How Mortgage Payments Are Calculated
Monthly mortgage payments are calculated using the standard amortization formula. The payment includes principal and interest, with property taxes, homeowners insurance (PITI) added separately.
M = P × [r(1+r)n] / [(1+r)n - 1]
Where M = monthly payment, P = loan principal, r = monthly interest rate, and n = number of payments.
Popular Mortgage Calculators
| Home Value | Monthly Payment (20% down, 30yr) |
|---|
| $100,000 | $519/mo |
| $150,000 | $778/mo |
| $200,000 | $1,038/mo |
| $250,000 | $1,297/mo |
| $300,000 | $1,557/mo |
| $350,000 | $1,816/mo |
| $400,000 | $2,076/mo |
| $450,000 | $2,335/mo |
Frequently Asked Questions
How is a monthly mortgage payment calculated?
The monthly payment is calculated using the amortization formula: M = P[r(1+r)^n] / [(1+r)^n - 1], where P is the loan principal, r is the monthly interest rate, and n is the total number of payments.
What is included in a mortgage payment?
A complete mortgage payment (PITI) includes Principal, Interest, property Taxes, and homeowners Insurance. Our calculator shows principal & interest with property tax. Insurance varies by provider and is not included.
How much home can I afford?
A common guideline is the 28/36 rule: spend no more than 28% of gross monthly income on housing costs and no more than 36% on total debt. Lenders also consider your credit score, down payment, and debt-to-income ratio.
Is a 15-year or 30-year mortgage better?
A 15-year mortgage has higher monthly payments but significantly lower total interest. A 30-year mortgage has lower payments but costs more in total interest. Choose based on your monthly budget and financial goals.
How much down payment do I need?
Conventional loans typically require 5-20% down. FHA loans require as little as 3.5%. VA and USDA loans may offer 0% down. Putting 20% or more down avoids Private Mortgage Insurance (PMI).