Mortgage Calculator

How Mortgage Calculations Work

A mortgage calculator helps you estimate your monthly payment and understand the total cost of homeownership. It considers the principal loan amount, interest rate, loan term, and additional costs like property taxes, insurance, and PMI to give you a complete picture of your monthly housing expense.

Understanding your mortgage payment is crucial for budgeting and determining how much house you can afford. The calculation uses an amortization schedule where early payments go mostly toward interest, and later payments apply more toward the principal balance.

Mortgage Calculation Formula

Monthly Principal & Interest Payment


M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where:
M = Monthly payment
P = Principal loan amount (home price - down payment)
r = Monthly interest rate (annual rate ÷ 12)
n = Total number of payments (years × 12)
                    

Total Monthly Payment (PITI)


Total Payment = Principal & Interest + Property Tax + Insurance + PMI

Property Tax (monthly) = Annual Property Tax ÷ 12
Insurance (monthly) = Annual Insurance ÷ 12
PMI (monthly) = If down payment < 20%, typically 0.3-1.5% of loan amount annually
                    

Key Calculations

  • Loan Amount: Home Price - Down Payment
  • Down Payment %: (Down Payment ÷ Home Price) × 100
  • Total Interest: (Monthly Payment × Total Payments) - Principal
  • Total Cost: Home Price + Total Interest + Fees

Examples

Example 1: Conventional 30-Year Mortgage

Home Price: $400,000

Down Payment: $80,000 (20%)

Loan Amount: $320,000

Interest Rate: 6.5% annually

Term: 30 years

Monthly P&I: $2,022

Total Interest: $407,920

Example 2: Low Down Payment with PMI

Home Price: $300,000

Down Payment: $15,000 (5%)

Loan Amount: $285,000

Interest Rate: 7.0% annually

PMI: $142/month (0.6% annually)

Monthly P&I: $1,898

Total Monthly (with PMI): $2,040

Example 3: 15-Year Mortgage

Home Price: $350,000

Down Payment: $70,000 (20%)

Loan Amount: $280,000

Interest Rate: 6.0% annually

Term: 15 years

Monthly P&I: $2,366

Total Interest: $145,880

Frequently Asked Questions

What's included in my monthly mortgage payment?
Your total monthly payment typically includes PITI: Principal, Interest, Taxes (property), and Insurance (homeowners). If you put down less than 20%, you'll also pay Private Mortgage Insurance (PMI) until you reach 20% equity.
How much should I put down on a house?
While 20% down avoids PMI and reduces your loan amount, many buyers put down less. FHA loans allow as little as 3.5% down, and conventional loans can go as low as 3%. Consider your savings, monthly budget, and local market conditions when deciding.
Should I choose a 15-year or 30-year mortgage?
15-year mortgages have higher monthly payments but lower interest rates and much less total interest paid. 30-year mortgages offer lower monthly payments but cost more over time. Choose based on your monthly budget and long-term financial goals.
What is PMI and when can I remove it?
Private Mortgage Insurance protects the lender if you default. It's required when you put down less than 20%. You can request removal once you reach 20% equity, and it automatically cancels at 22% equity. PMI typically costs 0.3-1.5% of the loan amount annually.
How do property taxes and insurance affect my payment?
Most lenders require you to escrow property taxes and homeowners insurance, adding these costs to your monthly payment. The lender collects these funds and pays the bills when due. This ensures these important payments are always made on time.

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Last Updated: August 22, 2025