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Mortgage Calculator

Find your monthly mortgage payment with property tax, insurance, PMI and HOA, the total cost and the amortization schedule.

Change the values and press Calculate to work out your own figures.

Enter the price, down payment, term and rate, and the costs you pay with it.

About priceHome, car or asset price.
About down payment isPercent of the price or an amount.
About yearsLength in years.
About interest rate, % a yearNominal annual rate.
About property tax isPercent or amount.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
About down payment (optional)Percent or amount.
About property tax (optional)Per year.
About home insurance a year (optional)Homeowner's insurance.
About pmi, % of the loan a year (optional)Usually when less than 20% down.
About hoa a month (optional)Homeowners association fee.
About other costs a year (optional)Maintenance and the like.
About extra each month (optional)Paid on top of the regular payment.
Result
Monthly payment
$3,098.01
Principal and interest
$2,239.68
Property tax
$400.00 a month
Home insurance
$125.00 a month
Other costs
$333.33 a month
Loan
$320,000.00 ($80,000.00 down)
Total of 360 payments
$806,282.32
Total interest
$486,282.32

The monthly payment is $3,098.01, $2,239.68 of it principal and interest.

Year by year
YearInterestPrincipalBalance
1$23,932.05$2,944.11$317,055.89
2$23,703.17$3,172.99$313,882.90
3$23,456.47$3,419.69$310,463.21
4$23,190.66$3,685.50$306,777.71
5$22,904.14$3,972.02$302,805.69
6$22,595.35$4,280.81$298,524.88
7$22,262.55$4,613.61$293,911.27
8$21,903.91$4,972.25$288,939.02
9$21,517.37$5,358.79$283,580.23
10$21,100.78$5,775.38$277,804.85
11$20,651.79$6,224.37$271,580.48
12$20,167.90$6,708.26$264,872.22
13$19,646.41$7,229.75$257,642.47
14$19,084.37$7,791.79$249,850.68
15$18,478.65$8,397.51$241,453.17
16$17,825.81$9,050.35$232,402.82
17$17,122.23$9,753.93$222,648.89
18$16,363.97$10,512.19$212,136.70
19$15,546.77$11,329.39$200,807.31
20$14,666.03$12,210.13$188,597.18
21$13,716.81$13,159.35$175,437.83
22$12,693.81$14,182.35$161,255.48
23$11,591.28$15,284.88$145,970.60
24$10,403.02$16,473.14$129,497.46
25$9,122.41$17,753.75$111,743.71
26$7,742.27$19,133.89$92,609.82
27$6,254.77$20,621.39$71,988.43
28$4,651.69$22,224.47$49,763.96
29$2,923.95$23,952.21$25,811.75
30$1,061.93$25,811.75$0.00
Show the working
  1. principal and interest = loan × i ÷ (1 − (1 + i)^−n)
  2. plus tax, insurance, PMI, HOA and other costs a month

How to use it

Enter the price, down payment, term and rate, and the costs you pay with it.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

principal and interest = loan × i ÷ (1 − (1 + i)^−n)
monthly total = principal and interest + tax ÷ 12 + insurance ÷ 12 + PMI + HOA + other ÷ 12

PMI

Lenders usually require private mortgage insurance below 20% down, about 0.3–1.9% of the loan a year, until the balance reaches 78–80% of the home's value.

Questions

What is the payment on a $400,000 home with 20% down at 7.51%?

$2,239.68 principal and interest; $3,098.01 with 1.2% tax, $1,500 insurance and $4,000 other costs.

Formulas

principal and interest = loan × i ÷ (1 − (1 + i)^−n)
monthly total = principal and interest + tax ÷ 12 + insurance ÷ 12 + PMI + HOA + other ÷ 12

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed