Finance calculator

APR Calculator

APR estimates the yearly cost of borrowing — the interest rate plus certain fees — so you can compare similar loans on equal terms. This tool finds the real APR from your rate, financed and upfront fees, compounding, and payment frequency; adds a mortgage mode with points and PMI; compares up to three offers on APR and total cost; and shows how an early payoff changes the real cost. Download a 10-sheet Excel report — in any currency.

Free, no sign-in Fees, points & PMI Mortgage APR Compare 3 offers 10-sheet Excel report

Educational estimate — fee inclusion in APR varies by loan type and rules. Not a lender disclosure.

General APR Calculator

Enter your loan details

Loan details$20,000 · 6.50% · 60 mo

The amount, rate, term, and how interest compounds and is repaid.

$

Total amount you are borrowing.

%

The nominal annual rate. Use 0 for a 0% loan.

Loan term
Fees$500 total

Fees raise the true APR above the note rate. Financed fees are added to the loan; upfront fees are paid out of pocket.

$

Added to the loan balance.

$

Paid at closing — reduces net proceeds.

Real APR

7.563%

High fee impactnote 6.500% · gap +1.063 pts

Monthly payment

$391.32

60 payments

Amount financed

$20,000

Payment base

Total interest

$3,479

Total APR-included fees

$500

2.50% of loan

Cost stack — where the money goes

Principal $20,000Interest $3,479Fees $500

Exports your current inputs, APR result, fee breakdown, amortization schedule, comparison table, assumptions, sources, and disclaimer.

What this means

High fee impact — it is worth comparing this with lower-fee offers. Fees add about 1.06 percentage points to your borrowing cost.

APR is not APY. The effective annual rate (EAR/APY) of this APR is about 7.830% — shown as support; APR is the comparison figure lenders disclose.

Visual breakdown

Each chart has a data table beneath it for exact figures.

Cost breakdown

Principal vs interest vs fees over the life of the loan.

Interest $3,479 and fees $500 on top of $20,000 borrowed.

Show data table
ComponentAmount
Principal$20,000
Interest$3,479
APR fees$500

Note rate vs APR

How much the fees lift the rate.

APR is 1.063 points above the note rate.

Show data table
RateValue
Note rate6.500%
APR7.563%

Balance over time

The remaining balance as you repay.

Falls from $20,000 to zero over 60 payments.

Show data table
PaymentBalance
1$19,717
2$19,432
3$19,146
4$18,859
5$18,570
6$18,279
7$17,987
8$17,693
9$17,397
10$17,100
11$16,801
12$16,501
13$16,199
14$15,896
15$15,590
16$15,284
17$14,975
18$14,665
19$14,353
20$14,039
21$13,724
22$13,407
23$13,088
24$12,768
25$12,446
26$12,122
27$11,796
28$11,469
29$11,140
30$10,809
31$10,476
32$10,141
33$9,805
34$9,467
35$9,127
36$8,785
37$8,441
38$8,095
39$7,748
40$7,399
41$7,047
42$6,694
43$6,339
44$5,982
45$5,623
46$5,262
47$4,900
48$4,535
49$4,168
50$3,799
51$3,429
52$3,056
53$2,681
54$2,304
55$1,925
56$1,545
57$1,162
58$777
59$389
60$0

Amortization schedule

The first 12 payments show by default. Open the full schedule or the yearly summary.

#DateStartingPaymentInterestPrincipalEnding
1Jan 2026$20,000$391.32$108.33$282.99$19,717
2Feb 2026$19,717$391.32$106.80$284.52$19,432
3Mar 2026$19,432$391.32$105.26$286.06$19,146
4Apr 2026$19,146$391.32$103.71$287.61$18,859
5May 2026$18,859$391.32$102.15$289.17$18,570
6Jun 2026$18,570$391.32$100.59$290.73$18,279
7Jul 2026$18,279$391.32$99.01$292.31$17,987
8Aug 2026$17,987$391.32$97.43$293.89$17,693
9Sep 2026$17,693$391.32$95.84$295.48$17,397
10Oct 2026$17,397$391.32$94.24$297.08$17,100
11Nov 2026$17,100$391.32$92.63$298.69$16,801
12Dec 2026$16,801$391.32$91.01$300.31$16,501
Real APR · note 6.50%7.563%
Result

APR is the yearly cost of a loan including interest plus certain fees. It is usually a little higher than the interest rate, it helps you compare similar offers on equal terms, and it can understate cost if you repay early.

