FRM Exam Part II · Future Value and Exposure
Netting, Collateral and Margin Effects on Counterparty Exposure
Updated 11 October 2026 · Fact-checked
Close-out netting lets you offset positive and negative trade values with one counterparty, so exposure is max(sum of values, 0) rather than the sum of positive values. Collateral then cuts exposure by the margin held, but threshold, minimum transfer amount and margin period of risk leave a residual gap.
Understand Netting, Collateral and Margin Effects on Exposure
Start with raw exposure. If a counterparty defaults, you lose only on trades where you are owed money. Exposure on one trade is max(V, 0), where V is its mark-to-market value to you. Without netting, the bank must add up these positive values across all trades, even if other trades with the same counterparty are worth negative amounts to you.
Close-out netting changes this. Under an enforceable master agreement, on default all trades in the netting set are terminated and replaced by a single net amount. Exposure becomes max(ΣV, 0). Netting never increases exposure. It helps most when trade values have mixed signs. It helps nothing if all trades are positive. Netting is only valid if it is legally enforceable in the relevant jurisdictions.
Collateral works on top of netting. The counterparty posts margin against the net exposure, so your loss is the net exposure minus collateral held, floored at zero. Variation margin follows mark-to-market changes. Initial margin is an extra buffer against moves during the close-out period.
Collateral is never perfect, because of frictions. A threshold is an amount of uncollateralised exposure you accept before any call is made. A minimum transfer amount (MTA) is the smallest call that will actually be made. An independent amount is extra collateral posted regardless of exposure. Call frequency and settlement delays add further lag.
The key concept is the margin period of risk (MPOR). It is the time from the last successful margin exchange, when the counterparty was still performing, to the point where the defaulted counterparty's position is closed out and hedged. During it, exposure can grow with no new collateral arriving. So collateralised exposure is the exposure at the end of the MPOR, less collateral held at the start. Longer MPOR, wider spreads, illiquid trades and disputes all make it longer and exposure larger.
Key formulas to remember
- Uncollateralised exposure, one trade
- E = max(V, 0)
- V is the mark-to-market value to you. Negative value means no loss to you on default.
- Exposure without netting
- E(no netting) = Σ max(Vᵢ, 0)
- Sum of positive trade values only.
- Exposure with close-out netting
- E(netting) = max(Σ Vᵢ, 0)
- Always ≤ exposure without netting. Applies per netting set, not across counterparties.
- Netting benefit
- Benefit = E(no netting) − E(netting)
- Zero when all trades have the same sign.
- Collateralised exposure (static)
- E(coll) = max(V − C, 0)
- C is collateral held, V is net value of the netting set.
- Collateral called with threshold and MTA
- Call = max(V − Threshold − C, 0), made only if the amount ≥ MTA
- Applies to collateral called from the counterparty. Ignores independent amount and rounding.
- Exposure over the MPOR
- E(coll) = max(V(t + MPOR) − C(t), 0)
- C(t) is collateral held at the last margin call before default.
- Maximum uncollateralised gap at the call date (rule of thumb)
- Gap ≈ Threshold + MTA (at the call date only, before any MPOR move)
- Right after a margin exchange, collateral can be short of the net value by roughly the threshold plus the MTA. This excludes moves over the MPOR and the independent amount, so it is not a bound on total exposure.
How to solve Netting, Collateral and Margin Effects on Exposure questions
Work from trade values to a net number, then through the collateral terms, then add the move over the MPOR.
- 1Identify the netting set. Only trades under one enforceable netting agreement with one counterparty can be netted together.
- 2Write each trade's mark-to-market value from your side, with signs. Positive means the counterparty owes you.
- 3Compute exposure without netting (sum of positives) and with netting: max(sum, 0). Take the difference as the netting benefit.
- 4Read the collateral terms: threshold, MTA, independent amount, call frequency and collateral already held.
- 5Compute the collateral required: net value less threshold. Check whether the call is at least the MTA. If not, no collateral moves.
- 6If the question gives MPOR or a value change, apply it to the net value to get the value at close-out, then subtract collateral held at the start.
- 7Floor the result at zero, and state which risk it is: current exposure, or exposure at default after the MPOR.
- 8Interpret: say what drives the residual exposure (threshold, MTA, MPOR move) and whether netting was legally enforceable.
Quickest way: Net, subtract, floor
When to use it: Use for numerical MCQs with a few trades and simple collateral terms.
- Add all trade values with signs. If the total is zero or negative, exposure is zero.
- Subtract the threshold from the net value. If the result is below the MTA, assume no call.
- Subtract collateral already held from the net value.
