APR Calculator — True Cost of Borrowing
Determine the true annual cost of borrowing by factoring in interest rates, fees, and compounding to compare loan offers accurately
Formula
APR = Rate that makes PV of payments = Amount financed
APR includes interest rate plus fees, expressed as an annual rate for easy comparison across loans.
Worked Examples
Example 1: Mortgage APR
Problem:$300,000 mortgage, 6.5% rate, $6,000 fees, 30 years.
Solution:Monthly payment: $1,896.20 Actual borrowed: $294,000 APR calculation considers you get $294,000 but pay as if $300,000. APR ≈ 6.70%
Result:APR: 6.70% (0.20% higher than rate)
Example 2: Compare Loans
Problem:Loan A: 6%, $3,000 fees. Loan B: 6.25%, no fees. Both $200,000/30yr.
Solution:Loan A APR: 6.14% Loan B APR: 6.25% A is better if keeping 30 years. But if selling in 5 years, B might win (fees not amortized long enough).
Result:Choose based on hold time
Example 3: Auto Loan APR
Problem:$25,000 auto loan, 5.9% rate, $1,250 fees, 5 years.
Solution:Amount financed = $25,000 - $1,250 = $23,750 Monthly payment is based on the full $25,000 note. APR solves for the rate that discounts those payments back to $23,750. Result: APR is higher than the stated rate because fees reduce the cash you actually receive.
Result:APR is about 8.05%, not 5.90%
Frequently Asked Questions
What is APR?
The annual percentage rate expresses the interest rate plus most lender fees as a single yearly figure. It answers the question the note rate cannot: what does this loan actually cost once origination charges, discount points and mortgage insurance are spread across the term? Because every lender must compute APR the same way under the Truth in Lending Act, it is the one number that makes two offers with different fee structures directly comparable.
How is APR different from the interest rate?
The interest rate is only the price of borrowing the principal; it is what the amortization schedule uses to compute your payment. APR restates that payment as a rate on the money you actually received after fees. Borrow $250,000 at 6% for 30 years and the payment is $1,498.88. Add $5,000 in financed fees and you only netted $245,000, so the same payment now represents an APR of roughly 6.19%.
Why is APR higher than the interest rate?
APR spreads the fees over the life of the loan, so the shorter the term, the more each year has to absorb and the wider the gap grows. With $5,000 of fees on a $250,000 loan at 6%, the APR is about 6.19% over 30 years but about 6.32% over 15 years. If a lender charges no fees at all, APR and the note rate are identical.
What counts as a good APR?
It depends entirely on the product and your credit profile, and rates move with the Federal Reserve's policy stance, so any fixed range dates quickly. Secured debt is always cheaper than unsecured: mortgages price lowest, then auto loans, then personal loans, with credit cards highest of all. Rather than chase a benchmark number, collect written offers from three or more lenders in the same week and compare their APRs directly.
Does APR include all closing costs?
No. APR captures finance charges the lender imposes as a condition of credit, such as origination fees, discount points, mortgage insurance premiums and some closing agent fees. It excludes third-party charges you could shop for or would pay in a cash purchase, including title insurance in many cases, the appraisal, home inspection, and prepaid items such as escrowed taxes and insurance. Compare the APR and the itemised closing cost disclosure together.
What is the difference between APR and APY?
APY, the annual percentage yield, includes the effect of compounding and is the figure quoted on deposit accounts. APR is a simple annualised rate that does not compound and is quoted on loans. The two diverge as compounding gets more frequent: a 12% APR compounded monthly works out to (1 + 0.12/12)^12 - 1, which is 12.68% APY. The more often interest is added, the larger the gap.
How do credit card APRs work?
Most card APRs are variable and track the prime rate, so they reset when the Federal Reserve moves. A single card usually carries several: one for purchases, another for balance transfers, and a higher one for cash advances that starts accruing immediately with no grace period. Issuers apply a daily periodic rate, so interest compounds daily and the effective annual cost sits slightly above the quoted APR whenever you carry a balance.
Should I choose the lower rate or the lower APR?
The lower APR wins if you keep the loan to term, because it accounts for the fees you paid up front. If you expect to sell, refinance or pay off early, those fees get spread over far fewer years than the APR assumes, so a higher-rate, low-fee loan can cost less overall. Work out the total cash outlay over your realistic holding period rather than trusting either headline rate.
How can I lower the APR I am offered?
Raise your credit score before you apply, since pricing tiers move in bands and a few points can cross a threshold. Request Loan Estimates from several lenders within a short window so the credit inquiries count as one. Then negotiate the fee side, not just the rate: origination charges are often discretionary. Paying discount points lowers the rate and the APR, but only pays off if you hold the loan long enough to recover the cost.
Background & Theory
APR (Annual Percentage Rate) represents the yearly cost of borrowing including fees, allowing apples-to-apples loan comparison.
APR Calculation:
The rate that makes the present value of all payments equal to the amount financed (after fees).
Components:
- Interest rate (base cost)
- Origination fees
- Points
- Mortgage insurance (some cases)
- Other lender fees
APR vs Interest Rate:
| Loan Type | Rate | APR |
|---|---|---|
| Mortgage | 6.5% | 6.7% |
| Auto | 5.0% | 5.3% |
| Credit Card | 18% | 18% (no fees) |
Credit Card APR Types:
- Purchase APR
- Balance transfer APR
- Cash advance APR (highest)
- Penalty APR
- Introductory APR (0% promos)
APR to Monthly Rate:
Monthly Rate = APR / 12
Daily Rate = APR / 365
Tips:
- Compare APR, not just rate
- Consider your loan term
- Factor in your time horizon
- Read all fee disclosures