Irr Approximation
Calculator

Inputs

Internal rate of return (%)
10.557981

Results

Internal rate of return (%)
10.557981
Total undiscounted cash received
50,000
Profit multiple
1.666666

Investing results

Internal rate of return (%)10.557981
Total undiscounted cash received50,000
Profit multiple1.666666

formula-map diagram

Internal rate of return (%)
10.557981
Total undiscounted cash received
50,000
Profit multiple
1.666666

Investing relationship

Formula

IRR solves: C × [1 − (1 + IRR)^−n] ÷ IRR = initial investment

= 10.557981604989

Note

This is not investment advice. It is a simplified model: it applies the displayed standard formula to the figures you entered, ignores taxes, fees, currency effects and credit risk, and assumes cash flows arrive exactly as scheduled. Real markets do not behave that way, and past or projected returns do not guarantee future results. Check the assumptions and consult a licensed adviser before acting on any figure.

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Frequently asked questions

What does internal rate of return (IRR) measure?+

IRR is the discount rate at which the net present value of a series of cash flows equals zero — essentially the effective annualized return an investment generates given its pattern of inflows and outflows over time.

Why is this an approximation rather than an exact IRR calculation?+

True IRR generally requires solving a polynomial equation iteratively (since it usually has no simple closed-form solution), so this calculator uses an approximation method to get close to the answer quickly rather than performing full iterative solving, which introduces a small margin of error.

Can an investment have more than one IRR?+

Yes, if the cash flow pattern changes sign more than once (for example, an initial outflow, then inflows, then another outflow), the underlying equation can mathematically have multiple valid solutions, making IRR ambiguous or misleading in those specific cases.

How should I interpret a negative IRR result?+

A negative IRR indicates the investment is expected to lose money overall relative to the initial outlay — the cash returned over time doesn't even recover the original investment, let alone provide a positive return.

Why might IRR give a misleading picture compared to net present value?+

IRR can favor smaller investments with high percentage returns over larger investments with more total value created, and it implicitly assumes reinvestment of interim cash flows at the IRR itself, which isn't always realistic. Comparing NPV alongside IRR generally gives a fuller picture for decision-making.