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Global Bank Stress Test-2021-11-08-CEF

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The IMF’s <strong>Global</strong> <strong>Bank</strong> <strong>Stress</strong><br />

<strong>Test</strong> (GST)<br />

Dimitrios Laliotis on behalf of the GST Team<br />

<strong>CEF</strong> Financial Stability and <strong>Stress</strong> <strong>Test</strong>ing online course<br />

November 8, <strong>2021</strong><br />

GST Team: Xiaodan Ding, Ibrahim Ergen, Marco Gross, Ivo<br />

Krznar, Dimitrios Laliotis, Fabian Lipinsky, Pavel<br />

Lukyantsau, Srobona Mitra<br />

INTERNATIONAL MONETARY FUND 1


Presentation Outline<br />

1. The GST and its purpose<br />

2. Coverage in terms of countries and banks<br />

3. The underlying methodology<br />

4. Data inputs for the GST<br />

5. GST output<br />

6. The GST tool<br />

7. Further extensions<br />

8. The methodology’s strengths and weaknesses<br />

2


The GST and its Purpose<br />

• Conduct global bank solvency stress test conditional on macrofinancial<br />

scenarios, in a consistent manner across a large number of<br />

countries (advanced and emerging)<br />

• Operate with public bank-level data, with implications for model choices<br />

(simpler than in IMF FSAPs)<br />

• Enhance macrofinancial analysis, quantification of risks and<br />

vulnerabilities, and inform policy discussions, for example, regarding<br />

sufficiency of capital buffers<br />

3


GST Timeline & Milestones<br />

March 2020<br />

June 2020<br />

September 2020<br />

October 2020<br />

January <strong>2021</strong><br />

July <strong>2021</strong><br />

December <strong>2021</strong><br />

Start of the<br />

work<br />

Presentation to<br />

Management<br />

Informal Board<br />

Meeting<br />

GFSR Chapter 4<br />

Rollout of<br />

the tool<br />

1 st Update<br />

Cycle<br />

IMF<br />

Departmental<br />

GST paper<br />

Relevant past & future work:<br />

‣ GST tool developed and made available to country teams<br />

‣ User manual delivered + road-shows conducted<br />

‣ Tool update cycle: once a year (first update Jul - Aug <strong>2021</strong>)<br />

‣ Departmental paper: Illustration of policy impact analysis and sectorization; allows users to sectorize loan<br />

losses (household, corporates) and assess policy impact<br />

‣ Extensions on policy impact<br />

4


What is a <strong>Global</strong> <strong>Bank</strong> <strong>Stress</strong> test<br />

• <strong>Global</strong> bank solvency stress test of impact of pandemic shock- scenario-based stress test of<br />

individual banks in 33 major banking systems<br />

• Motivation: unprecedented pandemic shock<br />

• Publicly-available data: annual frequency (1995-2019); consolidate, less granular data<br />

• Methodology: simpler than usual in FSAPs: bank level econometric models that link main drivers<br />

of income statements to scenarios<br />

• Scenarios: Baseline WEO; Adverse scenarios based on RES adverse scenarios simulated using<br />

FSGM (any other global and complete adverse scenario model will also work)<br />

• No direct policy offset: Macro and sectoral policies to support borrowers captured in scenarios;<br />

the analysis is aggregate and does not explicitly capture the effects of sectoral policies on banks’<br />

balance sheets<br />

5


Country and <strong>Bank</strong> Sample Coverage<br />

• 33 countries major banking<br />

systems, covering 92% of<br />

global banking sector assets<br />

• Around 450 banks (ca. 350<br />

without subsidiaries)<br />

• Covering at least 80% of total<br />

banking system assets per<br />

country (>90% in many<br />

countries)<br />

• Choice between consolidated<br />

vs. locational perspective<br />

• UST: wider country coverage<br />

Africa Asia and Pacific Europe Middle East Western Hemisphere<br />

South Africa Australia Austria Saudi Arabia Brazil<br />

China Belgium Canada<br />

Hong Kong SAR Denmark Mexico<br />

India Finland United States<br />

Indonesia<br />

France<br />

Japan<br />

Germany<br />

Singapore Greece<br />

Republic of Korea Ireland<br />

Italy<br />

Luxembourg<br />

Netherlands<br />

Norway<br />

Portugal<br />

Russia<br />

Spain<br />

Sweden<br />

Switzerland<br />

Turkey<br />

United Kingdom<br />

6


Reminder: How do Solvency <strong>Stress</strong> <strong>Test</strong>s Work?<br />

