Walk through how a liquidity stress test is reported and interpret the resulting report.
The idea
A liquidity stress test report should let a reader judge the result and trust it. It states the scenario (idiosyncratic, market-wide or combined), the horizon, and the key assumptions: run-off rates, rollover, haircuts and drawdowns. It then shows, by time bucket, stressed outflows against inflows and the counterbalancing capacity of unencumbered liquid assets, the cumulative surplus or shortfall, and the survival horizon, which is the first point at which cumulative stressed outflows exceed capacity. Results are compared with risk appetite and limits, supported by sensitivity analysis, and linked to management actions and the contingency funding plan. A reverse stress test starts from failure and works back to the scenario that causes it. The usual errors are comparing single-period outflows rather than cumulative ones, accepting optimistic assumptions such as full rollover in a market-wide stress, and softening scenarios rather than acting when a result breaches appetite.
A practice question
Which of the following is a core element of a liquidity stress test report?
- The bank's average daily trading volume in each product, with the largest positions highlightedWhy not: Describes a market activity report, not the stress test's cash-flow results.
- The scenario definition and key assumptions, stressed cash flows against counterbalancing capacity by time bucket, and the resulting survival horizon - correct
- A single pass or fail verdict, with the models and assumptions kept confidential to protect the bank's methodologyWhy not: Concealing assumptions prevents readers from judging the result; good practice reports assumptions transparently.
- The bank's regulatory capital ratio under stress, with the liquidity position omittedWhy not: Confuses a capital stress test with a liquidity stress test; the liquidity report must show cash flows and liquid assets.
A stress test report sets out scenario, assumptions, stressed flows against counterbalancing capacity by bucket, and the survival horizon. Without the assumptions, the result cannot be challenged.
A harder one
A stress test shows a bank has USD 1,000 million of counterbalancing capacity after haircuts. Stressed net outflows in weeks 1 to 4 are USD 300, 350, 250 and 200 million respectively. Assuming outflows occur evenly within each week, what is the survival horizon, in weeks?
- 3.5 weeks - correct
- 3.64 weeksWhy not: Divides capacity by the average weekly outflow (1,000 / 275), ignoring that outflows are uneven by week.
- 4.0 weeksWhy not: Compares each week's outflow with the capacity rather than cumulative outflows, and so concludes the bank survives all four weeks.
- 3.0 weeksWhy not: Counts only complete weeks and ignores the 100 of capacity that still covers half of week 4.
Remaining capacity is 700, 350, 100 after weeks 1 to 3. Week 4 outflow is 200, so the 100 remaining lasts half a week: survival horizon = 3 + 100/200 = 3.5 weeks.
The hardest tier
In a stress test, a bank has counterbalancing capacity of USD 300 million. Net stressed outflows other than retail deposits are USD 150 million. Retail deposits of USD 2,000 million are assumed to run off at 5 percent in the base stress. At what retail run-off rate would the bank exactly exhaust its capacity?
- 15.0 percentWhy not: Divides the whole capacity by deposits (300 / 2,000), ignoring the 150 of other stressed outflows.
- 22.5 percentWhy not: Adds the other outflows to the capacity (300 + 150) instead of subtracting them.
- 7.5 percent - correct
- 12.5 percentWhy not: Uses the base-case total outflow of 250 (100 from deposits plus 150) as if it were the net room for deposits.
Capacity left for deposit outflows is 300 - 150 = 150. Break-even run-off = 150 / 2,000 = 7.5 percent. At the base 5 percent the bank has a surplus of 50; at 10 percent it has a shortfall of 50.
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