CMA Final · Risk Management in Banking and Insurance
Liquidity Risk Management: formula sheet
Key formulas
- Definition of liquidity risk
- Liquidity risk = risk of being unable to meet obligations when due, or only at unacceptable cost
- Use this wording to open any definition answer.
- Funding liquidity risk
- Funding liquidity risk = inability to raise cash or refinance liabilities as needed
- Concerns the liability side: deposits, borrowings, rollover.
- Market liquidity risk
- Market liquidity risk = inability to sell or unwind an asset quickly without a significant price loss
- Concerns the asset side: market depth and exit price.
- Funding gap
- Funding gap = cash outflows − cash inflows in a time band
- A positive gap means the bank must raise funds in that band.
- Framework chain
- Board tolerance → Strategy and policy → Limits → Monitoring by ALCO and risk function → Stress tests and CFP → Board reporting
- Use this as the skeleton for any descriptive answer on governance.
- Mismatch in a time bucket
- Gap = Rate or volume of inflows − outflows in the bucket; Cumulative gap = sum of gaps up to that bucket
- Limits are usually set on mismatches, often as a percentage of cash outflows in the bucket. Take the exact limit from the question or the bank's policy; do not assume one.
- Limit utilisation
- Utilisation % = Actual exposure ÷ Limit × 100
- A value above 100% is a breach and triggers escalation under the policy.
- Core BCBS themes
- Tolerance, funding strategy, measurement, intraday and collateral, stress testing, CFP, disclosure, supervision
- Group the principles under these themes instead of memorising numbers.
- Gap (mismatch) in a bucket
- Gap = Inflows − Outflows
- Negative gap means a funding shortfall in that bucket.
- Cumulative gap
- Cumulative gap = running total of gaps from the first bucket up to the bucket considered
- Cumulative gaps are monitored alongside the limits on individual buckets.
- Mismatch as % of outflows
- Mismatch % = (Inflows − Outflows) ÷ Outflows × 100
- A negative figure is compared with the limit, for example the 20% limit in each of the first four buckets.
- Tolerance limit check
- Negative mismatch ÷ Outflows ≤ 20% (in each of Day 1, 2-7, 8-14 and 15-28 days)
- Applies bucket by bucket to the first four buckets. Apply the limit given in the question; internal limits for longer buckets may differ.
- Liquid assets to total assets
- Liquid assets ÷ Total assets × 100
- Higher means a bigger cushion.
- Loan to deposit ratio
- Total loans ÷ Total deposits × 100
- A high ratio means more reliance on other funds.
- Volatile liabilities dependence
- (Volatile liabilities − Temporary assets) ÷ (Earning assets − Temporary assets) × 100
- Use the definitions given in the question. Lower is safer.
- Liquidity Coverage Ratio
- LCR = Stock of HQLA ÷ Total net cash outflows over the next 30 days ≥ 100%
- Computed after applying haircuts and the caps on Level 2 assets.
- Net cash outflows
- Net cash outflows = Total expected outflows − Min(Total expected inflows, 75% × Total expected outflows)
- Inflows are capped at 75% of outflows, so net outflow is at least 25% of outflows.
- Expected outflow or inflow
- Amount × run-off rate (outflow) or Amount × inflow rate (inflow)
- Use the rates given in the question. Do not use remembered rates if the question supplies them.
- HQLA stock
- HQLA = Level 1 + Level 2A × (1 − 15%) + Level 2B × (1 − haircut)
- Level 2 assets cannot exceed 40% of HQLA; Level 2B cannot exceed 15%. Apply caps when the question gives enough data.
- Net Stable Funding Ratio
- NSFR = Available Stable Funding ÷ Required Stable Funding ≥ 100%
- ASF = Σ (liability or capital × ASF factor). RSF = Σ (asset or off-balance item × RSF factor).
- Stressed net cash outflow
- Stressed net outflow = Stressed cash outflows − Stressed cash inflows
- Compute for each time bucket and each scenario. Apply the scenario's run-off and haircut assumptions first.
- Survival check
- Surplus or shortfall = Available liquid assets (after haircuts) − Stressed net outflow
- A negative figure is a funding gap that the CFP must cover. Haircuts reduce the value of securities before counting them.
