FRM Exam Part II · Liquidity Risk Management

Liquidity Risk Measurement and Stress Testing for FRM Part II

Q: What is the difference between a funding gap and a liquidity gap?

Both compare inflows and outflows over time buckets. People often use them interchangeably. Some texts use funding gap for the shortfall that must be raised in the market and liquidity gap for the ladder of net cash flows. Check how the question defines it.

Q: What is a survival horizon?

It is the length of time a firm can meet stressed net outflows using its liquidity buffer without new market funding. A longer horizon means more resilience. Regulators and boards set minimums.

Q: What is reverse stress testing in liquidity risk?

It starts from the outcome, such as the buffer being exhausted, and works back to find the scenarios that cause it. It highlights hidden vulnerabilities that standard scenarios may miss.

Q: How is liquidity stress testing different from VaR?

VaR estimates a loss quantile from market moves. Liquidity stress testing projects cash flows and buffers under severe scenarios and asks whether obligations can be met. The output is a surplus, shortfall or survival time.

Updated 11 October 2026 · Fact-checked

Liquidity risk measurement tracks whether a bank can meet cash obligations as they fall due. You project cash inflows and outflows by time bucket, compute gaps and cumulative gaps, compare them with the liquidity buffer, then stress the assumptions. The survival horizon is how long the buffer covers the stressed net outflows.

Understand Liquidity Risk Measurement and Stress Testing

Liquidity risk is the risk that a firm cannot meet its payment obligations when due, or can do so only at a very high cost. Funding liquidity risk is about raising cash or rolling over debt. Market liquidity risk is about selling assets without moving the price. This topic focuses on measuring the first kind and checking it under stress.

Start with a cash-flow ladder. List expected contractual inflows (loan repayments, maturing assets) and outflows (deposit withdrawals, maturing debt, margin calls) in time buckets such as overnight, 1 week, 1 month and 3 months. The net funding gap in each bucket is inflows minus outflows. The cumulative gap adds the buckets up. A negative cumulative gap means you must fund the shortfall from a buffer or new borrowing.

Contractual flows are not enough. Real behaviour differs: some deposits are sticky, and some credit lines get drawn in a crisis. So you add behavioural assumptions, such as run-off rates for deposits and draw-down rates for committed facilities. Under stress these assumptions get harsher, and asset sale values fall through haircuts.

The buffer is the counterbalancing capacity: cash, central bank reserves and unencumbered high-quality liquid assets, valued after haircuts. Compare it with stressed cumulative outflows. The survival horizon is the longest period for which the buffer covers the stressed net outflows. Regulators set minimum horizons, and the Basel LCR uses a 30-day stress.

Monitoring metrics complement the ladder: the loan-to-deposit ratio, the share of wholesale funding, funding concentration by counterparty or currency, the maturity profile of debt, and the unencumbered asset stock. Reverse stress testing works backwards: it asks what scenario would exhaust the buffer, and so reveals the key weaknesses.

Key formulas to remember

Net funding gap (per bucket): Gap = Cash inflows − Cash outflows; Negative means a shortfall in that bucket.
Cumulative gap: Cumulative gap(t) = Σ Gap(i) for buckets i = 1 to t; Compare with the buffer at each horizon, not just the last one.
Stressed buffer: Buffer = Σ [Market value of asset × (1 − haircut)]; Include only unencumbered, readily saleable assets.
Survival horizon: Longest horizon t where Buffer + Cumulative gap(t) ≥ 0; Cumulative gap is negative when outflows exceed inflows. Use stressed flows.
Liquidity Coverage Ratio: LCR = Stock of HQLA ÷ Total net cash outflows over 30 days ≥ 100%; Net outflows = outflows − min(inflows, 75% of outflows).
Loan-to-deposit ratio: Loans ÷ Deposits; A higher ratio means more reliance on wholesale funding.

How to solve Liquidity Risk Measurement and Stress Testing questions

Use this order for any liquidity measurement or stress testing question.

1Identify the risk type: funding liquidity, market liquidity, or both, and the time horizon asked.
2List the contractual inflows and outflows by time bucket and compute the gap in each.
3Apply the stress assumptions given: run-off rates, draw-downs, reduced inflows, haircuts.
4Build the cumulative gap bucket by bucket after stress.
5Value the buffer after haircuts, using only unencumbered liquid assets.
6Compare buffer with the cumulative stressed shortfall at each horizon and find the survival horizon or surplus.
7Interpret the result: state whether the limit or regulatory minimum is met and what action follows, such as raising buffers or diversifying funding.

