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FRM Part II · FRM Exam Part II

Contingency Funding Planning: formula sheet

Full chapter guide

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.