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Loan Calculator

Estimate your payment details and view a year-by-year amortization breakdown.

Reviewed for accuracy by the Math Ora X team Last updated

Regular Payment
Total Repayment
Total Interest Paid

Amortization Schedule (Annual Summary)

Year Principal Paid Interest Paid Ending Balance

Understanding Loan Amortization

When you repay a loan, your payments are split between paying off the original principal amount and the interest charged by the lender. Over time, as the outstanding balance drops, the interest portion of each payment decreases, and more goes toward principal reduction.

How to use this calculator

  1. Enter the **Loan Amount**—the initial balance you borrow.
  2. Enter the **Interest Rate**—the nominal annual rate charged.
  3. Enter the **Loan Term** in years.
  4. Select the **Payment Frequency** (Monthly, Bi-weekly, or Weekly).
  5. Click **Calculate Loan** to view the recurring payment amount, total interest costs, and annual amortization schedule.

The formulas explained

The regular payment is computed using the standard amortization formula:

$$ A = P \frac{r(1+r)^n}{(1+r)^n - 1} $$

  • A: Regular payment per period.
  • P: Principal loan amount.
  • r: Periodic interest rate (annual interest rate divided by the number of payment periods per year).
  • n: Total number of payment periods (years multiplied by periods per year).
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