Quickest way: Buffer minus cumulative outflow check

When to use it: Use for numerical MCQs that give a buffer and stressed flows and ask for the surplus, shortfall or survival period.

Apply haircuts to the buffer first and total it.
Apply run-off or draw-down rates to get stressed outflows; reduce inflows if told.
Take net outflow = stressed outflows − stressed inflows.
Subtract net outflow from the buffer, or divide the buffer by daily net outflow for days.
Check which option matches before reading the long text again.

Common mistakes in Liquidity Risk Measurement and Stress Testing

Using the unhaircut market value of assets in the buffer.
The balance sheet value looks like the cash available.
Fix: Multiply each asset by (1 − haircut) before adding. Stress raises haircuts.
Treating contractual flows as the stressed case.
Contractual maturities are easy to read from a table.
Fix: Always apply behavioural run-off and draw-down assumptions given in the question.
Counting encumbered assets as available liquidity.
They are still on the balance sheet.
Fix: Include only unencumbered assets that can be sold or repoed quickly.
Looking only at the final cumulative gap.
Students assume a final surplus means safety.
Fix: Check every bucket. A short-term shortfall can sink a firm even if the 3-month gap is positive.
Confusing liquidity stress testing with VaR.
Both are risk measures with scenarios.
Fix: Liquidity stress testing measures cash survival under scenarios, not a loss quantile at a confidence level.
Assuming full inflow credit in stress.
Inflows are treated as certain.
Fix: Haircut or cap inflows. Under the LCR, inflows are capped at 75% of outflows.

Worked examples

Example 1

A bank has unencumbered assets: cash $200 million, government bonds $600 million (haircut 5%) and corporate bonds $400 million (haircut 25%). Under stress, 30-day net cash outflows are $1,000 million. What is the surplus or shortfall of the buffer over 30 days?

Show the solution

Cash after haircut: $200 million (no haircut).
Government bonds: 600 × (1 − 0.05) = $570 million.
Corporate bonds: 400 × (1 − 0.25) = $300 million.
Buffer = 200 + 570 + 300 = $1,070 million.
Surplus = 1,070 − 1,000 = $70 million.

Answer: Surplus of $70 million. The buffer covers the 30-day stressed net outflow.

Example 2

A bank's stressed net outflows are $40 million per day, evenly spread, with no inflows beyond this. Its haircut-adjusted buffer is $500 million. What is the survival horizon in days, and does it meet a 15-day internal minimum?

Show the solution

Survival horizon = buffer ÷ daily net outflow.
500 ÷ 40 = 12.5 days.
The buffer is exhausted partway through day 13, so the full-day horizon is 12 days.
Compare with 15 days: 12.5 < 15.

Answer: About 12.5 days (12 full days). It fails the 15-day minimum, with a shortfall of 2.5 days of coverage, equal to $100 million of extra buffer.

Exam tips

Read whether the question gives stressed or contractual flows. Do not stress twice.
Apply haircuts before comparing assets with outflows. Most numerical traps sit here.
Expect interpretation questions: which metric shows funding concentration, or what does reverse stress testing do.
Know the survival horizon definition and the 30-day LCR horizon, and keep units (million versus billion) consistent.
In scenario questions, pick the answer that combines idiosyncratic and market-wide stress when asked for the most severe case.

Practice questions from Liquidity Risk Management

Liquidity Risk Measurement and Stress Testing in other exams

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

Liquidity Risk Measurement and Stress Testing: frequently asked questions

What is the difference between a funding gap and a liquidity gap?

Both compare inflows and outflows over time buckets. People often use them interchangeably. Some texts use funding gap for the shortfall that must be raised in the market and liquidity gap for the ladder of net cash flows. Check how the question defines it.

What is a survival horizon?

It is the length of time a firm can meet stressed net outflows using its liquidity buffer without new market funding. A longer horizon means more resilience. Regulators and boards set minimums.

What is reverse stress testing in liquidity risk?

It starts from the outcome, such as the buffer being exhausted, and works back to find the scenarios that cause it. It highlights hidden vulnerabilities that standard scenarios may miss.

How is liquidity stress testing different from VaR?

VaR estimates a loss quantile from market moves. Liquidity stress testing projects cash flows and buffers under severe scenarios and asks whether obligations can be met. The output is a surplus, shortfall or survival time.