Month Mortgage Payment Calculator

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Monthly Mortgage Payment Calculator

Calculate your estimated monthly mortgage payment.

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$0.00 Your estimated monthly payment

Understanding Your Monthly Mortgage Payment

The monthly mortgage payment is the recurring amount you pay to your lender each month for your home loan. It typically includes several components, but the primary calculation is for the principal and interest (P&I). This calculator focuses on estimating that core P&I payment.

While this calculator provides an estimate for the Principal and Interest (P&I) portion of your mortgage, remember that your total monthly housing expense will likely be higher. Many mortgage payments also include:

  • Property Taxes: Funds set aside to pay your local property taxes.
  • Homeowner's Insurance: Premiums for your homeowner's insurance policy.
  • Private Mortgage Insurance (PMI): If your down payment is less than 20% of the home's price, PMI protects the lender.
  • Homeowner Association (HOA) Fees: If applicable, for maintaining common areas in certain communities.

These additional costs are often collected by your lender and paid on your behalf, known as impounding. Your lender usually provides an "escrow account" for these payments.

The Math Behind the Mortgage Payment

The standard formula for calculating the monthly mortgage payment (M) is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Where:

  • M = Your total monthly mortgage payment (Principal & Interest)
  • P = The principal loan amount (the total amount you borrow)
  • i = Your monthly interest rate (annual rate divided by 12)
  • n = The total number of payments over the loan's lifetime (loan term in years multiplied by 12)

Example Calculation

Let's break down an example:

Suppose you are taking out a mortgage with the following details:

Loan Amount (P) $300,000
Annual Interest Rate 4.5%
Loan Term 30 Years

Here's how we'd calculate it:

  • Principal Loan Amount (P): $300,000
  • Monthly Interest Rate (i): 4.5% annual / 12 months = 0.045 / 12 = 0.00375
  • Total Number of Payments (n): 30 years * 12 months/year = 360

Using the formula:

M = 300000 [ 0.00375(1 + 0.00375)^360 ] / [ (1 + 0.00375)^360 – 1] M = 300000 [ 0.00375(1.00375)^360 ] / [ (1.00375)^360 – 1] M = 300000 [ 0.00375 * 3.74532 ) ] / [ 3.74532 – 1 ] M = 300000 [ 0.0140449 ] / [ 2.74532 ] M = 300000 * 0.0051156 M ≈ $1,534.70

So, the estimated monthly principal and interest payment for this loan would be approximately $1,534.70.

Who Should Use This Calculator?

This calculator is ideal for:

  • Prospective homebuyers trying to understand the affordability of a property.
  • Current homeowners considering refinancing their mortgage.
  • Real estate agents and mortgage brokers assisting clients.
  • Anyone curious about how loan amount, interest rate, and loan term affect monthly payments.

By inputting different scenarios, you can get a clearer picture of your potential mortgage obligations and better plan your finances.

function calculateMortgagePayment() { var principal = parseFloat(document.getElementById("principal").value); var annualInterestRate = parseFloat(document.getElementById("annualInterestRate").value); var loanTermYears = parseInt(document.getElementById("loanTermYears").value); var resultElement = document.getElementById("result"); if (isNaN(principal) || principal <= 0) { resultElement.innerHTML = "$0.00Please enter a valid loan amount."; resultElement.style.backgroundColor = "#dc3545"; /* Error red */ return; } if (isNaN(annualInterestRate) || annualInterestRate < 0) { resultElement.innerHTML = "$0.00Please enter a valid annual interest rate."; resultElement.style.backgroundColor = "#dc3545"; /* Error red */ return; } if (isNaN(loanTermYears) || loanTermYears <= 0) { resultElement.innerHTML = "$0.00Please enter a valid loan term in years."; resultElement.style.backgroundColor = "#dc3545"; /* Error red */ return; } var monthlyInterestRate = annualInterestRate / 100 / 12; var numberOfPayments = loanTermYears * 12; var monthlyPayment; if (monthlyInterestRate === 0) { // Handle 0% interest rate case monthlyPayment = principal / numberOfPayments; } else { // Standard mortgage payment formula var factor = Math.pow(1 + monthlyInterestRate, numberOfPayments); monthlyPayment = principal * (monthlyInterestRate * factor) / (factor – 1); } if (isNaN(monthlyPayment) || !isFinite(monthlyPayment)) { resultElement.innerHTML = "$0.00Calculation error. Check inputs."; resultElement.style.backgroundColor = "#dc3545"; /* Error red */ } else { resultElement.innerHTML = "$" + monthlyPayment.toFixed(2) + "Your estimated monthly payment"; resultElement.style.backgroundColor = "var(–success-green)"; /* Success green */ } }

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