Chapter 16 Quiz: Stress Testing and Scenario Analysis

Instructions: Select the single best answer for each question. Questions are designed to test conceptual understanding and regulatory knowledge, not rote memorization. The answer key with explanations appears at the end.

Question 1

What is the primary distinction between CCAR and DFAST in the US stress testing framework?

A) CCAR applies to all banks; DFAST applies only to bank holding companies B) CCAR evaluates the capital plan of the holding company and includes qualitative process assessment; DFAST applies to the bank entity and focuses primarily on results disclosure C) CCAR uses internally-designed scenarios; DFAST uses Fed-published scenarios D) CCAR is conducted annually; DFAST is conducted biennially

Question 2

A financial institution's reverse stress test identifies that a GDP contraction of -12% in a single year would breach its 4.5% CET1 minimum. A prudential supervisor reviewing this result is most likely to:

A) Accept the result as compliant, since the institution has demonstrated a clear capital floor scenario B) Commend the institution for identifying an appropriately severe scenario C) Challenge the result as mechanically constructed, noting that no such GDP contraction has occurred in post-war developed economies in a single peacetime year D) Require the institution to increase its capital buffer to withstand the -12% scenario

Question 3

Which of the following best describes the Bank of England's Annual Cyclical Scenario (ACS) design philosophy?

A) The scenario severity is fixed each year to ensure comparability across institutions B) The scenario severity increases during economic booms and decreases during stressed economic conditions, creating a counter-cyclical dynamic C) The scenario severity is calibrated to match the previous year's actual economic outturn D) The scenario severity is determined by participating institutions based on their individual risk profiles

Question 4

Under the EBA EU-wide stress test, which of the following is the correct characterization of the pass/fail framework?

A) Banks must maintain a minimum 8% total capital ratio throughout the stress horizon to pass B) Banks must maintain a minimum 5.5% CET1 ratio throughout the stress horizon to pass C) There is no formal pass/fail threshold; results feed into supervisors' SREP assessments and inform Pillar 2 Requirements D) Banks that fall below 4.5% CET1 during the stress automatically face distribution restrictions

Question 5

The Internal Capital Adequacy Assessment Process (ICAAP) is primarily a:

A) Regulatory reporting form submitted quarterly to prudential supervisors B) Comprehensive internal document assessing the capital the institution needs given its risk profile, stress scenarios, and strategic plan C) External audit report commissioned annually by the board of directors D) Model validation framework for credit risk satellite models

Question 6

A UK bank's ICAAP assumes that it will raise £500m of new Common Equity Tier 1 capital within three months of a stress event, restoring capital above regulatory minimums. A PRA examiner reviewing this ICAAP is most likely to:

A) Accept this management action as reasonable, since raising equity is a standard bank response to capital shortfalls B) Challenge the action on credibility grounds — equity issuance in a systemic stress is typically not achievable, and the assumption requires documented evidence of anchor investors and board resolutions C) Require the institution to raise the £500m capital immediately, before the stress event occurs D) Accept the action if the institution provides a term sheet from an investment bank

Question 7

In the Expected Loss formula EL = PD × LGD × EAD, which component is primarily affected by residential property price falls in a stress scenario?

A) PD only — falling house prices affect borrower ability to repay through wealth effects B) LGD only — falling house prices reduce the collateral value, increasing losses given default C) Both PD and LGD — falling house prices affect both the probability of default (through affordability and wealth effects) and the loss given default (through collateral value reduction) D) EAD only — falling house prices trigger additional drawdowns on mortgage commitments

Question 8

The Bank of England's Climate Biennial Exploratory Scenario (CBES), first conducted in 2021, was explicitly designed as:

A) A capital adequacy test requiring banks to demonstrate minimum capital ratios under climate stress B) A learning exercise designed to assess the financial system's understanding of climate risk and build analytical infrastructure, without a pass/fail capital outcome C) A mandatory annual stress test replacing the Annual Cyclical Scenario for the purposes of climate risk D) A voluntary exercise for the largest UK banks only, with results not publicly disclosed

Question 9

Which of the following best describes the "static balance sheet" assumption used in the EBA EU-wide stress test?

A) The institution's balance sheet as of the test date is used; no growth or shrinkage is modeled during the stress horizon B) The institution models a gradual deleveraging of its balance sheet over the stress horizon C) The institution models its planned balance sheet growth under the baseline scenario D) The institution must assume its balance sheet contracts by 10% per year during the stress horizon

Question 10

Sensitivity analysis differs from scenario analysis primarily in that:

A) Sensitivity analysis applies multiple risk factors simultaneously; scenario analysis applies only one B) Sensitivity analysis applies only one variable while holding all others constant; scenario analysis applies a coherent set of multiple risk factors simultaneously C) Sensitivity analysis is forward-looking; scenario analysis uses historical data only D) Sensitivity analysis is required by regulators; scenario analysis is voluntary

Question 11

The Internal Liquidity Adequacy Assessment Process (ILAAP) uses stress testing to assess:

A) The institution's capital adequacy under a range of adverse macro scenarios B) The institution's ability to fund its obligations over a stress period, including assessment of the survival horizon under combined stress C) The operational risk capital requirement under Basel III Pillar 2 D) The institution's compliance with the Liquidity Coverage Ratio (LCR) under normal market conditions

Question 12

Which of the three NGFS climate scenarios used in the Bank of England's 2021 CBES involves the highest near-term transition risk?

