Calculating Annualized Rate of Return

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Annualized Rate of Return (CAGR) Calculator

Measure your investment growth over time.

Your Annualized Rate of Return (CAGR) is: 0%

What is the Annualized Rate of Return?

The Annualized Rate of Return, often referred to as the Compounded Annual Growth Rate (CAGR), provides 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.

The CAGR Formula

To calculate the annualized return, we use the following mathematical formula:

CAGR = [(Ending Value / Beginning Value)(1 / Number of Years) – 1] * 100

Why Use Annualized Returns Over Absolute Returns?

Absolute returns tell you how much you made in total, but they ignore time. For example, a 50% return is impressive if it takes 2 years, but less so if it takes 20 years. The annualized return allows you to compare different assets (like stocks, real estate, or bonds) on an "apples-to-apples" basis by normalizing the growth to a 12-month period.

Practical Example:
Suppose you invested $10,000 in a mutual fund. After 5 years, your account balance is $16,105.

1. Total Return = 61.05%
2. Annualized Return calculation: [($16,105 / $10,000)(1/5) – 1]
3. Result: 10% per year.

Key Benefits of This Calculation

  • Volatility Smoothing: It ignores year-to-year fluctuations and focuses on the steady growth rate.
  • Benchmarking: Allows you to compare your portfolio performance against benchmarks like the S&P 500.
  • Goal Setting: Helps determine if your current growth rate will meet your long-term retirement goals.
function calculateAnnualizedReturn() { var beginning = parseFloat(document.getElementById('initialValue').value); var ending = parseFloat(document.getElementById('finalValue').value); var years = parseFloat(document.getElementById('numYears').value); var resultDiv = document.getElementById('cagrResult'); var valueSpan = document.getElementById('cagrValue'); var explanationPara = document.getElementById('cagrExplanation'); if (isNaN(beginning) || isNaN(ending) || isNaN(years)) { alert("Please enter valid numbers for all fields."); return; } if (beginning <= 0) { alert("Beginning value must be greater than zero."); return; } if (years <= 0) { alert("Duration must be greater than zero."); return; } // CAGR Formula: ((End / Start) ^ (1 / Years)) – 1 var cagr = (Math.pow((ending / beginning), (1 / years)) – 1) * 100; var totalReturn = ((ending – beginning) / beginning) * 100; valueSpan.innerText = cagr.toFixed(2) + "%"; explanationPara.innerHTML = "Over " + years + " years, your investment grew by a total of " + totalReturn.toFixed(2) + "%, which averages out to a compounded " + cagr.toFixed(2) + "% annually."; resultDiv.style.display = "block"; resultDiv.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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