Income statement<br />

Interest income<br />

Interest expense<br />

Provisions<br />

Noninterest income<br />

Noninterest expense<br />

Dividends<br />

Taxes<br />

Net income<br />

Macro<br />

scenarios<br />

Other comprehensive<br />

income (OCI)<br />

Balance sheet<br />

Assets<br />

Credit<br />

Liabilities<br />

CAPITAL t+1 = CAPITAL t + NET INCOME t+1 + OCI t+1<br />

CAPITAL RATIO t+1 = CAPITAL t+1 /RWA t+1<br />

Capital<br />

Risk-weighted assets<br />

(RWA)<br />

7


<strong>Stress</strong> <strong>Test</strong> Approach & Methodology<br />

Income Statement<br />

and Other Models<br />

Balance Sheet<br />

Projection<br />

Capital shortfalls<br />

• Panel regression models (except for<br />

trading income and other income)<br />

for each country<br />

• Sign restrictions, Bayesian model<br />

averaging<br />

• Combines all Income projections<br />

• Assumptions for taxes, dividends<br />

• Static or dynamic balance sheets<br />

• Risk weights (standardized vs.<br />

IRB approach, Basel formulas)<br />

• Focus on CET1 ratios<br />

• Threshold: 4.5 percent<br />

• PDs and LGDs from NLRs<br />

Left hand side variables<br />

Net Interest Margin<br />

Net Loan Loss Rates<br />

Net Fee and Commission Income<br />

Other Comprehensive Income<br />

Other Income/Expense<br />

Net Trading Income Ratio<br />

Right hand side variables<br />

GDP growth<br />

Unemployment rate<br />

Short term rates<br />

Term spread<br />

Stock price growth<br />

VIX<br />

Corporate spreads<br />

Constant<br />

Stand. deviation approach<br />

8


Econometric Model Components<br />

• Panel econometric models<br />

(BMA) for loss rates, NIMs,<br />

NFCI ratios, delta OCI, and loan<br />

growth<br />

Model Component<br />

Definition<br />

Net Interest Margin (NIM)<br />

NIM = NII(t) / (av(TEA(t)+PR(t)-NPL(t), TEA(t-<br />

1)+PR(t-1)-NPL(t-1)))<br />

TEA = Total Earning Assets net of loan loss<br />

provisions stocks (PR). NII = Net Interest Income.<br />

NPL = Nonperforming Loans.<br />

Net Loan Loss Ratio (NLR) NLR = NL(t) / (TEA(t-1)+PR(t-1)-NPL(t-1) )<br />

NL = Net Loan Loss flow.<br />

• Historical STD-based calibration<br />

for NTI<br />

• Residual which “closes the<br />

P&L”: constant<br />

P&L flows<br />

Net Trading Income Ratio (NTIR)<br />

Net Fee and Commission Income Ratio<br />

(NFCIR)<br />

Other Income/Expense (RESR)<br />

NTIR(t) = av(NTIR) -a(t) stdev(NTIR)<br />

NTIR(t) = NTI(t) / TA(t), the average and standard<br />

deviation taken over the last five years and the a(t)<br />

multiplier reflecting scenario-implied stress on<br />

positional risk and bank business.<br />

NFCIR(t) = NFCI(t) / av(TEA(t)+PR(t), TEA(t-<br />

1)+PR(t-1))<br />

RES = NI after tax + tax + NL – NII – NTI – NFCI.<br />

• Exposure-weighted right handside<br />

macro-financial variables<br />

for internationally active banks<br />

Delta OCI Ratio (DOCIR)<br />

RESR = RES / av(TEA(t)+PR(t), TEA(t-1)+PR(t-1))<br />

DOCIR = (OCI(t)-OCI(t-1)) / av(AFS(t), AFS(t-1))<br />

AFS = Available for Sale securities.<br />

9


Econometric Model Components (ctd)<br />

• Bayesian Model Averaging (BMA) for panel models, with sign constraints on long-run<br />

