🇺🇸 Mortgage on $450,000 at 5.5% for 15 Years
A $450,000 mortgage at 5.5% interest for 15 years has a monthly payment of $3,676.88. Over 180 payments you will pay $661,838 in total, including $211,838 in interest. Use the calculator to adjust the loan amount, rate, or term.
⚠ Down payment < 20% — PMI of ~$318.75/mo added to estimate.
Estimated Monthly Payment
$4,596
$450,000 loan · 5.5% · 15 yr
P & I
$3,676.88
Est. Tax
$412.50
Est. Insurance
$187.50
PMI
$318.75
Total Cost of Loan (15 years)
Amortization Schedule
First 12 months shown
| Mo. | Payment | Principal | Interest |
|---|---|---|---|
| 1 | $3,676.88 | $1,614.38 | $2,062.50 |
| 2 | $3,676.88 | $1,621.77 | $2,055.10 |
| 3 | $3,676.88 | $1,629.21 | $2,047.67 |
| 4 | $3,676.88 | $1,636.68 | $2,040.20 |
| 5 | $3,676.88 | $1,644.18 | $2,032.70 |
| 6 | $3,676.88 | $1,651.71 | $2,025.16 |
| 7 | $3,676.88 | $1,659.28 | $2,017.59 |
| 8 | $3,676.88 | $1,666.89 | $2,009.99 |
| 9 | $3,676.88 | $1,674.53 | $2,002.35 |
| 10 | $3,676.88 | $1,682.20 | $1,994.67 |
| 11 | $3,676.88 | $1,689.91 | $1,986.96 |
| 12 | $3,676.88 | $1,697.66 | $1,979.22 |
* Principal & Interest payment is calculated using standard amortization. US 30-yr fixed, 2024. Property tax (~1.1%/yr) and homeowner's insurance (~0.5%/yr) are estimates — actual costs vary by location. PMI rate estimated at ~0.85%/yr when deposit is under 20%.
How This Mortgage Payment is Calculated
Mortgage payments are calculated using the standard amortization formula, which spreads the loan principal and all interest evenly across each monthly payment so the loan is fully paid off at the end of the term.
Formula:
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]
P = $450,000 (loan amount)
Annual rate = 5.5% → monthly rate r = 5.5% ÷ 12 = 0.004583
n = 15 years × 12 months = 180 total payments
M = $450,000 × [0.004583 × (1+0.004583)^180] / [(1+0.004583)^180 − 1]
M = $3,676.88 per month
Monthly Payment
$3,676.88
Total Paid
$661,838
Total Interest
$211,838
Interest Ratio
47.1%
Note: actual monthly costs are higher when you add property taxes, homeowner's insurance, and mortgage insurance (if applicable). Use the calculator above to see the full payment estimate.