Quick answers

What is APR?

APR (Annual Percentage Rate) is the yearly cost of borrowing expressed as a percentage. It includes the interest rate plus certain finance charges — like origination fees and points — spread over the life of the loan, so it is usually a little higher than the stated interest rate. APR exists so you can compare similar loans on equal terms.

APR vs interest rate

The interest rate (or note rate) is the cost of borrowing the principal alone. APR is broader: it folds in lender fees that are part of the cost of credit, so it reflects more of what the loan actually costs. If a loan has no fees, the APR is essentially equal to the interest rate; the more fees, the wider the gap.

What fees are included in APR?

Generally, lender finance charges — origination fees, discount and origination points, underwriting/processing fees, and (for mortgages) PMI while it is required — are included. Third-party charges that are not a condition of the loan, such as appraisal, title, taxes, and prepaid insurance, are often excluded. The exact list depends on the loan type and the rules in your jurisdiction, so this tool lets you classify each fee.

Why APR can be higher than the interest rate

Because APR includes fees, not just interest. Upfront fees reduce the net amount you actually receive, and financed fees increase the balance you pay interest on — both raise the effective annual cost above the note rate. The bigger the fees relative to the loan, the higher the APR climbs above the rate.

When APR can mislead

APR spreads upfront fees evenly across the full term. If you repay early — refinance, sell, or pay off — those same fees are absorbed over fewer months, so your real cost can be higher than the APR suggested. A low-APR loan with high upfront fees can cost more than a higher-APR, low-fee loan if you do not keep it long.

APR vs APY

APR is a nominal annual rate: the periodic rate multiplied by the number of periods, the way lenders disclose borrowing cost. APY (or EAR, the effective annual rate) accounts for compounding within the year and is slightly higher. APR is the comparison figure for loans; APY is more common for savings. This tool shows APR as the main figure and EAR only as support.

Mortgage APR vs loan APR

The math is the same, but mortgages have extra finance charges — discount points, origination points, lender fees, and PMI — that feed into APR, while many third-party closing costs (appraisal, title, taxes, insurance) are typically excluded. A mortgage APR also does not include property tax or homeowners insurance, so it is not your total monthly housing cost.

How to compare two loans using APR

Compare offers of the same loan amount and term: the lower APR is usually the cheaper loan if you keep it to maturity. But also check the total cost and the cost if you repay early, because upfront fees change the ranking for short holding periods. The Compare Offers tab on this page does all three for you.

How to use this APR calculator

  1. Pick a mode. Choose General APR, Mortgage APR, Compare Offers, or Early Payoff using the tabs at the top.
  2. Enter the loan. Add the loan amount, note rate, and term. For mortgages, enter the home price, down payment, and points instead.
  3. Classify the fees. Enter financed and upfront fees (and, in advanced mode, itemise each fee as financed, upfront, or excluded from APR).
  4. Read the APR and the gap. See the real APR, how far it sits above the note rate, the fee impact, and the cost stack of principal, interest, and fees.
  5. Compare and export. Compare offers or model an early payoff, then download the 10-sheet Excel report built from your inputs.

The APR formula

Payment

PMT = P × r(1+r)ⁿ / ((1+r)ⁿ − 1)

P is the financed balance, r the periodic note rate, n the number of payments. At 0% it is P / n.

APR (solved numerically)

net proceeds = Σ payment / (1 + a)ᵏ

a is the periodic APR rate; APR = a × payments per year. Net proceeds = loan − upfront finance charges.