multipliers<br />

• Why BMA?<br />

‣ Avoid hand-picking models<br />

‣ Explicit account of model uncertainty → foster robustness<br />

• Automatization of estimation: important… estimating 150+ models manually based on partly noisy<br />

and lower-quality data not quite feasible<br />

• Sign constraints: to make sure that results “make sense”, i.e., coefficient signs in line with<br />

theory, and resulting forecasts conditional on scenarios meaningful<br />

10


Data Inputs<br />

• Publicly available data from Fitch (+ Bloomberg, S&P, banks’ annual reports)<br />

• P&L time series data for banks: annual frequency (1995-2019)<br />

• Balance sheet starting point data for banks<br />

• Other regulatory data from Pillar III reports: Risk weights, IRB portfolio shares<br />

• Exposure weights for GSIBs<br />

• Macro-financial variables for the right hand-side of the econometric models:<br />

Real GDP growth<br />

Unemployment rate<br />

Short-term interest rates<br />

Term spread<br />

Stock price growth<br />

VIX<br />

Corporate bond spread<br />

Oil price growth (for selected<br />

countries)<br />

<strong>11</strong>


Decomposing Loss Rates into PDs and LGDs<br />

• Why this decomposition:<br />

o<br />

o<br />

“Spillover” to interest income (drop) via less performing business<br />

PD PiT feeds to PD TTC, to obtain risk weight impact for IRB portfolios<br />

• Simple structural model, matching broad behavioral dynamics of LGDs:<br />

Frye and Jacobs (2012, JoCR)<br />

• More complex models found to not easily outperform this model<br />

• FED DFAST uses FJ approach to imply stressed LGDs from stressed PDs<br />

• Here: to decompose loss rates to PDs and LGDs<br />

12


RWA Modeling<br />

• Source loan book-total IRB portfolio shares and aggregate risk weight<br />

densities for all 450 banks<br />

• Apply Basel risk weight formulas for loan books’ IRB portion<br />

• Keep STA risk weights constant<br />

Note: IRB portfolio shares and risk weight densities as of end-2019 for an underlying bank sample of about 450 banks (cross-bank medians per country).<br />

Source: <strong>Bank</strong>s’ Pillar III reports and IMF staff calculations.<br />

13


Results: Capital Depletion (drivers and delta between<br />

scenarios)<br />

Aggregated by:<br />

• <strong>Bank</strong><br />

• Group of <strong>Bank</strong>s<br />

• Country<br />

• Group of Countries<br />

• Any other weighted scheme<br />

14


Results as Published in October 2020 GFSR<br />

• <strong>Bank</strong>s in much stronger position to deal with impact of the pandemic than they were on the eve of the<br />

global financial crisis<br />

• Reaffirm efficacy of post-GFC Basel reforms<br />

• Important variation in resilience across banks and banking systems<br />

Source: IMF GFSR, October 2020, Chapter 4.<br />

15


Results: Impact on CET1 Ratio (by group of banks or<br />

countries)<br />

I. Capital Ratio Dynamics Over <strong>Stress</strong> <strong>Test</strong>ing Horizon<br />

CET1 Ratio<br />

(In percent)<br />

Baseline Adverse1 Adverse2<br />

III. Contributions Plot<br />

Scenario 1 Baseline OK<br />

Scenario 2 Adverse1 OK<br />

Year 3<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Y0 Y1 Y2 Y3 Y4 Y5<br />

