Loan Calculator

Calculate monthly payments and total interest for any fixed-rate loan.

Inputs

$
%

Results

Monthly Payment
$1,581.59
Total Payment
$284,685.71
Total Interest
$84,685.71

Formula

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where M = monthly payment, P = loan amount, r = monthly interest rate (annual/12), n = total number of payments (years × 12). For zero interest: M = P/n.

Worked Example

Loan: $200,000 Rate: 4% Term: 30 years r = 0.04/12 = 0.003333 n = 360 M = 200,000 × [0.003333 × 1.003333^360] / [1.003333^360 - 1] M = $954.83/month Total paid: $343,739 Total interest: $143,739

When to Use This Calculator

Use this for any fixed-rate loan: auto loans, personal loans, student loans, or business loans. Enter the loan amount, interest rate, and term to see your monthly payment.

Important Assumptions

  • Fixed interest rate for the entire term.
  • Equal monthly payments (fully amortizing).
  • No extra payments, fees, or prepayment penalties.

Common Mistakes to Avoid

  • Forgetting that a longer term means lower payments but more total interest.
  • Not comparing total cost (principal + interest), only monthly payment.
  • Ignoring fees that affect the true cost of borrowing.

Frequently Asked Questions

How is the amortization schedule calculated?

Each month, interest is calculated on the remaining balance. The rest of the payment goes toward principal. Over time, a larger portion goes to principal as the balance decreases.

Why does the final payment differ slightly?

Rounding during the schedule can leave a tiny remaining balance. The final payment is adjusted to bring the balance to exactly zero.

What affects my monthly payment most?

The loan amount has the largest impact, followed by the interest rate, then the term length. Even a small rate change can significantly affect total interest over long terms.

Related Calculators

Methodology: This calculator uses standard financial formulas documented above. All calculation engines are unit-tested for accuracy.View full methodology
Disclaimer: This calculator provides estimates for educational purposes only. Results do not constitute financial advice.Full disclaimer