FRM Part II · FRM Exam Part II
Contingency Funding Planning: formula sheet
Key formulas
- Stress funding gap
- Stress funding gap = Stressed cash outflows − Stressed cash inflows − Liquidity buffer available
- A positive gap must be covered by contingent sources in the CFP. Use post-haircut buffer values.
- Survival horizon
- Survival horizon = time until cumulative net outflows exhaust the counterbalancing capacity
- The CFP should cover at least the horizon used in stress tests.
- Core CFP elements
- Triggers + Roles + Sources + Actions + Communication + Testing
- Use as a checklist to recognise a complete plan.
- Cumulative net outflow
- Cumulative net outflow(t) = Σ (outflows − inflows) over days 1 to t
- Compare with buffer after haircuts to find when it is exhausted.
- Stress type classification
- Idiosyncratic = firm-specific; Market-wide = affects many firms; Combined = both at once
- Combined stress is the most severe because mitigants such as asset sales and new funding are also impaired.
- Early warning indicator logic
- Indicator → threshold breached → trigger → escalation / CFP activation
- An indicator without a threshold and a defined action is only information, not a control.
- Liquidity coverage ratio (for reference)
- LCR = Stock of HQLA ÷ Total net cash outflows over 30 days ≥ 100%
- A regulatory metric that firms often also use as an internal indicator with an early warning level above the minimum.
- Survival horizon
- Survival horizon = the first day t at which Cumulative net stressed outflows(t) > Counterbalancing capacity(t)
- Capacity must be measured after stressed haircuts and excluding encumbered assets. Capacity may change over time as assets are monetised.
- Net stressed cash outflow
- Net outflow(t) = Stressed outflows(t) − Stressed inflows(t)
- Inflows are often capped or haircut in stress, because counterparties may not pay or may not roll.
- Stressed value of a liquid asset
- Stressed value = Market value × (1 − haircut)
- Haircuts are larger for lower-quality assets and in market-wide scenarios.
- Liquidity surplus or shortfall
- Surplus (shortfall) = Counterbalancing capacity − Cumulative net stressed outflows
- A negative figure at a given horizon means a funding gap the CFP must cover.
- Run-off outflow
- Outflow = Balance × run-off rate
- Rates differ by funding type and by scenario, with higher rates for uninsured and wholesale funding.
- Secured borrowing proceeds
- Cash raised = Collateral market value × (1 − haircut)
- Use the stressed haircut if the question describes stress.
- Collateral needed
- Collateral required = Cash needed ÷ (1 − haircut)
- Rearranged form. Divide by (1 − haircut), do not multiply by (1 + haircut).
- Usable buffer
- Usable buffer = Σ (market value × (1 − haircut)) for unencumbered eligible assets
- Exclude pledged or ineligible assets.
- Survival horizon test
- Survival horizon is met if counterbalancing capacity ≥ cumulative stressed net cash outflows
- Compare capacity with outflows over the chosen horizon.
- LCR
- LCR = Stock of HQLA ÷ Total net cash outflows over the next 30 calendar days ≥ 100%
- Net outflows are stressed outflows less capped inflows.
- Escalation logic
- EWI breach → assess severity → pre-set level → matching body and actions
- Higher severity means more senior decision makers and wider actions. Triggers are set in advance.
- Accountability chain
- Board approves → Senior management owns → Treasury executes → Risk and audit challenge
- Board does not run the crisis; it sets appetite and oversees. Management and the CMT act.
- Plan review cycle
- Test → find gaps → update → board approval
- Review at least annually and after any material change or real stress event.
- Survival horizon
- Survival horizon = number of days the bank can meet outflows using its liquid resources under a stress scenario
- A shrinking horizon is a common escalation trigger.
- Survival horizon
- Survival horizon = number of days until cumulative net stressed outflows exceed the liquidity buffer
- A CFP should show the bank can survive the horizon set by its risk tolerance under stress.
- Net stressed cash outflow
- Net outflow = stressed outflows − stressed inflows (inflows usually capped or haircut)
- Haircut collateral at stressed values, not market values on a calm day.
- Liquidity Coverage Ratio
- LCR = Stock of HQLA ÷ Total net cash outflows over the next 30 days ≥ 100%
- Basel III short-term resilience ratio. The 30-day stress is a minimum, not a full CFP horizon.
- Net Stable Funding Ratio
- NSFR = Available stable funding ÷ Required stable funding ≥ 100%
- Targets structural maturity mismatch over one year, which addresses the pre-crisis reliance on short-term wholesale funding.
Quick revision
- A CFP is a plan of actions for liquidity stress, not a daily cash forecast.
- A good CFP sets out triggers, responsibilities, funding sources, and communication steps.
- Early warning indicators include falling deposits, rising funding costs, widening spreads and credit rating pressure.
- Idiosyncratic stress hits one firm; market-wide stress hits many firms and lowers asset liquidity.
- Combined scenarios are the most severe and usually the most useful for planning.
- Liquidity stress tests should use assumptions on run-off, haircuts and loss of market access.
- Liquidity buffers should be unencumbered and quickly convertible to cash.
- Contingent sources include asset sales, repo, committed lines and central bank facilities, each with limits.
- Central bank borrowing can carry stigma and needs eligible collateral to be pre-positioned.
- Governance needs clear ownership, senior management escalation and board oversight.
- Communication with regulators, markets and customers is part of the plan.
- Past crises showed that funding concentration and reliance on short-term wholesale funding amplify stress.
Common mistakes
- Treating the CFP as the same thing as the liquidity buffer. Fix: The buffer is a stock of assets. The CFP is the action plan that uses the buffer and other sources.
- Thinking a CFP is only for bank-specific problems. Fix: A CFP should cover idiosyncratic, market-wide and combined scenarios.
- Calling any stress event market-wide because markets are mentioned. Fix: Check whether peers are also affected. If only one firm's funding is withdrawn, it is idiosyncratic even if markets are open.
- Assuming asset sales are always a reliable mitigant. Fix: In market-wide and combined stress, asset prices fall and buyers disappear. Assume lower sale value and higher haircuts.
- Valuing the buffer at market value instead of after stressed haircuts. Fix: Always apply the haircut first. Buffer = Market value × (1 − haircut).
- Treating idiosyncratic and systemic scenarios as the same thing. Fix: Idiosyncratic is firm-specific and markets still work. Systemic is market-wide and asset markets and funding are impaired. Combined is both and is usually the most severe.
- Counting pledged assets in the buffer. Fix: Only unencumbered assets count. An asset already used as collateral is gone.
- Using market value without applying the haircut. Fix: Always compute value × (1 − haircut) before totalling.
- Saying the board runs the crisis response day to day. Fix: The board approves the CFP and risk appetite and oversees. The CMT and senior management execute.
- Treating escalation as a purely discretionary call. Fix: Good plans have defined triggers and levels, with room for judgement on top. Pre-set thresholds avoid delay.
Exam tips
- Distinguish clearly between CFP, liquidity buffer, stress test and funds transfer pricing. Many wrong options borrow words from the others.
- Expect case questions asking what a CFP should include or what is weak in a given plan: look for missing triggers, untested sources, or no ownership.
- In numerical items, apply haircuts before netting.
- Remember that the CFP should be based on stress test results and reviewed and tested regularly.
- Read the first sentences carefully to see whether peers are affected. This decides the stress type.
- Combined stress is usually the most severe. Expect questions asking which scenario needs the most conservative assumptions.
- When asked for the best early warning indicator, choose the leading, forward-looking one, not the outcome.
- Expect questions linking breached thresholds to escalation and CFP activation. Know the order: indicator, threshold, trigger, action.