Utilify

Loan Calculator

Calculate monthly payments, total interest, and full amortization schedule for any loan.

How to use Loan Calculator

  1. 1
    Enter loan details

    Loan amount, annual interest rate, and term in years.

  2. 2
    See payment

    Monthly payment, total interest, and total cost calculate instantly.

About Loan Calculator

Whether you are buying a car, taking on student debt, or financing any major purchase, understanding what monthly payments actually cost — and how much of that money goes to interest versus principal — is the single most important number in personal finance. The standard amortizing-loan formula assumes equal monthly payments where the interest portion shrinks as the principal balance falls. Early payments are mostly interest; later payments are mostly principal.

Utilify's calculator gives you the monthly payment, total interest paid over the life of the loan, and total amount paid (principal + interest). The formula used is P × r × (1+r)ⁿ / ((1+r)ⁿ − 1), where P is the principal, r is the monthly interest rate, and n is the number of payments. Note: this is the base principal-and-interest payment. For mortgages, you also need to add property tax, insurance, and possibly PMI — for that use the dedicated Mortgage Calculator.

The reason early payments feel like they barely dent the balance is amortization. In month one, interest is charged on the entire principal, so most of your payment covers interest and only a sliver reduces what you owe. As the balance falls, the interest slice shrinks and the principal slice grows, accelerating toward the end. Seeing the totals makes the real cost of a long term obvious: stretching a loan over more years lowers the monthly payment but can dramatically increase the total interest you pay.

The term you choose is the biggest lever after the rate itself. A 4-year auto loan has higher monthly payments than a 6-year loan on the same amount, but the 6-year version can cost hundreds or thousands more in total interest. Running both side by side turns an abstract trade-off into concrete dollars, which is exactly the comparison you want before signing.

One distinction to keep in mind: the interest rate is not the same as the APR. APR folds in certain fees and points to reflect the true annualized cost of borrowing, so it is usually slightly higher than the nominal rate. This calculator works from the interest rate you enter; when comparing real lender offers, compare their APRs, since that figure captures costs the monthly-payment math alone does not.

When to use Loan Calculator

  • Car loan comparison

    Compare a 4-year vs 6-year auto loan to see how the term affects total interest paid.

  • Student loan planning

    See how an extra $100/month in payments changes total interest over a 10-year term.

  • Refinance decisions

    Compare current loan terms to a refinance offer to see the actual dollar savings.

Frequently asked questions

Which formula is used?+

The standard amortizing-loan formula: P × r × (1+r)ⁿ / ((1+r)ⁿ − 1), where P is the principal, r is the monthly interest rate, and n is the number of payments.

Does it include fees or insurance?+

No — this is the base principal-and-interest payment. Taxes, insurance, origination fees, and PMI are not included. For home loans, use the Mortgage Calculator.

What is the difference between interest rate and APR?+

The interest rate is the cost of borrowing the principal; the APR also folds in certain fees and points, so it is usually a bit higher and better reflects the true annual cost. Compare lender offers by APR.

Why do early payments barely reduce the balance?+

Because of amortization: interest is charged on the full remaining balance, so early payments are mostly interest and only a small part reduces principal. The principal portion grows as the loan progresses.

How does a longer term affect the cost?+

A longer term lowers the monthly payment but increases the total interest paid, sometimes substantially. Comparing two terms side by side shows the real dollar trade-off.

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