Fee treatment

financed → in balance · upfront → reduces proceeds

Excluded fees are shown but left out of APR unless reclassified.

APR vs APY

APR is nominal; EAR = (1 + a)ᵖ − 1

APR is the comparison figure; the effective annual rate is shown only as support.

A practical guide to APR

What APR means

APR — the Annual Percentage Rate — is a single number that estimates the yearly cost of a loan including both interest and certain fees. It exists because of truth-in-lending rules: lenders must disclose APR so borrowers can compare offers on a common basis rather than being misled by a low headline rate attached to high fees.

In this calculator, APR is the annual rate at which the present value of your scheduled payments equals the net amount you actually receive after upfront finance charges. When there are no fees, the APR equals the interest rate; every fee that counts as a finance charge nudges it higher.

APR vs interest rate

The interest rate (note rate) applies only to the principal — it is what generates your interest each period. APR is wider: it reflects the rate plus lender fees that are part of the cost of credit, so it is a better single measure of what a loan costs. The CFPB describes APR as the cost of credit expressed as a yearly rate, which is generally higher than the interest rate because it includes those charges.

A practical rule: use the interest rate to compute your payment, and the APR to compare two loans. Two loans can share a rate but differ on APR because one charges more fees.

Real APR with fees

Fees are what separate APR from the note rate. Upfront fees are paid at closing and reduce the net proceeds you receive, so you effectively borrow less for the same payments — which raises the APR. Financed fees are rolled into the loan balance, so you pay interest on them and your payment rises — which also raises the APR.

Because APR captures both effects, it is the most honest comparison of two similar loans. The wider the gap between APR and the note rate, the more the fees are costing you.

Loaned fees vs upfront fees

A loaned (financed) fee is added to the amount you borrow: it does not come out of pocket today, but you pay interest on it for the whole term. An upfront fee is paid in cash at closing: no interest, but it reduces the money you walk away with. For the same dollar amount, an upfront fee usually pushes APR slightly higher than a financed one, because it hits you immediately rather than being spread out.

This tool lets you classify each fee as financed, upfront, or excluded. Excluded fees (often appraisal, title, taxes, and prepaid insurance) are shown for budgeting but left out of APR, because whether they belong in APR depends on the loan type and local rules.

Mortgage APR explained

Mortgage APR uses the same engine but adds the charges specific to home loans: discount and origination points, lender fees, and PMI. Points are quoted as a percent of the loan (one point = 1%) and are an upfront finance charge, so they raise APR. PMI, where required, is generally treated as a finance charge for the period it applies, so including it lifts the APR too.

Crucially, mortgage APR is not your total cost of homeownership. It does not include property tax, homeowners insurance, HOA dues, or maintenance, and many third-party closing costs are excluded. Treat mortgage APR as a way to compare loan offers, not as your monthly housing budget.

Points and APR

Discount points are an upfront payment to lower your interest rate; origination points are an upfront lender charge. Both are finance charges, so they raise APR. The trade-off is that points lower your payment, so whether they pay off depends on how long you keep the loan: divide the points cost by the monthly saving to get a rough break-even in months.

A low rate bought with heavy points can show a low payment but a higher APR and a long break-even — so paying points only makes sense if you will hold the loan well past that point. Enter the rate you would get without points to estimate the break-even on the Mortgage tab.

PMI and APR

Private mortgage insurance (PMI) protects the lender when your down payment is under about 20%. Because it is a cost of getting the credit, PMI is generally included in mortgage APR for the months it is charged — which this calculator assumes lasts until the balance reaches 78% of the home’s value, the common automatic-cancellation point.

PMI is not the same as homeowners insurance, and it is not part of your loan principal. We show PMI as a monthly add-on and a total-monthly-with-PMI figure, and let you toggle whether to include it in APR, because PMI duration and treatment can vary.

