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Interest Rate Calculator

Find the interest rate on a loan from the amount borrowed, the term and the monthly payment.

Change the values and press Calculate to work out your own figures.

Enter the loan, term and monthly payment.

About loan amountWhat you borrow.
About monthly paymentPaid each month.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
About term, yearsYears of payments.
About and months (optional)Extra months.
Result
Interest rate
5.065%
Total of payments
$34,560.00
Total interest
$2,560.00
APY
5.184%

The loan's rate is 5.065%.

Show the working
  1. the rate r where payment = amount × (r/12) ÷ (1 − (1 + r/12)^−n)

How to use it

Enter the loan, term and monthly payment.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

the rate r where payment = amount × (r/12) ÷ (1 − (1 + r/12)^−n)

Questions

What rate is a $32,000 loan paid $960 a month for 3 years?

5.065%.

Formulas

the rate r where payment = amount × (r/12) ÷ (1 − (1 + r/12)^−n)

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed