Private Equity Metrics

MOIC versus IRR: Differences, Formulas and Examples

MOIC compares total value with the capital invested. IRR adds the timing of each cash flow. Here's how each private equity metric works, why time changes the answer, and what to ask before relying on either one.

Insight Highlights

  • MOIC (multiple on invested capital) compares an investment's total value, realized and unrealized, with the capital invested. It ignores time.
  • IRR (internal rate of return) is an annualized return that depends on when cash goes in and comes out, so the same multiple can produce very different IRRs.
  • Because IRR is sensitive to timing, tools like subscription credit facilities can change reported IRR without changing the underlying investments. Reviewing both metrics together gives a fuller picture.
Video · MOIC vs IRR: Assessing Private Equity Performance · 2:26

The main difference between MOIC versus IRR is how each treats time. MOIC compares total investment value with the capital invested, without considering when cash flows occur. IRR is an annualized, money-weighted measure that reflects their amount and timing. Financial advisors should review both alongside realized distributions, remaining valuations, fees and expenses.

MOICIRR
What it measuresTotal value (realized plus unrealized) relative to capital investedThe annualized rate at which the investment's cash flows have a net present value of zero
Accounts for timing?NoYes: when each cash flow occurs changes the result
Expressed asA multiple, such as 3.0xA percentage per year, such as 24.6%
Main limitationIgnores how long the value took to createSensitive to cash-flow timing; can be high on a small, quick gain

A 3.0x MOIC means total value equals three times the capital invested, including the original capital. Neither metric alone establishes investment risk or manager skill.

A few terms come up throughout:

Realized value
Amounts already distributed, such as proceeds from a sale.
Unrealized value
The estimated value of holdings not yet sold. It can change until they are.
NAV
Net asset value: a fund's residual value after liabilities at a reporting date, including the estimated value of remaining investments.
Gross vs. net
Gross figures are before management fees, fund expenses and carried interest; net figures are after them.

Below, we break down how MOIC and IRR are calculated, walk through simple examples, explain why the length of an investment changes the result, and finish with the questions worth asking before relying on either figure.

What Is MOIC?

MOIC, or multiple on invested capital, is the total value of an investment divided by the amount invested. It shows total value as a multiple of the capital invested, including the original capital, without regard to how long it took.

Total value has two parts: the cash that has already been returned (realized value) and the estimated value of what is still held (unrealized value, often the fund's net asset value, or NAV).

MOIC formulaMOIC = Realized Value + Unrealized ValueInvested Capital

Illustrative example

An investor puts $100 into an investment. Today, it has returned $120 in cash and the remaining holdings are valued at $180.

MOIC = ($120 + $180) ÷ $100 = 3.0x

A 3.0x MOIC means total value equals three times the capital invested, including that original $100, and $180 of it is still an estimate. A MOIC above 1.0x means total value exceeds the capital invested; below 1.0x means it is worth less than what was put in. What MOIC doesn't tell you is whether that 3.0x took three years or ten.

Is MOIC the Same as TVPI?

Not quite. MOIC and TVPI (total value to paid-in capital) are built the same way, and you'll often see them used interchangeably. The difference is usually in whose perspective is being measured and what has been deducted.

  • MOIC is often calculated on the capital a fund invested in its portfolio companies, at the deal or fund level. It is frequently shown before management fees, fund expenses and carried interest.
  • TVPI is usually calculated from the limited partner's point of view, on the capital the investor actually paid in, and after fees, expenses and carried interest.

TVPI also breaks down neatly into its realized and unrealized parts:

TVPI componentsTVPI = DPI + RVPI
DPI
Distributions to paid-in capital: cumulative distributions to investors relative to the capital they paid in.
RVPI
Residual value to paid-in capital: the fund's residual NAV relative to paid-in capital.

Conventions vary by manager, so the practical rule is simple: when someone quotes a multiple, ask whether it is gross or net, and whose capital is in the denominator. DPI, the distributed share, is often the most telling number for a fund that is well into its life. Our guide to TVPI vs. DPI explains both metrics in detail.

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What Is IRR?

IRR, or internal rate of return, is the annualized discount rate at which the present value of all of an investment's cash flows equals zero. In plain terms, it's a yearly rate of return that accounts for when money was invested and when it came back.

IRR solves for r0 = Σ CFt(1 + r)t
CFt
The cash flow at time t: negative when capital goes in, positive when it comes out (the final period includes any remaining value).
t
The time of each cash flow, in years from the first one.
r
The rate that makes the sum equal zero. That rate is the IRR.

There's no simple closed-form solution when an investment has many cash flows, so IRR is found by iteration. In practice, most people use a spreadsheet's XIRR function, which handles irregular dates.

