How to Calculate Yearly Rate of Return

by

Yearly Rate of Return (CAGR) Calculator

You can use decimals for partial years (e.g., 2.5 for 2 years and 6 months).

Your Yearly Rate of Return:

function calculateYearlyROR() { var initial = parseFloat(document.getElementById('initialInvestment').value); var ending = parseFloat(document.getElementById('endingValue').value); var years = parseFloat(document.getElementById('investmentYears').value); var resultDiv = document.getElementById('rorResult'); var rorValueDisplay = document.getElementById('rorValue'); var profitDisplay = document.getElementById('totalProfit'); if (isNaN(initial) || isNaN(ending) || isNaN(years) || initial <= 0 || years <= 0) { alert("Please enter valid positive numbers for the investment amounts and duration."); return; } // CAGR Formula: [(Ending / Initial) ^ (1 / years)] – 1 var yearlyRate = (Math.pow((ending / initial), (1 / years)) – 1) * 100; var totalGain = ending – initial; var totalGainPct = ((ending / initial) – 1) * 100; rorValueDisplay.innerText = yearlyRate.toFixed(2) + "%"; profitDisplay.innerHTML = "Total Profit: $" + totalGain.toLocaleString() + " (" + totalGainPct.toFixed(2) + "% total gain)"; resultDiv.style.display = "block"; }

How to Calculate Yearly Rate of Return

Understanding your investment performance requires more than just looking at the final balance. The Yearly Rate of Return, often called the Compound Annual Growth Rate (CAGR), provides a standardized way to measure how much an investment grew on average each year over a specific period.

The Yearly Rate of Return Formula

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

Yearly Return = [(Ending Value / Beginning Value) ^ (1 / Number of Years)] – 1

Example Calculation

Suppose you invested $10,000 in a stock portfolio, and after 5 years, the portfolio is worth $16,105. Here is how you find the yearly rate of return:

  1. Divide the ending value by the beginning value: $16,105 / $10,000 = 1.6105
  2. Raise the result to the power of (1 divided by years): 1.6105 ^ (1 / 5) = 1.6105 ^ 0.2 = 1.10
  3. Subtract 1: 1.10 – 1 = 0.10
  4. Convert to percentage: 0.10 * 100 = 10%

In this example, your investment grew at a yearly rate of 10% compounded annually.

Why Yearly Return Matters More Than Total Return

Total return tells you the total profit you made, but it doesn't account for time. For example, a 50% return is incredible if it happens in 1 year, but it is much less impressive if it takes 20 years. By calculating the yearly rate of return, you can accurately compare different assets (like stocks vs. real estate) regardless of how long you held them.

Important Considerations

  • Compounding: This calculation assumes that all earnings are reinvested into the asset.
  • Volatility: The yearly rate of return is a smoothed average. It doesn't mean the investment grew by that exact amount every single year; some years may have been up 20% while others were down 5%.
  • Taxes and Fees: For the most accurate result, use "Net" values by subtracting management fees or estimated capital gains taxes from your ending value.

Leave a Comment