Y0 Y1 Y2 Y3 Y4 Y5<br />

Baseline 14.5 12.7 14.7 16.3 17.8 19.3<br />

Adverse1 14.5 10.5 10.0 9.3 <strong>11</strong>.0 12.0<br />

Adverse2 14.5 10.0 9.0 9.8 12.0 14.0<br />

NII: N<br />

NTI:<br />

NFC<br />

OCI:<br />

Othe<br />

RWA<br />

Sources: IMF staff calculations.<br />

NII: Net interest income<br />

NTI: Net trading income<br />

NFCI: Net fees and commission income<br />

OCI: Other comprehensive income<br />

Other: Other income/expense<br />

RWA: Risk weighted assets 16


Results: Drivers of Changes in CET1 Ratios<br />

(Across regions, groups)<br />

Contributions to CET1 Ratio Differences: June 2020 Baseline - January 2020<br />

Baseline<br />

(In percentage points, June 2020 baseline minus January 2020 WEO baseline in 2020)<br />

2<br />

-2<br />

-6<br />

-10<br />

-14<br />

<strong>Global</strong> Western Hemisphere Asia Pacific and Africa Europe<br />

Loan losses NII NFCI<br />

NTI OCI Other<br />

Tax Dividends RWA<br />

CET1 ratio differences<br />

Sources: IMF staff calculations.<br />

NII: Net interest income<br />

NTI: Net trading income<br />

NFCI: Net fees and commission income<br />

OCI: Other comprehensive income<br />

RWA: Risk weighted assets 17


Results: Capital Shortfalls in Illustrative Scenario<br />

(Maximum capital shortfall over 2020-2022, as percent of 2019 GDP)<br />

• CET1 ratio threshold = 4.5 percent<br />

Capital Shortfalls, Initial and Minimum CET1 Ratio<br />

Percent of GDP<br />

3.0<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

Capital shortfall in percent of GDP<br />

Initial capital ratio (RHS)<br />

Capital ratio at trough (RHS)<br />

Percent<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0.0<br />

1 2 3 4 5 6 7 8 9 10 <strong>11</strong> 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29<br />

0<br />

Sources: IMF staff calculations.<br />

18


Change in CET1 ratio \2<br />

Illustrative Results: CET1 Drivers<br />

GDP Shock and Change in CET1 Ratio<br />

(Baseline scenario, June vintage)<br />

0<br />

-1<br />

-2<br />

-3<br />

-4<br />

-5<br />

-6<br />

-7<br />

-8<br />

-9<br />

-10<br />

-14 -12 -10 -8 -6 -4 -2 0<br />

Change in GDP Growth \1<br />

\1 Defined as the minimum of the cumulative real GDP growth over the period 2020-22<br />

\2 Defined as the change of the CET1 ratio in year of minimum CET1 ratio and the CET1<br />

ratio in 2019.<br />

Sources: IMF staff calculations.<br />

19


Illustrative Results: Change in CET1 ratios,<br />

Individual <strong>Bank</strong>s<br />

(CET1 ratio at low/high point minus CET1 ratio at end-2019)<br />

CET1 Ratio Changes from Year 0 to Low/High<br />

Point, Unweighted <strong>Bank</strong>-level Distribution<br />

(Percentage points)<br />

20


The GST Tool<br />

• User friendly Excel-based Tool for Area Department Teams of 33 GST countries to<br />

strengthen macrofinancial surveillance<br />

• Instantaneous output: users provide relevant inputs and obtain results instantly<br />

• Flexibility: users can (i) override GST projections or regression coefficients, (ii) provide<br />

input for sectorization of loan losses and policy impact<br />

• Automatic data retrieval: Automatic download and processing of bank and macro data<br />

from centralized data files—data goldmine!<br />

• Differences from previous versions of the GST: (i) subsidiaries now included, (ii)<br />

