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What Is Internal Rate of Return?

What is the internal rate of return? IRR is one of the fundamental building blocks of financial analysis.  It is the rate of return that an investor receives on their investment when adjusted for annual compounding.  Read this article to see this explanation broken down further, as well as examples where it gets used.  

IQ Calculators8 min read
What Is Internal Rate of Return?

Key Takeaways

  • IRR is the annualized return that makes an investment's NPV equal zero.
  • Compare it to your required return (hurdle rate) to judge a deal.
  • It accounts for the timing and size of all cash flows.
  • IRR has limits: pair it with NPV for the full picture.

What is IRR?

The internal rate of return[1] (IRR) is the annualized percentage return an investment is expected to generate over its life, accounting for the timing and size of all its cash flows. It's one of the most widely used metrics in finance for evaluating and comparing investments, from a rental property to a business project to a bond.

What makes IRR powerful is that it distills a complex stream of cash flows, money invested, income received over years, and a final payout, into a single, intuitive number: a percentage return. That lets you compare very different investments on a common basis, asking simply 'what annualized return does each produce?' regardless of their differing cash-flow patterns.

Because it's expressed as a percentage, IRR is also directly comparable to other returns you might earn. You can stack a project's IRR against the return on stocks, the interest on a loan, an annuity's payout, or your own required rate of return, and immediately see how it measures up. This comparability is a big part of why IRR is so popular among investors and businesses.

IRR is fundamentally tied to net present value, as the next section explains, and the two are best understood together. The sections below define IRR precisely, show how to calculate and interpret it, and cover its limitations. You can compute it for any cash-flow stream with the IRR Calculator.

IRR and net present value

IRR is defined in terms of net present value[2] (NPV): it's the discount rate at which an investment's NPV equals exactly zero. To understand this, recall that NPV discounts all of an investment's future cash flows back to today's dollars at a chosen rate, then subtracts the initial cost. IRR is the special rate that makes that calculation come out to zero.

Conceptually, the IRR is the breakeven discount rate: the return at which the investment's discounted inflows exactly equal its outflows. If you discount the cash flows at a rate below the IRR, the NPV is positive (the deal adds value); discount at a rate above the IRR, and the NPV turns negative. The IRR sits right at the dividing line.

This relationship is why IRR and NPV always agree on whether a single investment is worthwhile relative to a given hurdle rate, even though they express the answer differently: IRR as a percentage, NPV as a dollar amount. They're two sides of the same discounted-cash-flow analysis, and understanding one illuminates the other.

The connection also explains how IRR is calculated. Because IRR is the rate that zeroes out NPV, finding it means solving for that rate, which, as the next section describes, generally can't be done with simple algebra and instead requires iteration or a calculator. But the underlying idea is straightforward: IRR is simply the return that makes the investment break even in present-value terms.

How to calculate IRR

Unlike a simple return, IRR usually can't be solved directly with algebra, because it appears inside the NPV equation in a way that resists isolation. Instead, it's found through trial and error: testing different discount rates until you find the one that makes NPV zero, or, far more practically, with a financial calculator or spreadsheet that does the iteration for you.

The inputs are the investment's cash flows: the initial amount invested (a negative outflow) and the series of returns received over time (positive inflows), including any final sale or payout. Given those, the tool searches for the discount rate that balances them to zero. The manual trial-and-error method illustrates the concept, but in practice everyone uses software.

A worked example clarifies it. Suppose you invest $10,000 and receive $3,000 a year for five years: $15,000 total. Simply summing says you 'made' $5,000, but that ignores timing. IRR accounts for the fact that those $3,000 payments arrive gradually, and it works out to an annualized return meaningfully below what the raw total suggests, because you waited years for the money.

That example shows why IRR is more honest than naive return math. By weighing when each dollar arrives, it reflects the time value of money, giving a true annualized return rather than an inflated headline figure. The IRR Calculator handles the iteration instantly, so you can focus on interpreting the result rather than grinding through trial and error.

Interpreting IRR against a hurdle rate

An IRR figure is only meaningful when compared to something: specifically, your hurdle rate, the minimum return you require for an investment of that risk. The decision rule is simple: if the IRR[3] exceeds your hurdle rate, the investment is expected to create value and clears your bar; if it falls short, it doesn't, and you'd pass or demand better terms.

