FRM Exam Part II · Credit Value Adjustment

Netting, Collateral and Margining for FRM Part II

Updated 11 October 2026 · Fact-checked

Close-out netting combines all trades with a defaulting counterparty into one net claim, so exposure is the greater of the net value and zero. Collateral reduces that net claim further. Margin period of risk is the time between the last margin received and close-out, and it sets how much exposure can build up uncollateralised.

Understand Netting, Collateral and Margining

Start with one counterparty and several derivative trades. Some trades have positive value to you and some have negative value. If the counterparty defaults and there is no netting, a liquidator can demand payment on the trades that owe it money and pay you only a fraction on the trades where it owes you. This is called cherry picking. Your exposure is then the sum of the positive values only.

Close-out netting removes this problem. Under a master agreement such as the ISDA Master Agreement, all trades in the netting set are terminated at default and valued. The values are added up into a single net amount. Your exposure is max(sum of values, 0). It is never larger than the no-netting exposure, and it is smaller whenever the trades have values of mixed sign. Netting only works if it is legally enforceable in the relevant jurisdictions. If it is not, you must treat the trades as un-netted.

Collateral reduces the net claim further. Under a Credit Support Annex (CSA), the parties post variation margin as the net value moves. Two terms limit how tight the cover is. The threshold is the amount of exposure you tolerate before any collateral is called. The minimum transfer amount (MTA) is the smallest call that can be made, so small moves go unmargined. There can also be an independent amount (initial margin) posted upfront as a buffer. Collateral is valued with haircuts when it is not cash, to allow for its own price risk.

Collateral is never perfect, because there is a delay. After the last successful margin call, the counterparty stops paying, you must notice, issue notices, close out and replace or hedge the trades. The margin period of risk (MPOR) is the length of this window. Exposure is measured as how much the net value can rise over the MPOR, not just today's gap. A longer MPOR means a larger residual exposure. MPOR is longer with infrequent margin calls, disputes, illiquid or complex trades, and large netting sets.

Put together: exposure after netting and collateral is roughly max(net value at close-out minus collateral held, 0). With a CSA, collateral held at default is based on the last call, so it reflects the value at the start of the MPOR, adjusted for threshold, MTA and haircuts. The risk you keep is the move in value over the MPOR plus any uncovered threshold and MTA.

Key formulas to remember

Exposure without netting: Exposure = Σ max(Vi, 0); Sum over each trade i. Only positive-value trades count. Used when netting is not enforceable.
Exposure with close-out netting: Exposure = max(Σ Vi, 0); Sum over trades in one legally enforceable netting set. Always ≤ the no-netting exposure.
Netting benefit: Benefit = Σ max(Vi, 0) − max(Σ Vi, 0); Zero if all trades have the same sign. Largest when trades offset.
Net-to-gross ratio (NGR): NGR = max(Σ Vi, 0) ÷ Σ max(Vi, 0); Between 0 and 1. Lower means more netting benefit.
Exposure with collateral: Exposure = max(V − C, 0); V is net value at close-out, C is collateral held after haircuts.
Collateral call with threshold and MTA: Call = max(V − Threshold − Collateral held, 0), made only if the amount ≥ MTA; If the calculated amount is below the MTA, no transfer happens. Practical CSAs also apply rounding.
Maximum uncollateralised gap (simple view): Residual exposure ≈ Threshold + MTA + change in V over MPOR; A rule of thumb for the worst case just before default. Initial margin or independent amount reduces it.
Volatility over the MPOR: σ(MPOR) = σ(1 day) × √(MPOR in days); Square-root-of-time scaling under independent, identically distributed changes. Use only as an approximation.
Haircut collateral value: Collateral value = Market value × (1 − haircut); Haircut reflects the price volatility and liquidity of non-cash collateral.

How to solve Netting, Collateral and Margining questions

Use this order for any numerical or conceptual question on netting, collateral and margining.

1Identify the netting sets. Group trades under one enforceable master agreement. Trades under different agreements or in unenforceable jurisdictions are not netted together.
2Compute exposure before collateral. Sum the values inside each set, then floor at zero. Add the sets together. Check the no-netting figure if the question asks for the netting benefit.
3List the CSA terms: threshold, MTA, independent amount, margin call frequency, haircuts, and whether margin is one-way or two-way.
4Work out collateral held. Apply the call formula: required collateral = max(V − threshold, 0), then check the MTA. Apply haircuts to non-cash collateral.
5Subtract collateral from exposure and floor at zero. Remember that collateral held reflects the value at the last call, not at close-out.
6Add the MPOR effect. Estimate how much the net value can change over the MPOR, using square-root-of-time scaling if volatility is given.
7Interpret. State what drives the residual exposure (threshold, MTA, MPOR, haircuts) and whether it is a credit, legal or liquidity issue.
8Check the answer against the bounds: netted exposure ≤ gross exposure, and collateralised exposure ≤ uncollateralised exposure, except where collateral itself creates risk such as wrong-way risk.

Quickest way: Floor, subtract, then add the gap

When to use it: Use for numerical MCQs with trade values and CSA terms when you have under two minutes.