APR vs APY / EAR

APR is a nominal rate: it is the periodic rate times the number of periods per year. APY (annual percentage yield) and EAR (effective annual rate) go further and account for compounding within the year, so they are a little higher than APR for the same periodic rate. Lenders disclose APR for borrowing; banks quote APY for savings.

We display APR as the headline and show the effective annual rate only as supporting context. When comparing loans, compare APRs; do not mix an APR from one quote with an APY from another.

Why APR can mislead on early payoff

APR assumes you keep the loan for its full term and spreads upfront fees evenly across every month. If you repay early, those fees are absorbed over fewer months, so your true annualized cost is higher than the APR implied. This is why a loan with the lowest APR is not always the cheapest if you plan to refinance, sell, or pay off quickly.

The Early Payoff tab shows the effective cost of holding the loan only to your expected payoff month. When upfront fees are high and the holding period is short, that effective cost can sit well above the headline APR.

How to compare two offers

Put both offers on the same loan amount and term, then look at three numbers: APR, total cost if held to maturity, and total cost if paid off at your expected month. For a full-term hold, the lower APR usually wins. For a short hold, the offer with lower upfront fees can win even at a higher rate.

The Compare Offers tab computes all three and highlights the lowest in each — under your entered assumptions, not as a recommendation. The headline takeaway: the lowest APR is not always the lowest cost if you repay early.

Worked examples

1. Personal loan with fees

A $20,000 loan at a 6.5% note rate over 60 months, with $500 of upfront fees, has a monthly payment of about $391. Because the $500 reduces the net proceeds to $19,500, the real APR is roughly 7.56% — about 1.06 points above the note rate, a high fee impact.

2. Mortgage with points

A $400,000 home with $80,000 down (a $320,000 loan) at 6.0% over 30 years, with 1 discount point (~$3,200) plus about $2,400 of lender fees, has a monthly principal & interest of about $1,919 and a mortgage APR near 6.15%. The points and fees lift the APR above the rate; property tax and insurance are not included.

3. Early payoff

Take the same $20,000 loan with $800 of upfront fees: its full-term APR is about 8.2%. But if you repay at month 18 of 60, those fees are absorbed over far fewer months, so the effective cost rises to roughly 9.8% — the same fees, compressed. That is why a low APR is not always the cheapest if you do not keep the loan.

Assumptions & limitations

This calculator models a fixed-rate amortized loan with regular payments and solves APR numerically. It assumes no missed or late payments, no variable-rate changes, and no balloon payment unless you enter one. Fee treatment follows your classification, and PMI (where entered) is assumed to apply until the balance reaches 78% of the home’s value.

Not included by default: property tax, homeowners insurance, prepayment penalties, variable-rate changes, and third-party charges you classify as excluded. A lender’s official APR may differ because fee inclusion depends on loan type, jurisdiction, and disclosure rules. Use this to compare offers; rely on the lender’s disclosure for exact figures.

Frequently asked questions

What is APR?

APR (Annual Percentage Rate) is the yearly cost of borrowing expressed as a percentage, including the interest rate plus certain finance charges such as origination fees and points. It lets you compare loans on a common basis and is usually a little higher than the stated interest rate.

How is APR different from the interest rate?

The interest rate applies only to the principal and is used to compute your payment. APR adds in lender fees that count as finance charges, so it reflects more of the true cost of the loan. With no fees, APR equals the interest rate; with fees, APR is higher.

What fees are included in APR?

Typically lender finance charges — origination fees, discount and origination points, processing/underwriting fees, and PMI while required — are included. Third-party charges that are not a condition of the loan, such as appraisal, title, taxes, and prepaid insurance, are often excluded. The exact treatment depends on the loan type and jurisdiction, so this calculator lets you classify each fee.

Are mortgage points included in APR?

Yes. Discount points and origination points are upfront finance charges, so they are included in mortgage APR and raise it above the note rate. Points lower your rate and payment, so whether they pay off depends on how long you keep the loan.

