Annualized Return Calculator

Annualized Return Calculator

Annualized Return (CAGR):

0.00%

function computeAnnualizedReturn() { var initial = parseFloat(document.getElementById('initialInvestment').value); var ending = parseFloat(document.getElementById('endingValue').value); var years = parseFloat(document.getElementById('durationYears').value); var resultBox = document.getElementById('returnResult'); var percentageDisplay = document.getElementById('finalPercentage'); var totalReturnDisplay = document.getElementById('totalReturnText'); if (isNaN(initial) || isNaN(ending) || isNaN(years) || initial <= 0 || years <= 0) { alert("Please enter valid positive numbers. Initial investment and duration must be greater than zero."); return; } // CAGR Formula: [(Ending Value / Initial Value) ^ (1 / Number of Years)] – 1 var annualizedReturn = (Math.pow((ending / initial), (1 / years)) – 1) * 100; var totalReturn = ((ending – initial) / initial) * 100; percentageDisplay.innerHTML = annualizedReturn.toFixed(2) + "%"; totalReturnDisplay.innerHTML = "Total Absolute Return over " + years + " years: " + totalReturn.toFixed(2) + "%"; resultBox.style.display = "block"; }

Understanding Annualized Return (CAGR)

The Annualized Return, often referred to as the Compound Annual Growth Rate (CAGR), represents the geometric progression ratio that provides a constant rate of return over a specific time period. Unlike simple average returns, the annualized return accounts for the effects of compounding, providing a much more accurate picture of investment performance over time.

The Annualized Return Formula

To calculate the annualized return manually, you use the following formula:

Annualized Return = [(Ending Value / Initial Value)(1 / Years) – 1] * 100

Why Use Annualized Return Instead of Total Return?

Total return tells you how much your investment grew in aggregate, but it fails to account for the time it took to achieve those gains. For example, a 50% return is impressive if achieved in 2 years, but significantly less so if it took 20 years. Annualizing the return allows investors to compare different assets (like stocks, bonds, or real estate) on an apples-to-apples basis regardless of the holding period.

Practical Examples

  • Example 1: You invest 10,000 units. After 5 years, the value is 16,105. Your total return is 61.05%, but your annualized return is exactly 10% per year.
  • Example 2: You invest 5,000 units and after 10 years it grows to 10,000. While the investment doubled (100% total return), the annualized return is approximately 7.18%.

Key Factors to Consider

When using this calculator, remember that it assumes "point-to-point" growth. It does not account for interim volatility, additional contributions, or withdrawals made during the investment period. For investments with frequent cash flows, an Internal Rate of Return (IRR) calculation might be more appropriate.

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