Amortization Schedule for a Typical California Home Loan
The amortization formula for a fixed-rate loan is:
M = P × [r(1+r)^n] / [(1+r)^n − 1]
M = monthly payment | P = principal | r = monthly rate (annual ÷ 12) | n = total payments
For California's median home scenario — $777,750 loan at 6.35%:
- Monthly rate r = 6.35% ÷ 12 = 0.5292%
- Monthly payment M = $4,839
- Month 1 interest: $4,116 | Month 1 principal: $723
- After 5 years (60 payments): balance still $726,821
- After 15 years (180 payments): balance still $560,977 (72% of original)
- Total interest over 30 years: $964,290
The key insight: after paying $4,839/month for 15 years — halfway through the loan — you still owe $560,977. This is because early payments are almost entirely interest. Paying just $200 extra per month would save approximately $119,482 in interest and shorten the loan by roughly 3.2 years.