Why is my APR higher than my interest rate?

Because APR includes fees. Upfront fees reduce the net amount you receive, and financed fees increase the balance you pay interest on — both raise the effective annual cost above the note rate. The more fees relative to the loan, the wider the gap.

Does APR include PMI?

For mortgages, PMI is generally treated as a finance charge and included in APR for the period it is required. This calculator assumes PMI lasts until the balance reaches 78% of the home’s value and lets you toggle whether to include it. PMI is separate from homeowners insurance.

Does APR include taxes and insurance?

Usually not. Property taxes, homeowners insurance, and many prepaid third-party charges are typically excluded from APR. That is why a mortgage APR is not the same as your total monthly housing cost. This tool shows excluded costs separately and only includes them in APR if you choose to.

Is the lowest APR always the cheapest loan?

Not always. The lowest APR is usually cheapest if you hold the loan to maturity, but APR spreads upfront fees over the full term. If you repay early, a loan with low upfront fees can cost less even at a higher APR. Compare the full-term cost and the early-payoff cost, not just APR.

Why can APR be misleading if I pay off early?

APR assumes the full term and spreads upfront fees across every month. If you repay early, those fees are compressed into fewer months, so your real annualized cost is higher than the APR suggested. The Early Payoff tab shows this effective cost for your expected payoff month.

What is the difference between APR and APY?

APR is a nominal annual rate (periodic rate × periods per year), the way lenders disclose borrowing cost. APY/EAR accounts for compounding within the year and is slightly higher. APR is the right figure for comparing loans; this tool shows the effective annual rate only as supporting context.

How do I compare two loan offers?

Use the Compare Offers tab. Put both offers on the same amount and term and compare APR, total cost over the full term, and total cost if you repay at your expected month. The tool highlights the lowest in each under your assumptions — it is a comparison, not a recommendation.

Is this APR calculator exact?

It is an accurate estimate using standard amortization and a numerical APR solve. A lender’s official APR can differ because fee inclusion depends on loan type, jurisdiction, and disclosure rules, and lenders round and time payments their own way. Use this to compare offers, and rely on the lender’s disclosure for exact figures.

Related calculators

Tools that build on the same loan and interest math:

  • Loan CalculatorWork out the monthly payment, total interest, and payoff date for any fixed-rate loan from the amount, rate, and term.
  • Auto Loan CalculatorCalculate a car-loan payment from price, down payment, trade-in, rate, and term, including the total cost of financing.
  • Mortgage CalculatorEstimate monthly payments, interest, taxes, insurance, PMI, and amortization using practical home-loan assumptions.
  • Personal Loan CalculatorEstimate repayments on an unsecured personal loan and see how the rate and term change what you pay overall.
  • Amortization Schedule CalculatorBuild a full payment-by-payment schedule showing how each instalment splits between principal and interest.
  • Mortgage Refinance CalculatorCompare your current mortgage to a new rate and term to see the monthly saving and how long it takes to break even.

Sources & methodology

APR is solved as the nominal annual rate where the present value of scheduled payments equals the net proceeds after upfront finance charges, using standard amortization. Whether a fee belongs in APR depends on loan type and jurisdiction; results are estimates, not a lender disclosure. Links open in a new tab.

Finance disclaimer

This calculator is for educational and planning purposes only. It is not financial, lending, tax, mortgage, or legal advice and is not a lender disclosure. It models a fixed-rate amortized loan and solves APR numerically. Whether a particular fee is included in APR depends on the loan type, jurisdiction, lender, and disclosure rules, and a lender’s official APR may differ. Variable APR, prepayment penalties, balloon payments, taxes, insurance, and third-party charges may not be fully modeled unless explicitly entered. Confirm all numbers with your lender or a qualified professional.

Built and maintained by Calculator Matters, an independent calculator project. Method checked against standard amortization and CFPB / Regulation Z guidance · Updated June 8, 2026 · How we calculate · Found an error? corrections@calculatormatters.com