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Calcimator

IRR Calculator

Calculate Internal Rate of Return (IRR) for an investment with multiple cash flows. Essential for comparing investment opportunities and project analysis.

About this calculator

Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of a series of cash flows equals zero -- in other words, the annualized rate of return the investment actually delivers given what you put in and what came back out, and when. This calculator takes your Initial Investment (entered as a positive number, treated internally as an outflow in year 0) along with up to five years of subsequent cash flows, then solves for IRR using the Newton-Raphson method: an iterative numerical technique that repeatedly refines a guess (starting at 10%) using the NPV function's slope until NPV at the guessed rate is close enough to zero. NPV at IRR should read approximately $0 by construction -- if it doesn't, the search likely hit its 100-iteration cap or the case is degenerate (e.g., all cash flows the same sign, which has no real IRR).

Multiple on Invested Capital (MOIC) is a simpler companion metric: total cash inflows divided by the initial investment, showing how many times over you got your money back, without regard to when. IRR and MOIC can disagree in ranking two investments -- a deal that returns money faster generally shows a higher IRR even with a lower MOIC, because IRR rewards speed of return, not just magnitude. Compare the calculated IRR to your cost of capital or a required hurdle rate to judge whether the investment clears your bar; this calculator doesn't know what that bar should be.

Inputs

$
$
$
$
$
$

Results

Internal Rate of Return (IRR)

20.53%

Multiple on Invested Capital1.8x
Total Cash Inflows$180,000.00
Net Profit$80,000.00
NPV at IRR-$0.00
How to Use This Calculator
  1. Enter the initial investment amount as a positive number — the calculator treats it as a cash outflow internally.
  2. Enter the expected cash flows for Years 1 through 5.
  3. Review the Internal Rate of Return (IRR) — the annualized return of the investment.
  4. Compare the IRR to your cost of capital or required return rate to decide if the investment is worthwhile.
  5. Also review the multiple on invested capital (MOIC) and total net profit.

How the result changes with Initial Investment

Initial InvestmentInternal Rate of Return (IRR)
$50,000.0055.67%
$75,000.0033.28%
$150,000.005.72%
$250,000.00-9.15%

What each input means

Initial Investment
The upfront investment amount (entered as positive).
Year 1 Cash Flow
Net cash flow in year 1 (positive for inflow).
Year 2 Cash Flow
Net cash flow in year 2.
Year 3 Cash Flow
Net cash flow in year 3.
Year 4 Cash Flow
Net cash flow in year 4.
Year 5 Cash Flow
Net cash flow in year 5 (include exit value if applicable).

What each result means

Internal Rate of Return (IRR)
The discount rate that makes NPV equal to zero.
Multiple on Invested Capital
Total returns divided by initial investment.
Net Profit
Total inflows minus initial investment.
NPV at IRR
Should be approximately zero.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    6 parameters
    Initial Investment = 100000, Year 1 Cash Flow = 25000, Year 2 Cash Flow = 30000, Year 3 Cash Flow = 35000, Year 4 Cash Flow = 40000, Year 5 Cash Flow = 50000 = 6 input(s) provided
  2. Calculate Internal Rate of Return
    Internal Rate of Return
    20.53 = 20.53
  3. Calculate Multiple on Invested Capital
    Multiple on Invested Capital
    1.8 = 1.8
  4. Calculate Total Cash Inflows
    Total Cash Inflows
    180000 = $180,000

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why do I enter Initial Investment as a positive number if it's a cash outflow?

This calculator's input is a straightforward dollar amount -- how much you're putting in -- entered as a positive number for clarity, and the engine automatically treats it as a negative (outflow) cash flow at year 0 internally when computing IRR and NPV. You never need to enter a negative number yourself; the sign convention is handled for you.

Why can two investments have the same MOIC but different IRR?

MOIC only measures total dollars returned relative to dollars invested, ignoring timing -- getting your money back in year 2 versus year 5 shows the same MOIC. IRR explicitly weighs WHEN cash flows arrive, since it's an annualized rate: a faster-returning investment compounds that return over fewer years, so it shows a higher IRR even at an identical MOIC. This is why IRR and MOIC are usually reported together in investment analysis.

What does it mean if NPV at IRR isn't exactly zero?

By definition, NPV at the true IRR is exactly zero; this calculator's Newton-Raphson search stops once it's within a very tight numerical tolerance, so NPV at IRR should read as a tiny fraction of a dollar, not exactly $0.00, due to floating-point rounding. If it shows a materially nonzero value, the cash flow pattern may be degenerate (for example, all cash flows the same sign has no real solution) or the iterative search hit its bound-clamping limits.

Can IRR be negative?

Yes -- a negative IRR means the investment returned less than the initial amount put in, even before considering the time value of money. This calculator bounds its search between -99% and 1000% to keep the iterative solver stable; a result pinned near -99% usually means the total inflows were far smaller than the initial investment.

Should I compare IRR directly against a savings account or bond yield?

Only as a rough sanity check, not a precise comparison. IRR from a small number of discrete annual cash flows (as modeled here) doesn't account for risk, illiquidity, taxes, or fees the way a straightforward savings yield does. For capital-budgeting decisions, compare the calculated IRR to your organization's cost of capital or required hurdle rate, which should already reflect the specific investment's risk profile.

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