Finance

How an Amortization Schedule Works, Row by Row

What each column of an amortization schedule means, a complete 12-month schedule, a 30-year mortgage at 6.5% in selected rows, and what extra payments and a shorter term change.

By TooleemPublished Facts checked

Short answer

An amortization schedule lists every payment on a loan and splits it into interest (the monthly rate times the balance still owed) and principal (the rest of the payment, which lowers the balance). The payment stays the same, but the split moves: on a $300,000 mortgage at 6.5% for 30 years, the first $1,896.20 payment is $1,625.00 interest and only $271.20 principal, and principal overtakes interest only in payment 233, almost 20 years in. That is why extra payments early in a loan save the most interest.

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On this page
  1. What each column means
  2. A complete schedule, row by row
  3. A 30-year mortgage: the same pattern, stretched
  4. What changes the schedule

What each column means

The columns of a standard amortization schedule
ColumnHow it is worked out
Payment number1 to the number of months (360 for 30 years)
Opening balanceWhat you still owe before this payment
PaymentFixed: P × r ÷ (1 − (1 + r)^−n)
InterestOpening balance × monthly rate (annual rate ÷ 12)
PrincipalPayment − interest
Closing balanceOpening balance − principal; it becomes next month’s opening balance

Monthly payment

payment = P × r ÷ (1 − (1 + r)^−n)

P is the amount borrowed, r the monthly rate as a decimal and n the number of payments. Taxes and insurance that a lender collects with a mortgage payment are not part of this schedule.

A complete schedule, row by row

Swipe sideways to see every column.

$10,000 borrowed at 7% a year, repaid monthly over 12 months
No.Opening balancePaymentInterestPrincipalClosing balance
1$10,000.00$865.27$58.33$806.94$9,193.06
2$9,193.06$865.27$53.63$811.64$8,381.42
3$8,381.42$865.27$48.89$816.38$7,565.04
4$7,565.04$865.27$44.13$821.14$6,743.90
5$6,743.90$865.27$39.34$825.93$5,917.97
6$5,917.97$865.27$34.52$830.75$5,087.22
7$5,087.22$865.27$29.68$835.59$4,251.63
8$4,251.63$865.27$24.80$840.47$3,411.16
9$3,411.16$865.27$19.90$845.37$2,565.79
10$2,565.79$865.27$14.97$850.30$1,715.49
11$1,715.49$865.27$10.01$855.26$860.23
12$860.23$865.25$5.02$860.23$0.00
Total interest: $383.22. The last payment is two cents lower because each month’s interest is rounded to the cent.

Worked example

Reading row 1

interest = $10,000.00 × 0.07 ÷ 12 = $58.33

principal = $865.27 − $58.33 = $806.94

closing balance = $10,000.00 − $806.94 = $9,193.06

A 30-year mortgage: the same pattern, stretched

Swipe sideways to see every column.

$300,000 at 6.5% for 30 years: monthly payment $1,896.20, selected rows
PaymentYearInterestPrincipalBalance after
11$1,625.00$271.20$299,728.80
121$1,608.40$287.80$296,646.88
605$1,523.20$373.00$280,833.26
12010$1,380.41$515.79$254,329.14
18015$1,182.96$713.24$217,678.77
24020$909.91$986.29$166,997.98
30025$532.35$1,363.85$96,915.68
36030$10.24$1,890.67$0.00
Total interest over 30 years: $382,636.71, more than the amount borrowed. Because interest is rounded to the cent every month, the final payment here is $1,900.91, $4.71 more than the regular payment.
  • After 10 years of payments you still owe 85% of the loan ($254,329 of $300,000).
  • Principal becomes the larger part of the payment only from payment 233 (year 20).
  • Half the loan is repaid only after payment 257, about 21 years and 5 months in.

What changes the schedule

The $300,000, 6.5% mortgage under three repayment choices
ChoiceMonthly paymentMonths to repayTotal interest
30 years, as agreed$1,896.20360$382,637
30 years plus $100 a month toward principal$1,996.20312about $321,640
15-year loan at the same rate$2,613.32180$170,398
The extra $100 saves about $61,000 of interest and four years. A 15-year loan often carries a lower rate too, which would cut its interest further.

An extra payment applied to principal shortens the loan, because every later interest charge is calculated on a smaller balance. Ask the lender to apply it to principal rather than to the next payment, and check that there is no prepayment penalty.

Common mistake

When the schedule is not this simple

Adjustable-rate loans recalculate the schedule when the rate resets. Interest-only periods have no principal at all. Some lenders compute interest daily, so a payment made a few days late shifts a little more of it to interest. Your lender’s schedule is the one that counts.

Do the calculation

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Build the full schedule for your own loan amount, rate and term, and see the total interest before you sign.

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Tools used in this guide

Sources

The figures and rules in this guide come from these documents.

  1. What is amortization and how could it affect my auto loan?Consumer Financial Protection BureauDefinition of amortization and of the amortization schedule; more interest early, more principal later.
  2. How does paying down a mortgage work?Consumer Financial Protection BureauHow each payment splits between principal and interest; taxes and insurance collected separately.

Facts checked

General information, not legal, tax or financial advice. Rules change; check the cited sources for your own case.

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