Housing

Amortization Calculator

The payment, total interest, and how much of the first year is interest.

Monthly principal and interest

$1,769.79

Interest over the term
$357,125
Interest in year one
$18,108
Principal paid in year one
$3,130

Fixed rate. Taxes, insurance, and mortgage insurance are not in the payment.

How this number is made

An amortizing loan keeps the payment flat while the interest slice shrinks and the principal slice grows. This page is the summary of that schedule.

  1. Enter the amount financed, not the purchase price, if you already put money down.
  2. Years are the term the payment is built on.

Formula

Payment = P × r(1+r)^n ÷ ((1+r)^n − 1). Total interest = payment × months − P. First-year interest is the sum of balance × r for the first twelve months.

Worked example

With the figures already in the form, monthly principal and interest is $1,769.79.

Questions

Where is the full month-by-month table?

The headline is the payment and the rows are the totals. A 360-row table is the same formula repeated. The mortgage page charts the year-by-year shift.

Why is year one mostly interest?

Interest is charged on the whole balance. Early payments barely move that balance, so the interest slice stays large.

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