FRM Part II · FRM Exam Part II
Liquidity Transfer Pricing: A Guide to Better Practice: formula sheet
Key formulas
- Transfer price (conceptual build-up)
- Transfer price = base rate for the matching term + liquidity premium (+ contingent liquidity charge)
- This is a conceptual structure, not a fixed regulatory formula. The base rate covers interest rate risk; the premium covers the bank's term funding cost.
- Business line margin after LTP
- Net margin = customer rate − transfer price (for assets); transfer credit − customer rate paid (for liabilities)
- The business line earns the spread over the internal price. Treasury keeps the residual mismatch.
- Matching principle
- Transfer term = behavioural or contractual maturity of the product
- Assets and liabilities are priced at the term of their liquidity profile. Use behavioural maturity when contractual maturity misleads, such as stable core deposits or prepayable loans.
- Transfer price for an asset
- Transfer price = matched-term funding rate (from the LTP curve) + liquidity premium for the asset's term and liquidity profile
- Charged by treasury to the lending unit. Longer or less liquid assets get a higher charge.
- Transfer credit for a liability
- Transfer credit = matched-term funding rate (from the LTP curve) − liquidity discount for early-withdrawal risk
- Paid by treasury to the deposit-gathering unit. Less stable deposits get a lower credit.
- Business unit net margin after LTP
- Net margin = customer rate − transfer price (assets); transfer credit − customer rate paid (liabilities)
- Shows the margin after liquidity cost. Compare it with margin before LTP.
- Contingent liquidity charge
- Charge = undrawn commitment × assumed drawdown rate in stress × liquidity cost rate
- Illustrative structure, not a regulatory formula. The drawdown assumption comes from stress testing.
- Funding charge on an asset
- Charge = Balance × transfer rate at behavioral tenor
- Use expected life after prepayment, not contractual maturity.
- Funding credit on a liability
- Credit = Stable balance × transfer rate at behavioral tenor + volatile balance × short-tenor rate
- Split core and non-core deposits before assigning tenors.
- Transfer rate build-up
- Transfer rate = base funding curve rate + term liquidity premium
- Premium should reflect the bank's own cost of term funding.
- Contingent liquidity charge
- Charge = Undrawn amount × stress drawdown % × buffer cost rate
- Buffer cost rate = yield on funding minus yield on liquid assets.
- Buffer carry cost
- Buffer cost = Buffer size × (funding cost − liquid asset yield)
- This is the amount allocated to business units.
- Buffer allocation
- Unit share = unit stress outflow ÷ total stress outflow
- Allocate by contribution to liquidity risk, not by size alone.
- FTP rate for a tenor
- FTP(t) = Base rate(t) + Liquidity premium(t)
- Base rate is risk-free or swap; premium reflects the bank's marginal term funding cost over base.
- Liquidity premium
- Liquidity premium(t) = Bank marginal funding yield(t) − Base rate(t)
- Includes the bank's credit spread and term premium. Use current, marginal cost.
- Business unit net interest margin (matched)
- Margin = Customer rate − FTP(behavioural maturity)
- For a deposit, the credit is FTP(t) − Deposit rate.
- Pooled rate
- Pool rate = Total funding cost ÷ Total funds in pool
- One average rate for all maturities; ignores tenor.
- Weighted average FTP for multi-tranche funding
- Σ(wᵢ × rateᵢ), where wᵢ = share of tranche i
- Used for blending secured and unsecured funding costs.
- Net liquidity result of a unit
- Unit liquidity result = Liquidity credits on liabilities − Liquidity charges on assets − Charges for contingent exposures
- A positive result means the unit provides net liquidity to the bank. A negative one means it consumes liquidity.
- Funding charge on an asset
- Charge = Internal LTP rate for the asset's term × Balance
- Use the term or behavioral life of the asset, not the contractual funding actually used by the unit.
- Cross-subsidy test
- Cross-subsidy = Charge applied − Charge that reflects true liquidity cost
- If the charge applied is lower than true cost, the unit is subsidised. If higher, it subsidises others.
- Core governance rule
- Board sets tolerance → ALCO approves policy and curve → Treasury operates → Risk and audit challenge
- Know who approves, who runs and who challenges.
Quick revision
- LTP allocates the cost and benefit of liquidity to the business units that create or use it.
- Assets using funds pay a charge. Liabilities providing funds earn a credit.
- Treasury is the internal counterparty that centralises liquidity management.
- Price should match the liquidity profile and tenor of the product, not just its contractual maturity.
- Contingent exposures, such as undrawn commitments, carry liquidity risk and should be priced.
- Unpriced or underpriced liquidity encourages excessive growth in liquidity-consuming business.
- Overpaying for deposits rewards gathering funds that may be unstable.
- The curve combines a funding cost base with a liquidity premium that reflects stress costs.
- Behavioural maturity, not only contractual maturity, matters for deposits and lines.
- Transparency, regular review and clear ownership are core governance features.
- Prices must be linked to performance measurement, or incentives will not change behaviour.
Common mistakes
- Treating LTP and FTP as identical. Fix: Remember FTP is the whole internal funding charge, including interest rate risk; LTP is the liquidity component of it.
- Thinking LTP is only a charge on assets. Fix: Remember liabilities that provide stable funding earn a credit, and contingent commitments carry a charge too.
- Using one average funding cost for every product. Fix: Always read the rate off the curve at the product's term. A single rate subsidises long assets and penalises short ones.
- Ignoring off-balance-sheet items such as committed credit lines. Fix: Remember comprehensive coverage includes contingent liquidity. Undrawn commitments can be drawn in stress and need a charge.
- Using contractual maturity for the transfer rate. Fix: Use expected life after prepayments, and the stable share and observed behavior for deposits.
- Treating all deposits as overnight funding. Fix: Split into core and volatile parts. Credit the core part at a longer tenor.
- Using the bank's average historical funding cost as the curve. Fix: Use marginal, current cost of raising new funds at each tenor.
- Using the risk-free curve alone with no liquidity premium. Fix: Always add the bank's liquidity premium, which includes credit spread and term premium.
- Treating LTP as a Treasury-only technical exercise Fix: Remember that governance, ALCO approval and incentives decide whether LTP works.
- Ignoring contingent liquidity risk Fix: Include a charge for contingent exposures such as credit lines and liquidity facilities. Their omission was a crisis-era failure.
Exam tips
- Questions usually ask for the purpose: aligning incentives with risk appetite by allocating liquidity costs and benefits. Look for that wording.
- Know the direction of flows: users of liquidity are charged, providers are credited.
- Expect scenarios where one option uses a flat rate or lets business lines set prices. These are usually wrong.
- Remember contingent liquidity risk, such as undrawn commitments and buffer costs, is part of a complete framework.
- Treasury's central role and board-level governance often decide between two plausible answers.
- Name the principle precisely: comprehensive coverage, matched-term pricing, transparency or consistency with risk appetite.
- Contingent exposures such as undrawn commitments are a favourite trap. If the question mentions them, coverage is likely the answer.
- In calculations, check the term and the direction of the flow before you subtract.