Payment Calculator

Calculate loan payments, credit card payments, and installment plans.

Loan Calculator

Principal loan amount

%

Annual interest rate

Number of months

How It Works

Calculates the payment amount needed for a given loan amount, interest rate, and term.

Calculation Results

Monthly Payment

$1,264

Required payment amount

Total Interest

$255,089

Over loan term

Total Paid

$455,089

Principal + interest

Principal vs Interest

Loan Summary

Principal Amount:$200,000
Interest Rate:6.500%
Effective Annual Rate:6.697%
Loan Term:360 payments (30.0 years)
Payment Frequency:Monthly (12/year)

Interest Analysis

Interest as % of total payments:56.053%
Interest per payment:$709
Compounding frequency:Monthly

Payment Tips

  • • Bi-weekly payments can save significant interest
  • • Higher down payments reduce total interest paid
  • • Compare APR, not just interest rate
  • • Consider total cost, not just monthly payment
  • • Extra payments toward principal reduce interest

How it works

A payment calculator finds the fixed periodic payment that pays off a loan over its term. It amortizes the balance — each payment covers the interest on what's left, and the rest reduces the principal.

Loan payment

M = P · r(1 + r)ⁿ / [(1 + r)ⁿ − 1]
P
amount borrowed
r
rate per period (annual ÷ periods)
n
total number of payments

Worked example

  • Loan P = $15,000 at 6%
  • 3-year term → n = 36, r = 0.005
  1. (1 + r)ⁿ = 1.005³⁶ ≈ 1.197
  2. M = 15,000 × 0.005 × 1.197 ÷ (1.197 − 1)

Payment ≈ $456/month.

Good to know

  • A longer term lowers each payment but raises total interest.
  • Extra payments go straight to principal and shorten the loan.
  • Use the APR, not just the rate, to compare loans that carry fees.

Related Calculators

Frequently Asked Questions

How is a monthly loan payment calculated?

Lenders use the amortization formula: Payment = P x [r(1+r)^n] / [(1+r)^n - 1], where P is the principal, r the monthly interest rate, and n the number of payments. This calculator applies it instantly for any amount, rate, and term.

What is the difference between interest rate and APR?

The interest rate is the cost of borrowing the principal itself, while APR adds lender fees and points to show the true annual cost of the loan. Compare offers by APR, not just the advertised rate.

How does the loan term affect my payment?

A longer term lowers the monthly payment but raises total interest. For example, $20,000 at 7% costs about $396 per month over 5 years but only $232 over 10 years — while nearly doubling the interest paid.

Do extra payments reduce my monthly payment?

On most fixed loans, extra principal payments don't change the required monthly payment — they shorten the payoff date and cut total interest instead. Some mortgage lenders will recast the loan to lower payments after a large lump sum.

What loan types does this payment calculator work for?

It handles any standard amortizing loan: auto, personal, mortgage, or fixed installment plans. Interest-only loans and credit card minimum payments follow different rules, so use dedicated tools for those.