IRR, MOIC, DPI, and TVPI

Why Private Funds Need Their Own Metrics

Public market investments are priced daily. You can look at a stock portfolio at any moment and calculate an exact return — the math is straightforward because market prices are observable. Private funds work differently. Capital is drawn down over time as the manager finds deals, held for years as companies are built or restructured, and eventually returned to investors through a series of distributions spread across a decade or more. A single percentage return figure cannot capture all of that complexity.

That is why the private markets industry uses a family of metrics rather than one. Each metric is a lens with a slightly different focal point, and reading them together — as professionals do — reveals information that any single number would obscure. Families investing in private equity, private credit, venture capital, or other private strategies benefit from understanding what each metric actually measures, how it can be influenced, and where it can mislead.

IRR: The Time-Weighted Return for Private Funds

Internal Rate of Return (IRR) is the annualized discount rate that makes the net present value of all cash flows — capital calls out, distributions in — equal to zero. In plain English: IRR answers the question, "If this fund were a savings account, what annual interest rate would produce exactly these cash flows?" A fund that returned 25% IRR over ten years compounded money faster than one that returned 15% IRR over the same period.

IRR is sensitive to timing in ways that can matter enormously. Cash returned early carries more weight than cash returned late, because early cash can be reinvested. This makes IRR a genuinely useful measure of capital efficiency — but it also makes it susceptible to engineering.

How Subscription Lines Can Inflate IRR

Many funds use a subscription credit line — a short-term borrowing facility secured against investors' unfunded committed capital. Rather than issuing a capital call immediately when a deal closes, the fund borrows against the credit line for several months, then calls capital later. Because IRR starts the clock when investor capital actually arrives — not when the fund made the investment — delaying calls compresses the apparent holding period and mechanically inflates IRR, sometimes by several percentage points, without any change in underlying investment performance.

This is not necessarily improper; subscription lines serve legitimate liquidity purposes. But it is a reason why capital call timing matters to IRR interpretation, and why sophisticated investors ask managers to report IRR both with and without the effect of credit facility borrowings.

How Early Distributions Can Inflate IRR

Similarly, a manager who sells the portfolio's strongest asset early can produce a high IRR by returning capital quickly — even if the remaining portfolio is mediocre. The IRR looks excellent because large cash came back fast. MOIC and DPI often tell a more sobering story in these situations.

MOIC, TVPI, DPI, and RVPI: The Multiple Family

Multiple on Invested Capital (MOIC) is simpler than IRR: it divides the total value received (and still held) by the total capital invested, ignoring time. A fund that invested an illustrative $100 million and returned an illustrative $200 million has a 2.0x MOIC, regardless of whether that took five years or fifteen. MOIC does not penalize slowness the way IRR does.

Total Value to Paid-In (TVPI) is effectively MOIC calculated at the fund level, using paid-in capital as the denominator. It adds two components:

• DPI (Distributions to Paid-In): The ratio of cumulative cash actually distributed to investors divided by the capital they have paid in. This is realized, received value.
• RVPI (Residual Value to Paid-In): The ratio of the fund's reported remaining net asset value (the estimated worth of unrealized investments) divided by paid-in capital. This is paper value — real only when monetized.

So: TVPI = DPI + RVPI. As a fund matures and exits investments, DPI rises and RVPI shrinks. In a healthy, fully realized fund, DPI should approach TVPI. In an early-stage fund, RVPI dominates — and RVPI rests entirely on the manager's own valuation of assets that have not yet been sold.

A Worked Illustrative Example

Consider a hypothetical fund — call it Hypothetical Capital Partners III — with illustrative figures to show how the metrics relate to each other at different points in its life.

Metric	Year 4 (Early)	Year 7 (Mid-Life)	Year 12 (Final)
Paid-In Capital (illustrative)	$80M of $100M committed	$100M	$100M
Cumulative Distributions (DPI numerator)	$10M	$85M	$195M
Remaining NAV (RVPI numerator)	$90M	$70M	$0
DPI	0.13x	0.85x	1.95x
RVPI	1.13x	0.70x	0.0x
TVPI (DPI + RVPI)	1.26x	1.55x	1.95x
Net IRR (illustrative)	22%	18%	14%

Notice two patterns in this illustrative example. First, IRR tends to decline over a fund's life even as total value grows — early distributions boost it, but as time passes the compounding math becomes less forgiving. This is related to the J-curve effect, where performance metrics shift as a fund matures. Second, TVPI at Year 4 depends almost entirely on RVPI — unrealized, manager-estimated value. By Year 12 the fund is fully realized, and TVPI equals DPI: the only number that truly matters.

