Hsh Mortgage Calculator

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HSH Mortgage Calculator

Calculate your estimated monthly mortgage payment.

Estimated Monthly Payment

$0.00

(Principal + Interest + Taxes + Insurance + PMI)

Understanding Your Mortgage Payment

When you take out a mortgage, your monthly payment (often referred to as PITI) typically consists of several components. This calculator helps you estimate the total monthly cost by considering:

  • Principal & Interest (P&I): This is the core of your mortgage payment, covering the repayment of the loan amount and the interest charged by the lender. The calculation uses the standard amortization formula.
  • Property Taxes: These are local government taxes based on the value of your property. We've included an estimate for your annual property taxes, divided by 12 to get a monthly figure.
  • Homeowner's Insurance: This protects you and the lender against damage to your property. An annual premium is included and divided by 12 for the monthly cost.
  • Private Mortgage Insurance (PMI): If your down payment is less than 20% of the home's purchase price, lenders often require PMI to protect themselves. This cost is also annualized and divided by 12.

How the Calculation Works

The monthly Principal & Interest (P&I) payment is calculated using the following formula, which is standard for amortizing loans:

$M = P \left[ \frac{i(1+i)^n}{(1+i)^n – 1} \right]$

Where:

  • $M$ = Your total monthly mortgage payment (P&I component)
  • $P$ = The principal loan amount
  • $i$ = 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)

To get the total estimated monthly payment, we add the monthly P&I component to the monthly property taxes, homeowner's insurance, and PMI.

Example Scenario

Let's say you are taking out a mortgage for $300,000 with an annual interest rate of 4.5% over a 30-year term. Your estimated annual property taxes are $3,600 ($300/month), annual homeowner's insurance is $1,200 ($100/month), and you don't need PMI ($0).

  • Principal Loan Amount (P): $300,000
  • Annual Interest Rate: 4.5%
  • Monthly Interest Rate (i): 4.5% / 12 / 100 = 0.00375
  • Loan Term: 30 years
  • Total Payments (n): 30 * 12 = 360
  • Monthly Property Tax: $3600 / 12 = $300
  • Monthly Homeowner's Insurance: $1200 / 12 = $100
  • Monthly PMI: $0

Using the P&I formula: $M = 300000 \left[ \frac{0.00375(1+0.00375)^{360}}{(1+0.00375)^{360} – 1} \right] \approx \$1,520.06$

Total Estimated Monthly Payment = P&I + Taxes + Insurance + PMI Total = $1,520.06 + $300 + $100 + $0 = $1,920.06

This calculator provides an estimate and does not include potential closing costs, HOA fees, or other charges. It's always recommended to consult with a mortgage professional for precise figures.

function calculateMortgage() { var loanAmount = parseFloat(document.getElementById("loanAmount").value); var annualInterestRate = parseFloat(document.getElementById("interestRate").value); var loanTermYears = parseFloat(document.getElementById("loanTerm").value); var annualPropertyTax = parseFloat(document.getElementById("propertyTax").value); var annualHomeInsurance = parseFloat(document.getElementById("homeInsurance").value); var annualPmi = parseFloat(document.getElementById("pmi").value); var resultDiv = document.getElementById("result-value"); var resultHtml = ""; // Input validation if (isNaN(loanAmount) || loanAmount <= 0) { resultHtml = "Invalid Loan Amount"; } else if (isNaN(annualInterestRate) || annualInterestRate < 0) { resultHtml = "Invalid Interest Rate"; } else if (isNaN(loanTermYears) || loanTermYears <= 0) { resultHtml = "Invalid Loan Term"; } else if (isNaN(annualPropertyTax) || annualPropertyTax < 0) { resultHtml = "Invalid Property Tax"; } else if (isNaN(annualHomeInsurance) || annualHomeInsurance < 0) { resultHtml = "Invalid Homeowner's Insurance"; } else if (isNaN(annualPmi) || annualPmi 0 && numberOfPayments > 0) { principalAndInterest = loanAmount * (monthlyInterestRate * Math.pow(1 + monthlyInterestRate, numberOfPayments)) / (Math.pow(1 + monthlyInterestRate, numberOfPayments) – 1); } else if (numberOfPayments > 0) { // Handle 0% interest rate case principalAndInterest = loanAmount / numberOfPayments; } else { principalAndInterest = loanAmount; // If term is 0, pay immediately } var totalMonthlyPayment = principalAndInterest + monthlyPropertyTax + monthlyHomeInsurance + monthlyPmi; resultHtml = "$" + totalMonthlyPayment.toFixed(2); } resultDiv.innerHTML = resultHtml; }

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