What the apr calculator tells you
APR (annual percentage rate) is the true annual cost of a loan expressed as a percentage, including not just the interest rate but also points and lender fees spread across the life of the loan. It exists so borrowers can compare offers on an apples-to-apples basis.
The note rate (or interest rate) only describes the interest charged on the balance. APR is almost always higher because it folds in the upfront costs of getting the loan, which effectively means you borrow the full amount but receive less after fees.
When two lenders quote the same rate, the one with the lower APR is charging less in fees. Comparing APR helps you cut through teaser rates and discount points to find the genuinely cheaper loan.
How it works
- Compute the monthly payment at the note rate on the full loan amount: M = L·r / (1 − (1 + r)^−n).
- Subtract upfront points and lender fees from the loan to get the "amount financed" — the cash you effectively receive after costs.
- Solve for the monthly rate i that makes the payment exactly repay the smaller amount financed: amount financed = payment × (1 − (1 + i)^−n) / i.
- Multiply that monthly rate by 12 to express it annually: APR = i × 12.
- Because you repay the same payment on less money received, the solved rate (APR) comes out higher than the note rate — and the gap reflects how much the fees really cost you.
Frequently asked questions
What is the difference between APR and interest rate?
The interest rate (note rate) is the cost of borrowing the principal, used to calculate your monthly payment. APR is broader — it includes the interest rate plus points and lender fees, expressed as a yearly percentage, to reflect the loan’s true annual cost. Two loans can share an interest rate but have different APRs because of different fees.
Why is my APR higher than the interest rate?
APR is higher because it accounts for upfront costs like points and lender fees that the bare interest rate ignores. You pay those fees but receive less usable cash, so the effective cost of the money you actually got is higher. For example, a 7% loan with 2 points and fees might carry an APR around 7.3%.
What does APR include?
For a mortgage, APR typically includes the interest rate, discount points, origination and underwriting fees, and certain other lender charges. It generally excludes third-party costs you would pay regardless of lender, such as title insurance, appraisal, and recording fees. Because included items vary slightly, compare APRs from the same loan type and term.
Is a lower APR always better?
A lower APR usually signals a cheaper loan, but only when you compare the same loan term and you keep the loan long term. APR assumes you hold the loan for its full life; if you plan to sell or refinance soon, a loan with a lower rate but higher fees (and higher APR) might actually cost you less. Match APR comparisons to how long you will keep the loan.
How are points and fees factored into APR?
Points and lender fees are treated as part of the cost of borrowing: they reduce the net amount you receive while you still repay the full loan payment. The APR formula solves for the rate that equates that smaller amount financed to your payment stream, so heavier fees push the APR further above the note rate. This is exactly why APR is a fairer comparison number.
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