Loan Calculator
Compute monthly payment, total interest, and full amortization schedule for any loan. Fixed-rate, simple-interest, principal+interest. Browser-only.
What is this for?
For any fixed-rate loan — mortgage, car, personal — the monthly payment, total interest, and balance trajectory are fully determined by three numbers: principal, rate, and term. This tool computes all of them and renders the month-by-month amortization schedule so you can see exactly where each payment goes. The extra-payment slider lets you check the impact of paying a little above the required amount, which on a mortgage often shortens the loan by years.
The amortization formula
For a loan of principal L at monthly rate r over n months, the fixed monthly payment P that exactly pays it off is:
P = L × r(1+r)^n / ((1+r)^n − 1)
Each month the interest accrued is balance × r; the rest of the payment chips away at principal. Early in the loan, most of the payment is interest; late in the loan, most is principal. That's why paying extra early saves disproportionately more interest than paying extra late.
When to use it
- Mortgage shopping. Compare 15-year vs 30-year terms or two different rates side by side.
- Car loans. See the real cost of a "0% APR" vs a rebate-and-finance offer.
- Personal loans / debt consolidation. Decide whether a lower rate over a longer term saves money or just spreads pain.
- Extra-payment planning. Test "$200/month extra" or "lump sum once a year" scenarios.
- Refinance check. Compute remaining interest at the current rate, then re-enter the smaller balance at the new rate and term.
Common gotchas
- APR ≠ note rate. The annual percentage rate (APR) in disclosures includes fees and points; the "note rate" here is the bare interest rate. APR is the better number for comparing loans, but the note rate is what computes your payment.
- Compounding convention. US mortgages compound monthly: monthly rate = annual / 12. Canadian mortgages compound semi-annually by law (so monthly rate is slightly different). This calculator uses simple monthly compounding — adjust if you're modelling a Canadian or unusual product.
- Escrow / impounds aren't shown. Your mortgage servicer usually adds property tax and insurance to your monthly payment and pays them on your behalf. That's not included here — see mortgage-affordability-calculator for PITI.
- Variable-rate loans. ARM, tracker, or variable-rate mortgages re-calculate after each rate change. This tool assumes a single fixed rate for the full term — useful as a "if rate stayed flat" baseline, not a forecast.
- Prepayment penalties. Some loans (esp. US auto and short-term mortgages from before 2010) charge a fee for paying extra. Read your terms before relying on the "extra payment saves Y interest" figure.
- Rounding. Banks round each monthly payment to cents and absorb the final cent or two in the last payment. Our schedule does the same — the last row's balance is forced to zero.
Expert notes
- The "interest in the early years" trap. On a 30-year fixed mortgage at 6%, the first month's payment is about 75% interest and 25% principal. The principal share only crosses 50% around year 18. People who don't internalise this are shocked to see their balance barely move in the first few years. The math is the same on every loan — the rate × balance interest charge dominates until the balance has dropped substantially.
- Extra payments are the only honest optimisation. Refinancing to "save interest" usually trades short-term cash flow for long-term interest the bank pockets via closing costs and a reset clock. Paying an extra $100/month on the principal of an existing loan is risk-free, fee-free, and saves real interest. On a $300K loan at 6%, an extra $200/month pays off the loan ~7 years early and saves ~$80K total. Run your own numbers here.
- The 1% rule for refinancing isn't universal. The folk advice "refinance if rates drop 1%" originated in 1990s low-fee environments. With modern closing costs ($3-8K), the break-even depends on how long you stay in the home. Quick test: divide closing costs by monthly savings = months to break even. If you'll move before that, the refi loses money.
- Bi-weekly payments are a marketing repackaging. "Pay 26 half-payments per year" is mathematically equivalent to making 13 monthly payments per year — i.e., one extra month per year. Bi-weekly programs often charge a setup fee for what you could do yourself by adding 1/12th of a payment to each month. Same effect, no fee.
- The opportunity-cost argument has limits. "Don't pay off a 4% loan if you can earn 8% in the market" assumes the 8% return is risk-free (it isn't), tax-equivalent (it usually isn't), and that you're disciplined enough to actually invest the difference (most people aren't). For loans at or below long-term inflation, the carry-vs-payoff math favours carrying. For loans above ~6-7%, payoff usually wins on a risk-adjusted basis.
Pairs with
- mortgage-affordability-calculator — work backwards from your income to a max price, then use this tool to see the schedule.
- percentage-calculator — quick check on rate changes (e.g. what's 6.5% × 1.1?).
- currency-converter — if you're modelling a loan in a foreign currency.