FRM Exam Part II · Future Value and Exposure

Counterparty Exposure Metrics: EE, PFE and EPE Explained

Updated 11 October 2026 · Fact-checked

Counterparty exposure metrics measure what you could lose if a counterparty defaults. Current exposure is today's positive value. Expected exposure (EE) is the average future positive value at a date. PFE is a high percentile of that exposure. EPE is EE averaged over time. To solve questions, build the exposure distribution, floor it at zero, then apply the right statistic.

Understand Counterparty Exposure Metrics (EE, PFE, EPE)

Exposure is the amount you would lose if a counterparty defaulted, before recovery. For a derivative, you only lose when the contract has positive value to you. If the value is negative, you owe the counterparty and you do not gain from their default. So exposure = max(V, 0), where V is the contract (or netting set) value.

Current exposure (CE) is exposure today: max(V today, 0). It is known and observable. It says nothing about how value may change before the contract ends.

Future value is uncertain, so you model a distribution of V at each future date. Expected exposure (EE) is the mean of max(V, 0) at a given future date. Potential future exposure (PFE) is a high percentile (for example the 95th or 99th) of the exposure distribution at that date. EE is an average. PFE is a tail measure, so at a high percentile such as 95% or 99% it is usually above EE at the same date, but not always. The relationship depends on the distribution. For example, if exposure is zero in 96% of scenarios and 100 in 4%, EE = 4 but the 95% PFE = 0. PFE is used for credit limits.

Expected positive exposure (EPE) is the time average of EE over a horizon. It collapses the EE profile into one number. Under Basel, effective EE is the EE profile made non-decreasing over time: at each date it is the larger of that date's EE and the previous effective EE. Effective EPE is the average of effective EE over the first year (or until the longest-maturity contract matures, if that is shorter). Regulators use it to reflect rollover of short trades.

The negative side mirrors this. Negative exposure is min(V, 0), or the amount you owe. Expected negative exposure (ENE) is its average at a date; the ENE profile feeds DVA. Positive exposure feeds CVA. Negative exposure feeds DVA. CVA is priced from the discounted risk-neutral EE profile, and DVA from the matching ENE profile. Regulatory capital uses effective EPE (EAD = alpha × effective EPE), not the risk-neutral profile. Real-world measures are typically used for PFE limits and risk management. Regulatory EPE is calibrated under regulatory rules, often with real-world or stressed parameters.

Key formulas to remember

Exposure: Exposure = max(V, 0); V is the value of the contract or netting set. Negative value is not an exposure.
Current exposure: CE = max(V₀, 0); Uses today's value only. No simulation needed.
Expected exposure: EE(t) = E[max(V(t), 0)]; Average over scenarios at date t. Includes zeros from scenarios where V is negative.
Potential future exposure: PFE(t) = the α-percentile of max(V(t), 0); Typically α = 95% or 99%. Usually above EE(t), but not guaranteed. It depends on the distribution.
Expected positive exposure: EPE = Σ EE(tᵢ) × Δtᵢ ÷ T; Time-weighted average of EE. With equal time steps it is the simple average of the EE values.
Effective EE: Effective EE(tₖ) = max(EE(tₖ), Effective EE(tₖ₋₁)); Makes the profile non-decreasing. Reflects replacement of maturing trades.
Effective EPE: Effective EPE = average of Effective EE over min(1 year, longest maturity); Basel regulatory measure for counterparty credit risk exposure.
Negative exposure: NE = min(V, 0); ENE(t) = E[min(V(t), 0)]; Quoted as a negative number, or as its absolute value. Feeds DVA.

How to solve Counterparty Exposure Metrics (EE, PFE, EPE) questions

Use this order for any question on exposure metrics. It keeps positive and negative sides separate and avoids mixing averages with percentiles.

1Identify the unit: a single trade or a netting set. Use the netting set value if netting applies.
2Identify the date or horizon: one date (EE or PFE) or a time profile (EPE, effective EPE).
3Apply the floor: replace every negative value with zero for positive exposure. Keep zeros in the average.
4Pick the statistic: mean for EE, percentile for PFE, time average for EPE.
5For effective measures, first make the EE profile non-decreasing, then average over the first year.
6Check the side: positive exposure for CVA and limits, negative exposure for DVA.
7Rough plausibility check only: PFE at a high percentile is usually above EE, but not always, so do not treat it as a strict test. Effective EPE ≥ EPE holds only when both are averaged over the same horizon. EPE over the full trade life may be above or below effective EPE over one year, so do not compare them across different horizons. Exposure is never negative.

