Internal Rate of Return (IRR) Calculator

Estimate the annual return rate that makes an investment's net present value equal zero. This page also keeps the formula, examples, FAQs, and references close by so you can check the result with confidence.

What This Internal Rate of Return (IRR) Calculator Helps You Do

IRR is the discount rate that makes the present value of future cash flows equal the initial investment. Review the formula and examples below if you want to see how the result is derived.

This page is meant to give you a fast answer, but it also helps you double-check the math before you make a decision. Start with the inputs that you already know, run the calculation, and then compare the output with the formula, examples, and FAQs below so you can see whether the answer fits the situation you are modeling.

If the result looks off, the usual causes are a unit mismatch, a missing decimal, the wrong scenario, or a value that needs to be entered as a rate instead of a total. The notes on this page are designed to make those checks easy without forcing you to leave the calculator and search for context elsewhere.

  • Use the calculator first for a quick estimate.
  • Use the formula to understand how the result is built.
  • Use the examples to compare common use cases.
  • Use the references when the answer depends on a standard or assumption.

Common Checks

A quick result is useful, but the best result is one that still makes sense when you look at it a second time. If you are comparing scenarios, try changing one input at a time so you can see which variable has the biggest impact on the final answer. That makes it much easier to spot whether the calculation matches your expectations.

It also helps to keep the context of the problem in mind. A calculator can tell you the math, but you still need to decide whether the input represents a total, a rate, an average, or a category-specific assumption. When in doubt, start with a simple example from the page and scale up from there.

  • Check that every unit matches the rest of the problem.
  • Keep rates, totals, and averages separate.
  • Adjust one variable at a time when testing scenarios.
  • Use the smallest realistic input first, then scale upward.

Scenario Planning

This calculator is especially useful when you want a quick answer before you commit time, money, or effort. Try one baseline input set, then change a single number and compare the result so you can see how sensitive the answer is to that variable.

That makes the page useful for more than just arithmetic. It becomes a small decision aid that helps you compare options, test assumptions, and explain the final number with confidence when you need to share it with someone else.

$
$
$
$
$
$
$

Result

--

Quick Answer: IRR is the discount rate that makes the present value of future cash flows equal the initial investment. Review the formula and examples below if you want to see how the result is derived.

How to Calculate Internal Rate of Return (IRR) Calculator

  1. Enter the initial investment: Add the money invested at time zero.
  2. Enter yearly cash flows: Add the yearly inflows or outflows for the investment.
  3. Read the IRR: The calculator solves for the discount rate that sets NPV to zero.

Internal Rate of Return (IRR) Calculator Formula

0 = -C0 + C1/(1 + IRR) + C2/(1 + IRR)^2 + ... + Cn/(1 + IRR)^n
Variable Meaning Unit
C0 Initial investment $
Ci Yearly cash flow $
n Number of years years

Worked Examples

USA - Simple project
  • Initial investment: $6,000
  • Year 1 cash flow: $2,000
  • Year 2 cash flow: $2,000
  • Year 3 cash flow: $2,000
  • Year 4 cash flow: $2,000
  • Year 5 cash flow: $2,000
  • Terminal value: $1,000

Result: 22.22%

The project returns more than 20% per year under the chosen cash-flow pattern.

UK - Lower return
  • Initial investment: £10,000
  • Year 1 cash flow: £2,500
  • Year 2 cash flow: £2,500
  • Year 3 cash flow: £2,500
  • Year 4 cash flow: £2,500
  • Terminal value: £0

Result: about 0%

The investment barely earns more than its cost of capital.

EU - Strong return
  • Initial investment: €5,000
  • Year 1 cash flow: €1,800
  • Year 2 cash flow: €1,800
  • Year 3 cash flow: €1,800
  • Terminal value: €1,200

Result: high positive IRR

A strong IRR indicates the investment recovers its cost quickly.

How to Interpret Your Results

Range Meaning Action
Low IRR The project may not meet your hurdle rate Compare the result with your required return.
Typical IRR The project roughly matches a normal investment hurdle Compare against alternatives with similar risk.
High IRR The project produces strong returns relative to capital Check that the assumptions are realistic.

Frequently Asked Questions

IRR is the discount rate that makes the net present value of a project equal zero.

Yes. A negative IRR means the investment loses value under the selected cash flows.

There is no direct closed-form IRR formula for general cash-flow patterns.

No. ROI measures total gain versus cost, while IRR annualizes the return over time.
Planning note: IRR is sensitive to cash-flow timing and assumptions. Use it with a broader investment review.

References

Last reviewed: March 2026