A) Early Action — policy action begins immediately, transition costs are front-loaded B) Late Action — policy is deferred until 2030, then implemented rapidly and disruptively C) No Additional Action — no new policy action; physical risk accumulates but transition risk is minimal D) Coordinated Action — transition costs are spread evenly across the 30-year horizon

Question 13

A bank's ICAAP stress test shows that under the severely adverse scenario, CET1 falls from 12.5% to 9.8% — well above the 4.5% regulatory minimum. A prudential supervisor reviewing this result is most likely to:

A) Accept the ICAAP as demonstrating ample capital adequacy with no further action required B) Focus solely on the absolute CET1 ratio level and not on the magnitude of depletion C) Examine the scenario design to assess whether the scenarios are sufficiently severe given the institution's specific risk concentrations — a 2.7% CET1 decline under a severely adverse scenario may indicate insufficient scenario severity D) Require the institution to hold additional capital equal to the difference between 12.5% and the severely adverse CET1

Question 14

In a reverse stress test binary search implementation, if the current iteration produces a stressed CET1 of 6.2% against a target floor of 4.5%, the next iteration should:

A) Reduce scenario severity — the capital is already above the floor, so the scenario is too severe B) Increase scenario severity — the capital is still 1.7% above the floor, so the scenario is not yet severe enough to reach the floor C) Accept the result — 6.2% is within an acceptable tolerance of 4.5% D) Switch to a narrative construction approach instead of threshold mapping

Question 15

Which of the following is NOT a typical satellite model input variable for estimating stressed residential mortgage default rates?

A) GDP growth rate B) Unemployment rate C) Residential house price index D) LIBOR/SONIA rate volatility (implied volatility)

Question 16

Under PRA Supervisory Statement SS31/15, board engagement with the ICAAP must include:

A) Approval of the ICAAP document, challenge to management actions for credibility, and review of reverse stress test results and their implications for strategic planning B) Only final approval signature; detailed challenge is delegated to the Audit Committee C) Annual review of the ICAAP summary; detailed content is reviewed by senior management only D) Confirmation that the institution's capital ratios exceed regulatory minimums under the baseline scenario

Answer Key and Explanations

Question 1: B

CCAR applies to bank holding companies and US intermediate holding companies of foreign banking organizations (above $100bn assets) and uniquely includes a qualitative assessment of the capital planning process — governance, model risk management, controls — not just quantitative results. The Fed may object to a capital plan on qualitative grounds even if quantitative results appear adequate. DFAST applies to the bank entity (not the holding company) and is primarily a results disclosure exercise. Both use Fed-published scenarios, so option C is incorrect.

Question 2: C

The PRA distinguishes between genuine reverse stress tests that identify institution-specific fragility points and mechanically constructed scenarios that are numerically extreme but lack narrative plausibility. A GDP contraction of -12% in a single peacetime year has no historical precedent in developed economies (the worst post-war UK GDP fall was approximately -6% in 2009). A mechanically severe but narratively implausible scenario does not fulfill the purpose of reverse stress testing. The PRA would challenge the institution to identify what realistic scenario combination could cause failure — likely a more severe but plausible path with a realistic triggering mechanism.

Question 3: B

The ACS's counter-cyclical calibration is its defining feature. During credit booms (when systemic risk is building), the scenario becomes more severe to ensure the stress test remains meaningful. During actual downturns, the scenario is less severe to avoid procyclical capital pressure on banks. This design reflects the Bank of England's view that stress tests should be most demanding precisely when the financial system is most vulnerable.

Question 4: C

The EBA EU-wide stress test is explicitly not a pass/fail exercise. There is no formal CET1 minimum threshold that constitutes a pass. Results are used by national supervisors in the SREP process to calibrate Pillar 2 Requirements for individual institutions. Poor relative performance (large capital depletion compared to peers) can lead to higher Pillar 2 add-ons, but the mechanism runs through the supervisory dialogue rather than an automatic threshold trigger.

Question 5: B

The ICAAP is fundamentally an internal document — a comprehensive assessment by the institution of the capital it needs, not a regulatory form filled in for compliance purposes. The Basel Committee and PRA both emphasize that the ICAAP should be a document the board and senior management genuinely use in capital planning, not a compliance artifact. The supervisors then use the ICAAP as one input into their own capital adequacy assessment (SREP/Pillar 2A/2B determination).