dynamic vs. static balance sheet assumption<br />

21


Structure of the Tool<br />

Input<br />

Model parameters<br />

Model/Calculations<br />

Output<br />

• Country selection<br />

• Scenarios (baseline<br />

automatically uploaded;<br />

adverse by users)<br />

• Download of bank data (subs<br />

included; starting point)<br />

• Regulatory thresholds<br />

• Optional: Dynamic balance<br />

sheet growth inputs<br />

• Optional: Input external<br />

projections (overrides), PDs,<br />

LGDs for corporate and HH<br />

loan losses and policy impact<br />

• Exposure weights<br />

• Model coefficients<br />

• Other modeling<br />

parameters<br />

• Projections of P&L<br />

components and OCI<br />

• Frye-Jacobs method<br />

to decompose loss<br />

rates into PiT PDs and<br />

LGDs<br />

• Projections of RWAs:<br />

TTC PDs, DT LGDs,<br />

IRB formulas<br />

• Capital projections<br />

• Charts: (i)<br />

aggregate CET1, (ii)<br />

capital shortfall, (iii)<br />

contributions, (iv)<br />

scenarios, (v)<br />

individual bank<br />

historical data and<br />

projections<br />

• Tables: individual<br />

banks’ main<br />

projections<br />

22


Results: Impact on CET1 Ratio (by group of banks or<br />

countries)<br />

I. Capital Ratio Dynamics Over <strong>Stress</strong> <strong>Test</strong>ing Horizon<br />

CET1 Ratio<br />

(In percent)<br />

Baseline Adverse1 Adverse2<br />

III. Contributions Plot<br />

Scenario 1 Baseline OK<br />

Scenario 2 Adverse1 OK<br />

Year 3<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Y0 Y1 Y2 Y3 Y4 Y5<br />

Y0 Y1 Y2 Y3 Y4 Y5<br />

Baseline 14.5 12.7 14.7 16.3 17.8 19.3<br />

Adverse1 14.5 10.5 10.0 9.3 <strong>11</strong>.0 12.0<br />

Adverse2 14.5 10.0 9.0 9.8 12.0 14.0<br />

NII: N<br />

NTI:<br />

NFC<br />

OCI:<br />

Othe<br />

RWA<br />

Sources: IMF staff calculations.<br />

NII: Net interest income<br />

NTI: Net trading income<br />

NFCI: Net fees and commission income<br />

OCI: Other comprehensive income<br />

Other: Other income/expense<br />

RWA: Risk weighted assets 23


Illustrative Results: GST Tool Dashboard<br />

24


Current Work: Sectorization of Loan Losses, Assessing<br />

Policy Impact<br />

• HH and corporate stress test<br />

GST<br />

model suites involve household<br />

and firm micro data<br />

PDs,<br />

LGDs<br />

PDs,<br />

LGDs<br />

PDs,<br />

LGDs<br />

• Policy counterfactuals can be<br />

modeled<br />

Household<br />

stress test<br />

Corporate<br />

stress test<br />

• Link to GST for banks: scenarioconditional<br />

PDs and LGDs for HHs<br />

and corporates<br />

25


Extensions – Corporate and Household Sector Modules<br />

Objective: Allow for portfolio breakdown to enhance precision of scenario-conditional bank capital<br />

forecasts + for explicitly reflecting policy support measures such as moratoria (via PDs) and guarantees<br />

