Loan Payoff Calculator

The calculator uses the standard amortizing loan formula: PMT = P × i / (1 − (1+i)^−n), where P is your loan balance, i is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments. Each month, interest accrues on the remaining balance, your payment covers that interest first, and the remainder reduces the principal. The schedule repeats until the balance reaches zero.

Amortization means paying off a debt through a series of fixed, equal payments over time. Each payment blends interest and principal in shifting proportions: early payments are mostly interest; later payments are mostly principal. A fully amortizing loan reaches a zero balance at the end of the agreed term.

Extra payments go entirely toward reducing your principal, which shrinks the balance on which future interest is calculated. Even modest extra amounts compound this benefit over time. For example, paying an extra $200/month on a $200,000 loan at 6% for 30 years cuts the payoff from 360 months to 252 months (saving 9 years) and reduces total interest from about $231,676 to $151,876 — saving roughly $79,800.

APR (Annual Percentage Rate) is the nominal yearly rate quoted by lenders. The monthly interest rate used in payment calculations is simply APR ÷ 12. For example, a 6% APR gives a monthly rate of 0.5% (0.005). Note that the effective annual rate (EAR) from monthly compounding is (1.005)^12 − 1 ≈ 6.168%, but the payment formula uses the nominal monthly rate, not the EAR.

Because interest is calculated on the outstanding balance, which is highest at the start of the loan. As you make payments, the balance falls, so the interest portion of each payment shrinks and the principal portion grows. This is normal amortization behavior, not a bank fee.

Yes. The loan payoff math (PMT = P × i / (1 − (1+i)^−n)) is currency-agnostic — it works identically for USD, EUR, GBP, INR, or any other currency. Simply enter your loan amount and payment figures in your local currency and interpret the results in the same currency.

At 0% interest no interest accrues, so the required monthly payment is simply your loan amount divided by the number of months in the term. For a $12,000 loan over 36 months that is $333.33/month. The standard formula requires a special-case branch at i = 0 to avoid division by zero; well-implemented calculators handle this automatically.

No. The calculator models interest-only amortization: principal and interest payments only. Origination fees, mortgage insurance premiums (MIP/PMI), property taxes held in escrow, and homeowner’s insurance are not included. Your actual monthly payment from a lender will typically be higher than the figure shown here because of these additional costs.

Enter your current outstanding balance (not the original loan amount) as the loan amount, enter your current interest rate and the number of remaining years, and leave the extra payment at zero. The calculator will show you the number of remaining months, total remaining interest, and your scheduled payment — which should match your actual payment (any small difference is rounding).

If you know your fixed payment PMT and want to find how many months n it takes to pay off principal P at monthly rate i, the closed-form formula is: n = −ln(1 − P × i / PMT) / ln(1 + i). This requires PMT > P × i (otherwise the payment does not cover the first month’s interest and the loan grows rather than shrinks). This is the algebraic inverse of the standard amortization payment formula.

They are mathematically similar but not identical. One extra annual payment of 1/12 of your PMT is equivalent on average to paying an extra PMT/12 each month. The monthly-extra approach is slightly more effective because the extra principal reduces your balance earlier in the year, lowering interest accrual for the remaining months. Both strategies meaningfully shorten your loan term.

The calculator accepts loan amounts up to 100 million, annual rates from 0% to 100%, and terms from 1 to 50 years. These bounds cover virtually all real-world residential, auto, and personal loans. Very high rates combined with long terms can produce extreme total interest figures but the math remains valid. An extra payment exceeding the monthly balance will simply pay off the loan in that period.

A biweekly payment means paying half your monthly payment every two weeks. Because there are 52 weeks in a year, you end up making 26 half-payments — equivalent to 13 full monthly payments instead of the usual 12. That one extra payment per year goes entirely to principal and can cut several years off a 30-year mortgage. For a $200,000 loan at 6% the extra payment is about $1,199 a year, which our savings table shows saves roughly $14,000–$17,000 in interest and shaves 3–4 years off the term (similar to the $100/month-extra row). Check whether your lender applies biweekly payments immediately or holds them to month-end — the timing matters.

It depends on the guaranteed rate you are eliminating versus the expected return on the alternative. Paying down a 6–7% mortgage is a guaranteed 6–7% after-tax return on that dollar. If your best alternative (after tax) is expected to return more — a broad stock index fund has historically returned 7–10% annually before inflation — investing may come out ahead mathematically. But the loan payoff delivers a certain outcome; investment returns are not. Practical guidance: (1) always pay off high-rate debt (credit cards, payday loans) first; (2) capture any employer 401(k)/pension match before extra loan payments; (3) build a 3–6 month emergency fund first; (4) then weigh loan payoff against investing based on your rate and risk tolerance. There is no single right answer — the peace of mind from a paid-off loan is real and has value.