XIRR - Extended IRR for Irregular Cash Flows

By EC Assets Research Team, Performance Measurement · Published · Updated

XIRR: XIRR (Extended Internal Rate of Return) calculates the annualised return on investments with irregular cash flow timing. It is the standard methodology for private equity, venture capital, and any investment with non-uniform cash flow dates.

What XIRR Measures

XIRR is the annualised internal rate of return of a set of cash flows that occur on irregular dates. It finds the single discount rate at which the present value of everything received equals the present value of everything paid in. The X stands for the extension of the ordinary IRR, which assumes equally spaced periods, to cash flows with arbitrary dates.

That makes it the natural measure for private equity, venture capital, infrastructure and real estate funds. Capital is drawn when the manager finds investments, through capital calls, and returned when it exits them, both at dates no investor chooses. XIRR is money-weighted: periods in which more of the investor's capital is at work count for more. The contrast with time-weighted measures is covered in time-weighted vs money-weighted return.

How It Works

$$0 = \sum_i \frac{CF_i}{(1 + r)^{(d_i - d_0)/365}}$$

Outflows are negative, inflows positive, and time is measured in days from the first cash flow divided by 365. There is no closed-form solution; spreadsheet functions find r iteratively.

Private fund reporting puts XIRR next to multiples, because each answers a different question:

Measure Question it answers Sensitive to timing?
XIRR What annual rate did the money earn while it was invested? Yes, strongly
TVPI How many times paid-in capital is the total value, realised plus unrealised? No
DPI How many times paid-in capital has actually been returned in cash? No
Time-weighted return How did the investments perform regardless of cash flow timing? No

A good private fund report shows the rate and the multiples together; either one alone can mislead.

For funds that are still running, the remaining net asset value enters the calculation as a final notional distribution on the reporting date.

Worked Example

An investor's cash flows in a private equity fund:

Date Cash flow Event
15 Mar 2020 -2,000,000 First capital call
20 Aug 2020 -1,500,000 Second capital call
10 Feb 2021 -1,000,000 Third capital call
5 Sep 2021 -500,000 Fourth capital call
20 Nov 2022 -500,000 Final capital call
15 Jun 2023 +1,000,000 First distribution
22 Mar 2024 +2,500,000 Second distribution
10 Jan 2025 +5,000,000 Final distribution

Paid in 5.5 million, received 8.5 million: a TVPI of 1.55 times.

The XIRR is 12.28 percent. Two changes that leave the multiple untouched show how much of that figure is timing:

The same effect separates speed from size. A deal returning 1.3 times its cost after one year has an IRR of 30 percent; one returning 2.0 times after five years has an IRR of 14.9 percent. The second made far more money.

When It Applies (and Limitations)

It rewards speed, not only profit. Because IRR measures a rate, early partial exits and late capital calls raise it even when the total gain does not change. That is why the multiple belongs next to it in every report, and why a high IRR on a small multiple deserves a second look.

Interim figures depend on valuations. Before a fund is fully realised, its XIRR includes the reported NAV as if it were a cash distribution. Optimistic marks raise the IRR; the final figure is known only when the last holding is sold. The early years also carry the J-curve, when fees and costs make the IRR negative before investments mature.

Several sign changes allow several answers. A pattern of calls, distributions and further calls can produce more than one rate that sets net present value to zero, and spreadsheet functions return whichever their starting guess finds.

It says nothing about risk or about alternatives. A 15 percent XIRR is good or bad only relative to what public markets returned over the same dates. Public market equivalent methods, such as the ratio introduced by Kaplan and Schoar (2005), invest the same cash flows in an index and compare the outcomes.

Why It Matters for Institutional Investors

It is the headline number in private markets. Fund marketing, benchmarking by vintage year and manager selection all lead with net IRR. Knowing how it can be moved by timing, credit lines and interim marks is the first defence against comparing unlike figures.

Subscription lines need separate disclosure. The Institutional Limited Partners Association recommends reporting IRR both with and without the effect of credit facilities. As the worked example shows, the difference can amount to two percentage points without any difference in investment results.

Distribution timing shapes the IRR as well as the cash. Under a distribution waterfall the manager's carried interest often depends on a hurdle measured as an IRR, which gives the manager an incentive to return capital early and call it late.

Pooled and averaged IRRs differ. The IRR of a portfolio of funds is not the average of their IRRs. Pooling the cash flows of all funds and solving once gives the investor's actual experience; averaging fund IRRs gives every fund equal weight regardless of size and timing.

References

  1. Microsoft. (n.d.). XIRR function. Microsoft Support documentation for Excel.
  2. Kaplan, S. N., & Schoar, A. (2005). Private Equity Performance: Returns, Persistence, and Capital Flows. Journal of Finance, 60(4), 1791-1823.
  3. Phalippou, L., & Gottschalg, O. (2009). The Performance of Private Equity Funds. Review of Financial Studies, 22(4), 1747-1776.
  4. Institutional Limited Partners Association. (2020). Enhancing Transparency Around Subscription Lines of Credit: Recommended Disclosures Regarding Exposure, Capital Calls and Performance Impact. ILPA.

Frequently asked questions

What is the difference between IRR and XIRR?

Both solve for the discount rate that sets the net present value of a series of cash flows to zero. The spreadsheet IRR function assumes equally spaced periods; XIRR takes an explicit date for each cash flow and measures time in days divided by 365. For private fund cash flows, which arrive on irregular dates, XIRR is the correct version.

When should I use time-weighted return instead of XIRR?

Use time-weighted return when the manager does not control the timing of cash flows, as in open-ended funds where investors subscribe and redeem at will; it isolates the manager's investment decisions. Use XIRR when the manager decides when capital is drawn and returned, as in private equity, because the timing is part of the result.

Does XIRR assume cash is reinvested at the XIRR?

Not literally; it is simply the rate that equates the cash flows. But it behaves as if early distributions kept earning that rate, which is why quick partial exits can keep a fund's IRR high even when little money remains at work. The modified IRR makes an explicit, more modest reinvestment assumption instead.

Why do private equity funds report IRR with and without subscription lines?

Because borrowing against investors' commitments delays capital calls, which shortens the period in which investors' money is outstanding and raises the IRR without changing the multiple. Industry guidance from ILPA asks managers to show both figures so that investors can see how much of the IRR comes from financing rather than investments.

Can XIRR have more than one answer?

Yes, when cash flows change sign more than once, for example a call, a distribution and then a further call. The net present value can then cross zero at several rates, and spreadsheet functions return whichever root their starting guess finds. For a typical fund, with calls first and distributions later, the solution is unique.

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