WiseCalcs

APR calculator

Enter the loan amount, any upfront fees, the nominal interest rate, and the term in months. The calculator finds the APR that reflects the real cost of borrowing once fees are included.

Use it to compare loans fairly by their APR, not just the headline interest rate.

USD
USD
%
months

APR

10.08%

Monthly payment
$313.36
Total cost of credit
$1,581.09

The result updates as you type. The headline is the APR; the others show the monthly payment and the total cost of credit over the term.

How does it work?

The APR is the rate that equates the net advance (loan minus fees) to the present value of the payments. Fees raise the APR above the nominal interest rate. Found by numerical solving.

APR formula

L−F=∑k=1nP(1+i)kL - F = \sum_{k=1}^{n} \frac{P}{(1 + i)^k}
L
Loan amount.
F
Upfront fees.
P
Monthly payment at the nominal rate.
i
Monthly APR (annualized ×12).
n
Number of monthly payments.

A 10,000 loan with 300 in fees at 8% over 36 months has a monthly payment near 313 and an APR around 10.1% once the fees are included.

Method & sources

The calculator finds the annual percentage rate (APR) that makes the net amount you receive equal to the present value of your monthly payments. Upfront fees reduce what you actually get, so the APR is usually higher than the nominal interest rate. You enter the loan amount, fees, rate, and term yourself — nothing is looked up from a lender.

Sources

Where this method comes from — use these references to understand the formula, assumptions, and limits.

How we calculate

  • The monthly payment is computed on the full loan at the nominal rate.
  • The APR equates the net advance (loan minus fees) to the present value of payments.
  • Found numerically by bisection.
  • Real lender APRs may use different fee and compounding rules.

Rounding

The APR is shown to two decimals and money to two decimals. The calculation uses full precision.

What this calculator does

The nominal interest rate ignores fees, so two loans with the same rate can cost very different amounts. The APR folds upfront fees into a single annual figure, found here by solving for the rate that makes the loan's payments match the net amount you actually receive.

How to use it

  1. Enter the loan amount.
  2. Enter any upfront fees.
  3. Enter the nominal interest rate and the term in months.
  4. Read the APR, monthly payment, and total cost.

A worked example

A 10,000 loan with 300 in fees at 8% over 36 months has a monthly payment near 313. Because the fees reduce the money you actually receive, the APR rises to about 10.1%.

Why APR beats the nominal rate

APR is the standard way to compare credit because it captures fees as well as interest. A loan with a lower rate but high fees can have a higher APR — and cost you more — than one with a higher rate and no fees.

Common mistakes

  • Comparing loans on the nominal rate alone.
  • Leaving out fees, which is exactly what APR captures.
  • Assuming every lender calculates APR identically.

When it's useful

Comparing loan or credit offers, checking the real cost of fees, or understanding why an advertised rate differs from the APR.

FAQ

What is APR?
The annual percentage rate expresses the cost of a loan including fees as a yearly rate, so different offers can be compared on one number.
How is APR different from the interest rate?
The interest rate is just the cost of borrowing the money; the APR adds upfront fees, so it is usually higher.
Why do fees raise the APR?
Fees reduce the money you actually receive while the payments stay the same, so the effective rate on what you got is higher.
Is the monthly payment based on the APR?
No. The payment is based on the loan and nominal rate. The APR is derived from that payment and the fees.
Will my lender's APR match exactly?
It may differ slightly. Lenders can include different fees and use specific rounding or compounding rules.
Can I share a calculation?
Yes. Use Share to copy a link that reopens the calculator with the same figures.

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<iframe src="https://wisecalcs.com/embed/en/apr-calculator" width="100%" height="520" style="border:0" loading="lazy"></iframe> <p>Calculator from <a href="https://wisecalcs.com/en/finance/apr-calculator">WiseCalcs</a></p>