Estimating default and loss parameters
Probability of default, loss given default and exposure at default are estimated from internal and external histories, with margins of conservatism where data are thin or do not cover a downturn.
GRA · Banking Nexus
Spatial financeWhere capital meets hazard, exposure and transition
Statistics for bank risk measurement
Probability and statistics underlie every credit, market and operational risk measure in banking. Default probabilities, loss distributions, value at risk and stress losses all rest on estimation from limited and often unrepresentative data, and the discipline makes the uncertainty in those estimates explicit for the people who rely on them.
01تۆمارکردن
Statistics for bank risk measurement on the record.
Method recordSTEM method
- ڕێگائەگەر و ئامار
- Applied inBanking Nexus
- داتا4 inputs
- Checks4 validation steps
- Canonical pageSTEM Commons
02بەکارهێنان
What probability and statistics does here.
Probability and statistics provide the mathematical framework for describing uncertainty and learning from data. They underpin estimation, testing and prediction in every risk discipline. In financial stability, capital markets and investment and climate and hazards, statistical methods quantify the likelihood and uncertainty of losses across interconnected سیستەمەکان. They make the evidence behind risk decisions explicit and reproducible. The canonical description is on the STEM Commons.
Operational loss modelling
The frequency and severity of operational losses are modelled from internal, external and scenario data, with heavy tails treated explicitly rather than smoothed away.
Back-testing and calibration
Predicted default rates and value at risk are compared with outcomes using binomial and traffic-light tests, and calibration is reviewed when realised values diverge.
03Stress test
How a shock to assets becomes a system loss.
The equity the system loses after interbank contagion, against the initial hit, as leverage, interconnection and recovery rates change, the core of a macroprudential تاقیکردنەوەی فشاری. Teaching model with stated illustrative values, not a prediction.
کۆنترۆڵەکان
- Fall in external assets
- 2.0%
- Leverage (assets over equity)
- 10 times
- Interbank share of assets
- 10%
- Recovery on interbank claims
- 40%
- Banks in the system
- 20
- Core banks
- 20% of banks
خوێندنەوەکان
- Equity lost to the initial shock
- 18.0%
- Equity lost after contagion
- 45.0%
- Added by contagion (DebtRank)
- 27.0 points
- Banks in default
- 0
ژمارە، ڕێگا و سەرچاوەکان
| Round | System equity lost (%) | Banks in default |
|---|---|---|
| 0 | 18.00 | 0 |
| 1 | 28.80 | 0 |
| 2 | 35.28 | 0 |
| 3 | 39.17 | 0 |
| 4 | 41.50 | 0 |
| 5 | 42.90 | 0 |
| 6 | 43.74 | 0 |
| 7 | 44.24 | 0 |
| 8 | 44.55 | 0 |
| 9 | 44.73 | 0 |
| 10 | 44.84 | 0 |
| 11 | 44.90 | 0 |
| 12 | 44.94 | 0 |
| 13 | 44.96 | 0 |
| 14 | 44.98 | 0 |
| 15 | 44.99 | 0 |
| 16 | 44.99 | 0 |
| 17 | 45.00 | 0 |
| 18 | 45.00 | 0 |
| 19 | 45.00 | 0 |
| 20 | 45.00 | 0 |
| 21 | 45.00 | 0 |
| 22 | 45.00 | 0 |
| 23 | 45.00 | 0 |
| 24 | 45.00 | 0 |
| 25 | 45.00 | 0 |
| 26 | 45.00 | 0 |
| 27 | 45.00 | 0 |
| 28 | 45.00 | 0 |
| 29 | 45.00 | 0 |
| 30 | 45.00 | 0 |
ڕێگاکان
- DebtRank Battiston and others (2012), Scientific Reports 2:541
- Differential DebtRank Bardoscia and others (2015), PLOS ONE 10
- Contagion in financial networks Gai and Kapadia (2010), Proc. R. Soc. A 466
- Clearing in financial networks Eisenberg and Noe (2001), Management Science 47
- پەنجەی نادڵنیایی (مۆنتی کارلۆی پارامیتەر) Spiegelhalter, Pearson و Short (2011)، Visualising uncertainty about the future، Science 333
- هەستیاریی یەک-یەک (تۆرناد) Saltelli و ئەوانی دیکە (2008)، Global Sensitivity Analysis: The Primer، Wiley
داتا
No observed data enters this model: it runs on the teaching values set by the controls, to be replaced with a programme’s own evidence.
لە ناو شەش کۆڵەکەکەدا، بە سەرپەرشتیی Nexus Consortium
- تاقیکردنەوەکان Labs
- تێدا دروستکراوە Banking Nexus in Foundry
- تاقیکراوەتەوە لە Banking Nexus in Universe
- کۆدکراوە لە دارایی، بیمە و ئابووری لە Standards
- بڵاوکراوەتەوە لە Banking Nexus in Reports
- فێرکراو لە کۆلێژی دارایی و ئابووری لە Academy
04داتا
What the method consumes.
Datasets and records used by probability and statistics on this platform, with the role each plays and the label its values carry. Sources are listed in the source register.
| داتا | ڕۆڵ | ناونیشان |
|---|---|---|
| Internal default and recovery histories | Parameter estimation | چاودێریکراو |
| Rating agency default studies | External benchmark | REPORTED |
| Operational loss databases | Frequency and severity fitting | REPORTED |
| Market price series | Value at risk and back-testing | چاودێریکراو |
05Exposure, loss and capital
What statistics for bank risk measurement means for exposure, loss and capital.
