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IRR Calculator

Internal rate of return on any series of investment cash flows.

Quick answer

The internal rate of return is the discount rate at which a project's net present value equals zero. It is solved numerically rather than algebraically, and it assumes every interim cash flow is reinvested at the IRR itself — usually optimistic, which is why NPV should decide between competing projects.

Investment cash flows
$
%

Internal rate of return

18.03%

clears your hurdle rate

NPV at hurdle rate

$1,839

Total cash returned

$15,000

Multiple on investment

1.5×

Years of cash flow

4

IRR assumes every interim cash flow is reinvested at the IRR itself — usually optimistic. Compare against NPV before committing.

The break-even discount rate

IRR is the discount rate that makes a project's net present value exactly zero — the return the investment earns on the capital while it is tied up. There is no closed-form solution for more than a couple of periods, so it is found numerically: this calculator brackets the answer and bisects until the NPV is effectively zero.

Worked example: $10,000 returning $15,000 over four years

Inflows of $3,000, $4,000, $5,000, and $3,000 against a $10,000 outlay give an IRR of about 18.0%. Total cash back is 1.5× the investment, but that headline hides the timing — the same $15,000 arriving entirely in year four would be a far lower IRR. At a 10% hurdle rate the project's NPV is $1,839, confirming it clears the bar.

The reinvestment assumption is the catch

IRR implicitly assumes each interim cash flow is reinvested at the IRR itself. If a project shows a 30% IRR, the arithmetic assumes you can redeploy every distribution at 30% — rarely true. This inflates IRR relative to what you actually earn, and the effect grows with longer projects and earlier cash flows. MIRR, which discounts at your real reinvestment rate, exists precisely to fix this.

When IRR breaks down

Cash flows that change sign more than once can produce multiple IRRs, all mathematically valid and none meaningful — a project with a large cleanup cost at the end is the classic case. IRR also can't rank projects of different sizes: 50% on $1,000 beats 20% on $1,000,000 by IRR and loses badly by dollars created. And it says nothing about risk, so a high IRR on a speculative venture isn't comparable to a lower one on a safe asset.

Using it well

Treat IRR as a screening number and NPV as the decision. IRR is genuinely useful for comparing similarly sized, similarly risky projects and for communicating returns, which is why private equity and real estate quote it constantly. Just remember it is sensitive to timing: extending a holding period at the same total profit lowers the IRR, which is why sponsors sometimes exit earlier than value alone would suggest.

Frequently asked questions

How do you calculate IRR?
IRR is the discount rate at which NPV equals zero. There's no algebraic solution beyond simple cases, so it's solved numerically by trial. For a $10,000 investment returning $3,000, $4,000, $5,000, and $3,000, the IRR is about 18.0%.
What is a good IRR?
It's only meaningful against a hurdle rate and a risk level. A 12% IRR is strong for stabilised real estate and weak for early-stage venture investing. Compare it to what the same capital could earn elsewhere at comparable risk, not to an absolute benchmark.
What is the difference between IRR and ROI?
ROI is total gain over cost with no regard for timing; IRR is annualized and fully time-weighted. Doubling your money in one year and in ten years is a 100% ROI either way, but the IRRs are 100% and about 7.2%.
Why can a project have more than one IRR?
Because solving for the rate that zeroes NPV is a polynomial, and cash flows that switch sign more than once can have several valid roots. This happens with projects carrying large end-of-life costs. When it occurs, IRR is uninformative and you should use NPV.

Sources & methodology

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