Calculating Comparison Rate

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Comparison Rate Calculator

Identify the true cost of funding by including all fees and charges.

Your Effective Comparison Rate:
0.00%

Understanding the Comparison Rate Logic

In finance, the advertised "Base Percentage" often masks the real cost of a contract. The Comparison Rate is a mathematical tool designed to provide transparency by condensing the base rate, establishment costs, and recurring servicing fees into a single percentage figure.

The Mathematics Behind the Calculation

The calculation uses an iterative process to find the "True Cost of Capital." It accounts for:

  • Principal Sum: The initial amount of funding provided.
  • Nominal Rate: The percentage applied to the balance before fees.
  • Fixed Costs: One-off amounts charged at the start (Establishment Costs).
  • Variable Costs: Recurring charges that accumulate over the duration of the contract.
Realistic Example:
Imagine a funding amount of $150,000 over 25 years with a base rate of 5.50%. If you pay a $600 establishment fee and a $10 monthly servicing fee, your "Base Percentage" is 5.50%, but your Comparison Rate is 5.64%. Those seemingly small fees add significant weight to the total obligation.

Why the Comparison Rate is Crucial

When comparing different providers, a lower base rate doesn't always mean a cheaper deal. A provider offering 5.0% with high hidden fees might actually be more expensive than a provider offering 5.2% with zero fees. Using the comparison rate allows for an "apples-to-apples" evaluation of financial products.

Formula Breakdown

While the exact legal formula varies by jurisdiction, the core logic follows the Net Present Value (NPV) principle. It finds the internal rate of return (IRR) where the present value of all future payments (including fees) equals the net amount of funding received after initial costs are deducted.

function calculateComparisonRate() { var principal = parseFloat(document.getElementById("fundingAmount").value); var nominalRateYearly = parseFloat(document.getElementById("baseRate").value); var setupFees = parseFloat(document.getElementById("setupCosts").value); var monthlyFees = parseFloat(document.getElementById("monthlyFee").value); var years = parseFloat(document.getElementById("durationYears").value); if (isNaN(principal) || isNaN(nominalRateYearly) || isNaN(setupFees) || isNaN(monthlyFees) || isNaN(years) || principal <= 0 || years <= 0) { alert("Please enter valid positive numbers for all fields."); return; } var totalMonths = years * 12; var monthlyRate = (nominalRateYearly / 100) / 12; // 1. Calculate standard monthly repayment based on nominal rate var monthlyRepayment = 0; if (monthlyRate === 0) { monthlyRepayment = principal / totalMonths; } else { monthlyRepayment = principal * (monthlyRate * Math.pow(1 + monthlyRate, totalMonths)) / (Math.pow(1 + monthlyRate, totalMonths) – 1); } // 2. Add the recurring servicing fee to the repayment var totalMonthlyOutgo = monthlyRepayment + monthlyFees; // 3. The net funding received is Principal minus Setup Costs var netFunding = principal – setupFees; // 4. Solve for the internal rate of return (i) where: // netFunding = totalMonthlyOutgo * [(1 – (1 + i)^-n) / i] // We use Newton's method or binary search. Binary search is safer here. var low = 0; var high = 1.0; // 100% per month is a safe upper bound var mid = 0; var calculatedNet = 0; for (var i = 0; i netFunding) { low = mid; } else { high = mid; } } var effectiveMonthlyRate = mid; var comparisonRateYearly = effectiveMonthlyRate * 12 * 100; document.getElementById("compRateResult").innerHTML = comparisonRateYearly.toFixed(2) + "%"; document.getElementById("resultArea").style.display = "block"; var diff = comparisonRateYearly – nominalRateYearly; document.getElementById("resultDescription").innerHTML = "The inclusion of fees increases your effective cost by " + diff.toFixed(2) + "% per annum compared to the base rate."; }

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