Question 6: B

This is one of the most common supervisory challenge points. Raising new equity capital in a systemic stress — when multiple banks are simultaneously impaired, market confidence in the sector is reduced, and investors are risk-averse — is typically not a credible management action. To be accepted, the assumption requires documented evidence: board resolution authorizing the capital raise, assessment of market conditions under the stress scenario, and ideally evidence of discussions with potential investors. A generic assumption of £500m equity raise with no documentation is not credible.

Question 7: C

Both PD and LGD are affected by house price falls. On the PD side, falling house prices reduce household wealth, can trigger negative equity (which empirically increases mortgage default probability), and affect affordability for variable-rate borrowers through equity release dynamics. On the LGD side, the collateral backing the mortgage is worth less — if a defaulting borrower's property is sold at foreclosure for less than the outstanding mortgage balance, the bank recovers less. A complete stress model captures both channels.

Question 8: B

The Bank of England explicitly designed the 2021 CBES as a learning and capability-building exercise, not a capital adequacy test. There was no pass/fail capital outcome. The exercise was intended to assess the current state of UK banks' and insurers' climate risk analytical capability, identify gaps, and begin building the data and modeling infrastructure for future quantitative assessment. Results were published at a sector level without institution-level capital floor comparisons.

Question 9: A

The EBA's static balance sheet assumption means institutions model their current balance sheet without assuming any new lending, asset growth, or balance sheet management actions during the stress horizon. This contrasts with the dynamic approach used in CCAR and the ACS, where institutions can model their own projections of how the balance sheet evolves. The static assumption simplifies comparability across institutions but has been criticized for overstating losses (banks can in practice shrink their balance sheets in response to stress).

Question 10: B

The fundamental distinction is the number of risk factors varied simultaneously. Sensitivity analysis changes one variable; scenario analysis changes many simultaneously in a coherent macro package. The multi-factor nature of scenario analysis is what makes it appropriate for regulatory capital stress testing — real financial crises involve correlated deterioration across GDP, unemployment, property prices, credit spreads, and other factors simultaneously.

Question 11: B

The ILAAP assesses liquidity adequacy, not capital adequacy. Its core stress testing question is whether the institution can fund its obligations — through existing liquidity buffers, accessible funding markets, and contingent liquidity facilities — during a stress period. The survival horizon (how many days can the institution fund itself without external support?) is a key ILAAP output. The LCR under normal conditions is a separate regulatory metric; the ILAAP stress tests liquidity under adverse conditions.

Question 12: A

Under the Early Action scenario, policy to achieve net zero begins immediately, front-loading transition costs (carbon taxes, regulatory changes, technology transitions) in the near term. This creates higher near-term transition risk than the Late Action scenario (where transition costs are deferred until 2030). The Late Action scenario has higher total transition and physical risk over the full horizon because the rapid late-stage transition is more disruptive and physical risk accumulates during the delay. But in the near term, Early Action produces more immediate transition-related financial stress.

Question 13: C

A key principle of supervisory review is that the outcome of the stress test is only as meaningful as the scenario is genuinely severe. A CET1 depletion of only 2.7 percentage points under a "severely adverse" scenario may reflect insufficient scenario severity rather than genuine capital resilience. The supervisor will examine whether the severely adverse scenario is genuinely severe relative to the institution's risk concentrations — for example, whether a bank with significant commercial real estate exposure applied sufficiently large CRE price shocks. Small CET1 depletion under allegedly severe scenarios is itself a red flag.

Question 14: B

In binary search reverse stress testing, the algorithm seeks the severity scalar that produces a stressed CET1 exactly equal to the floor. If the current iteration produces 6.2% CET1 against a 4.5% floor, the scenario is not yet severe enough — we need more stress to drive capital down to the floor. The algorithm increases severity (raises the lower bound of the search interval) and tries again. The algorithm continues until the stressed CET1 converges to within tolerance of the target floor.

Question 15: D

Standard satellite models for residential mortgage default rates are calibrated to GDP growth, unemployment rate, and residential house price indices — the macro variables with established empirical relationships to mortgage default rates. LIBOR/SONIA implied volatility is an interest rate market metric relevant to derivatives pricing and market risk, but is not a standard direct driver of residential mortgage default rates. Interest rate levels (not volatility) matter for affordability on variable-rate mortgages, but this is typically modeled through the base rate or mortgage rate path, not through implied volatility.

Question 16: A

SS31/15 specifies substantive board engagement: approval of the ICAAP document, genuine challenge to the credibility and feasibility of management actions, and review and understanding of reverse stress test results and their implications for recovery planning and strategic direction. The PRA interviews board members during supervisory reviews to assess the quality of their understanding and challenge. Delegating all substantive review to management and simply signing the document does not meet the regulatory standard.