Your hurdle rate reflects your opportunity cost and the risk involved. It might be the return you could earn elsewhere, your cost of borrowing, or a target return you set for the risk level. A riskier investment warrants a higher hurdle rate, so the same IRR could clear the bar for a safe project but fall short for a speculative one.

When choosing among several investments, a higher IRR generally signals a more attractive deal, all else equal; it's producing a greater annualized return. This makes IRR a natural tool for ranking opportunities, which is part of why businesses use it to prioritize projects competing for limited capital. The project with the highest IRR above the hurdle often wins.

That said, ranking purely by IRR can mislead in ways the next section explains, so the comparison to a hurdle rate is best treated as a first screen rather than the final word. Used properly, though, the IRR-versus-hurdle-rate test is a clear, intuitive way to judge whether an investment earns enough to justify its risk.

IRR's limitations

IRR is powerful but imperfect, and one important limitation is its reinvestment assumption. The math implicitly assumes that interim cash flows are reinvested at the IRR itself, which may be unrealistic if the IRR is high: you might not find other investments offering that same return. This can make a high IRR look better than the investment will actually deliver in practice.

Another issue is multiple or no IRRs. When an investment has unconventional cash flows, for instance, outflows that occur after inflows, like a project requiring a big cleanup cost at the end, the IRR equation can have more than one solution, or none, making the figure ambiguous or meaningless. In these cases, IRR alone can't reliably guide a decision.

IRR can also mislead on scale. Because it's a percentage, it can favor a small investment with a high IRR over a much larger one with a lower IRR that creates far more total wealth. A 50% return on $1,000 looks better than a 20% return on $1 million by IRR, but the second adds vastly more dollars. IRR ignores the size of the prize.

These limitations don't make IRR useless; they make it something to use thoughtfully. Being aware of the reinvestment assumption, watching for unconventional cash flows, and remembering that IRR ignores scale lets you avoid the traps. The remedy is to pair IRR with NPV rather than relying on it alone.

IRR vs. other metrics

Because of its limitations, IRR is best used alongside net present value rather than by itself. Where IRR gives an annualized percentage return, NPV gives the dollar value an investment adds at your required rate. NPV doesn't suffer from the multiple-solution problem and correctly accounts for scale, making it the more reliable tie-breaker when ranking deals of different sizes.

The two complement each other neatly. IRR is intuitive and easy to compare across investments, while NPV is rigorous and dollar-denominated. Using both, you get the percentage return that makes IRR appealing and the total-value measure that makes NPV dependable, and when they disagree on ranking, NPV's dollar figure usually deserves more weight, especially for mutually exclusive choices.

IRR also pairs well with simpler measures like the payback period, which gauges how quickly you recover your investment and therefore its risk. Where IRR and NPV measure profitability and value, payback measures speed of recovery. Looking at all of them together gives a fuller, more balanced view than any single metric can. For a simpler mental-math shortcut on how fast money doubles at a given rate, see the rule of 72.

Used as part of this toolkit, IRR is genuinely valuable, just not as a standalone verdict. Keep these common mistakes in mind:

  • Relying on IRR alone: pair it with NPV, which handles scale and unconventional cash flows.
  • Trusting a very high IRR: the reinvestment assumption can overstate the real return.
  • Ignoring scale: a high IRR on a small deal may create less wealth than a lower IRR on a big one.
  • Applying it to unconventional cash flows: these can produce multiple or meaningless IRRs.

Frequently Asked Questions

What is a good IRR?

It depends on the investment's risk and your alternatives. A good IRR is one that comfortably exceeds your hurdle rate: the minimum return you require for that level of risk.

What's the difference between IRR and NPV?

IRR is the annualized percentage return that makes NPV zero; NPV is the dollar value added at a chosen discount rate. NPV is more reliable for ranking deals of different sizes.

How is IRR calculated?

It's the discount rate that makes an investment's NPV equal zero, found through iteration (trial and error) or, in practice, a financial calculator or spreadsheet.

Why can't I rely on IRR alone?

IRR assumes interim cash flows are reinvested at the IRR, can produce multiple values with unconventional cash flows, and ignores scale. Pair it with NPV for a complete picture.

Does a higher IRR always mean a better investment?

Not always. A high IRR on a small investment can create less total wealth than a lower IRR on a much larger one. Check NPV to account for scale.

Citations

  1. 1.Internal Rate of Return (IRR)Investopedia
  2. 2.Present ValueInvestopedia
  3. 3.Internal Rate of Return (IRR)SEC Investor.gov