OnSumo Tools

How Long Does It Take to Pay Off a Loan?

How long it takes to pay off a loan depends on four numbers: your current balance, your interest rate, your monthly payment, and any extra principal payments. If you want the fastest answer for your own numbers, use the OnSumo loan payoff calculator or the loan calculator first, then use the formula below to understand why the payoff date moves.

What determines how long a loan takes to pay off?

Quotable: Loan payoff time is determined by your remaining balance, APR, payment amount, and any extra money applied to principal. The balance sets the starting point. The APR determines how much interest builds each month. Your payment determines how much is left after interest to reduce principal. Extra payments change the timeline because they reduce the balance sooner, which lowers future interest charges too. Two loans with the same balance can have very different payoff dates. A $25,000 loan at 6% with a $500 monthly payment pays off in about 58 months, or 4.8 years. The same $25,000 loan at the same rate with a $600 payment pays off in about 47 months, saving roughly 11 months and about $736 in interest. Rate matters too. A $10,000 loan at 8% with a $250 payment takes about 47 months to clear. A $30,000 loan at 9% with a $350 payment takes about 138 months, or 11.5 years, because more of each payment gets absorbed by interest early on. If you need a refresher on why that happens, the compound interest explainer and the mortgage amortization guide show the same balance-and-interest mechanic from two angles.

The loan payoff formula

Quotable: The standard payoff formula calculates the number of months required when you know the balance, monthly interest rate, and fixed monthly payment. For a fixed-rate amortizing loan, the number of months to payoff is: n = -ln(1 - rB / P) / ln(1 + r) Where: - n = number of monthly payments left - r = monthly interest rate (APR divided by 12) - B = current loan balance - P = monthly payment Example: balance of $10,000, APR of 8%, monthly payment of $250. - Monthly rate = 0.08 / 12 = 0.006667 - Formula result = about 46.7 months - Rounded to a real payment schedule = 47 months There is one hard limit here: if your monthly payment is less than or equal to the interest charged each month, the balance will not fall on a normal amortizing schedule. That is why the formula breaks when P is less than or equal to rB. You are covering interest only, or not even that. If you want the payment instead of the months, use the standard amortization formula shown in the mortgage amortization calculator. If you want to test different payoff dates without doing the algebra each time, the loan payoff calculator is faster.

How extra payments shorten the payoff timeline

Quotable: Extra payments shorten a loan because every added dollar goes to principal first and reduces all future interest on that dollar. The effect is bigger than most borrowers expect because interest is recalculated on the remaining balance each month. Lower the balance now, and every future month gets cheaper. Use the same $25,000 loan at 6% APR: That extra $100 per month cuts about 11 months off the loan and saves about $736 in interest. The gain comes from the early months, when interest charges are still relatively high. CFPB guidance on prepayments makes the same point in plain language: paying more than the monthly minimum can reduce the balance faster, but you should confirm the servicer applies the extra amount to principal. This is also why a small recurring extra payment often matters more than a one-time larger payment made late in the term. The earlier you reduce principal, the more future interest you avoid.

Monthly paymentPayoff timeTotal interest
$50058 monthsabout $3,840
$60047 monthsabout $3,104

What happens when you only make minimum payments?

Quotable: Minimum payments stretch the payoff timeline because they leave only a small amount each month to reduce principal after interest is charged. This is where borrowers underestimate the math. On high-rate debt, a minimum or near-minimum payment can keep you in repayment for years longer than expected. Example: a $5,000 balance at 22% APR with a $100 monthly payment takes about 137 months, or 11.4 years, to pay off. Total interest is about $8,678, which is more than the original balance. If the payment falls close to the monthly interest charge, the payoff date gets pushed out even further. The CFPB requires credit card statements to show how long repayment can take at the minimum because most people do not see the full cost from the monthly bill alone. That disclosure exists for a reason: small payments make the balance decline very slowly. If your goal is a faster payoff, the first question is not "What is the lowest payment I can get away with?" It is "How much principal am I actually reducing each month?"

Use a loan payoff calculator to model your exact scenario

Quotable: A loan payoff calculator is the fastest way to test how changes in payment size, rate, or extra principal shift your payoff date and total interest. The formula is useful once. A calculator is useful every time your inputs change. Start with your remaining balance, APR, and current payment. Then test one change at a time: 1. Increase the payment by $50 or $100. 2. Add a fixed extra principal payment each month. 3. Compare a shorter term versus a lower payment. 4. Check how much interest you save, not just how many months you save. The OnSumo loan payoff calculator is built for that exact job. If your loan behaves more like a long-term amortizing schedule, the mortgage amortization calculator shows the month-by-month split between interest and principal. If you are comparing payoff versus investing, the compound interest calculator helps you model the growth side of the tradeoff. For any finance tool on OnSumo, the benefit is not one canned answer. It is being able to test your actual numbers until the payoff plan fits your budget.

Reviewed by Yaver Abbas, Finance Tools Product Developer

Yaver built and maintains the OnSumo finance calculator suite and has verified the underlying formulas and tax data against primary sources. Methodology: Worked examples in this article use the standard fixed-rate amortization formula for monthly payments and the standard payoff-time formula for remaining months. Example payoff timelines and interest totals were calculated using month-by-month amortization math with fixed rates and no fees, penalties, or new borrowing.

Frequently Asked Questions

Can you pay off a loan early without a penalty?

Many fixed-rate personal, auto, student, and mortgage loans allow early payoff, but some lenders still use prepayment penalties or special payoff rules. Check your loan agreement or servicer statement before sending large extra payments. If a penalty exists, compare it against the interest you would save.

Why does a lower interest rate reduce payoff time even if the payment stays the same?

A lower rate means less of each payment goes to interest and more goes to principal. When principal falls faster, the next month's interest charge falls too. That shortens the schedule even if you never change the payment amount.

Is payoff time based on APR or APY?

Loan payoff math usually starts with the APR because that is the borrowing rate quoted on loans and credit cards. For month-by-month payoff calculations, you convert APR to a periodic rate, usually by dividing by 12 for monthly payments.

What if my payment changes every month?

The closed-form payoff formula assumes a fixed payment. If your payment changes, the better approach is a calculator or an amortization table that reruns the balance month by month. That is also the safer method for extra payments, irregular overpayments, or refinance scenarios.