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Amortized Loan Calculator

Calculate monthly payments and create an amortization schedule for any loan. Shows how each payment reduces principal and interest.

Monthly Payment
$536.82
Total Payments
360
Total Interest
$93255.78
Total Payment
$193255.78

Remaining Balance Over Time

  • Remaining Balance

Principal vs Interest

  • Principal
  • Interest

Amortized loan calculator

Formula

Monthly payment:

M=P×r(1+r)n(1+r)n−1M = P \times \frac{r(1+r)^n}{(1+r)^n - 1}

Where:

  • M = monthly payment
  • P = principal loan amount
  • r = monthly interest rate (annual rate ÷ 12)
  • n = total number of payments (loan term in months)

Worked example

Calculate the monthly payment for a $200,000 loan at 5% annual interest over 30 years (360 months):

  1. r = 5% ÷ 12 = 0.004167
  2. n = 30 × 12 = 360
  3. M = 200,000 × [0.004167(1.004167)³⁶⁰] / [(1.004167)³⁶⁰ - 1]
  4. M = 200,000 × 0.005368 / 1.647
  5. M = $1,073.64

How to use

  1. Enter the loan amount
  2. Enter the annual interest rate
  3. Enter the loan term in years
  4. Click "Calculate" to see the monthly payment

Amortization schedule

Each monthly payment consists of:

  • Interest portion: Remaining balance × monthly rate
  • Principal portion: Monthly payment - interest portion

The principal portion increases over time as the balance decreases.

Total cost

total paid=M×n\text{total paid} = M \times ntotal interest=total paid−P\text{total interest} = \text{total paid} - P

Common use cases

  • Mortgage planning
  • Auto loan calculations
  • Personal loan estimates
  • Debt payoff planning
  • Refinance analysis

FAQ

Can I calculate for different terms? Yes, change the loan term to see how it affects the payment.

How do extra payments help? They reduce the principal faster, lowering future interest and shortening the loan term.

What about bi-weekly payments? Paying half the monthly payment every two weeks results in one extra payment per year, speeding up payoff.

Can I calculate an interest-only loan? No, this calculator is for fully amortizing loans.

How does credit score affect the rate? Higher credit scores typically qualify for lower interest rates.

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