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FRM Exam Part II · Risk, Regulation and Organizational Structure

Stress Testing and Capital Planning for Banks

Updated 11 October 2026 · Fact-checked

Stress testing asks whether a bank keeps enough capital if a severe but plausible scenario happens. You design the scenario, project losses, revenue and risk-weighted assets over a horizon, then compare the stressed capital ratio with the minimum plus buffers. Results feed capital planning, limits and board decisions.

Understand Stress Testing and Capital Planning

A stress test asks one question: if conditions turn bad, how much capital does the bank have left? VaR describes normal-market losses at a confidence level. A stress test looks at events outside that range, such as a deep recession, a market crash or a funding freeze.

A scenario is a set of linked shocks. A macroeconomic scenario sets paths for GDP, unemployment, house prices, equity prices, interest rates and credit spreads over several quarters. The bank translates these paths into loan losses, trading losses, net interest income and operating costs. Good scenarios are severe but plausible, internally consistent and relevant to the bank's own vulnerabilities.

Supervisors run or require stress tests for capital adequacy. In the US, CCAR (Comprehensive Capital Analysis and Review) tests whether large bank holding companies have sound, forward-looking capital planning processes and enough capital to continue lending under stress. It is tied to DFAST, the Dodd-Frank stress test run on supervisory scenarios. The EU equivalent is the EBA stress test. CCAR has a qualitative side too: governance, controls and the ability to identify and measure risks.

Banks also run internal tests. Under Basel Pillar 2, the ICAAP (Internal Capital Adequacy Assessment Process) is the bank's own assessment of capital needed for all material risks, using stress tests. The ILAAP (Internal Liquidity Adequacy Assessment Process) does the same for liquidity and funding. ICAAP is about capital; ILAAP is about liquidity. Supervisors review both in the SREP or equivalent.

Stress testing only works with governance. The board and senior management should own the programme, approve scenarios, challenge results and link them to risk appetite, limits and the capital plan. Add reverse stress testing: start from a failure outcome, such as breaching minimum capital, and work backwards to find what scenario causes it. It exposes vulnerabilities that top-down scenarios miss.

Key formulas to remember

Capital ratio under stress
Stressed CET1 ratio = (Starting CET1 capital − cumulative losses + cumulative pre-provision net revenue − taxes − distributions) ÷ Stressed risk-weighted assets
Use the same definition of capital throughout. Check whether RWA changes under stress.
Pre-provision net revenue (PPNR)
PPNR = Net interest income + Non-interest income − Non-interest expense
Earnings before loan-loss provisions. It absorbs losses before capital is hit.
Capital shortfall
Shortfall = Required minimum (plus buffers) − Stressed capital ratio, applied to RWA
In rupee or dollar terms: shortfall = (required ratio − stressed ratio) × stressed RWA.
Capital impact of a ratio change
Change in ratio ≈ Change in capital ÷ RWA
Holding RWA fixed, each unit of loss reduces the ratio by loss ÷ RWA.
Reverse stress test logic
Choose outcome (e.g. CET1 ratio at minimum) → solve for shock size that produces it
Works backwards from failure to scenario.

How to solve Stress Testing and Capital Planning questions

Use this sequence for any stress testing or capital planning question. It keeps you from mixing up scope, scenario and outputs.

  1. 1Identify who is stressing and why: supervisor (CCAR, DFAST, EBA) or the bank itself (ICAAP, ILAAP, internal tests).
  2. 2Identify the risk type and scenario: macro scenario, sensitivity shock, historical or hypothetical event, or reverse stress test.
  3. 3Check design qualities: severe but plausible, consistent across variables, tied to the bank's vulnerabilities, with a defined horizon.
  4. 4Map the scenario to outcomes: credit losses, trading losses, PPNR, RWA changes, and planned distributions.
  5. 5Compute stressed capital and the ratio against minimum plus buffers. Use the stated capital measure.
  6. 6Interpret: shortfall, management actions, and what it means for the capital plan, dividends or buybacks.
  7. 7Check governance: board approval, independent challenge, documentation, and use in risk appetite.

Quickest way: Four-line capital walk

When to use it: Numerical questions asking for a stressed capital ratio or shortfall.

