A bank can report a profit while using more capital than that profit justifies. It can also meet today's capital ratio and fail after a recession, falling revenue, and planned dividends. Risk-adjusted performance and capital planning connect these decisions: which activities deserve scarce capital, and how much capital will remain when conditions change?
Value at risk describes a loss quantile under a specified model, horizon, and confidence level. A stress test asks what a particular adverse environment would do to the bank. Its loss is conditional on that scenario; the exercise does not automatically assign the scenario a probability. Stress tests supplement risk measures by exposing concentrations, nonlinear losses, liquidity interactions, and assumptions that look harmless in ordinary conditions.
The assigned Schuermann reading describes the evolution through the crisis and the early post-crisis period. The 2009 US Supervisory Capital Assessment Program (SCAP) was an emergency exercise to estimate capital needs, restore confidence through disclosure, and support recapitalization with a credible public backstop.
Common mistakes
- Treating a scenario loss as a stated confidence quantile. A scenario requires a coherent narrative, not an invented probability.
- Calling a joint price movement impossible without examining timing or policy responses. Challenge its explanation and transmission to the bank.
- Adding capital income already included in revenue, or mixing pre-tax and after-tax amounts. State the convention before calculating RAROC.
Bottom line
- Stress tests translate coherent scenarios into losses, resources, and capital paths; they do not automatically provide probabilities.
- Compare historical programs by purpose, coverage, methods, disclosure, and credible responses.
- RAROC needs consistent expected loss, capital, funding, and tax conventions; count capital income once.
- Apply the activity hurdle, or compare adjusted RAROC with the risk-free rate.
Exam shortcut
For a RAROC question, label the numerator convention, economic-capital denominator, and hurdle before calculating. For a stress question, trace the scenario through revenue, losses, capital, and RWA. For a planning decision, check the timing and credibility of the proposed action as well as the final ratio.
The full lesson (about 4,242 words, 28 min read) adds 3 worked examples, all 6 common mistakes, a self-check, free in the app.
Learning objectives
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
- 15
- 16
- 17
- 18
- 19
- 20
- 21
- 22
- 23
- 24
Browse all free FRM Part II lessons or jump into free FRM Part II practice questions.