Loan Emi Calculator

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Mortgage Points Break-Even Calculator

Determine if "buying down the rate" is a smart financial move for your home loan.

Analysis Results

Monthly Payment (Original):
Monthly Payment (Discounted):
Monthly Savings:
Break-Even Time:
Total 30-Year Savings:

Understanding Mortgage Discount Points

Mortgage points, also known as discount points, are a form of prepaid interest. By paying a lump sum at closing, you "buy down" the interest rate on your mortgage, which results in lower monthly payments over the life of the loan. Typically, one point costs 1% of the total loan amount and reduces the interest rate by approximately 0.25%.

The Golden Rule: Buying points only makes sense if you plan to stay in the home longer than it takes to "break even" on the upfront cost.

How to Calculate Your Break-Even Point

The calculation involves three main steps:

  1. Calculate Monthly Savings: Find the difference between your monthly mortgage payment at the original rate and the new discounted rate.
  2. Upfront Cost: Determine the total cash paid for the points at the time of closing.
  3. The Division: Divide the total cost of the points by the monthly savings. The result is the number of months required to recoup your investment.

Realistic Example

Suppose you are taking out a $400,000 mortgage. The lender offers you a 7.0% interest rate, or you can pay $4,000 (1 point) to reduce the rate to 6.75%.

  • Monthly payment at 7.0%: $2,661.21
  • Monthly payment at 6.75%: $2,594.41
  • Monthly savings: $66.80
  • $4,000 / $66.80 = 59.8 months

In this scenario, if you plan to sell the house or refinance in less than 5 years (60 months), paying for the point would result in a net loss. However, if you keep the loan for 30 years, you would save over $20,000 in interest.

Factors to Consider

While the math is straightforward, consider these variables before committing:

  • Opportunity Cost: Could that $3,000 or $5,000 earn more if invested in the stock market?
  • Tax Deductions: In many cases, mortgage points are tax-deductible in the year they are paid, which may lower your effective cost.
  • Future Refinancing: If interest rates drop significantly in 2 years and you refinance, the money spent on points is essentially lost because the loan was paid off before the break-even point.
function calculateBreakEven() { var loanAmount = parseFloat(document.getElementById("loanAmount").value); var pointsCost = parseFloat(document.getElementById("pointsCost").value); var baseRatePercent = parseFloat(document.getElementById("baseRate").value); var newRatePercent = parseFloat(document.getElementById("newRate").value); var years = parseFloat(document.getElementById("loanTerm").value); if (isNaN(loanAmount) || isNaN(pointsCost) || isNaN(baseRatePercent) || isNaN(newRatePercent) || isNaN(years)) { alert("Please enter valid numbers in all fields."); return; } if (newRatePercent >= baseRatePercent) { alert("The discounted rate must be lower than the original rate to calculate savings."); return; } var months = years * 12; var baseMonthlyRate = (baseRatePercent / 100) / 12; var newMonthlyRate = (newRatePercent / 100) / 12; // Monthly Payment Formula: P = L [ c(1 + c)^n ] / [ (1 + c)^n – 1 ] var paymentOld = (loanAmount * baseMonthlyRate * Math.pow(1 + baseMonthlyRate, months)) / (Math.pow(1 + baseMonthlyRate, months) – 1); var paymentNew = (loanAmount * newMonthlyRate * Math.pow(1 + newMonthlyRate, months)) / (Math.pow(1 + newMonthlyRate, months) – 1); var monthlySavings = paymentOld – paymentNew; var breakEvenMonths = pointsCost / monthlySavings; var totalInterestSavings = (monthlySavings * months) – pointsCost; // Formatting document.getElementById("oldPayment").innerHTML = "$" + paymentOld.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("newPayment").innerHTML = "$" + paymentNew.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("monthlySavings").innerHTML = "$" + monthlySavings.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); var yearsLabel = Math.floor(breakEvenMonths / 12); var monthsLabel = Math.round(breakEvenMonths % 12); document.getElementById("breakEvenPeriod").innerHTML = Math.round(breakEvenMonths) + " Months (" + yearsLabel + " years, " + monthsLabel + " months)"; document.getElementById("totalSavings").innerHTML = "$" + totalInterestSavings.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("results").style.display = "block"; document.getElementById("results").scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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