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Loan Repayment Calculator

Enter your desired monthly payment to find exactly when your loan will be paid off and total interest paid. Works for any loan type with custom repayment amounts.

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Educational purpose only. Results are estimates based on standard formulas. This calculator does not constitute financial, tax, legal, or medical advice. For decisions affecting your personal finances or health, consult a qualified professional. How we ensure accuracy →

About the Loan Repayment Calculator

A loan repayment calculator works backwards from your desired monthly payment to tell you exactly how long it will take to pay off any loan and how much total interest you will pay over that period. Unlike a standard loan calculator that fixes the term and finds the payment, a repayment calculator lets you set the payment amount and then reveals the consequences: if I pay $600 per month on this $25,000 loan at 8%, when will it be paid off? This reverse approach is far more useful for people managing a specific monthly budget who want to understand the financial outcomes of their spending decisions in real time. The tool works for any type of loan with a fixed interest rate: personal loans, car loans, student loans, credit card balances, home improvement loans, or any other instalment debt. Whether you are in the United States, Canada, the United Kingdom, Australia, or New Zealand, the underlying mathematics of loan repayment is identical, though the products and interest rate environments differ significantly by country. In Australia and the UK, personal loan rates in 2025 typically range from 6% to 18% depending on the lender and borrower profile. In the US, personal loan rates from banks and credit unions range from 7% to 25%. Canadian rates from major banks typically sit between 5% and 20%. New Zealand personal loan rates commonly sit in the 10% to 20% range. These differences have a meaningful impact on total interest cost: a $20,000 loan at 8% over 4 years costs approximately $3,400 in interest, while the same loan at 18% over the same term costs nearly $8,400. Knowing your total interest cost upfront is not just financially educational, it is a powerful motivator for either negotiating a better rate, paying down debt faster, or choosing a less expensive borrowing option. The repayment calculator also provides one of its most important functions: the minimum viable payment warning. Every loan has a minimum monthly payment that simply covers the accruing interest without reducing the principal. For a $20,000 loan at 12% annual interest, the monthly interest charge is $200. Any payment at or below $200 per month means the balance never shrinks. This situation, sometimes called a debt trap, is common with credit card minimum payments and certain revolving credit facilities. Our calculator detects this immediately and warns you when your payment is insufficient to ever retire the debt. For most borrowers, the most important discovery from a repayment calculator is the enormous difference between the minimum payment and a modestly higher payment. Increasing a payment by $100 or $200 per month can cut years off the loan term and save thousands in interest. This awareness is one of the simplest and most powerful levers available to any borrower. This calculator is not a substitute for professional financial advice. Interest rates, loan terms, and individual circumstances vary significantly. Always consult a licensed financial adviser before making major borrowing decisions.

Formula

Months = -ln(1 - P x r / PMT) / ln(1 + r) | Minimum viable payment > P x (annual rate / 12) | Total interest = (PMT x months) - P | Monthly interest = balance x (annual rate / 12)

How It Works

The payoff timeline formula is derived from the present value of annuity equation, solved for the number of periods. The formula is: Months to payoff equals negative ln of (1 minus P times r divided by PMT) divided by ln of (1 plus r), where P is the loan balance, r is the monthly interest rate (annual rate divided by 12), and PMT is the monthly payment. A critical constraint must be met: PMT must be strictly greater than P times r, meaning your monthly payment must exceed the monthly interest charge, or the loan never pays off. Example: $20,000 loan at 8% annual rate, $500 per month payment. Monthly rate r equals 0.08 divided by 12 equals 0.006667. Monthly interest charge equals $20,000 times 0.006667 equals $133.33. Since $500 exceeds $133.33, the loan can be repaid. Months equals negative ln(1 minus 20,000 times 0.006667 divided by 500) divided by ln(1.006667). This gives approximately 46.7 months, roughly 3.9 years. Total paid equals approximately $23,350. Total interest equals $3,350. Now increasing the payment by $100 per month to $600: recalculating yields approximately 37.5 months, a saving of 9 months and around $800 in interest. This demonstrates how even modest extra payment increases create disproportionately large reductions in both time and total cost. The calculator runs month by month: each month, interest accrues on the current balance, your payment is applied, and the balance falls by the difference. This continues until the balance reaches zero, at which point the final month's payment may be smaller than your normal payment. The schedule is displayed so you can see your balance trajectory at any point.

