When you take out a fixed-rate loan (mortgage, car loan, personal loan), your payment stays the same each month — but the split between principal and interest changes dramatically over time.
In early payments, most of your money goes toward interest. As the principal balance decreases, more of each payment goes toward principal. This is why a 30-year mortgage borrower has barely dented their principal after 5 years of payments.
The math behind amortization: Monthly payment = P × [r(1+r)^n] / [(1+r)^n – 1], where P = principal, r = monthly interest rate, and n = total number of payments.
For a $300,000 mortgage at 6.5% over 30 years:
- Monthly payment: $1,896
- First payment: $1,625 interest + $271 principal
- Final payment: $10 interest + $1,886 principal
- Total interest paid: $382,633 — more than the original loan!
