AtlasCalcsUtility Calculation Suite
2026-09-21 7 min read

Mortgage APR Calculator

The true annual percentage rate once closing costs are included for a mortgage. Live calculator with worked steps, charts.

Calculator

Home Price Help
$

The purchase price of the property.

Down Payment(%)
%
Annual Interest Rate(%)
%
Loan Term(years)
years
Closing Costs (% of price)(%)
%
Advanced options (2)
Origination Fee (% of loan)(%)
%
Discount Points (% of loan)(%)
%

This mortgage basics calculator runs on the standard amortisation model: interest is charged on the outstanding balance each month, and anything extra you enter is applied to principal immediately.

Amortization schedule

Balance Interest Payment
View:
YearInterestPrincipalEnding Balance
1$25,503.39$2,673.16$317,326.84
2$25,281.52$2,895.04$314,431.80
3$25,041.24$3,135.32$311,296.48
4$24,781.01$3,395.55$307,900.92
5$24,499.18$3,677.38$304,223.54
6$24,193.96$3,982.60$300,240.94
7$23,863.40$4,313.16$295,927.78
8$23,505.41$4,671.15$291,256.63
9$23,117.71$5,058.85$286,197.78
10$22,697.83$5,478.73$280,719.05
11$22,243.10$5,933.46$274,785.59
12$21,750.62$6,425.94$268,359.65
13$21,217.27$6,959.29$261,400.36
14$20,639.65$7,536.91$253,863.46
15$20,014.09$8,162.47$245,700.99
16$19,336.61$8,839.95$236,861.04
17$18,602.90$9,573.66$227,287.39
18$17,808.29$10,368.27$216,919.12
19$16,947.73$11,228.83$205,690.29
20$16,015.75$12,160.81$193,529.48
21$15,006.40$13,170.16$180,359.33
22$13,913.29$14,263.27$166,096.05
23$12,729.44$15,447.12$150,648.94
24$11,447.34$16,729.22$133,919.72
25$10,058.82$18,117.74$115,801.98
26$8,555.06$19,621.50$96,180.48
27$6,926.49$21,250.07$74,930.41
28$5,162.74$23,013.82$51,916.59
29$3,252.60$24,923.96$26,992.63
30$1,183.93$26,992.63$0.00

Results

Normal

Annual Percentage Rate (APR)

8.56%

Note rate plus the amortised cost of fees and points.

Note Rate

8.00%

Monthly Payment

$2,348.05/month

Total Loan Costs

$16,400

Origination Fee

$3,200

Discount Points

$3,200

1.00% of the loan.

Other Closing Costs

$10,000

Net Amount Financed

$303,600

APR − Note Rate

0.56%

Live results update as you type — currently showing annual percentage rate (apr) of 8.56% on 12 payments a year. Replace the defaults with your own quote for an exact comparison.

Visualizations

Note Rate vs APR

8%Note rate
8.6%APR

Loan Cost Split

Amount financed36%
Fees & points2%
Interest62%

Formula

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

See the worked steps below for the exact relationship used

Variables

SymbolNameUnitDescription
AAmountcurrencyBalance or amount involved in the calculation
iPeriodic ratedecimalAnnual rate ÷ periods per year
nNumber of periodscountTerm in payments

Explanation

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Add every lender charge: origination, points and closing costs.

Fees = loan × (orig % + points %) + price × closing %
Origination:1.00%
Points:1.00%
Closing:2.50%
Result: $16,400
Step 2

APR measures the rate on cash actually received, so net the fees out.

Net = loan − fees
Intermediate: $320,000 − $16,400
Result: $303,600.00
Step 3

Find the rate that discounts the payment stream to the net amount.

Solve net = P × (1 − (1 + i)^−n) ÷ i
Result: 8.563% APR
Final Answer
8.56%

Worked Examples

See how the calculator works with different scenarios.

Scenario

The mortgage apr calculator run on the values above, showing the full calculation path rather than only the answer.

Inputs

Rate:8
Years:30

Calculation

1. Add every lender charge: origination, points and closing costs. → $16,400 2. APR measures the rate on cash actually received, so net the fees out. → $303,600.00 3. Find the rate that discounts the payment stream to the net amount. → 8.563% APR

Result

Annual Percentage Rate (APR): 8.56%

Interpretation

Loan $320,000 at 8.00% with $16,400 of costs (orig $3,200, points $3,200, other $10,000) yields APR 8.563% on net proceeds $303,600.

Understanding Your Result

Your Result: Annual Percentage Rate (APR): 8.56%

Typical range: A mortgage APR usually sits 0.1–0.6 points above the note rate; more than a full point means points or fees are doing heavy lifting.

What This Means

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

Why It Matters

Loan $320,000 at 8.00% with $16,400 of costs (orig $3,200, points $3,200, other $10,000) yields APR 8.563% on net proceeds $303,600.

Professional Interpretation

Loan $320,000 at 8.00% with $16,400 of costs (orig $3,200, points $3,200, other $10,000) yields APR 8.563% on net proceeds $303,600.

How this is calculated

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

What drives the result

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

Recommendations

  • •Compare loan estimates side by side at the same lock date; APR is the tie-breaker between fee-heavy and fee-light offers.
  • •If you may move or refinance within 5–7 years, favour the lower-fee offer even at a slightly higher rate.