Tips & Best Practices

  • Always check the minimum viable payment before setting a repayment target. For a $30,000 loan at 12% APR, the minimum monthly interest charge is $300. Any payment at or below $300 per month means the balance grows, never shrinks. The calculator flags this condition automatically and prevents you from setting an unworkable payment target.
  • Rounding your payment up to the next hundred dollars is one of the most underrated debt repayment strategies. On a $15,000 car loan at 6.5%, rounding from $293 to $300 per month saves three months and approximately $190 in interest at virtually zero additional monthly cost. The small extra amount reduces principal faster from the first payment.
  • A bi-weekly payment strategy for simple interest loans is highly effective: paying exactly half your monthly payment every two weeks results in 26 half-payments per year, equivalent to 13 full monthly payments instead of 12. On a $25,000 personal loan at 8%, this strategy alone can shave nearly 10 months from the loan term without any increase in total monthly outlay.
  • The avalanche method for multiple debts directs all extra repayment budget to the highest-interest-rate balance first while making minimum payments on all others. This approach minimises total interest mathematically. Use this calculator to project the payoff timeline for each individual debt so you can sequence your strategy and visualise each debt freedom date in order.
  • Applying windfalls such as tax refunds, bonuses, or gifts directly to loan principal delivers compounding interest savings for the entire remaining life of the loan. A $2,000 tax refund applied to a $20,000 loan at 8% in year one saves approximately $700 in total interest and shortens the repayment by about four months.
  • Income-driven repayment plans for US federal student loans, such as SAVE, IBR, and PAYE, set payments as a percentage of discretionary income rather than a fixed dollar amount and are not modelled by this calculator. For federal student loan projections under those programs, use the official studentaid.gov Loan Simulator, which accounts for forgiveness timelines and income recertification.
  • When comparing the value of extra mortgage or loan payments against investing that money instead, the correct comparison is your after-tax loan interest rate versus your expected after-tax investment return. If your loan rate is 8% and your expected investment return is 7%, paying down the loan is mathematically superior and risk-free. This calculator helps you quantify exactly what each extra dollar of payment saves in interest.
  • Refinancing to a lower interest rate can dramatically reduce total interest paid, but the savings need to exceed any break fees, establishment fees, or exit costs. Model your payoff timeline at both the current rate and the proposed refinanced rate using this calculator to determine whether refinancing creates a genuine saving over your expected remaining loan term.

Who Uses This Calculator

Borrowers with existing personal loans or car loans use this calculator when setting their monthly budget to determine how quickly they can eliminate the debt and how much interest they will pay in total, enabling them to make an informed decision about whether to accelerate repayment. People considering a new loan use it to model how different payment amounts translate into different payoff timelines, helping them choose a payment that balances monthly affordability with minimising total interest cost. Credit card holders who have accumulated significant balances use the repayment calculator to understand the devastating effect of paying only the minimum payment versus a fixed monthly amount, which often reveals that minimum payments result in 10 to 20 years of repayment on a balance that could be cleared in 3 to 4 years with a modest fixed payment. Financial coaches and debt counsellors use this calculator with clients to create realistic debt freedom timelines, helping clients visualise the date on which each debt will be cleared and prioritise their repayment strategy accordingly. Small business owners managing business loans or lines of credit use it to project cash flow implications of debt repayment under different revenue scenarios. Australians and New Zealanders on personal loan or car finance agreements use it to understand the consequences of making fortnightly rather than monthly payments, which results in one additional payment per year and a meaningfully shorter loan term at no change in monthly budget.

Optimised for: USA · Canada · UK · Australia · Calculations run in your browser · No data stored

Frequently Asked Questions

What is the minimum payment to pay off a loan?

The minimum payment must exceed the monthly interest charge: Min PMT > Principal × (annual rate / 12). Any payment at or below this amount will never retire the loan — the balance grows indefinitely.

How does the loan payoff formula work?

Months to payoff = -ln(1 - P×r/PMT) / ln(1+r), where P is balance, r is monthly rate, PMT is payment. Doubling a payment more than halves the payoff time because extra principal eliminates future interest.

How much extra payment is worth making?

Even $50/month extra on a $20,000 loan at 8% cuts repayment by about 12 months and saves $800 in interest. The benefit is front-loaded: extra early payments save disproportionately more than later ones.

What is the difference between a repayment calculator and a loan calculator?

A standard loan calculator fixes the term and finds the payment. A repayment calculator does the reverse: you set the payment amount and it finds how long until the loan is paid off — useful for budgeting with a target payment in mind.

How can I pay off my student loans faster?

For federal loans, income-driven repayment sets payments but extends terms. For faster payoff: choose Standard Repayment (10-year), make extra payments directly to principal, and refinance if you qualify for a lower rate through a private lender.