Finance

APR Calculator

True annual percentage rate including fees.

Result
7.058 %
Annual Percentage Rate (APR)
Monthly payment
$386.66
Net disbursed
$19,500.00
Download results

Quick summary

Compute the Annual Percentage Rate (APR) of a loan including upfront fees, so you can compare loan offers fairly.

How to calculate apr manually

  1. Solves for the monthly rate x such that Net = M · (1 − (1+x)^−n)/x, then APR = x · 12.
  2. M is the payment from the nominal rate; Net = principal − fees.

Compute the Annual Percentage Rate (APR) of a loan including upfront fees, so you can compare loan offers fairly.

How it works

Solves for the monthly rate x such that Net = M · (1 − (1+x)^−n)/x, then APR = x · 12. M is the payment from the nominal rate; Net = principal − fees.

Example

$20,000 loan at 6% over 5 years with $500 fees → APR ≈ 6.61%.

Insight

APR vs APY: same rate, different math

How compounding frequency turns a stated APR into an effective APY.

Stated APRMonthly APYDaily APY
5 %5.116 %5.127 %
8 %8.300 %8.328 %
12 %12.683 %12.747 %
18 % (CC)19.562 %19.716 %
24 % (CC penalty)26.824 %27.115 %

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