Calcverse

Financial

Interest Rate Calculator

Solve for the implied annual interest rate on a loan from the payment amount.

Inputs

Interest Rate Calculator

$
$
years

Result

Annual interest rate

7.42%

Monthly rate
0.6183%
Total paid
$24,000.00
Total interest
$4,000.00

How it's calculated

Solve r in P = PMT · (1 − (1+r)^−n)/r via bisection

Common questions

Why bisection?

The amortization formula has no closed-form solution for r; bisection reliably converges within tens of iterations.

Is this the APR?

It's the nominal annual rate from the payment. APR also includes fees; use the APR calculator when fees are known.

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