Mortgage Calculator

Calculate Mortgage Payments

What is a Mortgage Calculator?

A mortgage calculator helps you estimate your monthly home loan payment, including principal, interest, property taxes, and insurance. It's an essential tool for anyone planning to buy a home or refinance an existing mortgage.

By adjusting the home price, down payment, interest rate, and loan term, you can see how different scenarios affect your monthly payment and total cost of the loan.

How to Calculate Mortgage Payments

Mortgage payments are calculated using the following process:

  1. Calculate loan amount: Subtract down payment from home price
  2. Convert annual rate: Divide annual interest rate by 12 for monthly rate
  3. Determine total payments: Multiply loan term in years by 12
  4. Apply mortgage formula: Calculate principal and interest payment
  5. Add escrow: Add monthly property tax and insurance to get total payment

Formula

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where: M = Monthly principal & interest payment, P = Principal (loan amount), r = Monthly interest rate (annual rate / 12 / 100), n = Total number of payments (years × 12)

Total Monthly Payment = Principal & Interest + Property Tax/12 + Insurance/12

Example

Home Purchase Example

Problem: You want to buy a $350,000 home with a 20% down payment, at 6.5% interest for 30 years. Annual property tax is $4,200 and insurance is $1,800.

Solution:

  1. Down Payment: $350,000 × 20% = $70,000
  2. Loan Amount: $350,000 - $70,000 = $280,000
  3. Monthly Principal & Interest: $1,770.31
  4. Monthly Tax: $4,200 / 12 = $350
  5. Monthly Insurance: $1,800 / 12 = $150
  6. Total Monthly Payment: $2,270.31

Frequently Asked Questions

What is included in a mortgage payment?

A typical mortgage payment includes four components (often called PITI): Principal (the amount borrowed), Interest (the cost of borrowing), Taxes (property taxes), and Insurance (homeowners insurance and possibly PMI).

How much should I put down on a house?

A 20% down payment is ideal as it helps you avoid Private Mortgage Insurance (PMI) and results in better loan terms. However, many loans allow lower down payments (3-10%), especially for first-time buyers.

Should I choose a 15-year or 30-year mortgage?

A 15-year mortgage has higher monthly payments but saves significantly on interest and builds equity faster. A 30-year mortgage has lower payments but costs more in total interest. Choose based on your budget and financial goals.