  1. Write starting capital.
  2. Subtract losses, add PPNR, subtract taxes and distributions if given.
  3. Divide by RWA, using stressed RWA if provided.
  4. Compare with the requirement and convert any gap to currency by multiplying by RWA.

Common mistakes in Stress Testing and Capital Planning

  • Confusing ICAAP and ILAAP

    Both are Pillar 2 internal assessments with similar names.

    Fix: ICAAP is capital adequacy across material risks. ILAAP is liquidity and funding adequacy.

  • Treating stress tests as forecasts

    Scenario paths look like predictions.

    Fix: A scenario is a hypothetical, severe but plausible event. It tests resilience, not expected outcomes.

  • Ignoring PPNR and RWA changes

    Students subtract losses from capital and stop.

    Fix: Include revenue buffers, taxes, distributions and any RWA change before computing the ratio.

  • Using only historical scenarios

    History feels objective.

    Fix: Add hypothetical and forward-looking scenarios. History may miss new vulnerabilities.

  • Seeing stress testing as a model-only exercise

    The numbers dominate study material.

    Fix: Remember governance: board ownership, challenge, documentation and use in decisions. CCAR also assesses qualitative capital planning.

  • Mixing minimum requirement with buffers

    Several thresholds appear in a question.

    Fix: Compare the stressed ratio with the threshold the question names, and note buffers when they are mentioned.

Worked examples

Example 1

A bank has CET1 capital of $40 billion and RWA of $500 billion. Under a stress scenario, cumulative losses are $22 billion, PPNR is $9 billion, taxes and distributions total $3 billion, and RWA is unchanged. What is the stressed CET1 ratio, and what is the shortfall against a 7% requirement?

Show the solution
  1. Stressed capital = 40 − 22 + 9 − 3 = $24 billion.
  2. Stressed ratio = 24 ÷ 500 = 4.8%.
  3. Required capital at 7% = 0.07 × 500 = $35 billion.
  4. Shortfall = 35 − 24 = $11 billion.

Answer: Stressed CET1 ratio is 4.8%, which is $11 billion below the 7% requirement.

Example 2

A risk committee wants a test that starts from the outcome that the bank's CET1 ratio falls to its regulatory minimum and then identifies what events could cause this. Which technique is this, and why use it alongside scenario-based tests?

Show the solution
  1. The approach starts from a failure outcome and works backwards to the causes.
  2. That is reverse stress testing.
  3. Standard scenarios start from an event and project results, so they may miss combinations that cause failure.
  4. Reverse tests reveal hidden vulnerabilities and challenge assumptions about what is plausible.

Answer: Reverse stress testing. It complements scenario tests by exposing vulnerabilities and combinations of events that forward scenarios may overlook.

Exam tips

  • Match the acronym to the owner: CCAR and DFAST are supervisory programmes, ICAAP and ILAAP are bank-owned processes.
  • In numerical questions, write the capital walk line by line so partial logic is clear and you do not skip PPNR or taxes.
  • Expect case questions on weak governance, such as a board that never challenges scenarios. The answer is usually about ownership and use of results.
  • Watch wording like 'severe but plausible' and 'reverse'. They point to scenario design and reverse stress testing respectively.

Practice questions from Risk, Regulation and Organizational Structure

Stress Testing and Capital Planning in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Stress Testing and Capital Planning: frequently asked questions

What is the difference between ICAAP and ILAAP?

ICAAP is a bank's internal assessment of whether its capital covers all material risks, including under stress. ILAAP is the equivalent for liquidity and funding. Supervisors review both under Pillar 2.

What is CCAR in simple terms?

CCAR is a US Federal Reserve programme that assesses whether large bank holding companies have strong capital planning processes and enough capital to keep operating through stress. It looks at both quantitative results and qualitative practices.

How do banks design stress test scenarios?

They define the risks and horizon, choose a scenario type, set linked shocks to macro and market variables, and check that it is severe but plausible and consistent. Then they translate it into losses, revenue and RWA, with board-level review.

What is reverse stress testing?

It starts from a defined failure, such as capital reaching the minimum, and finds the scenarios that would cause it. It helps find vulnerabilities that ordinary scenarios may miss.