(primarily via LGDs).<br />

Micro-macro simulation model for households:<br />

• Structural model rooted in macro and micro data<br />

• Household micro data from HFCS for Europe + other<br />

micro survey databases for countries outside Europe<br />

• Obtain PDs and LGDs for households to link<br />

to banks’ retail portfolios<br />

Source: Gross, Tressel, Ding (<strong>2021</strong>, forthcoming).<br />

Micro-macro simulation model for corporates: Corporate ST presentation.<br />

26


Strengths and Weaknesses of the GST<br />

Strengths<br />

• Consistent methodology for a large number of countries<br />

• Comparably simple methodology: enhance robustness<br />

• Econometric model methodology (BMA): account for model uncertainty<br />

Weaknesses<br />

• Publicly available data limits depth of the model/analysis<br />

• Most notably: currently no portfolio breakdowns<br />

27


advanced stress testing methodologies<br />

advanced stress testing methodologies<br />

Pros and Cons of the Methodology<br />

PROS<br />

CONS<br />

• Cross-country stress test based on<br />

globally consistent macro scenarios<br />

• Main drivers of banks’ financial<br />

statements are modeled in a<br />

consistent manner<br />

• Accounts for model uncertainty<br />

• Increased scalability of the core<br />

engine + computational efficiency<br />

• Absence of granular supervisory,<br />

data limits sophistication of stress<br />

testing methodology<br />

• Aggregate approach limits explicitly<br />

modeling the effects of<br />

sectoral/borrower level policies<br />

• Static balance sheet assumption (as<br />

a starting point)<br />

28


Additional slides: Behind the Scenes<br />

Making the file simple<br />

29


From User Inputs to Outputs<br />

User Settings:<br />

Country, regulatory<br />

capital thresholds,<br />

etc.<br />

Econometric<br />

Model-Based<br />

Projections<br />

Latest WEO Baseline<br />

Scenario Retrieval;<br />

Automated via DMX<br />

Plug-In (Push a<br />

Button)<br />

Frye-Jacobs<br />

Module to<br />

Decompose Loss<br />

Rates to PDs and<br />

LGDs<br />

Balance Sheet<br />

Module<br />

Reporting: Capital<br />

Ratios, Capital<br />

Shortfalls<br />

Up to Two Additional<br />

Adverse Scenarios:<br />

User Input<br />

Risk Weight<br />

Projection Module<br />

30


<strong>Bank</strong> Data Cleaning & Preparation – Process Flow Diagram<br />

Raw data<br />

Vendor data<br />

Flat file<br />

Filter all data for<br />

banks, reporting<br />

years, consolidation<br />

level and accounting<br />

standard within<br />

scope<br />

Collapse accounting<br />

standard dimension<br />

to fill gaps<br />

(permutations or<br />

waterfall approach)<br />

Historical<br />

dataset ready<br />

for further<br />

cleaning<br />

All<strong>Bank</strong>s_cleaned.csv<br />

Historical Data Set<br />

Data Exploration<br />

Post-processing,<br />

filtering & overlays<br />

Quality<br />

Approval<br />

Check<br />

Manually fill<br />

missing data<br />

points<br />

(optional)<br />

Automated Checks<br />

for “critical”<br />

variables<br />

Generation of Data<br />

“flags”<br />

Starting Point<br />

Data Set<br />

B/S & Capital<br />

Projections<br />

Model<br />

estimation<br />

Aggregation & Weighting<br />

Output for Historical<br />

Dashboard<br />

all_check.csv<br />

bank_hist_stats.csv<br />

cnt_hist_stats_aggr<br />

egates.csv<br />

Finalize <strong>Bank</strong> SP Data<br />

Set. List of<br />

Approved <strong>Bank</strong>s and<br />

starting years<br />

Automated postprocessing<br />

edits, empty<br />

data point filling, final SP<br />

post-processing<br />

Final SP Data Set<br />

delivered to the Tool<br />

for BS & Capital<br />

projections<br />

sp.csv<br />

GST<br />

Tool


Scenario Preparation – Process Flow Diagram<br />

Download latest<br />

WEO baseline from<br />

live/published WEO<br />

database<br />

Upload downloaded<br />

WEO data into local<br />

DMX database<br />

Retrieve baseline<br />

projection from<br />

DMX into GST tool<br />

Scenario ready for<br />

further processing<br />

Up to Two Additional<br />

Adverse Scenarios:<br />

User manual input in<br />

GST tool


Econometric Methodology: Panel BMA<br />

• Bayesian Model Averaging (BMA) for panel models, with sign constraints on long-run<br />

multipliers<br />

• Why BMA?<br />

‣ Avoid hand-picking models<br />

‣ Explicit account of model uncertainty → conditional forecasts more robust<br />

• Automatization of estimation: important… estimating 150+ models manually based on noisy<br />

rather low-quality data not quite feasible<br />

• Sign constraints: to make sure that results “make sense”, i.e., coefficient signs in line with<br />

theory, and resulting forecasts conditional on scenarios meaningful<br />

33


Implying PDs and LGDs from NLRs<br />

• Basis: Frye and Jacobs (2012, JoCR)<br />

• Simple model, matching broad behavioral dynamics of LGDs<br />

• More complex models found to not easily outperform this simple model<br />

• FED DFAST uses FJ approach to imply stressed LGDs from stressed<br />

PDs<br />

• In G-ST used instead to decompose (N)LRs to PDs and LGDs

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