How it's calculated
An amortization schedule lists every payment on a fixed-rate loan and splits each one into interest and principal. Interest is charged on the balance you still owe, so early payments are mostly interest and later payments are mostly principal.CFPB
Extra payments go straight to principal. That lowers the balance the next month's interest is charged on, so the loan is paid off sooner and the total interest falls. The calculator runs the schedule twice, once as scheduled and once with your extra payments, and compares them.
The formula
- Monthly payment = L × r ÷ (1 − (1 + r)−n), where L is the loan amount, r the annual rate ÷ 12 and n the number of months. At 0% it is L ÷ n.
- Each month: interest = balance × annual rate ÷ 12, rounded to the cent; principal = payment − interest; new balance = balance − principal − any extra payment.
- Last payment = whatever balance is left plus that month's interest, so the loan ends at exactly $0.
- Interest saved = total interest on the scheduled loan − total interest with extra payments.
This month-by-month method is the one HUD publishes for its mortgage insurance premium calculation, and our tests reproduce HUD's example balances to the cent.HUD The Federal Reserve's refinancing guide gives a similar illustration: adding $50 a month to a $200,000, 30-year loan at 6% cuts about three years and more than $27,000 of interest.Federal Reserve Board
Worked example
A $300,000 loan at 6.5% for 30 years has a payment of $1,896.20 and costs $382,637 in interest if you pay it as scheduled.
Adding $200 a month saves $103,450 and finishes the loan 6 years 11 months early.
| Line | Scheduled | With extra |
|---|---|---|
| Monthly payment (P&I) | $1,896 | $1,896 |
| Extra principal paid | $0 | $55,200 |
| Total interest | $382,637 | $279,187 |
| Total paid | $682,637 | $579,187 |
| Interest saved | $0 | $103,450 |
A single $10,000 payment with payment 12 instead saves $50,230.
Assumptions and limitations
- Fixed rate, fixed payment. Adjustable-rate loans recalculate the payment when the rate changes.
- Extra payments go to principal the month you make them. Servicers can apply extra money differently (for example, to next month's payment), so ask them to apply it to principal.
- No prepayment penalty. Some loans charge one for paying early; check your Loan Estimate or note.
- Principal and interest only. Taxes, insurance and mortgage insurance in escrow are not part of the schedule; the mortgage calculator adds them.
- The monthly table shows the first 60 payments; the yearly table covers the whole loan.