When there's just one cash flow in and one out, the math collapses to a shortcut:

Single cash flow shortcutIRR = MOIC(1 ÷ years) − 1

This shortcut applies only with a single contribution and a single distribution. With multiple cash flows, MOIC alone can't determine IRR.

Illustrative example

An investor puts in $100 and receives $300 exactly three years later.

IRR = 3.0(1/3) − 1 ≈ 44.2%

If the same $300 arrives after five years instead, the IRR falls to about 24.6%. The multiple is identical. Only the timing changed.

IRR is often described as an annualized return, which is a helpful shorthand. Keep in mind it is a money-weighted measure: it reflects the specific timing of the investor's own cash flows, which is why two investors in the same fund can see different IRRs if they committed or contributed at different times.

What Is the Difference Between MOIC and IRR?

For an investment that gains value, holding MOIC constant, a shorter holding period produces a higher IRR. Holding a positive IRR constant, a longer holding period produces a higher MOIC. That trade-off is the heart of the MOIC versus IRR comparison: time. (For an investment that loses value, the effect flips: a shorter period makes the IRR more negative.)

Illustrative scenarioInvestedReturnedHolding periodMOICIRR
A$100$3003 years3.0x44.2%
B$100$3005 years3.0x24.6%

Single cash flow in at the start, single cash flow out at the end. IRR = MOIC(1/years) − 1. Hypothetical arithmetic only.

IRR implied by a 3.0x MOIC at different holding periods Bar chart. The same 3.0x multiple implies an IRR of about 73% over 2 years, 44% over 3 years, 32% over 4 years, 25% over 5 years, 20% over 6 years and 17% over 7 years. Same 3.0x multiple, different IRR IRR implied by turning $100 into $300, by holding period 20% 40% 60% 0% 73.2% 44.2% 31.6% 24.6% 20.1% 17.0% 2 yrs3 yrs4 yrs5 yrs6 yrs7 yrs Highlighted bars match scenarios A and B in the table above.
Chart by Crystal Capital Partners. Hypothetical arithmetic showing how a fixed multiple translates into IRR over different holding periods; not the performance of any investment.

Can a High IRR Come With a Low MOIC?

The relationship also works in reverse. A quick gain can produce a high IRR on a modest amount of value.

Illustrative example

An investment gains 10% in six months.

MOIC = 1.10x  ·  IRR = 1.102 − 1 ≈ 21%

A 21% IRR is a high annualized figure, but reaching a 2.0x MOIC (turning $100 into $200) at a 21% annual rate takes roughly 3.6 years of compounding. A single six-month investment can't provide that. The investor would need to keep finding new opportunities that earn the same rate, over and over, for the full period.

That redeployment is called reinvestment risk. Some investors are comfortable recycling capital through a series of shorter investments. Others would rather put money to work once and let it compound. Neither preference is wrong, but it's worth knowing which kind of result a headline IRR represents.

Timing also shapes how private equity returns tend to evolve over a fund's life. Early fees and unrealized positions can weigh on returns in the first years, then returns may improve as investments mature and are sold. This pattern is often called the J-curve.

How Can Subscription Credit Facilities Change Reported IRR?

A subscription credit facility lets a fund borrow to make an investment before it calls capital from its investors. Because investors' money goes in later, the period it's at work is shorter, which can increase reported investor-level IRR, depending on cash flows, investment outcomes and borrowing costs. The underlying investment hasn't changed.

Traditionally, when a private equity manager agreed to a deal, it sent investors a capital call requesting their share of the purchase price. A subscription line (sometimes called a capital call facility) is a loan, typically backed by investors' uncalled commitments, that lets the fund close the deal first and call capital later.

These facilities have real operational benefits. They can let a manager move quickly on a transaction and batch capital calls on a predictable schedule, such as quarterly, which helps investors plan their cash. The side effect is on reported IRR.

Capital call timing with and without a subscription credit facility Two timelines from Year 0 to Year 5. Without a facility, the investor's $100 is called at closing in Year 0 and $500 returns at the end of Year 5, for an IRR of about 38%. With a facility, the call is delayed one year, so the money is invested for four years and the IRR is about 49.5%. Same deal, same $500 outcome, different IRR Capital called at closing −$100 +$500 investor capital at work: 5 years ≈38% IRR · 5.0x Call delayed 1 year by facility fund borrows −$100 +$500 investor capital at work: 4 years ≈49.5% IRR · 5.0x Year 012345
Diagram by Crystal Capital Partners. Hypothetical example that ignores the facility's interest cost, which is covered in the example below.

Illustrative example

A manager closes an investment in Year 0, paying $100. At the end of Year 5, the investment is worth $500 (a 5.0x MOIC).

