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APR Calculator
The quoted rate is not the whole cost — fees and points hide in the fine print. This APR calculator folds them in to reveal the loan's true APR, then compares two offers side by side to show which is actually cheaper.
See how this works on a $25,000 loan — 3 real examples
Loan B
True APR
0.00%
Note interest rate
0.00%
Amount financed
$0
Monthly payment
$0
Total finance charge
$0
Total interest
$0
Fee impact
$0
Where every dollar you repay goes
Lower true APR
—
0.00%
true APR
- Note rate
- 0.00%
- Monthly payment
- $0
- Finance charge
- $0
0.00%
true APR
- Note rate
- 0.00%
- Monthly payment
- $0
- Finance charge
- $0
Payment scheduleMonth-by-month amortization
How we solve for your true APR
The note rate only covers interest on the balance. APR is bigger: it’s the single annualized rate that makes your scheduled payments equal the cash you actually received after fees. We solve it numerically:
amount financed = loan amount − (fees + points)
M = level monthly payment on the full loan at the note rate
solve i: amount financed = M × (1 − (1 + i)−n) / i
APR = i × 12 × 100 n = years × 12
The key move is that fees and points don’t change your payment — you still repay the full note balance — but they shrink the money that landed in your account, so the rate that reconciles the two (the APR) sits above the note rate. One point equals 1% of the loan amount and is added straight to your fees. With no fees, APR equals the note rate exactly. The finance charge is total payments minus the amount financed, which is simply your interest plus those fees. Assumptions: the rate is fixed for the whole term, payments are monthly and level, and APR — like the figure lenders disclose — assumes you hold the loan to maturity; paying off early concentrates the fees and raises your effective cost above the number shown here. This tool does no tax math.
One loan, three readings of the same rate
The same $25,000 at a 7.50% note rate. The fee never touches the payment — it changes what the rate really was.
The clean quote: no fees at all
true APR7.50%
- With nothing deducted, the full $25,000 arrives and the APR matches the sticker: 7.50%.
- The payment runs $500.95 a month for five years.
- Interest is the only cost — $5,057 across sixty payments.
When no fee sits between you and the money, the advertised rate is the whole story.
Load this example (opens in a new tab)The fine print: a $600 fee
true APR8.53%
- The payment does not move — still $500.95, because fees never change the note.
- What moves is the cash received: $24,400 lands instead of $25,000.
- Repaying the full loan out of less money puts the true rate at 8.53%.
A 7.50% quote with $600 in fees is an 8.53% loan wearing a smaller number.
Load this example (opens in a new tab)The same $600 on a shorter clock
true APR9.92%
- Two years instead of five lifts the payment to $1,124.99 a month.
- Total interest drops to about $2,000, the cheapest borrowing of the three.
- The APR still climbs to 9.92% — the fee earns out over 24 payments, not 60.
A flat fee spread over fewer months costs more per year, even as the loan itself costs less.
Load this example (opens in a new tab)Illustrations only, not financial advice. Your own rate, taxes and insurance will differ — check with a qualified financial advisor before acting on any of this.
APR vs interest rate, in plain English
- APR is the number that shops honestly. The interest rate prices the balance; APR rolls in fees and points so two offers become truly comparable — that’s why it exists.
- Fees always push APR above the rate. You repay the full note but received less cash, so every fee dollar shows up as extra APR — $600 on a 5-year $25,000 loan turns 7.50% into about 8.53%.
- Points are just fees by another name. One point is 1% of the loan; a “low rate” quote with two points can lose to a slightly higher rate with none.
- The lower rate isn’t automatically cheaper. Compare mode runs both offers through the same solver and names the one with the lower true APR, plus the finance charges you’d save.
- APR assumes you go the distance. Pay off early and front-loaded fees hit harder, so a low-rate, high-fee loan is riskier the sooner you expect to repay it.
Related calculators
Frequently asked questions
What’s the difference between APR and the interest rate?
The interest rate (the note rate) is what you’re charged on the outstanding balance. APR — the annual percentage rate — is broader: it folds prepaid fees, points and origination charges into a single annualized cost, so it’s the number that tells you what the loan really costs. A $25,000 loan at a 7.50% note rate with $600 in fees carries a true APR closer to 8.53% — the rate alone hides that gap.
How do fees and points affect the APR?
Fees and points reduce the cash you actually receive (your amount financed) but you still repay the full note balance, so every fee dollar raises the APR above the note rate. One point equals 1% of the loan amount. Because the effect is spread over the term, the same $600 fee lifts APR more on a short loan than on a long one, and more on a small loan than a large one.
What is a “real” or “true” APR?
A true APR is the single rate that makes the loan’s payment stream exactly equal the money you walked away with after fees. This calculator solves for it numerically — finding the periodic rate i where amount financed = payment × (1 − (1 + i)⁻ⁿ) ÷ i, then annualizing it — rather than quoting the advertised note rate. It’s the same idea behind the APR lenders must disclose under Truth in Lending.
Is a loan with a lower interest rate always cheaper?
No — that’s exactly the trap this tool exposes. A 6.50% loan with two points and a $200 fee can end up costing more or less than a 7.50% loan with a small fee, depending on the amount and term. Switch to compare mode above to run both offers through the same solver; the calculator names the one with the lower true APR and shows how much you save in finance charges.
What’s the difference between APR and APY?
APR is a simple annualized borrowing cost that doesn’t compound the periodic rate, while APY (annual percentage yield) does compound it — APY is normally used for what you earn on savings. For the same periodic rate, APY is slightly higher than APR. This calculator reports APR because it’s the standard, apples-to-apples number for comparing loan offers.
How does paying off a loan early change my effective APR?
APR assumes you keep the loan for its full term. Because fees are paid up front but earn out over every scheduled payment, paying off early concentrates those fees into fewer months and pushes your effective cost above the quoted APR. The shorter you actually hold the loan, the more a high-fee, low-rate offer hurts — a limitation worth remembering when you compare offers here.
Disclaimer: these calculators are educational tools, not financial advice. They model your inputs with published formulas, but they cannot know your full situation — for decisions with real stakes, talk to a qualified professional. Formulas and defaults last reviewed .