Quickest way: Fast route for scenario tables

When to use it: Use when the question gives a small set of scenario values or an EE profile and asks for EE, PFE or EPE.

Cross out negatives and write 0 beside them.
For EE, sum the floored values and divide by the number of scenarios, including zeros.
For PFE, sort the floored values and read the percentile rank. With 20 equally likely scenarios, the 95th percentile is the 19th smallest value.
For EPE, average the EE values, weighting by time step length if steps differ.
For effective EPE, run down the EE list and carry forward any earlier higher value before averaging.

Common mistakes in Counterparty Exposure Metrics (EE, PFE, EPE)

Leaving out zero-exposure scenarios when computing EE.
Students average only the positive outcomes because those are the ones that matter for loss.
Fix: EE is the expectation of max(V, 0) over all scenarios. Count the zeros in the denominator.
Treating PFE as the average of the exposures above some percentile.
It is confused with expected shortfall.
Fix: PFE is the percentile itself, a VaR-like quantile of exposure. It is not a tail average.
Confusing EE with EPE.
The names are similar.
Fix: EE is at one future date. EPE is the time average of EE over a period.
Using the plain EPE where effective EPE is asked.
Students skip the non-decreasing adjustment.
Fix: First set each EE to the larger of itself and the prior effective EE. Then average over the first year.
Ignoring the one-year limit in effective EPE.
Students average over the full life of the trade.
Fix: Average over the first year, or until the longest-maturity contract in the netting set matures if that is sooner.
Treating negative exposure as a loss to you from the counterparty default.
The sign is mixed up.
Fix: Negative exposure is what you owe. It matters for your own default and DVA, not for CVA.

Worked examples

Example 1

A netting set has five equally likely scenario values at a future date (in USD million): -4, 0, 3, 7, 10. Calculate EE and the 80th-percentile PFE.

Show the solution

Floor at zero: 0, 0, 3, 7, 10.
EE = (0 + 0 + 3 + 7 + 10) ÷ 5 = 20 ÷ 5 = 4.
Sorted floored values: 0, 0, 3, 7, 10. The 80th percentile with five equally likely outcomes is the 4th value, since 4 of 5 outcomes (80%) are at or below 7.
So PFE at 80% = 7.
Check: PFE 7 ≥ EE 4.

Answer: EE = USD 4 million; 80% PFE = USD 7 million.

Example 2

A one-year netting set has quarterly EE values (USD million): 2, 5, 4, 6. Calculate EPE and effective EPE over the year, assuming equal time steps.

Show the solution

EPE = (2 + 5 + 4 + 6) ÷ 4 = 17 ÷ 4 = 4.25.
Effective EE: first value 2. Second is max(5, 2) = 5. Third is max(4, 5) = 5. Fourth is max(6, 5) = 6.
Effective profile: 2, 5, 5, 6.
Effective EPE = (2 + 5 + 5 + 6) ÷ 4 = 18 ÷ 4 = 4.5.
Check: effective EPE 4.5 ≥ EPE 4.25.

Answer: EPE = USD 4.25 million; effective EPE = USD 4.5 million.

Exam tips

Read whether the question asks for a single date (EE, PFE) or a time average (EPE). This decides the method.
When a question gives a percentile, remember PFE is a quantile of floored exposure. Do not average above it.
Watch for the word effective. It signals the non-decreasing step and the one-year window.
Link metrics to use: PFE for limits, the discounted risk-neutral EE profile for CVA, effective EPE for regulatory capital, ENE for DVA.
Always check that your answer is not negative for positive exposure. PFE at a high percentile is usually above EE, but this is not guaranteed, so use it only as a rough plausibility check.

Practice questions from Future Value and Exposure

Counterparty Exposure Metrics (EE, PFE, EPE): frequently asked questions

What is the difference between EPE and PFE?

EPE is an average: the time average of expected exposure over a horizon. PFE is a high percentile of exposure at a given date. Effective EPE feeds regulatory capital, the discounted risk-neutral EE profile feeds CVA pricing, and PFE is used for credit limits.

How do I calculate expected positive exposure?

Compute EE at each future date as the average of max(V, 0) across scenarios. Then average the EE values over time, weighting by the length of each step. With equal steps, it is a simple average.

What is effective EPE?

It is the average of effective EE over the first year, or until the longest-maturity contract matures if sooner. Effective EE is the EE profile made non-decreasing over time. Basel uses it for counterparty credit risk exposure.

Is expected exposure the same as current exposure?

No. Current exposure is today's positive value, which is known. Expected exposure is the average of the positive value at a future date, which depends on modelled scenarios.