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Internal Rate of Return

Solve the return of a conventional investment cash-flow sequence.

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Local calculations. Results are estimates, not professional advice.

IRR per period

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Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed.

Formula

Find a supported r satisfying Σ Cₜ/(1+r)^t = 0. Cₜ is the equally spaced cash flow at period t, starting at time zero. r is the return per cash-flow period; a cash-flow series can have no root or multiple roots.

Solve the return of a conventional investment cash-flow sequence.

Worked example

Cash flows at equally spaced period ends, starting at time 0
-1000, 400, 400, 400
IRR per period
9.70102574033 %

Scope and limitations

Educational estimate using your assumptions; no live rates, tax rules or investment recommendations. Returns can be negative and are not guaranteed.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 041c803750f7 · Example checked:

Methodology

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