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APR Calculator

The advertised interest rate is not the cost of borrowing. Two lenders can quote 7% and 7% while one charges $0 in fees and the other charges 2 points and a $995 origination fee. The annual percentage rate (APR) folds those costs into a single number, which is exactly why regulators require it on loan disclosures.

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Origination fee, points, application and underwriting fees.

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Ongoing charges added to each payment, such as required insurance products.

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Annual percentage rate (APR)

9.744%

Stated rate 8% plus $800 of upfront fees over 60 payments.

Monthly payment
$405.53
Cash received
$19,200
Total interest
$4,331.67
Total cost of credit
$5,131.67

Where the extra cost comes from

APR uplift over stated rate
+174 basis points
Fees as % of the loan
4%
Interest + fees per $100 borrowed
$25.66
Total repaid
$25,131.67

Offer summary

ItemAmount
Loan amount financed$20,000
Stated interest rate8%
Monthly payment (principal & interest)$405.53
Upfront fees$800.00
Monthly fees$0.00
Total interest over the term$4,331.67
Effective APR9.744%
Total cost of credit$5,131.67

Total cost of credit = all interest plus every fee, which is the number to compare against another offer of the same length.

Fees add 174 basis points to this loan: you are paying 9.744% rather than the advertised 8%. Ask whether the fees can be reduced or whether a higher-rate, lower-fee offer costs less overall.

This calculator takes the loan amount, the stated rate, the term and the fees you pay up front, then solves for the rate that equates the payments with the cash you actually receive.

How this apr calculator works

What APR measures

The APR is the discount rate that makes the present value of every scheduled payment equal to the amount actually advanced to the borrower — the loan amount minus fees paid up front.

Because the same payments are discounted against a smaller cash amount, the solved rate is higher than the stated rate. The larger the upfront fee, the wider the gap.

Solving for the rate

There is no algebraic solution for the rate, so the calculator solves it numerically by bisection: it narrows an interest range until the present value of the payments matches the net amount received, to within a fraction of a cent.

This is the same approach used by spreadsheet RATE functions and lending software, which is why the result matches the APR printed on a Regulation Z disclosure.

What belongs in the fee box

Include origination fees, discount points, application and underwriting fees, and any other charge that exists only because you took the loan. Exclude third-party costs you would pay in cash regardless, such as a property appraisal or title insurance, depending on how your lender discloses them — the exact treatment is what makes disclosed APRs differ slightly between lenders.

Worked examples

Each example below was run through the calculator on this page when the site was built, so the numbers match what you see when you enter the same inputs.

$20,000 loan with $800 of fees

Loan amount
$20,000.00
Stated interest rate
8%
Loan term
5 years
Upfront fees paid at closing
$800.00
Extra monthly fees
$0.00

Annual percentage rate (APR)

9.744%

Stated rate 8% plus $800 of upfront fees over 60 payments.

Monthly payment
$405.53
Cash received
$19,200
Total interest
$4,331.67
Total cost of credit
$5,131.67

A modest fee still pushes the true cost noticeably above the quoted 8%.

Points on a mortgage-style loan

Loan amount
$300,000.00
Stated interest rate
6.25%
Loan term
30 years
Upfront fees paid at closing
$6,000.00
Extra monthly fees
$0.00

Annual percentage rate (APR)

6.442%

Stated rate 6.25% plus $6,000 of upfront fees over 360 payments.

Monthly payment
$1,847.15
Cash received
$294,000
Total interest
$364,974.58
Total cost of credit
$370,974.58

Two points on a long loan look small per month but show up clearly in the APR.

Short loan with heavy fees

Loan amount
$8,000.00
Stated interest rate
12%
Loan term
2 years
Upfront fees paid at closing
$500.00
Extra monthly fees
$10.00

Annual percentage rate (APR)

18.594%

Stated rate 12% plus $500 of upfront fees over 24 payments.

Monthly payment
$386.59
Cash received
$7,500
Total interest
$1,038.11
Total cost of credit
$1,778.11

On short loans, fees dominate the APR because there are few payments to spread them across.

Frequently asked questions

Why is the APR higher than the interest rate I was quoted?

Because the APR includes fees paid up front. You receive less cash than the loan amount but repay the full amount plus interest, so the effective rate is higher. The bigger the fee, the bigger the gap.

Which number should I use to compare loan offers?

Use the APR when comparing loans with different fee structures and the same term, because it captures both rate and costs. For loans you may repay early, also check whether fees are refundable and whether a prepayment penalty applies — APR assumes you hold the loan for the full term.

Does APR matter on a credit card?

Yes, but differently. Card APRs are quoted as an annual rate applied to a revolving balance, so there is no term to amortize. Compare card APRs directly and watch for penalty APRs that apply after a missed payment.

Should I pay discount points to lower my rate?

Points trade cash today for a lower rate tomorrow. Divide the points paid by the monthly saving to get the break-even month: if you keep the loan longer than that, points win. If you may sell or refinance sooner, keep the cash.

What is the difference between APR and APY?

APR measures the cost of borrowing using a nominal annual rate, ignoring compounding within the year. APY (or effective annual rate) includes compounding, so it is the right measure for savings accounts and the wrong one for comparing loans.

Why do disclosed APRs sometimes differ from this calculator?

Lenders follow specific disclosure rules about which fees count and how they are timed, and a few fees are excluded entirely. Small timing differences — such as whether the first payment is one month or 30 days after closing — also shift the result slightly.

Assumptions and sources

  • APR is defined as the rate that equates the present value of scheduled payments with the net amount advanced, following the US Truth in Lending Act (Regulation Z Appendix J) approach.
  • The rate is solved numerically by bisection to 200 iterations, which is accurate to well under a basis point.

Last reviewed 2026-09-13. This page is an estimate tool, not financial, tax or legal advice.Read the full disclaimer.