APR Calculator
Compare a quoted rate with fees and see the effective borrowing rate.
How to use this APR calculator
- Enter loan amount
Type the amount financed.
- Enter interest rate
Enter the quoted annual interest rate.
- Add fees
Enter upfront finance charges such as origination fees or points.
- Choose loan term
Enter the loan term in years.
- Review effective APR
Review the estimated effective APR and total finance cost.
How this APR calculator works
This APR calculator estimates the effective annual percentage rate of a loan by spreading upfront fees across the monthly payments and recalculating the rate that would produce the same payment on a reduced principal. APR is commonly used as a standardized way to compare loans that may have different fee structures, making it one of the most important numbers in any loan comparison. This calculator gives you a quick planning estimate before you receive a lender's official APR disclosure.
APR is the rate r* that satisfies: (P – F) = M × [(1 – (1 + r*/12)^(–n)) / (r*/12)] For a $200,000 loan at a 6 % quoted rate over 30 years with $4,000 in prepaid lender fees: the monthly payment based on 6 % is $1,199.10. The APR is then the rate that makes $1,199.10 the correct payment for a $196,000 net-proceeds loan over 360 months — which works out to approximately 6.18 %.
For the same $200,000 loan at 6 % over 30 years, increasing upfront fees from $4,000 to $8,000 raises the effective APR noticeably even though the monthly payment stays the same. The wider gap between the quoted rate and APR reflects the larger fee burden spread across the same payment stream.
Shortening the term from 30 years to 15 years on a $200,000 loan with $4,000 in fees produces a higher APR than the longer term, because the same fixed fees are amortized over fewer payments. This is why APR comparisons are most meaningful between loans with the same term length.
- ✓ Fees are treated as reducing the net proceeds of the loan while the payment stays the same, which raises the effective rate.
- ✓ The model assumes the loan runs to full term — if you pay off early, the effective cost of fees is higher because they are spread over fewer months.
- ✓ Only lender charges that function like prepaid finance charges belong in this comparison; taxes, insurance, and other cash-transaction costs should generally be excluded.
- ✓ The result is solved numerically with an iterative search; official lender APR calculations may use slightly different conventions.
- APR is most useful for comparing two loan offers with different rate-and-fee combinations — the lower APR generally represents the cheaper total cost if held to term.
- If you plan to refinance or sell within a few years, the upfront fees may matter more than the APR suggests because you don't benefit from the full amortization period.
- Discount points (paying fees to buy down the rate) create an interesting APR tradeoff — the quoted rate drops but fees rise, so APR helps you judge whether the buydown is worthwhile.
- APR calculation methodology references
- Consumer loan-disclosure guidance for annual percentage rate comparisons
What is APR?
Annual percentage rate is a standardized measure of borrowing cost that folds upfront fees into the interest rate so borrowers can compare loans on an equal footing. While the quoted interest rate tells you the annual cost of the principal itself, it ignores origination fees, discount points, and other prepaid finance charges that effectively raise the cost of the loan. APR corrects for this by answering the question: what single rate, applied to the net proceeds after fees, would produce the same monthly payment? The result is always equal to or higher than the quoted rate because any nonzero fee increases the effective cost. Many lenders and regulators require APR-style disclosure alongside the quoted rate, making it one of the most important comparison tools in consumer lending. However, APR assumes you hold the loan to full term — if you pay off early, fees are spread over fewer months, and the true effective cost is higher than the disclosed APR.
When APR comparisons can be misleading
APR is an excellent comparison metric when two loans have the same term and you expect to hold each to maturity, but it has limitations in other scenarios. If you plan to refinance or sell before the loan term ends, the effective cost of upfront fees is higher than APR implies because those fees are amortized over fewer actual payments. A loan with a slightly higher rate but lower fees may cost less in practice over a short holding period, even though its APR is higher on paper. APR also does not capture differences in payment flexibility, prepayment penalties, or rate lock terms. For adjustable-rate products, the disclosed APR is based on the initial rate and an assumed adjustment path, which may not match reality. The most reliable use of APR is comparing fixed-rate loans with the same term and similar structures. Outside that narrow scenario, supplement the APR comparison with a total-cost analysis over your expected holding period.
APR calculator FAQs
What is the difference between the interest rate and APR?
The interest rate is the annual cost of borrowing the principal. APR folds in upfront fees to show the true cost of the loan expressed as a yearly rate, making it easier to compare offers.
Why is APR always higher than the quoted rate?
Because APR includes the effect of fees. If there are no fees, the APR and quoted rate will be essentially the same.
Is a lower APR always better?
Generally yes for loans held to term, but if you plan to pay off early, a higher-APR loan with lower upfront fees may cost less in practice.
Does this include all lender fees?
Only the prepaid lender charges you enter. For a planning comparison, include origination fees, points, and similar finance-charge-style costs, but exclude items that would apply even in a comparable cash transaction.