Educational Content

Introduction

The advertised rate is not the cost of borrowing. Upfront fees, points and compounding frequency change what you actually pay, and the annual percentage rate expresses all of those in one comparable figure. This page separates each component so you can see exactly what the money costs.

Concept Explanation

Interest is charged on the balance, but fees are charged on the transaction. Spreading a fixed fee across a shorter term raises the effective cost sharply because the same dollars are amortised over fewer payments. Effective and nominal rates only diverge because of compounding and costs, so the gap between them measures how much the fee structure is doing.

Applications

▸Comparing two offers with different rates and different closing costs
▸Deciding whether to pay points to buy down a rate
▸Working out whether an origination fee is worth financing
▸Measuring the true cost of high-fee consumer credit such as hard-money or merchant advances

Benefits

  • •Reveals the real annual cost of a loan including fees
  • •Turns points and origination charges into a dollar figure you can evaluate
  • •Shows how much of each payment goes to cost rather than principal
  • •Makes offers with different structures directly comparable

Limitations

  • •APR assumes you hold the loan to maturity, which understates the cost of a loan you repay early
  • •Fees paid in cash and financed fees are treated differently by some lenders
  • •Prepayment penalties and variable-rate features are outside a simple APR calculation
  • •Required add-ons such as credit insurance may or may not be included depending on the quote

Best Practices

  • •Ask for the APR, the finance charge and the total of payments in writing
  • •Convert every percentage fee into dollars before deciding
  • •Compare costs over the horizon you actually expect to keep the loan
  • •Recalculate if the term changes — the fee spread changes with it

Common Misconceptions

Myth: A no-fee loan is always cheaper
Truth: A no-fee loan often carries a higher rate; over a long holding period that rate can cost more than the fee.
Myth: Rate and APR should be close
Truth: A gap is normal but should be explainable by fees you can identify line by line.

Practical Tips

  • •Ask for the APR, the finance charge and the total of payments in writing
  • •Convert every percentage fee into dollars before deciding
  • •Compare costs over the horizon you actually expect to keep the loan

Common Mistakes

A no-fee loan is always cheaper
A no-fee loan often carries a higher rate; over a long holding period that rate can cost more than the fee.
Rate and APR should be close
A gap is normal but should be explainable by fees you can identify line by line.

Assumptions

This calculator makes the following assumptions to provide estimates:

Figures as entered: The result follows directly from the values you supplied.

Limitations

Be aware of these limitations when using this calculator:

Limitation: APR assumes you hold the loan to maturity, which understates the cost of a loan you repay early
Limitation: Fees paid in cash and financed fees are treated differently by some lenders
Limitation: Prepayment penalties and variable-rate features are outside a simple APR calculation
Limitation: Required add-ons such as credit insurance may or may not be included depending on the quote

Frequently Asked Questions

Answers to common questions about this calculator.

Who uses the mortgage apr calculator?
It is used by home buyers comparing mortgage offers, by owners weighing a refinance or equity move, and by loan officers and advisers sanity-checking a payment, ratio or fee structure. It sits in the Mortgage Basics group of the Mortgage & Home Finance section of Atlascalcs.
How accurate is the mortgage apr calculator?
Every figure follows directly from the inputs using standard amortisation mathematics, so it is accurate to the quality of the values you enter. Lenders round payments and apply their own day-count conventions, so expect small differences against a formal statement or payoff quote.
How current are the rates and thresholds used here?
The calculator uses the figures you enter, so update the rate to your actual offer or current market quote. Ratio thresholds, poverty guidelines and programme rules reflect the conventions described in the references and change periodically.
Does rounding change the results?
Every calculation runs on full precision and rounds only for display. Lenders round payments to the nearest cent or dollar, so expect a small difference between these figures and a formal statement or payoff quote.
Should I use the payment or the total cost to compare offers?
Use the payment to judge cash flow and the finance charge or APR to judge cost. When two offers differ on both, the all-in cost over the period you expect to hold the loan is the decisive measure.
Can I use this calculator for a business or commercial loan?
Yes. The payment, amortisation, ratio and cost calculators apply the same amortisation mathematics to commercial loans; the difference is in the fees, covenants and collateral rules, which you should enter explicitly.
What information should I have ready before applying?
Your exact rate and term, the fee schedule, any required add-ons, and your gross income and existing monthly obligations. With those five numbers every figure on this page can be tied back to a lender quote.

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Related Guides

Deepen your understanding with these educational resources.

Glossary

Technical terms used in mortgage calculations explained in plain language.

Principal
The amount borrowed, excluding interest and fees. Payments applied to principal reduce the balance and therefore future interest.
Amortisation
Repaying a debt through a schedule of payments that gradually shifts the split from interest to principal until the balance reaches zero.
APR (Annual Percentage Rate)
The yearly cost of credit expressed as a rate, including interest and most upfront finance charges.
Finance charge
The total dollar cost of credit, including interest and certain fees.

Authoritative References

Trusted sources and standards referenced by this calculator.

Applicable Standards

Level-payment (simple-interest) amortisation, payments assumed in arrearsAPR computed by discounting the actual payment stream to net proceedsDebt ratios computed on gross income for lender comparisonsMoney rounded for display only; all calculations run at full precision

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Page Information

Last Updated:

2026-09-21

Version:

2.0.0

License:

Free to use for educational and professional purposes.