Number APR Calculator
The interest rate is what the loan earns on the full amount. The APR is what it costs you against the cash you actually receive — fees shrink that cash, so the APR is always the more honest number. Enter a loan and its fees and see both.
Fees means everything taken out before you see the money — origination, application, broker and documentation fees. If a fee is financed instead (added to the balance), use the Personal Loan Calculator, which models that case.
How it works
The payment is computed on the full loan amount at the stated rate. The true APR then solves backwards: it is the rate at which those payments would be worth exactly the cash you receive (amount minus upfront fees). Smaller received cash against the same payments means a higher true rate — that gap is the fee’s real price tag.
Formula & worked example
Formula: The payment is computed on the full loan amount at the stated rate: payment = P × r ÷ (1 − (1 + r)^−n), r = rate ÷ 12. The true APR then solves backwards — the rate at which those same payments are worth exactly the cash you receive (amount − upfront fees): payment × (1 − (1 + APR/12)^−n) ÷ (APR/12) = cash received.
Worked example: Borrow $10,000 at 10% for 36 months with $500 of fees: the payment is $322.67 on the full amount, but you receive only $9,500, so the true APR is 13.56%. Total cost: $11,616.19 of payments for $9,500 in hand — $2,116.19 of interest and fees. With zero fees the APR is exactly 10.00%.
When to use this
- A lender quotes a low rate but the paperwork is thick with origination and documentation fees, and you want the rate that counts those fees.
- Two loan offers have different rates and different fees, so the headline rates cannot be compared directly.
- A dealer or online lender advertises one rate and discloses a higher APR, and you want to see which fee creates the gap.
- You are checking whether paying a fee to buy a lower rate actually leaves you ahead.
How to use it, step by step
- Enter the full loan amount you are signing for, not the cash you expect to receive.
- Enter the stated interest rate from the offer.
- Add every upfront fee taken out before you see the money — origination, application, broker and documentation fees combined.
- Set the term in months.
- Read the true APR against the stated rate, then check the total-of-payments line before comparing offers.
What the inputs mean
| Input | What it is | Typical values |
|---|---|---|
| Loan amount | The full amount on the contract, before fees come off | Any size — the fee effect is largest on small loans |
| Stated interest rate | The rate the lender advertises and charges on the full amount | Personal loans often 6–36%; prime borrowers at the low end |
| Fees paid upfront | Everything skimmed off the top before the cash reaches you | $0 on clean offers; 1–10% of the loan on fee-heavy ones |
| Term (months) | How long the payments run | 12–84 months for most consumer loans |
Another worked example
Take a $25,000 loan at a stated 7.5% for 60 months with $750 of upfront fees. The payment is $500.95 a month on the full $25,000, but you only receive $24,250.00, so the true APR is 8.79% — the fee alone adds 1.29 points. Across the loan you hand over $30,056.92 in payments for that $24,250.00 in hand, which means $5,806.92 of interest and fees combined.
Frequently asked questions
What does a $500 fee do to a $10,000 loan at 10%?
The payment is $322.67 a month on the full $10,000 — but you only receive $9,500, so the true APR is 13.56%, not 10%. The fee also means the loan’s total cost is $11,616.19 of payments for $9,500 of cash: $2,116.19 of interest and fees combined.
Why is APR higher than the interest rate?
Because the rate is charged on the full amount while fees are skimmed off the top. You pay interest as if you borrowed $10,000 but only got $9,500 — the APR is the rate that tells the truth about that deal. With zero fees, the two numbers are identical.
Which number should I compare when shopping loans?
The APR — it already prices in most fees, so two loans with different rates and different fees become comparable. Then check the total cost line too: a longer term can show a friendlier APR while costing far more overall.
Are mortgage APRs computed the same way?
The principle is identical, but mortgage disclosures include a regulated list of closing costs, and the payment also retires the full amount. For home loans, compare the APR on the official Loan Estimate documents — and model the payment itself with the Mortgage Calculator.
🏠 A line of credit instead?
The HELOC Calculator prices the draw and repayment phases of a home equity line — the variable-rate alternative.
Do I pay the upfront fees in cash, or are they taken out of the loan?
This calculator models the skimmed-off-the-top version: you sign for the full amount, the fees come out, and you receive what is left — which is exactly why the true APR rises. If your lender instead adds the fee to the balance (finances it), the Personal Loan Calculator models that version, because you then pay interest on the fee itself.
Why does the same fee hurt more on a short loan?
The fee is the same dollars, but a short term gives it fewer payments to hide in, so the rate it adds is bigger. On a 60-month loan, $750 of fees on $25,000 lifted the APR from 7.5% to 8.79%. Compress a fee like that into 24 months and the APR jump is far steeper — short loans with upfront fees are where the stated rate lies the most.