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Understanding Your Mortgage Payment
Calculating your monthly mortgage payment is the first step in determining how much home you can afford. This calculator uses the standard amortization formula to determine the principal and interest portion of your monthly bill. Note that your actual monthly payment may be higher if it includes property taxes, homeowner's insurance, and Private Mortgage Insurance (PMI).
How the Calculation Works
The mortgage formula takes into account your principal loan balance, the annual interest rate, and the length of the loan term. The math ensures that by the end of your term (e.g., 30 years), the loan is paid off completely.
Formula Used:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]
Where:
M = Total monthly payment
P = Principal loan amount (Home Price – Down Payment)
i = Monthly interest rate (Annual Rate / 12)
n = Number of months (Years * 12)
Real World Example
Let's say you want to buy a home priced at $300,000. You have saved a down payment of $60,000 (20%), leaving a loan amount of $240,000.
If you secure a 30-year fixed-rate mortgage at an interest rate of 6.5%:
- Your monthly principal and interest payment would be approximately $1,517.
- Over the life of the loan, you would pay a total of $306,086 in interest alone.
- The total cost of the home (principal + interest + down payment) would be roughly $606,086.
Factors That Impact Your Payment
1. Down Payment: Putting more money down reduces your principal loan amount, which lowers your monthly payment and the total interest paid over time. If you put down less than 20%, you may also be required to pay PMI.
2. Interest Rate: Even a small difference in rates can have a massive impact. On a $240,000 loan, the difference between a 6% and a 7% rate is roughly $160 per month, or nearly $58,000 over 30 years.
3. Loan Term: A shorter term (like 15 years) will have higher monthly payments but significantly lower total interest costs compared to a 30-year term.