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Private Equity Performance Measurement: IRR, TVPI, DPI, RVPI and PME

Updated 8 October 2026 · Fact-checked

Private equity performance is measured with IRR, a money-weighted annual return, and with multiples that divide by paid-in capital: DPI (cash returned), RVPI (value still held) and TVPI (their sum). PME compares the fund with a public index using the same cash flows. The J-curve shows early negative returns that improve later.

Understand Performance Measurement and Returns

A private equity fund does not hold a fixed amount of money. The general partner (GP) calls capital from limited partners (LPs) when it needs it, and returns cash when it sells investments. So you cannot use a simple time-weighted return. You need measures that respect the timing of these cash flows.

Paid-in capital (PIC) is the total capital the LP has actually paid in so far. It is not the same as committed capital, which includes money not yet called. The three multiples all use PIC as the denominator. DPI shows cash already received. RVPI shows value still sitting in the fund as net asset value (NAV). TVPI adds the two. DPI is realized and hard to dispute. RVPI depends on the GP's valuation, so it is a softer number.

The multiples ignore time. A 2.0x TVPI over 4 years is very different from 2.0x over 12 years. IRR fixes this. It is the discount rate that sets the present value of all contributions and distributions, plus the final NAV as a terminal value, equal to zero. Contributions are negative and distributions are positive. IRR is money-weighted, so it depends on when the GP calls and returns money, which the GP partly controls.

The J-curve describes the typical shape of a fund's cumulative net IRR over its life. Early on, returns are negative because management fees (typically charged on committed capital during the investment period) and costs are incurred while investments are held at cost and have not yet grown. As companies mature and are sold, returns turn positive. Because of this, early-life IRR and TVPI say little about final results.

Public market equivalent (PME) methods ask: what if the LP had put the same cash flows into a public index? Long-Nickels PME applies the index return to the contributions and distributions and computes an IRR. Kaplan-Schoar PME compares the index-compounded value of distributions plus NAV with the index-compounded value of contributions. A ratio above 1 means the fund beat the index. Other problems to know: stale and subjective valuations, small and non-comparable samples, survivorship bias, and benchmark choice.

Key rules to remember

DPI (distributed to paid-in): DPI = cumulative distributions ÷ paid-in capital; Realized return. It does not depend on GP valuations. It starts at zero and rises as exits happen.
RVPI (residual value to paid-in): RVPI = NAV (residual value) ÷ paid-in capital; Unrealized portion. It relies on the GP's valuation, so treat it with caution early in the fund's life.
TVPI (total value to paid-in): TVPI = (cumulative distributions + NAV) ÷ paid-in capital = DPI + RVPI; Also called the investment multiple. Usually net of fees and carried interest when measured at LP level. Ignores timing.
Since-inception IRR: 0 = Σ [CFt ÷ (1 + IRR)^t], with contributions negative, distributions positive, and the final NAV as a terminal inflow; Money-weighted. Solved by calculator or trial and error. Sensitive to the timing of cash flows.
Kaplan-Schoar PME: KS-PME = FV of distributions + NAV (at index returns) ÷ FV of contributions (at index returns); Above 1 means the fund outperformed the index. Below 1 means it underperformed. Equal to 1 means it matched the index.
Long-Nickels PME: PME IRR = IRR of the index-based cash flows, with the ending value being the index-equivalent value; Contributions and distributions are applied to the index. Compare this IRR with the fund IRR.

How to solve Performance Measurement and Returns questions

Use this order for any question on private equity returns. It keeps you from mixing up the measures.

1Read the command word and find which measure is asked for: DPI, RVPI, TVPI, IRR, PME or a J-curve interpretation.
2List the data: paid-in capital (not committed capital), cumulative distributions, NAV, and the dates of any cash flows.
3For multiples, divide by paid-in capital. Compute DPI and RVPI first, then add them for TVPI. Check the answer by dividing (distributions + NAV) by PIC directly.
4For IRR, put contributions as negatives and distributions as positives, add the final NAV as a last inflow, then solve for the rate that gives a zero NPV.
5For PME, apply the index growth to each cash flow up to the end date, then compare the fund's value with the index-equivalent value, or compare IRRs.
6State the conclusion in one sentence: outperformed, underperformed, or too early to judge because of the J-curve or valuation uncertainty.
7Show your numbers. Write the figure on its own line so a correct calculation earns full credit.

Quickest way: Multiples first, then one check

When to use it: Use this when you have a table of fund figures and under two minutes for the question.

Circle paid-in capital. Ignore committed capital unless the question asks about it.
DPI = distributions ÷ PIC. RVPI = NAV ÷ PIC. TVPI = DPI + RVPI.
If DPI is low and RVPI is high, say the value is mostly unrealized and depends on GP valuations.
For a single contribution and a single ending value, IRR = (ending value ÷ contribution)^(1 ÷ years) − 1. For several cash flows, use the calculator's cash flow worksheet.
For PME, compound the contribution with the index growth and divide the fund's ending value by it.