  • No facility: investors fund the $100 at closing. IRR over five years ≈ 38.0%.
  • With a facility: the fund borrows the $100 and calls it from investors one year later. Investors' money is at work for four years. IRR ≈ 49.5%.

Borrowing isn't free. Suppose the year of borrowing costs the fund $7 in interest and fees, paid out of the Year 5 proceeds. Investors then receive $493 at the end of Year 5 instead of $500. MOIC falls to 4.93x, while IRR is still about 49%, above the no-facility case. With different cash flows, outcomes or borrowing costs, the effect could be smaller, or reverse.

The takeaway isn't that credit facilities are good or bad. It's that IRR is more sensitive to timing decisions than MOIC, and those decisions aren't always about the quality of the underlying investments. When a fund uses a subscription line, it's reasonable to ask to see IRR calculated both with and without it.

Pros and Cons of MOIC and IRR

MOICIRR
AnswersHow much value was created per dollar?How efficiently, per year, was that value created?
StrengthsSimple to calculate and explain. Hard to influence with cash-flow timing.Accounts for the time value of money. Makes investments of different lengths easier to compare.
LimitationsIgnores time entirely. A 2.0x over 3 years and over 10 years look identical.Sensitive to timing, including credit facilities and early distributions. Can look high on small, quick gains.
Watch forGross vs. net basis, and how much of the value is unrealized.Whether a subscription line was used, and whether the figure is gross or net of fees.

Both metrics include unrealized value while a fund is still active, so both can change as holdings are revalued or sold.

Questions to Ask When Reviewing Private Equity Performance

Whichever metric leads a manager's presentation, these questions help put the number in context:

  1. Is it gross or net? Has the figure been reduced by management fees, fund expenses and carried interest?
  2. How much is realized? What share of total value has actually been distributed (DPI) versus estimated (RVPI)?
  3. How is unrealized value determined? Who sets the NAV, how often, and using what methodology?
  4. Was a subscription credit facility used? If so, what is the IRR with and without it?
  5. What period does it cover? Is the fund early in its life, where returns can be volatile, or largely realized?
  6. Are you comparing like with like? Funds of different vintages, strategies and lengths can produce very different numbers for reasons unrelated to skill. Approaches such as a public market equivalent (PME) analysis are one way to add context.

Fee terms also feed directly into net returns. When reviewing a fund's economics, look at the hurdle rate, or preferred return, any catch-up provision, and how carried interest is calculated, since each affects the gap between gross and net figures.

Using MOIC and IRR Together

MOIC and IRR are two views of the same investment. MOIC shows the size of the outcome. IRR shows the speed. Looking at only one can be misleading: a high multiple earned slowly, or a high IRR earned on a small, fast gain, each tells half the story. Neither metric alone establishes investment risk or manager skill.

A practical approach is to read them side by side, check the realized portion through DPI, confirm the gross or net basis, and ask about anything that changes cash-flow timing. Together, those steps turn two headline numbers into a clearer picture of how an investment actually performed.

Frequently Asked Questions

What is the difference between MOIC and IRR?

MOIC (multiple on invested capital) compares an investment's total value, including unrealized value, with the capital put in, without regard to time. IRR (internal rate of return) is the annualized rate that sets the present value of an investment's cash flows to zero, so it reflects both how much was returned and when.

Is MOIC the same as TVPI?

They are close but not identical. MOIC is often calculated on invested capital at the deal or fund level and may be shown before fees and carried interest. TVPI (total value to paid-in capital) is usually calculated from the limited partner's perspective, net of fees, expenses and carried interest. Always confirm which basis a manager is using.

Can a high IRR come with a low MOIC?

Yes. A short holding period can produce a high IRR on a small gain. For example, a 10% gain over six months annualizes to an IRR of about 21%, while the MOIC is only 1.10x.

How do subscription credit facilities affect IRR?

A subscription line lets a fund borrow before calling capital from investors. Calling capital later shortens the period the investor's money is at work, which can increase reported investor-level IRR, depending on cash flows, investment outcomes and borrowing costs. The facility's interest and fees lower MOIC, by an amount that depends on those costs. Asking for IRR both with and without the facility shows how much of the result comes from timing.

Should advisors use MOIC or IRR to evaluate private equity?

Both. MOIC shows total value relative to capital invested, and IRR shows how that value relates to time. Reviewing them together, along with DPI, the gross or net basis and the time period measured, gives a more complete picture than either metric alone.

About the examples: All figures in this article are illustrative arithmetic using round numbers to show how the formulas work. They do not represent the actual or expected performance of any investment, fund, manager or Crystal Portfolio, and are not modeled, back-tested or projected results.

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