The exposure, loss, scenario and capital views a risk officer, supervisor or ministry of finance would ask for, with the frameworks they report against. Structures follow supervisory and actuarial practice. Values are illustrative: never prices, ratings or advice.
Scenario pathways
How statistics for bank risk measurement could be stressed under the scenario families central banks and supervisors use.
| Scenario family | Transition risk | Physical risk | What a stress test asks |
|---|---|---|---|
| Orderly | Early, gradual policy | نزم | Can the book absorb a steady repricing? |
| Disorderly | Late, abrupt policy | Lower to medium | What breaks under a sudden repricing and credit migration? |
| Hot house world | Limited policy | High and rising | Where do physical losses concentrate in collateral and insurance? |
NGFS climate scenarios · Network for Greening the Financial SystemIFRS S2 Climate-related Disclosures · ISSBTCFD recommendations · Financial Stability Board TCFDPrinciples for the effective management of climate-related financial risks · Basel Committee on Banking Supervision
06پشتڕاستکردنەوە
How results are checked.
Results are checked through diagnostics, cross-validation and sensitivity to assumptions. Independent replication confirms findings.
| بپشکنە | How it is done |
|---|---|
| Out-of-time validation | Models are tested on periods not used in estimation, including a stressed period where one is available |
| Low-default portfolio treatment | Where defaults are rare, conservative estimators and expert overlays are documented and challenged |
| Tail diagnostics | Fitted distributions are checked in the tail, not only on average fit |
| Sensitivity reporting | Key parameter changes and their effect on capital and provisions are reported to decision-makers |
Inference depends on assumptions about independence, distribution and sampling that may not hold. Small or biased samples limit reliability.
08Stewardship
Who maintains the method.
زانستی سیستەمەکان و مۆدێلسازی stewards probability and statistics for the Consortium and reviews how it is applied across platforms.
09پەیوەست
ئەو شوێنانەی ئەم لاپەڕەیە لە ناو کۆنسۆرتیۆم بۆیان دەبات.
10پرسیارەکان
پرسیار و وەڵام.
What are the limits of probability and statistics in this field?
Inference depends on assumptions about independence, distribution and sampling that may not hold. Small or biased samples limit reliability.
How are results checked?
Results are checked through diagnostics, cross-validation and sensitivity to assumptions. Independent replication confirms findings.
Are the values on this page real?
The data names, roles and checks are real descriptions of practice. The canvas shows a design of the method’s use, not a run; no result is reported here.
Where else is this method applied?
ئەو canonical method page lists every platform that applies it.
Reportsبەشداربە
لەم لاپەڕەیەوە بەڵگە پێشکەش بکە.
Reports is the Consortium’s quarterly publication. What you know about this subject can become evidence, a case or a correction in the next edition, credited to you and published under CC BY 4.0 where it is your own work.
Global Risks AllianceBanking Nexusئامادەیی دارایی و بیمەسیناریۆ و تاقیکردنەوەی گوشار
- ئیمەیڵGateway GW-GRAلەم لاپەڕەیەوە بینێرەبەڵگە، ڕاستکردنەوە، بابەت، ڕێگا، پێداچوونەوە، وەرگێڕان یان تێکردنی پڕۆفایل. بە نیشانەی ئەم لاپەڕەیە دەگات، بۆ ئەوەی دەستکاریکەری خاوەنەکەی وەریبگرێت.
- Zenodoتەکیەی کراوەدایبنێ و بیدە بە کۆمەڵگاتۆماری خۆت لە Zenodo بە ORCID iD ی خۆت بڵاو بکەرەوە، پاشان لەوێ بیدە بە کۆمەڵگای Reports. سەرپەرشتیارەکان پێداچوونەوەی بۆ دەکەن؛ DOI هەر هی تۆیە.
- ReportsGlobal Risks Allianceهەموو ڕێگاکانی بەشداری ببینەجۆرەکانی بەشداری، هەریەکە چۆن پێداچوونەوەی بۆ دەکرێت، چ ناوبردنێک وەردەگریت، مۆڵەتەکە و ئەوەی هەرگیز وەرناگیرێت.
هەرگیز داتای کەسی، وردەکاریی هەستیاری ژێرخان یان هیچ شتێک مەنێرە کە مافی بڵاوکردنەوەت نییە. بەشدارییەک پێش بەکارهێنان پێداچوونەوەی بۆ دەکرێت؛ ناردنی ماف نابەخشێت بە نووسەرایەتی یان بەڕێوەبردنی ڕاگەیاندن، و پاڵپشتی دارایی هەرگیز دۆزینەوەیەک ناکڕێت.
Banking Nexus
Bring an exposure or capital question to the Alliance.
زانیاری و پرسیار ئەمڕۆ کراوەن. پرسیارێک ژمارەی ئاماژەی پێدەدرێت و هەنگاوی دواتر دیاری دەکات؛ داواکاری، پارەدان، تەرخانکردنی کۆمپیوتەر و تۆمارکردن تەنیا کاتێک دەکرێنەوە کە تیم، مەرج و توانای پێداچوونەوەیان هەبێت.
یاسایی
بەڵگەنامە یاساییەکان.
نەخشە، داتا و وێنەکانی ئەم ماڵپەڕە بۆ ناوەڕۆک و زانیاریی گشتی پیشان دراون. ئامۆژگاری، پێشبینی یان ئاگادارکردنەوە نین؛ سنوورەکانی زانیارییەکە لە ڕەتکردنەوەی بەرپرسیارێتی و ئاگاداریی داتادا دەستنیشان کراون.