What this calculator does
This is a standard fixed-rate, fully-amortising loan calculator. You enter the loan amount (principal), the annual interest rate (APR), and the term in years. We solve for the per-period payment that pays the loan to zero at the end of the term, then build the full amortisation schedule row by row — how much of each payment is interest, how much is principal, and what the remaining balance is after every payment.
The math is the textbook annuity formula: P × r × (1 + r)n / ((1 + r)n − 1), where P is the principal, r is the per-period rate (annual rate divided by payments per year), and n is the total number of payments. We handle the zero-interest edge case ( r = 0, payment is simply principal ÷ n) so interest-free promotional loans don't crash the calculator.
Reading the result cards
- Per-period payment: the fixed amount you owe at every payment date for the life of the loan. Monthly by default; bi-weekly and weekly are also supported because many North American mortgages bill that way.
- Total interest: the sum of the interest column over the whole schedule — the dollar (or euro, pound, rupee, dirham) cost of borrowing, on top of the principal you actually received.
- Total repaid: total interest plus principal. The aggregate amount of money that will leave your account.
- Payoff time: the term in years (and months if extra payments shorten it).
Why total interest is so high on long loans
Amortising loans front-load interest. In the early years of a 30-year mortgage the interest portion of each payment dwarfs the principal portion — that's why the balance barely moves in year 1 even though you're paying every month. The amortisation chart above visualises this directly: the green line (remaining balance) is almost flat at first, then steepens. The amber band below it is cumulative interest paid — that's how much you owe the bank, on top of the principal.
A €200,000 loan at 5% over 30 years has a monthly payment of about €1,073.64. Multiply by 360 payments and you've paid €386,511 — of which €186,511 is interest. That's nearly the principal, paid again, just for the privilege of borrowing.
How much does an extra payment really save?
The “extra principal payment” field is the most impactful feature on this calculator. Even a small monthly extra — say €100 to €200 — shortens a long mortgage by years and saves five-figure sums in interest. The savings panel shows you the exact numbers: interest saved versus the no-extras baseline, and how many months earlier you finish the loan.
On the example above (€200,000 / 5% / 30y), an extra €200 per month cuts roughly 7 years off the loan and saves around €60,000 in interest. The intuition: every extra euro of principal you pay today is one less euro the bank charges you interest on for the rest of the loan. The earlier you pay it, the more interest is cancelled.
Bi-weekly payments — the “free year” trick
Many North American mortgages let you switch from monthly to bi-weekly payments. The trick: there are 26 two-week periods in a year, not 24 — so you effectively make 13 monthly payments per year instead of 12. The extra payment goes entirely to principal. Switching frequency in our calculator and keeping the same APR + term lets you see the effect concretely without changing your headline payment amount.
Limits — what this calculator does not model
- Variable rates. ARMs (US), trackers (UK), and euribor-indexed mortgages (EU) all reset periodically. Use this calculator with the current rate to see the schedule that would apply if the rate stayed fixed.
- Insurance, taxes, escrow. US mortgage statements usually bundle property tax and homeowners insurance into the monthly payment via an escrow account. We model interest + principal only.
- Origination fees, points, MIP / PMI.Closing costs and mortgage insurance premiums sit outside the amortisation formula. Subtract them from the principal you receive — or add them to the principal you owe — depending on how they're structured.
- Day-count conventions. We assume equal periods. Some lenders use Actual/360 day-count for daily interest accrual, which can change the total interest by a few percent.
- Tax effects. Mortgage interest is tax-deductible in some jurisdictions (US itemised deductions, some EU countries). The total-interest figure here is pre-tax.
Reconciling against a real loan statement
If you're cross-checking a lender's actual schedule against the math here and the numbers are close but not identical, it's almost always one of the items above — most often day-count or escrow. Drop the lender's statement PDF into our main bank statement converter first to pull out the actual interest line items, then compare the cumulative interest column from our schedule against the per-payment numbers on the statement.
For analysing the cost of a credit line (not a fixed amortising loan) try the interest rate calculator instead — it's the right tool for revolving-credit / daily compounding products.