Common mistakes in Performance Measurement and Returns

Dividing by committed capital instead of paid-in capital when computing TVPI, DPI or RVPI.
Both numbers appear in the fund data and the commitment looks like the natural base.
Fix: Remember that the P in each ratio is paid-in. Check the data table and use only the capital actually called.
Treating TVPI as if it shows how fast the fund made money.
A single multiple looks like a complete return figure.
Fix: TVPI ignores time. Use IRR or PME when the question involves timing or comparison with an index.
Leaving the final NAV out of the IRR cash flows for a fund that has not fully exited.
Candidates only list actual cash movements.
Fix: For since-inception IRR on an active fund, add the NAV as a terminal inflow at the measurement date.
Calling a low early IRR proof of weak manager skill.
Candidates forget the J-curve.
Fix: Management fees are typically charged on committed capital during the investment period, and fees plus costs are incurred while investments are held at cost. Say that early returns are depressed and judge the fund later in its life.
Reading a KS-PME above 1 as an IRR above 1.
Both are shown as a single number.
Fix: KS-PME is a ratio. Above 1 means it beat the index, but it is not a percentage return.
Treating RVPI as certain value.
It sits in the same ratio as realized cash.
Fix: Point out that NAV is a GP estimate and can be stale or subjective. DPI is the only fully realized part.

Worked examples

Example 1

An LP has committed ₹200 crore to a private equity fund. To date the fund has called ₹150 crore, distributed ₹60 crore in cash, and reports a NAV for the LP's interest of ₹135 crore. Calculate DPI, RVPI and TVPI, and comment on the result.

Show the solution

Paid-in capital is ₹150 crore. Committed capital is not used.
DPI = 60 ÷ 150 = 0.40.
RVPI = 135 ÷ 150 = 0.90.
TVPI = DPI + RVPI = 0.40 + 0.90 = 1.30.
Check: (60 + 135) ÷ 150 = 195 ÷ 150 = 1.30.

Answer: DPI = 0.40, RVPI = 0.90, TVPI = 1.30. The fund has returned 40% of paid-in capital in cash. Most of its value (0.90 of the 1.30) is unrealized and rests on the GP's valuation, so the result is less certain.

Example 2

An LP contributes ₹100 crore to a fund at the start of year 1 and there are no other cash flows. At the end of year 2 the LP's NAV is ₹150 crore. A public equity index stood at 1,000 at the start and 1,100 at the end of year 2. Calculate the fund's IRR and the Kaplan-Schoar PME, and state whether the fund beat the index.

Show the solution

Fund IRR: (150 ÷ 100)^(1 ÷ 2) − 1 = √1.5 − 1 = 1.2247 − 1 = 22.47%.
Index growth over the period = 1,100 ÷ 1,000 = 1.10.
Contribution compounded at the index return = 100 × 1.10 = ₹110 crore.
KS-PME = 150 ÷ 110 = 1.36 (to two decimals).
The ratio is above 1, so the fund beat the index. For comparison, the index return is √1.10 − 1 = 4.88% a year.

Answer: Fund IRR = 22.47% a year and KS-PME = 1.36. Since the KS-PME is above 1, the fund outperformed the public index on the same cash flows.

Exam tips

Write the denominator down first. In most multiple questions the trap is committed versus paid-in capital.
If asked to explain the J-curve, give two reasons: fees and costs incurred while investments are held at cost, and investments held at cost before value is created. Then say that returns rise as investments mature and exit.
When asked whether a fund performed well, back your view with IRR or PME and note any valuation limits. A multiple alone does not answer a timing question.
In essay sets, answer only the number of points asked for, in the order given. Put a calculated number on its own so it can be credited.
For problems with evaluating returns, cover valuation subjectivity, small samples, benchmark choice and cash-flow timing. Keep each point to one line.

Performance Measurement and Returns in other exams

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

CFA Level IPrivate Equity Performance: IRR, TVPI, DPI and RVPI

Performance Measurement and Returns: frequently asked questions

What is the TVPI, DPI and RVPI formula for CFA Level III?

DPI = cumulative distributions ÷ paid-in capital. RVPI = NAV ÷ paid-in capital. TVPI = (distributions + NAV) ÷ paid-in capital, which equals DPI + RVPI.

How is the J-curve explained in private equity?

The J-curve is the typical path of a fund's cumulative net returns. They start negative because fees (typically charged on committed capital during the investment period) and costs are incurred while investments are held near cost. They turn positive as portfolio companies grow and are sold.

How do you calculate IRR for a private equity fund?

List contributions as negative cash flows and distributions as positive ones. Add the final NAV as a terminal inflow if the fund is still active. The IRR is the rate that makes the present value of all these flows equal to zero.

What is a public market equivalent (PME) and what does it show?

PME methods apply the fund's cash flow timing to a public index to see what the LP would have earned there. A Kaplan-Schoar PME above 1 means the fund beat the index. A Long-Nickels PME gives an index-based IRR that you compare with the fund's IRR.