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Amortization Calculator

Find a loan's payment and its full amortization schedule, with extra monthly, yearly or one-time payments.

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

Enter the amount, rate and term.

About loan amountWhat you borrow.
About interest rate, % a yearNominal annual rate.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
About term, yearsYears of payments.
About and months (optional)Extra months.
About extra each month (optional)Paid on top of the regular payment.
About extra each year (optional)Paid at every 12th payment.
About one-time extra (optional)A lump sum once.
About in payment number (optional)When the one-time extra is paid; 1 if blank.
Result
Payment
$1,687.71
Total of 180 payments
$303,788.82
Total interest
$103,788.82

The payment is $1,687.71 a month.

Year by year
YearInterestPrincipalBalance
1$11,769.24$8,483.28$191,516.72
2$11,245.98$9,006.54$182,510.18
3$10,690.51$9,562.01$172,948.17
4$10,100.73$10,151.79$162,796.38
5$9,474.60$10,777.92$152,018.46
6$8,809.81$11,442.71$140,575.75
7$8,104.06$12,148.46$128,427.29
8$7,354.77$12,897.75$115,529.54
9$6,559.28$13,693.24$101,836.30
10$5,714.71$14,537.81$87,298.49
11$4,818.06$15,434.46$71,864.03
12$3,866.08$16,386.44$55,477.59
13$2,855.42$17,397.10$38,080.49
14$1,782.38$18,470.14$19,610.35
15$643.19$19,610.35$0.00
Show the working
  1. payment = P × i ÷ (1 − (1 + i)^−n)
  2. each payment: interest = balance × i (to the cent), the rest repays principal

How to use it

Enter the amount, rate and term.

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

payment = P × i ÷ (1 − (1 + i)^−n), i = rate ÷ 12
each month: interest = balance × i (to the cent); principal = payment − interest

Extra payments

Extra principal early in a loan saves the most interest: $50 a month on $150,000 at 5.45% over 25 years saves about $14,700 and 2.5 years.

Questions

What is the payment on $200,000 at 6% for 15 years?

$1,687.71 a month.

Formulas

payment = P × i ÷ (1 − (1 + i)^−n), i = rate ÷ 12
each month: interest = balance × i (to the cent); principal = payment − interest

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