Private Markets Pathway · Private Investments and Structures

Valuation and Performance Measurement of Private Investments

Q: What is the difference between DPI, RVPI and TVPI?

DPI is cash returned to investors divided by paid-in capital. RVPI is remaining NAV divided by paid-in capital. TVPI is the sum of the two and shows total value created per unit of capital paid in.

Q: Why can IRR mislead for private funds?

IRR is sensitive to the timing of cash flows. Early distributions or delayed capital calls can raise it without raising the money multiple. It also relies on the reported NAV for unrealised value.

Q: What is appraisal smoothing?

It is the tendency of appraisal-based values to lag the market and change gradually. Reported returns look steadier than the true economics, so volatility and correlation with public markets are understated.

Q: How do I interpret a PME?

A PME above 1 means the private investment created more value than investing the same cash flows in the public index. Below 1 means it lagged the index. It is a ratio of values with all flows compounded to the measurement date, not a return difference.

Updated 8 October 2026 · Fact-checked

Private investments are valued by models and appraisals, not market prices. You measure performance with IRR (a money-weighted, or dollar-weighted, measure of cash flows, not time-weighted), and multiples: DPI (cash returned), RVPI (value left) and TVPI (DPI + RVPI), all on paid-in capital. Appraisal smoothing understates volatility, so adjust before using the data.

Understand Valuation and Performance Measurement of Private Investments

Public assets have a price every second. Private assets do not. A fund holding a buyout stake or an office building must estimate value using models (discounted cash flow, market multiples, recent transactions) or appraisals. These values are updated quarterly at best and they rely on judgment.

This creates appraisal smoothing. Appraisers anchor on the previous value and adjust slowly, and valuations lag the market. The reported return series looks less volatile than the true economics, and it shows low correlation with public markets. As a result, standard deviation is understated, Sharpe ratios look too high, and diversification benefits look too good. You can unsmooth the series to get a better risk estimate. This raises the volatility and the correlation with public assets.

Performance is measured on cash flows, because the GP controls the timing of capital calls and distributions. The IRR (since-inception IRR, SI-IRR) is the discount rate that sets the present value of contributions and distributions, plus the ending NAV, to zero. It is money-weighted. It is sensitive to timing, so early distributions or credit-line use can lift IRR without lifting the money multiple.

The multiples ignore timing. DPI is distributions divided by paid-in capital: what has actually come back. RVPI is residual NAV divided by paid-in capital: what is still unrealised and depends on valuation. TVPI is the sum of the two. Early in a fund's life, TVPI is mostly RVPI and rests on estimates. Late in life, DPI converges to TVPI.

A public market equivalent (PME) asks what you would have earned by investing the same cash flows in a public index. The Kaplan-Schoar PME divides the future value of distributions plus ending NAV by the future value of contributions. All flows are compounded at the index return to the measurement date. The ending NAV is already at that date, so its factor is 1 and it is not compounded further. A PME above 1 means the private fund beat the index; below 1 means it lagged.

Key rules to remember

DPI: DPI = cumulative distributions ÷ paid-in capital; Realised only. Cannot be changed by valuation opinion.
RVPI: RVPI = residual NAV ÷ paid-in capital; Unrealised and valuation-dependent.
TVPI: TVPI = DPI + RVPI = (distributions + residual NAV) ÷ paid-in capital; Total value multiple. Ignores timing.
Since-inception IRR: 0 = Σ [CFt ÷ (1 + IRR)^t], with contributions negative, distributions positive, and ending NAV as a final inflow; Money-weighted. Depends on timing and valuation of ending NAV.
Kaplan-Schoar PME: PME = [Σ (distributions × FV factor to measurement date) + ending NAV] ÷ [Σ (contributions × FV factor to measurement date)]; Future value factors use index returns to the measurement date. The ending NAV is already at that date, so its factor is 1. PME > 1 means outperformance of the index.
Unsmoothed return (simple one-lag): R(true,t) = [R(obs,t) − φ × R(obs,t−1)] ÷ (1 − φ); φ is the smoothing weight on the prior period, 0 ≤ φ < 1. Applied across the whole series, it widens the spread of returns, which raises standard deviation.

How to solve Valuation and Performance Measurement of Private Investments questions

Use this order for any valuation or performance question on private investments.

