcredit/GDPgap(400K) NFCcredit/GDPgap(26K) LTgov’tbondyld HHcreditgrowth Housingloangrowth Currentaccount Broadcredit/GDPgap(26K) Bankcredit/GDPgap(26K) HHcredit/GDPgap(26K) Effectiveexch.rate GDPgrowth M3growth NFCcreditgrowth Alessi/Detken - Identifying excessive credit growth and leverage
  • 11. Intro Data Predictive model Results Out-of-sample Conclusion Early warning tree Warning crisis pr.= 1 7 obs. HH credit/GDP Bank credit/GDP < 92 >54.5 > 92 <3.6 p.p. Warning crisis pr.= 0.62 63 obs.  No warning crisis pr.= 0 227 obs.  No warning crisis pr.= 0.07 375 obs. Debt service ratio > 10.6% Debt service ratio > 18%< 18% No warning crisis pr.= 0 18 obs. Warning crisis pr.= 1 5 obs. M3 gap < ‐0.2 p.p. > ‐0.2 p.p. ST rate House price  gap No warning crisis pr.= 0 226 obs. < 10.6% < ‐0.5% Bank credit  growth > 7.3% > ‐0.5% < 0.2 p.p. > 0.2 p.p.< 7.3% No warning crisis pr.= 0.25 4 obs. Bank credit gap >3.6 p.p. <54.5 No warning crisis pr.= 0 12 obs.  Warning crisis pr.= 0.9 139 obs.  < 8% House price/ income > 27 p. > 8% < 2 p.p. > 2 p.p. < 27 p. House price  growth Basel gap House price/ income > ‐3 p.< ‐3 p. No warning crisis pr.= 0 189 obs.  HH credit/GDP Equity price  growth > 36 %< 36 % WarningNo warning crisis pr.= 0.75 8 obs. crisis pr.= 0.08 83 obs. Bank credit/ GDP Bank credit/ GDP House price/ income crisis pr.= 0.1 31 obs. No warning crisis pr.= 0 5 obs. Warning Warning WarningNo warning < 46.7 > 46.7 > 42.4< 42.4 > 98.5< 98.5 > ‐2 p.< ‐2 p. No warning crisis pr.= 0.97 38 obs. crisis pr.= 0.33 12 obs. crisis pr.= 0.75 4 obs. crisis pr.= 0 7 obs. Alessi/Detken - Identifying excessive credit growth and leverage
  • 12. Intro Data Predictive model Results Out-of-sample Conclusion Evaluation metrics Crisis No Crisis Signal A B No signal C D θ = 2/3 TPR A A+C 85% FPR (Type II error) B B+D 4% Type I error C A+C 15% N2S B B+D)/ A A+C 5% Loss θ C A+C + (1 − θ) B B+D 0.12 Usefulness min[θ; 1 − θ] − Loss 0.22 Rel. Usefulness Usefulness min[θ;1−θ] 0.65 Alessi/Detken - Identifying excessive credit growth and leverage
  • 13. Intro Data Predictive model Results Out-of-sample Conclusion Out-of-sample exercise Imagine you were in mid-2006 Crisis No crisis Warning FR, IE, ES, FI, IT SE, DK, UK No warning GR, PT, LV, AU, BE, LU, DE, SI, NL EE, SK, MT, CY* *Crisis started beyond prediction horizon. Not classified in terminal nodes owing to lack of data. AT BE CY DK EE FI FR DE GR IE IT LV LU MT NL PT SK SI ES SE GB 2006Q3 x x x x x x x x 2006Q4 x x x x x x x x 2007Q1 x x x x x x x x 2007Q2 x x x x x x x x 2007Q3 x x x x x x x x 2007Q4 x x x x x x x x x 2008Q1 x x x x x x x x x 2008Q2 x x x x x x x x x 2008Q3 x x x x x Alessi/Detken - Identifying excessive credit growth and leverage
  • 14. Intro Data Predictive model Results Out-of-sample Conclusion Conclusion • The Random Forest/Early Warning methodology can become a useful quantitative tool to: • spur discussion on country risks • provide information on the most appropriate policy instrument to address identified vulnerabilities • Additional relevant (potentially country specific) information can be included Alessi/Detken - Identifying excessive credit growth and leverage