FRM Exam Part II · Private Markets Investing

Private Equity Performance Measurement: IRR, TVPI and PME

Updated 11 October 2026 · Fact-checked

Private equity performance is measured with IRR (a money-weighted annual return), multiples (DPI, RVPI, TVPI = DPI + RVPI) and public market equivalent (PME) methods that compare fund cash flows with a public index. Solve questions by identifying the metric, computing from cash flows or NAV, then interpreting its limits.

Understand Private Equity Performance Measurement (IRR, TVPI, PME)

A private equity fund does not report a daily price. Investors send cash in through capital calls and receive cash back through distributions. The fund also reports a net asset value (NAV) for investments it still holds. Performance measurement must work with these irregular cash flows and a NAV that is an appraisal, not a market price.

The first tool is the IRR. It is the discount rate that sets the present value of all contributions, distributions and the remaining NAV to zero. It is money-weighted, so the timing of cash flows matters. Early distributions raise IRR. Late calls lift it too, because capital is used for less time. Funds with credit lines that delay calls can show a higher IRR without creating more value.

The second tool is the set of multiples, which ignore timing. DPI (distributed to paid-in) = cumulative distributions ÷ paid-in capital. It is realised value. RVPI (residual value to paid-in) = NAV ÷ paid-in capital. It is unrealised and depends on the manager's valuation. TVPI (total value to paid-in) = DPI + RVPI. Early in a fund's life DPI is low and TVPI is mostly RVPI. Only at the end does TVPI equal DPI.

The third tool is PME. IRR and multiples do not say whether the investor beat a liquid alternative. PME methods apply the fund's cash flows to a public index. In the Long-Nickels method, contributions are treated as index purchases and distributions as index sales, and the ending NAV is compared with the index position to get an index-based IRR. In Kaplan-Schoar PME, all cash flows are compounded or discounted with the index and the ratio of the value of distributions plus NAV to the value of contributions is taken. A KS-PME above 1 means the fund beat the index.

All these measures face data problems. NAVs are appraisal-based and smoothed, which understates volatility and correlation with public markets. Reported returns are often net of fees, and only investors in the fund see them. Surviving funds and self-reported data create bias. Young funds show the J-curve: negative early returns from fees and write-downs, rising later. Early IRRs are therefore unreliable.

Key formulas to remember

IRR: Σ CFt ÷ (1 + IRR)^t = 0; Include contributions as negatives, distributions as positives and ending NAV as a final inflow. Money-weighted and sensitive to timing.
DPI: DPI = Cumulative distributions ÷ Paid-in capital; Realised cash returned. Not affected by NAV appraisals.
RVPI: RVPI = NAV ÷ Paid-in capital; Unrealised value. Depends on the manager's valuation.
TVPI: TVPI = DPI + RVPI = (Distributions + NAV) ÷ Paid-in capital; Ignores timing. Equals DPI once the fund is fully liquidated.
Kaplan-Schoar PME: KS-PME = FV(distributions + NAV at index) ÷ FV(contributions at index); Both sides compounded with the index to the same date. Above 1 means the fund outperformed the index. Present values at the index give the same ratio.
Long-Nickels PME: Buy index with each contribution, sell with each distribution; IRR of the flows with the ending index position; Gives an index-based IRR to compare with the fund IRR.

How to solve Private Equity Performance Measurement (IRR, TVPI, PME) questions

Use this method for any question on private equity performance.

1Identify what is asked: IRR, a multiple (DPI, RVPI, TVPI), a PME, or a limitation or bias.
2List the cash flows with signs and dates. Contributions are outflows, distributions are inflows. Note the NAV.
3For multiples, find paid-in capital first. Use paid-in, not committed, capital as the denominator.
4Compute DPI = distributions ÷ paid-in, RVPI = NAV ÷ paid-in, then add for TVPI.
5For PME, put the fund's flows through the index. Compound or discount at index returns and compare the ratio or the IRR.
6Interpret: DPI is realised, RVPI is appraisal-based, TVPI ignores timing, IRR is timing-driven, PME above 1 means the fund beat the index.
7Check the option against known limitations: smoothing, J-curve, reinvestment assumption, credit-line effects and multiple IRRs.

Quickest way: Multiples first, then judge

When to use it: Use when the question gives distributions, NAV and paid-in capital and wants a ratio or a comparison.