1Read the command word and what is asked: a calculation, a comparison, or a judgment on reliability.
2List the cash flows by date: contributions as negatives, distributions as positives, and the ending NAV.
3Calculate paid-in capital first. Every multiple uses it as the denominator.
4Compute DPI, RVPI, then add them for TVPI. Check TVPI = DPI + RVPI.
5If IRR or PME is asked, set up the cash flow timeline and discount or compound consistently to one date.
6Interpret the result in context: stage of fund life, how much rests on NAV, effect of timing.
7For risk data, check for smoothing. State the effect: volatility and correlation are biased, and say what unsmoothing does.
8Give the answer with units and a one-line reason.

Quickest way: Multiples first, then judge reliability

When to use it: Item set questions that ask which fund looks best, or what a ratio means.

Find paid-in capital. Divide distributions by it for DPI and NAV by it for RVPI.
Add for TVPI. No calculator is needed for IRR comparisons: same TVPI with faster cash back means higher IRR.
Ask how much of TVPI is RVPI. High RVPI means more valuation risk.
For smoothing questions, remember: understated volatility, overstated Sharpe, understated correlation with public markets.

Common mistakes in Valuation and Performance Measurement of Private Investments

Using committed capital as the denominator for DPI, RVPI or TVPI.
Commitment is the headline figure in fund documents.
Fix: Use paid-in capital, meaning the capital actually called, unless the question says otherwise.
Treating TVPI as realised performance.
It is called total value and looks like a final result.
Fix: Split it. Only DPI is realised; RVPI is an estimate that can be revised.
Saying smoothing raises true risk.
Confusing reported risk with underlying risk.
Fix: Smoothing understates reported risk. True risk is unchanged but looks lower. Unsmoothing raises measured volatility.
Reading IRR as a guide to the multiple of money earned.
A high IRR feels like a high return in every sense.
Fix: IRR depends on timing. A short, quick deal can have a high IRR and a small multiple. Check TVPI alongside it.
Misreading PME. Believing PME of 1.15 means a 15% higher IRR.
The ratio resembles a percentage return.
Fix: PME is a ratio of values with all flows compounded to the measurement date (the ending NAV factor is 1). 1.15 means the fund created 15% more value than the same cash flows in the index, not a 15-point IRR gap.
Omitting ending NAV from the IRR cash flows.
Only actual cash movements seem to count.
Fix: For an interim SI-IRR, treat the residual NAV as a final inflow at the measurement date.

Worked examples

Example 1

A private equity fund has called ₹80,00,000 of a ₹1,00,00,000 commitment. It has distributed ₹40,00,000 and reports a residual NAV of ₹88,00,000. Calculate DPI, RVPI and TVPI, and say what share of TVPI is unrealised.

Show the solution

Paid-in capital = ₹80,00,000 (not the commitment).
DPI = 40,00,000 ÷ 80,00,000 = 0.50.
RVPI = 88,00,000 ÷ 80,00,000 = 1.10.
TVPI = 0.50 + 1.10 = 1.60. Check: (40,00,000 + 88,00,000) ÷ 80,00,000 = 1.60.
Unrealised share = 1.10 ÷ 1.60 = 68.75%.

Answer: DPI 0.50, RVPI 1.10, TVPI 1.60. About 68.75% of the total value is unrealised and depends on the GP's valuations.

Example 2

An appraisal-based real estate index reports returns of 4.0% in the current period and 6.0% in the prior period. Assume a one-lag smoothing model with φ = 0.50. Find the unsmoothed current-period return and explain the effect on risk measures.

Show the solution

Formula: R(true) = [R(obs,t) − φ × R(obs,t−1)] ÷ (1 − φ).
Numerator = 4.0% − 0.50 × 6.0% = 4.0% − 3.0% = 1.0%.
Denominator = 1 − 0.50 = 0.50.
R(true) = 1.0% ÷ 0.50 = 2.0%.
This is one return, so it does not show the effect on risk by itself. Applied across the whole series, the formula widens the spread of returns. That raises the standard deviation and the correlation with public assets, and it lowers the Sharpe ratio.

Answer: The unsmoothed current-period return is 2.0%. Applying the formula across the whole series widens the spread of returns, so measured volatility and correlation with public markets rise and the Sharpe ratio falls. This gives a more realistic view of the asset's risk.

Exam tips

Read each ratio's denominator. Paid-in capital is the usual one, and a vignette may tempt you with commitment.
For essay questions asking why a reported figure may mislead, give the direction: volatility understated, Sharpe overstated, correlation understated.
When asked to compare funds, comment on both IRR and TVPI, and on how much of TVPI is RVPI.
Show the cash flow setup for IRR or PME. A correct final number alone earns credit, but a clear setup protects you if you slip.
Match your answer count to the question. If it asks for two reasons, give exactly two.