Tvm Calculator

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Time Value of Money (TVM) Calculator

Annually Semi-Annually Quarterly Monthly Daily
End of Period (Arrears) Beginning of Period (Due)

Future Value (FV)

Understanding the Time Value of Money (TVM)

The Time Value of Money (TVM) is a core financial principle stating that a sum of money is worth more now than the same sum will be at a future date due to its earnings potential. This fundamental concept is why interest is paid or earned: interest compensates the depositor or lender for the loss of their use of the money.

The TVM Components

  • Present Value (PV): The current value of a future sum of money or stream of cash flows given a specified rate of return.
  • Future Value (FV): The value of a current asset at a specified date in the future based on an assumed rate of growth.
  • Number of Periods (N): The total number of compounding periods (usually years or months).
  • Interest Rate (I/Y): The annual rate of return or discount rate applied to the calculations.
  • Periodic Payment (PMT): A fixed amount paid or received every period (an annuity).

Example Calculation

If you invest $5,000 (PV) today at an annual interest rate of 6% (I/Y) compounded monthly for 5 years (N), and you make no additional payments (PMT = 0):

Your Future Value (FV) would be approximately $6,744.25. This is because your money earns interest, and that interest then earns more interest—a process known as compounding.

Why Use a TVM Calculator?

A TVM calculator helps individuals and financial professionals determine how much to save for retirement, how to value an investment, or how to calculate the true cost of a long-term purchase. By adjusting the variables, you can see how increasing your periodic payments or finding a slightly higher interest rate significantly impacts your wealth over time.

function calculateTVM() { var pv = parseFloat(document.getElementById('presentValue').value) || 0; var pmt = parseFloat(document.getElementById('periodicPayment').value) || 0; var annualRate = parseFloat(document.getElementById('annualRate').value) || 0; var n = parseFloat(document.getElementById('periods').value) || 0; var compounding = parseFloat(document.getElementById('compounding').value); var timing = parseInt(document.getElementById('timing').value); if (n <= 0) { alert("Please enter a valid number of periods."); return; } // Periodic rate var r = (annualRate / 100) / compounding; // Total periods var totalN = n * compounding; var fv = 0; if (r === 0) { // Simple addition if rate is 0 fv = pv + (pmt * totalN); } else { // FV of Present Value var fvPV = pv * Math.pow(1 + r, totalN); // FV of Annuity (PMT) var fvAnnuity = pmt * ((Math.pow(1 + r, totalN) – 1) / r); // Adjust for beginning of period if selected if (timing === 1) { fvAnnuity *= (1 + r); } fv = fvPV + fvAnnuity; } var resultDiv = document.getElementById('tvmResult'); var output = document.getElementById('fvOutput'); var summary = document.getElementById('tvmSummary'); output.innerHTML = "$" + fv.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); summary.innerHTML = "Based on a " + annualRate + "% annual rate over " + n + " years with " + (compounding === 12 ? "monthly" : compounding === 1 ? "annual" : "specified") + " compounding."; resultDiv.style.display = "block"; }

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