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Return measurement

Internal Rate of Return (IRR)

The discount rate that makes a cash-flow series have zero net present value.

01 / Definition

What Internal Rate of Return Means

IRR is a money-weighted return. Standard IRR assumes cash flows occur at equal intervals and usually requires a numerical solution.

02 / Calculation

Internal Rate of Return Formula

0 = Σₜ CFₜ ÷ (1 + IRR)ᵗ
03 / Worked Example

How to Read the Result

An initial −$1,000 followed by $400 at each of 3 year-ends has an IRR of about 9.7%.

04 / Boundaries

Limitations

  • Multiple sign changes can create multiple roots.
  • The reinvestment assumption may be unrealistic.
  • IRR can rank projects differently from net present value.
05 / Questions

Common Questions

When should XIRR be used?

Use XIRR when cash flows occur on actual irregular dates.