The APR Calculator computes the Annual Percentage Rate of a loan from the nominal interest rate, loan amount, term, and upfront fees. APR reveals the true cost of borrowing by including fees — the legally required disclosure metric for comparing loans in most regulated lending markets.
0.0607
$1,498.88
$245,000.00
$289,595.47
$294,595.47
0.0607
$1,498.88
$245,000.00
$289,595.47
$294,595.47
Two mortgage offers sit in front of you: one at 6.5% with no fees, another at 6.2% with USD 4,000 in origination costs. Which is actually cheaper? The advertised interest rate does not answer this question — APR does. The calculator for Annual Percentage Rate converts the true all-in cost of borrowing into a single comparable rate by incorporating both the nominal interest rate and the upfront fees that effectively raise your cost of funds.
APR is the interest rate that makes the present value of all loan payments equal to the net proceeds received (loan amount minus upfront fees). For a loan with amount P, monthly payment PMT, term N months, and upfront fees F:
Net proceeds = P − F
APR satisfies: Net proceeds = PMT × [1 − (1 + r_monthly)^(−N)] / r_monthly
where r_monthly = APR/12. This is an implicit equation solved numerically (Newton-Raphson iteration). The monthly payment PMT is first calculated from the nominal rate, then the APR is the monthly rate that discounts that same payment stream back to the net proceeds. The PMT calculator computes the monthly payment from nominal rate, principal, and term.
The gap between nominal rate and APR depends entirely on the fees included and the loan term:
Use this online calculator to compute APR for any loan structure. The future value calculator and time value of money calculators cover the broader toolkit of loan and investment analysis.
US TILA (Truth in Lending Act) and EU Consumer Credit Directive require APR disclosure, but with different scope rules. Generally included in APR: origination fees, points, broker fees, underwriting fees, mortgage insurance premiums (if required). Generally excluded: title insurance, appraisal fees, attorney fees (in some jurisdictions), property taxes, and homeowner's insurance. The exclusions mean APR still understates total borrowing costs for mortgages — the Total Cost of Credit (TCC) metric in the EU's MCD directive and the loan's "total of payments" figure provide a more complete picture. When comparing loans, always verify which costs each lender's APR calculation includes.
While APR measures the cost of borrowing, APY (Annual Percentage Yield) measures the return on savings accounts and investments, incorporating the compounding frequency. They are opposite sides of the same mathematical coin: APR is a simple (non-compounded) rate used for loan cost disclosure; APY compounds interest to show the effective annual yield. A savings account paying 5% nominal rate compounded monthly has APY = (1 + 0.05/12)^12 − 1 = 5.116% — the actual interest earned on USD 1,000 in a year is USD 51.16, not USD 50.00. The APY calculator handles the savings account compounding direction.
APR is the rate that satisfies: (Loan - Fees) = PMT × [(1 - (1 + APR/n)-nt) / (APR/n)], where PMT is calculated from the full loan amount at the nominal rate. The calculator first computes the payment using the stated interest rate, then uses Newton-Raphson iteration to find the APR that makes the net proceeds equal the present value of those payments.
The APR reflects the true annual borrowing cost including fees — always compare APRs, not nominal rates, when shopping for loans. The Monthly Payment is based on the nominal rate and full loan amount. Total Interest is the interest paid over the loan's life. Total Cost adds fees to the total interest for the complete picture of borrowing costs.
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A $300K mortgage at 6.5% with $8,000 in fees has an APR of approximately 6.69%
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$20K personal loan at 8% with $500 fee has an APR of approximately 8.43%
APR (Annual Percentage Rate) is the annualized cost of borrowing that includes the interest rate plus any mandatory fees, expressed as a percentage. It provides a standardized way to compare the true cost of different loan offers.
The interest rate is the cost of borrowing the principal only. APR includes the interest rate plus fees (origination fees, points, closing costs). APR is always equal to or higher than the interest rate. If there are no fees, APR equals the interest rate.
For mortgages: origination fees, discount points, mortgage insurance premiums, and most closing costs. Excluded: title insurance, appraisal fees (varies by lender), and prepaid items. For other loans: origination fees, processing fees, and mandatory charges.
The Truth in Lending Act (1968) mandates APR disclosure so consumers can compare loan offers fairly. Without APR, a lender could advertise a low rate but hide high fees, making true comparison impossible.
Generally yes for loans held to maturity. However, if you plan to sell or refinance within a few years, a slightly higher APR with lower upfront fees might save money. APR assumes you keep the loan for its full term.
Credit card APR is typically the same as the interest rate since there are usually no upfront fees. However, cards may have multiple APRs: purchase APR, cash advance APR, balance transfer APR, and penalty APR.
APR does not account for compounding (it is a simple annual rate). APY (Annual Percentage Yield) accounts for compounding. A 12% APR compounded monthly is equivalent to a 12.68% APY.
Yes, in several ways: it assumes you keep the loan for its full term, it may exclude some fees depending on the lender's interpretation, and it doesn't account for the time value of the upfront fees. For short-term borrowing, actual cost may differ significantly from APR.
Each discount point (1% of loan amount) typically reduces the rate by 0.25%. The points increase the APR because they are prepaid interest. Buying points lowers the nominal rate but increases the APR — the breakeven period determines if points are worthwhile.
APR varies with market conditions, credit score, and loan type. As of recent years, competitive 30-year fixed mortgage APRs have ranged from 3% to 8%. Compare your offered APR to current market averages and aim for the lowest available for your credit profile.
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