Sum values in the netting set and floor at zero. That is the netted exposure.
Subtract the threshold. Anything below the threshold stays uncollateralised.
Check the MTA. If the call is smaller than the MTA, treat it as not made.
For the MPOR question, scale the daily volatility by √days and apply the confidence multiplier.
Pick the option that respects the bounds. Discard any answer where netted exposure exceeds gross exposure.

Common mistakes in Netting, Collateral and Margining

Netting positive and negative values across different netting agreements.
The numbers look like one portfolio, so students add them all.
Fix: Net only within one enforceable master agreement. Floor each set at zero, then add the sets.
Forgetting to floor the net value at zero.
A negative net value is treated as negative exposure.
Fix: Exposure is always max(net value, 0). A negative net means you owe the counterparty, so your credit exposure is zero.
Treating the threshold as collateral posted.
The word suggests an amount that is held.
Fix: The threshold is exposure left uncollateralised. Collateral is called only on the excess above it.
Applying the MTA to the total collateral balance instead of to each transfer.
MTA is confused with a minimum balance.
Fix: MTA applies to the size of a single call. If the call is below it, nothing moves, so the gap can build up across days.
Assuming daily margining means zero exposure.
Students ignore the delay in detection, close-out and replacement.
Fix: Exposure still exists over the MPOR. Daily margining shortens it, but it does not remove it.
Ignoring haircuts and legal risk on collateral.
Collateral is seen as risk-free cash equivalent.
Fix: Apply haircuts to non-cash collateral. Note legal enforceability, rehypothecation and wrong-way risk where collateral is correlated with the counterparty.

Worked examples

Example 1

A bank has four trades with one counterparty under a single enforceable ISDA netting agreement. Values to the bank are: +USD 12 million, +USD 5 million, −USD 9 million, −USD 4 million. Compute exposure without netting, exposure with netting, the netting benefit, and the net-to-gross ratio.

Show the solution

Without netting, count only positive values: 12 + 5 = USD 17 million.
With netting, add all values: 12 + 5 − 9 − 4 = USD 4 million. This is positive, so exposure is USD 4 million.
Netting benefit = 17 − 4 = USD 13 million.
NGR = 4 ÷ 17 = 0.235, about 23.5%.

Answer: Exposure is USD 17 million without netting and USD 4 million with netting. The benefit is USD 13 million and the NGR is about 0.235.

Example 2

A CSA between two banks has a threshold of USD 3 million, an MTA of USD 0.5 million and no independent amount. The net value of the portfolio to Bank A is USD 7 million. Bank A holds USD 3.2 million of cash collateral. Over the margin period of risk the net value rises by USD 2 million before the counterparty defaults. What is the call due today, and what is Bank A's exposure at close-out, assuming no further collateral is received?

Show the solution

Required collateral = max(7 − 3, 0) = USD 4 million.
Call = 4 − 3.2 = USD 0.8 million. This is above the MTA of USD 0.5 million, so the call is made.
If the call is met, collateral held becomes USD 4 million, based on the value of USD 7 million.
The value then rises by USD 2 million to USD 9 million at close-out, and no further collateral arrives during the MPOR.
Exposure = max(9 − 4, 0) = USD 5 million. This equals the threshold of USD 3 million plus the USD 2 million move over the MPOR.

Answer: The call is USD 0.8 million. If it is met and the value rises to USD 9 million with no further margin, exposure at close-out is USD 5 million (threshold USD 3 million plus MPOR move USD 2 million).

Exam tips

Always check whether netting is stated to be legally enforceable. If the question says it is not, compute exposure trade by trade.
Read the CSA terms in order: threshold first, then MTA, then independent amount. Many MCQ distractors come from skipping one.
For MPOR questions, expect square-root-of-time scaling. Match the horizon to the days given, such as 10 business days for daily margining of liquid OTC trades under many regimes, only if the question states it.
Interpretation items ask what increases exposure. Longer MPOR, higher threshold, higher MTA, less frequent calls and illiquid trades all raise it.
Link to wrong-way risk: if collateral value falls when the counterparty weakens, the collateral benefit is overstated.

Practice questions from Credit Value Adjustment

Netting, Collateral and Margining in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

FRM Part IBilateral Clearing, Netting, and Collateral (CSA)

Netting, Collateral and Margining: frequently asked questions

How does close-out netting reduce exposure?

On default, all trades in the netting set are terminated and valued, and the values are added into one net amount. You are exposed only if that net is positive. This stops the liquidator from cherry picking trades that favour the defaulter.

What is the margin period of risk?

It is the time between the last margin call that was met and the point when the position is closed out and replaced. It includes detection of the default, notice periods and the time to hedge or replace trades. Exposure is measured as the possible change in value over this window.

What is the difference between a CSA threshold and the minimum transfer amount?

The threshold is the level of exposure that stays uncollateralised before any call is made. The minimum transfer amount is the smallest size of a call that can be demanded. The threshold limits when collateral starts, and the MTA limits how small each transfer can be.

Does collateral remove counterparty credit risk?

No. Residual exposure remains from the threshold, the MTA, the MPOR and haircuts on non-cash collateral. There are also legal, operational, liquidity and wrong-way risks attached to the collateral itself.