- Deposit run-off
- Stressed outflow on deposits = Deposit balance × Run-off rate
- Use higher rates for large and wholesale deposits than for small, stable retail deposits.
- Survival period
- Survival period = Available liquid assets ÷ Average daily stressed net outflow
- Gives the number of days the bank can last without new funding. It is an indicative measure.
- CRR requirement
- Required cash with RBI = CRR % × NDTL
- Cash balance with RBI; earns no interest. The percentage is set by RBI and changes over time, so use the rate given in the question.
- SLR requirement
- Required liquid assets = SLR % × NDTL
- Held by the bank in cash, gold or approved securities that are unencumbered. Securities pledged elsewhere may not count.
- Policy corridor (typical structure)
- SDF rate = Repo rate − 0.25%; MSF rate = Repo rate + 0.25%
- This is the framework since 2022. Use the spreads only if the question does not give the rates. MSF rate is the same as the Bank Rate.
- Interest cost of overnight borrowing
- Cost = Amount × Rate × Days ÷ 365
- Use for comparing repo and MSF cost.
- Excess or shortfall
- Excess/shortfall = Actual held − Required
- Compute separately for CRR and SLR.
Quick revision
- Liquidity risk is the risk of being unable to meet obligations when due without unacceptable losses.
- Funding liquidity is the ability to raise cash; market liquidity is the ability to sell assets without a big price fall.
- The board approves the liquidity risk appetite; ALCO manages it day to day.
- Gap = rate-sensitive or maturing inflows minus outflows in a time bucket; a negative gap means a funding need.
- Cumulative gap adds the bucket gaps over time and shows the total funding pressure.
- LCR = stock of high-quality liquid assets ÷ total net cash outflows over the next 30 days.
- NSFR = available stable funding ÷ required stable funding, aimed at a one-year horizon.
- LCR is a short-term resilience measure; NSFR limits long-term reliance on unstable funding.
- Stress tests use scenarios such as a deposit run, a market shock or a rating downgrade.
- A contingency funding plan sets triggers, funding sources, roles and communication for a crisis.
- Check the current RBI facilities and minimum ratios before the exam, since they can change.
Common mistakes
- Treating liquidity risk as the same as insolvency. Fix: Remember a bank can be solvent, with assets above liabilities, and still be illiquid. Liquidity is about timing and cash; solvency is about net worth.
- Mixing up funding and market liquidity risk. Fix: Funding is about raising cash (liabilities). Market is about selling assets (asset side). Use the raise or sell test.
- Saying ALCO approves the liquidity strategy instead of the board. Fix: Remember that the board approves strategy, policy and tolerance. ALCO implements, monitors and recommends within that.
- Listing BCBS principles from memory with wrong counts or numbers. Fix: Learn the themes (tolerance, funding, measurement, stress tests, CFP, disclosure, supervision) and describe them in your own words.
- Dividing the gap by inflows or total assets instead of outflows. Fix: For the mismatch limit, always divide the negative gap by outflows of that bucket.
- Placing items by original maturity. Fix: Use residual maturity, the time remaining from the reporting date.
- Forgetting the 75% cap on inflows. Fix: Always compute 75% of outflows and use the lower of that and inflows.
- Applying no haircut to Level 2 assets. Fix: Only Level 1 counts at full value. Level 2A takes a 15% haircut; use the stated haircut for Level 2B.
- Treating stress testing as a forecast of what will happen. Fix: Say it tests resilience under severe but plausible events. It informs buffers and limits.
- Listing only bank-specific scenarios. Fix: Always cover bank-specific, market-wide and combined scenarios.
Exam tips
- Open every theory answer with a one-line definition, then the two types, then sources. This structure earns marks quickly.
- In case-based MCQs, look for the verb: raise, borrow, roll over means funding; sell, unwind, exit price means market.
- Use bank examples: deposits, interbank borrowing, loan commitments, government securities.
- For 'why do banks face liquidity risk', give maturity transformation first, then three or four other sources.
- End longer answers with a short line on management: measuring gaps, buffers, diversified funding and stress tests.
- Structure answers by level: board, management, ALCO, risk function, reporting. Examiners reward clear role separation.
- In case-based MCQs, look for who is acting beyond their role, or a missing limit, stress test or escalation.
- For policy questions, list tolerance, limits, roles, reporting and escalation. Add one line on stress testing and the contingency plan.