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APR Calculator

Find the true Annual Percentage Rate of a loan when fees are included. The APR gives you a more accurate picture of borrowing costs than the interest rate alone, making it easier to compare loan offers.

The interest rate on a loan is the number the lender quotes most prominently. The APR — Annual Percentage Rate — is the number federal law requires them to disclose, because it includes the fees that the interest rate alone leaves out. Comparing two loan offers by interest rate alone is like comparing two cars by sticker price while ignoring the dealer fees. APR exists to make the comparison apples-to-apples.

The calculation works by treating upfront fees as if they were extra interest paid over the life of the loan. A $5,000 origination fee on a $200,000 mortgage doesn't change your monthly payment, but it means you're really only receiving $195,000 of usable funds while paying back a $200,000 schedule. The APR is the interest rate that would produce the same monthly payments if you actually received $195,000 — always higher than the stated rate.

This calculator handles the math: stated rate + loan term + fees → effective APR. The result is the figure your loan estimate will show in big print, and the figure to use when stack-ranking offers from different lenders. Just remember the assumption: APR assumes you hold the loan for the full term. If you sell, refinance, or pay off early, the actual cost of those upfront fees on a per-year basis is higher than APR suggests.

Inputs

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%
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Results

Effective APR

6.745%

Stated Interest Rate

6.500%

Monthly Payment

$1,264

Total Cost (Interest + Fees)

$260,089

Rate Comparison

Total Borrowing Cost

Last updated: Reviewed by the CalcMountain editorial team

Formula

Step 1 — compute the monthly payment using the stated rate (standard amortization): M = L × [ r(1+r)^n ] / [ (1+r)^n − 1 ] Where: L = Loan amount r = Monthly interest rate (annual rate ÷ 12) n = Total number of payments (years × 12) Step 2 — net loan proceeds: L_net = L − Upfront Fees Step 3 — solve for the APR by finding the monthly rate r_APR that makes the present value of the same monthly payments equal to L_net: L_net = M × [ 1 − (1 + r_APR)^(−n) ] / r_APR This has no closed-form solution; it is found numerically (typically by Newton's method or bisection). The annual APR is then r_APR × 12. Example: $200,000 loan at 6.5% for 30 years, $5,000 in fees Monthly payment at stated rate: $1,264.14 Net proceeds: $195,000 Solving for the rate that produces the same $1,264.14 payment on $195,000 over 30 years: APR ≈ 6.73% (about 23 basis points above the stated rate)

How to use this calculator

  1. Enter the loan amount you are borrowing. This is the face amount of the loan, before any fees are deducted.
  2. Enter the stated interest rate the lender quotes — sometimes called the "note rate." This is the rate used to calculate your monthly principal-and-interest payment.
  3. Enter the loan term in years. APR is sensitive to term: the same fees spread over 30 years contribute less APR than spread over 5 years.
  4. Enter total upfront fees. Include everything paid to obtain the loan: origination fees, points, underwriting fees, broker fees, mortgage insurance up front. Do not include third-party costs that are not retained by the lender (recording fees, title insurance, prepaid taxes/insurance — these affect cash needed at closing but not APR by the Truth in Lending Act definition).
  5. Compare the APR to the stated rate. The gap is the fee cost expressed as an annualized rate. A small gap (under 0.1%) means low fees; a large gap (0.5%+) means fees are a meaningful share of cost.
  6. When comparing two loan offers, the lower APR is generally the better deal — that's exactly what the metric was designed for. But check the loan terms match (same length, same fixed-vs-adjustable type).
  7. If you plan to pay off early — sell the house, refinance — the APR comparison is misleading. Calculate the effective rate over your actual expected holding period instead.

Worked examples

Standard 30-year mortgage with origination fees

Loan: $300,000 at 6.5% over 30 years Upfront fees: $6,000 (origination + processing) Monthly payment at 6.5%: $1,896 Net proceeds: $294,000 APR: ≈ 6.72% The $6,000 in fees adds about 22 basis points to the effective rate when amortized over 30 years.

Paying down the rate with discount points

Same $300,000 loan, but pay 2 discount points ($6,000) to lower the rate from 7.0% to 6.5% Without points: 7.0%, no fees → APR 7.00%, monthly $1,996 With points: 6.5%, $6,000 in points → APR 6.72%, monthly $1,896 Monthly savings: $100. Break-even: $6,000 ÷ $100 = 60 months (5 years). The APR comparison favors the points-paid loan, but only if you actually hold the loan past the break-even point.

Short-term loan — fees dominate APR

Personal loan: $10,000 at 11% over 5 years Origination fee: $500 Monthly payment at 11%: $217 Net proceeds: $9,500 APR: ≈ 12.94% The same $500 fee that adds 22 bps over 30 years adds 194 bps over 5 years. Fees matter most on short-term loans.

When to use this calculator

Use this calculator to compare loan offers from different lenders or different products from the same lender — it is the cleanest way to convert "interest rate plus fees" into a single comparable number. The Truth in Lending Act (Regulation Z) requires lenders to disclose APR on the Loan Estimate, and APR is also why a lender quoting a 6.5% rate with $8,000 of fees may be more expensive than a different lender quoting 6.75% with $1,000 of fees.

Pair it with the mortgage-payment calculator to see the monthly cash impact, and with the loan comparison or personal loan calculator when stack-ranking offers across products.

It is less useful when comparing two loans of different terms (a 15-year vs. 30-year) or different types (fixed vs. adjustable), because APR assumes you hold to maturity at the disclosed terms. For loans you intend to pay off early, compute an effective rate over your actual expected holding period — APR understates the cost of upfront fees in those scenarios.

Common mistakes to avoid

  • Comparing the stated rate of one loan to the APR of another. Always compare the same metric across offers — stated to stated, or APR to APR.
  • Including third-party costs in APR. Under TILA/RegZ, APR captures fees retained by the lender or paid to obtain the loan. Independent third-party costs (title insurance from a non-affiliated provider, recording fees, prepaid taxes) affect closing cash but not APR.
  • Trusting APR for short-holding-period decisions. If you expect to refinance or sell in 3 years, a high-fee/low-rate loan may have a great 30-year APR but be terrible for your actual holding period.
  • Forgetting that APR for adjustable-rate mortgages assumes future rate movements that may not occur. The "fully-indexed" APR on an ARM uses today's index plus margin as a proxy for future periods — actual cost can be higher or lower.
  • Treating APR as the cost of borrowing. APR is an annualized cost figure, not the total dollar cost. Total interest paid over the life of the loan is a separate number — and over 30 years, it usually dwarfs even the loan principal.
  • Assuming all "no-fee" loans have the same APR as the rate. "No fee" sometimes means fees are rolled into a higher rate. A 7.0% no-fee loan vs. a 6.5% with $5,000 in fees may have similar APRs but very different cash dynamics.

Frequently Asked Questions

Sources & further reading

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