APR Calculator
Two loans, same rate, different fees — very different costs. Find the true APR of any loan offer once the fees are counted.
How APR is computed
APR answers: what rate would produce these same payments if the fees were baked in? Formally, it's the rate that makes the present value of your payments equal the amount you actually received (loan minus fees). There's no closed-form solution — it's solved numerically, which is what this calculator does.
$200,000 mortgage at 6.5% for 30 years with $6,000 in fees:
Payment: $1,264.14/mo on the full $200,000 — but you effectively received $194,000.
Solving for the rate on $194,000 gives an APR of about 6.78%.
Using APR to compare offers
Lenders must disclose APR under the Truth in Lending Act precisely so you can compare across different fee structures. When comparing: hold the term constant (a 15-year APR can't be compared to a 30-year), watch for "no-fee" loans that hide costs in a higher rate (the APR reveals it), and if you expect to sell or refinance early, weight upfront fees more heavily than the APR does — the refinance calculator's break-even logic applies to points, too. Model any offer's payment with the loan calculator or mortgage calculator.
Same $200,000 loan at 6.5% with the same $6,000 in fees, but a 15-year term instead of 30:
Payment: about $1,741.90/mo on the full $200,000, but only $194,000 was effectively received.
Solving for the rate on $194,000 over 180 months gives an APR of about 6.98% — a premium of 0.48 points over the quoted 6.5%, nearly double the 0.28-point premium the identical dollar fee produced on the 30-year version above.
APR premium from the same fee, by loan term
| Loan term | Effective APR | Premium over 6.5% rate |
|---|---|---|
| 10 years | ≈7.19% | +0.69 pts |
| 15 years | ≈6.98% | +0.48 pts |
| 30 years | ≈6.78% | +0.28 pts |
All three rows use the identical $200,000 loan, 6.5% rate, and $6,000 fee — only the term changes. The shorter the term, the fewer payments there are to spread the fee across, so the same dollar cost distorts the APR far more on a 10-year loan than a 30-year one.
Common APR mistakes
- Assuming a fee's APR impact is term-independent. As the table above shows, the same $6,000 fee adds nearly 2.5× as much to the APR on a 10-year loan as it does on a 30-year loan.
- Comparing APRs across different loan terms. A 15-year loan's APR isn't directly comparable to a 30-year loan's APR, even with identical dollar fees, because of exactly this term sensitivity — compare same-term offers to each other.
- Trusting a "no-cost" loan's headline rate at face value. Lenders that waive fees typically build that cost into a higher rate instead — the APR is what actually reveals whether "no-cost" really is cheaper.
Frequently asked questions
What's the difference between interest rate and APR?
Rate prices the borrowing; APR adds mandatory fees, making it the true comparison number.
Why is APR higher than the interest rate?
Fees shrink what you receive while payments stay full-size. $200,000 at 6.5% with $6,000 fees ≈ 6.78% APR.
Is a lower APR always the better loan?
If you keep the loan to term, usually. Exiting early favors low-fee loans even at slightly higher rates.
Does the same fee affect a short-term loan more?
Yes — a $6,000 fee on a $200,000, 6.5% loan adds about 0.28 pts to APR over 30 years, but about 0.69 pts over 10 years, since fewer payments absorb the same dollar cost.
Can I compare APRs across different loan terms?
Not reliably — the same fee produces a much bigger APR premium on a shorter term, so a 15-year and 30-year APR aren't directly comparable even with identical fees.
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Note: Computed by numerical solution on a fixed-rate amortizing loan; official APR disclosures may classify fees slightly differently. Not financial advice. Last reviewed: September 2026.