IRR calculator

Find the discount rate that makes net present value zero for an initial investment followed by nonnegative returns.

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Answer

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IRR solves Σ cash flow at period t ÷ (1 + IRR)^t = 0. A bounded bisection solves the unique conventional-cash-flow root.

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Precision and calculation record

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

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Formula and assumptions

Supports conventional cash flows only, which have a unique root. Multiple sign changes are rejected rather than returning one arbitrary IRR. Periods must be equal; the result is per period, not automatically annual. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

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Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Using IRR calculator

IRR solves Σ cash flow at period t ÷ (1 + IRR)^t = 0. A bounded bisection solves the unique conventional-cash-flow root.

Supports conventional cash flows only, which have a unique root. Multiple sign changes are rejected rather than returning one arbitrary IRR. Periods must be equal; the result is per period, not automatically annual. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

Next: Net present value calculator

A worked example

Example inputs: cash flows, starting with investment = -100, 110. Internal rate of return per period (%) = 10.

Before you use the result

Supports conventional cash flows only, which have a unique root. Multiple sign changes are rejected rather than returning one arbitrary IRR. Periods must be equal; the result is per period, not automatically annual. Fixed assumptions only: no taxes, fees, changing returns, guarantees or product eligibility. Amounts share one currency.

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ToolOctopus. “IRR calculator.” Updated 2026-09-26. https://tooloctopus.com/irr-calculator.

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