Find the internal rate of return for an initial investment followed by equally spaced, nonnegative cash receipts, including negative-return cases.
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Initial investment is negative. Separate later receipts with spaces, commas or newlines; do not use commas inside numbers.
Internal rate of return per year
8.8963%
Supports conventional cash flows with one initial outflow. Unequal dates require XIRR; repeated sign changes can produce multiple or missing IRRs and are rejected.
Find r such that the sum of cash flow at period t divided by (1 + r)^t is zero.
The initial outlay occurs at time zero. Later receipts are equally spaced at period ends.
IRR is the periodic rate that makes net present value zero: sum cash flow at period t divided by (1+r)^t. The initial investment is at time zero. This calculator restricts the series to one initial outflow and later nonnegative receipts so the rate is unique.
An initial outlay of $100 followed by a $110 receipt one year later has a 10% IRR. If the receipt is $50 instead, the one-year IRR is −50%.
Multiple sign changes can produce multiple or no IRRs. This tool deliberately supports the conventional single-outflow case rather than returning one arbitrary root. Unequal calendar dates require a dated cash-flow model.
Last updated . Results are estimates for informational purposes only.