The principal and interest portion uses the standard amortization formula: monthly payment = [loan amount × monthly rate × (1 + monthly rate)^N] ÷ [(1 + monthly rate)^N − 1], where N is the total number of payments (360 for a 30-year mortgage).
Property tax is divided by 12 and added directly to the monthly payment. Homeowner's insurance is handled the same way. PMI, if applicable, is calculated as an annual percentage of the original loan amount, divided by 12. Together these components give you the true monthly cost.
What the formula doesn't capture — but homebuyers should budget for separately — are maintenance and repair costs (commonly estimated at 1 to 2% of home value per year), HOA fees if applicable, and utilities that may be higher than in a rented property. The calculator gives you the ownership cost of the financing; total cost of ownership is a broader number.
Interest rate sensitivity is real and worth understanding. On a $400,000 loan at 6.5%, the monthly P&I is roughly $2,528. At 7%, it jumps to $2,661. That $133 monthly difference is $1,596 per year and $47,880 over 30 years — just from a 0.5 percentage point rate difference. This is why shopping aggressively for the best mortgage rate, and timing your lock-in carefully, matters so much.
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