DPI: Why Practitioners Call It the Truth Metric

Among sophisticated allocators, DPI has a quiet reputation as the metric that cannot be dressed up. IRR can be improved by timing mechanics. RVPI reflects a manager's own marks on illiquid assets — marks that can be optimistic. But DPI represents cash that has actually landed in investors' accounts. It is audited, wired, and real.

A fund with a 2.5x TVPI but a 0.4x DPI late in its life has returned less than half of invested capital in cash, with the rest sitting in the manager's own valuation of remaining assets. Investors have reason to watch that RVPI closely. A fund with a 2.0x TVPI and a 1.8x DPI has nearly fully returned capital in cash, with only a small residual remaining — a very different risk profile.

This is not to say RVPI is meaningless. Early in a fund's life, almost all value is unrealized, and that is expected. The concern arises late in a fund's stated term when RVPI remains stubbornly high — sometimes a signal that exits are delayed, that assets have been transferred into continuation funds, or that valuations have not caught up with reality.

A useful practice among experienced investors: track DPI relative to fund age and compare it to peers from the same vintage year. A fund that is consistently slower to distribute than peers from the same era warrants questions.

When IRR and MOIC Disagree — and What That Means

IRR and MOIC can tell genuinely different stories about the same investment, and neither is wrong. They measure different things.

• A fund that returned 3.0x MOIC over fifteen years might show a modest IRR — because time dilutes the annualized rate.
• A fund that returned 1.5x MOIC over two years could show a spectacular IRR — because the capital came back very fast.
• In the first case, the investor made more money in absolute terms. In the second, the investor's capital was deployed more efficiently per year, which matters if reinvestment opportunities exist.

Which matters more depends on the investor's actual situation. Families with long time horizons and limited near-term liquidity needs may weigh MOIC heavily. Families who need to recycle capital into new opportunities frequently may weight IRR. This is one reason investment policy statements for private market programs often specify which metrics anchor performance evaluation — and why no single benchmark suffices.

Public Market Equivalents: Putting IRR in Context

IRR, MOIC, DPI, and TVPI are all internal to the fund — they say nothing about whether the fund did better or worse than an investor could have done in public markets over the same period. That comparison requires a separate analytical tool: the Public Market Equivalent (PME).

The PME concept asks a counterfactual question: what would have happened if, every time the private fund called capital, that same amount had instead been invested in a public market index? And every time the fund made a distribution, that same amount had been withdrawn? The resulting comparison — private fund IRR versus the hypothetical public market IRR — is a more meaningful benchmark than simply comparing IRR to a fixed percentage hurdle.

Several PME methodologies exist (Kaplan-Schoar, Long-Nickels, and others are referenced in the academic literature), and each has nuances. The core idea, however, is intuitive: private markets carry illiquidity, complexity, and manager-selection risk that public markets do not. Measuring whether the private return justified those additional burdens is a legitimate question, and PME is one framework for asking it.

For practical guidance on how these metrics interact with broader performance evaluation frameworks, the discussion at benchmarks and performance measurement addresses the public-market context in greater detail.

Common Mistakes and Questions to Ask

Several patterns recur when families evaluate private fund performance metrics without sufficient context.

• Comparing IRRs across different vintage years. A fund that invested during a period of low asset prices will naturally find exits at higher multiples than one that deployed capital at peak valuations. Vintage year comparisons are essential context.
• Treating TVPI as if it were DPI. Unrealized value is an estimate, not a bank transfer. Families who plan liquidity needs around TVPI — rather than DPI — may be surprised when exit timing shifts.
• Ignoring the effect of fees. All four metrics should be evaluated on a net basis — after management fees, carried interest, and fund expenses. Gross and net figures can diverge significantly. A fuller discussion of fee structures appears at private fund fees and terms.
• Accepting IRR without asking about credit line usage. Asking a manager to report both gross-of-credit-line and net-of-credit-line IRR is a straightforward question that provides important context.

Families and their advisers who are building or reviewing a private markets program may also benefit from the framework discussion in evaluating a private fund, which addresses how these metrics fit into the broader due diligence process.