- Add any adverse move over the MPOR to the net value before subtracting collateral held.
- Floor at zero and match to the one option consistent with your steps.
Common mistakes in Netting, Collateral and Margin Effects on Exposure
Netting across different counterparties
Students see offsetting trades and assume they cancel.
Fix: Net only within one legally enforceable netting set. Positive values with another counterparty stay separate.
Summing absolute values or including negative trades without netting
Confusing gross notional or gross value with exposure.
Fix: Without netting use max(V, 0) per trade. With netting use max(ΣV, 0).
Treating the threshold as collateral held
The word suggests a protected amount.
Fix: The threshold is the exposure left uncollateralised. Collateral only covers the excess above it.
Ignoring the MTA when a call is small
Students compute the call but forget it may not be made.
Fix: If the required call is below the MTA, no transfer happens. Compare before assuming collateral moves.
Assuming daily margining means zero exposure
Mixing up the call frequency with the MPOR.
Fix: Exposure can grow during the MPOR, which is longer than one day because of valuation disputes, settlement and close-out time.
Saying netting always reduces exposure strictly
Overstating the benefit.
Fix: Netting never increases exposure but gives no benefit when all trades have the same sign.
Worked examples
Example 1
A bank has three OTC trades with one counterparty under an enforceable close-out netting agreement. Values to the bank are +USD 12 million, +USD 5 million and −USD 9 million. No collateral is held. What is the exposure with netting and the netting benefit?
Show the solution
- Exposure without netting = 12 + 5 = USD 17 million (negative trade ignored).
- Net value = 12 + 5 − 9 = USD 8 million.
- Exposure with netting = max(8, 0) = USD 8 million.
- Netting benefit = 17 − 8 = USD 9 million.
Answer: Exposure with netting is USD 8 million. The netting benefit is USD 9 million.
Example 2
A netting set has a net mark-to-market value to the bank of USD 14 million. The CSA has a threshold of USD 5 million and an MTA of USD 0.5 million. The bank holds collateral of USD 9 million, called on the USD 14 million value at the last margin exchange. Over the margin period of risk the net value rises by USD 3 million before close-out, with no further collateral received. What is the exposure at close-out?
Show the solution
- Collateral called on the USD 14 million value = 14 − 5 = USD 9 million. This exceeds the MTA, so the call is made and the bank holds USD 9 million.
- Net value at close-out = 14 + 3 = USD 17 million.
- Exposure = max(17 − 9, 0) = USD 8 million.
- Check: threshold USD 5 million plus MPOR move USD 3 million = USD 8 million.
Answer: Exposure at close-out is USD 8 million, made up of the USD 5 million threshold and the USD 3 million move over the MPOR.
Exam tips
- Always check the sign of each trade from the bank's side before adding.
- Look for a wording trap: netting that is not legally enforceable means you sum positive values only.
- If a question asks which change increases exposure, remember that a longer MPOR or a higher threshold increases exposure. A higher MTA can leave a larger residual gap when calls are suppressed, but it does not always raise exposure.
- Do the threshold test and the MTA test in order, then floor at zero.
- Interpretation items favour answers that say collateral reduces but does not eliminate exposure.
Practice questions from Future Value and Exposure
- A dealer receives initial margin from a counterparty, segregated with a third-party custodian, in addition to daily variation margin. Compar…
- A bank has two trades with a counterparty under a netting agreement. Trade 1 has an exposure at a future date that is normally distributed w…
- A bank's netting set at time t has a normally distributed value V with mean USD 0 and standard deviation USD 10 million. The bank computes E…
- A bank holds a 5-year interest rate swap in which it receives fixed and pays floating, with payments exchanged periodically. Which descripti…
- A bank has a single uncollateralised interest rate swap with a corporate client. Which statement best describes why the expected exposure pr…
Netting, Collateral and Margin Effects on Exposure: frequently asked questions
How does netting reduce counterparty exposure?
On default, close-out netting replaces all trades in the netting set with one net amount. Exposure becomes max(sum of values, 0) instead of the sum of positive values. The benefit is largest when trades have offsetting signs.
What is the margin period of risk?
It is the time between the last margin exchange when the counterparty was still performing and the close-out and hedging of its positions. Market moves in this window are not covered by collateral. A longer MPOR means higher exposure.
What is the difference between threshold and minimum transfer amount?
The threshold is the amount of exposure left uncollateralised before collateral is called. The MTA is the smallest call that will be transferred. Both leave a gap between exposure and collateral.
Does collateral remove counterparty risk?
No. Threshold, MTA, MPOR moves, disputes, and collateral value changes leave residual exposure. Initial margin reduces it further but also costs funding.