Amortization Formula
The fixed monthly payment for a fully amortizing loan is calculated with:
M = P · r(1+r)ⁿ / ((1+r)ⁿ − 1)
Where M = monthly payment, P = principal, r = monthly interest rate (annual rate ÷ 12), n = total number of payments (years × 12). Each month, the interest portion decreases and the principal portion increases as the balance shrinks.
| Loan Term | Monthly Payment on $300,000 at 7% | Total Interest |
|---|---|---|
| 10 years | $3,484 | $118,080 |
| 15 years | $2,696 | $185,280 |
| 20 years | $2,326 | $258,240 |
| 30 years | $1,996 | $418,560 |