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APR calculator from cash flows

Enter every cash flow with its date: money received as positive and repayments or costs as negative.

One line per cash flow: YYYY-MM-DD;amount. Funds received are positive; repayments and costs are negative.

Estimated APR: — %

Fill in the fields above — the result is computed on this page.

Funds received
—
Paid
—
Cost
—
Number of cash flows
—

Sources and adopted values

Calculation schedule

Date Amount
Fill in the fields above — the result is computed on this page.
How do I use this page?
  1. Fill in the fields in the form above — the result recomputes at once, with no page reload.
  2. Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
  3. The formula we use is shown lower on this page — you can check the arithmetic yourself.
  4. To compute the same for another game or variant, change it in the select field — prices and pools update automatically.

What this page does not do: The result depends entirely on the entered dates and amounts and is an estimate, not a lender's legally binding disclosure.

Further reading

Theory — what is the APR (RRSO)?

The APR is the interest rate at which the present value of all loan disbursements equals the present value of repayments and mandatory costs. The calculator solves this equation numerically from the cash flows you enter, where a positive amount is money received and a negative one is a repayment or cost. It accounts for the actual number of days between dates, so the calculation mirrors the method used by financial institutions. The APR can exceed the nominal rate, since it reflects mandatory costs and their timing.

Frequently asked questions

What does the apr calculator from cash flows include?
The calculator finds the annual rate that makes the present value of all dated cash flows equal to zero. Complete cash flows are essential for a meaningful result.
Is this result exact?
The result depends entirely on the entered dates and amounts and is an estimate, not a lender's legally binding disclosure.
Which values should I enter?
Use current values from your agreement, offer, payroll documents or official records. Do not replace unknown costs with zero unless zero is correct.
Can I use the result to compare scenarios?
Yes. Keep the same assumptions and change one input at a time. The result remains an estimate rather than an offer or official settlement.

See also

← All calculators

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