Write paid-in capital, distributions and NAV on one line.
Divide distributions and NAV by paid-in capital to get DPI and RVPI.
Add them for TVPI.
For PME, compound each flow with the index growth factor to the end date and divide.
Eliminate options that confuse DPI with TVPI or use committed capital.

Common mistakes in Private Equity Performance Measurement (IRR, TVPI, PME)

Using committed capital as the denominator of DPI, RVPI or TVPI.
Commitment is the number quoted at fund launch, so it feels like the base.
Fix: The denominator is paid-in (called) capital. Committed but uncalled capital is not in it.
Treating TVPI as a realised return.
Multiples look like final results.
Fix: TVPI includes RVPI, which is unrealised NAV. Only DPI is realised.
Trusting early IRR or TVPI as a measure of fund quality.
The numbers look precise.
Fix: The J-curve depresses early figures, and NAVs are appraisals. Judge performance once the fund is mature.
Saying a higher IRR always means more value created.
IRR is quoted as a rate of return.
Fix: IRR depends on timing and may be boosted by subscription credit lines or early distributions. A high IRR on a small amount for a short time may add little in money terms. Compare with TVPI.
Reading a PME below 1 as a loss.
Students confuse relative with absolute performance.
Fix: KS-PME below 1 means the fund did worse than the index, even if it made money.
Assuming reported private equity volatility is true risk.
Appraisal-based NAVs move slowly.
Fix: Smoothing understates volatility and correlation with public markets. Unsmoothing raises both.

Worked examples

Example 1

A fund has called $80 million of a $100 million commitment. It has distributed $40 million and reports a NAV of $72 million. Compute DPI, RVPI and TVPI.

Show the solution

Paid-in capital = $80 million (not the $100 million commitment).
DPI = 40 ÷ 80 = 0.50.
RVPI = 72 ÷ 80 = 0.90.
TVPI = 0.50 + 0.90 = 1.40.

Answer: DPI = 0.50x, RVPI = 0.90x, TVPI = 1.40x. Only 0.50x is realised.

Example 2

An investor contributes $100 at time 0 and receives a single distribution of $150 at the end of year 3 when the fund is liquidated. An index grows from 1,000 at time 0 to 1,300 at year 3. Compute the fund IRR and the KS-PME.

Show the solution

IRR: (150 ÷ 100)^(1/3) − 1 = 1.5^(0.3333) − 1.
1.5^(1/3) ≈ 1.1447, so IRR ≈ 14.47%.
Index growth factor = 1,300 ÷ 1,000 = 1.30.
Compound the contribution with the index to year 3: 100 × 1.30 = 130.
The distribution is already at year 3, so its value is 150.
KS-PME = 150 ÷ 130 ≈ 1.154.

Answer: IRR ≈ 14.5% and KS-PME ≈ 1.15. The fund beat the index (index return ≈ 9.1% a year).

Exam tips

Know the three multiples cold and which one is realised (DPI) versus appraisal-based (RVPI).
Questions often hide the trap of committed versus paid-in capital. Check the denominator.
For PME, remember the direction: above 1 means outperformance. Do not compute full IRRs when the ratio suffices.
Expect conceptual items on smoothing, J-curve, credit lines and why IRR can mislead.
If a question says the fund is early in life, prefer answers warning that IRR and TVPI are unreliable.

Practice questions from Private Markets Investing

Private Equity Performance Measurement (IRR, TVPI, PME) in other exams

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

Private Equity Performance Measurement (IRR, TVPI, PME): frequently asked questions

What is the difference between DPI and RVPI?

DPI is cash already distributed divided by paid-in capital, so it is realised. RVPI is the remaining NAV divided by paid-in capital, so it is unrealised and relies on valuation. Their sum is TVPI.

What are the limitations of IRR in private equity?

IRR is driven by the timing of cash flows and ignores the amount invested. It can be inflated by credit lines that delay capital calls, it assumes reinvestment at the IRR, and it can have multiple values when flows change sign more than once. It is also unreliable early in a fund's life.

How does a public market equivalent work?

A PME applies the fund's contributions and distributions to a public index to see what the investor would have earned in the market. Long-Nickels gives an index-based IRR. Kaplan-Schoar gives a ratio, where above 1 means the fund beat the index.

Why does smoothing matter for private equity returns?

Reported NAVs are appraisals that lag market moves, so returns look less volatile and less correlated with public markets than they are. This understates risk and can overstate diversification benefits. Unsmoothing methods correct for this.