Average Annual Growth Rate Calculation

Average Annual Growth Rate (AAGR) Calculator

What is Average Annual Growth Rate (AAGR)?

The Average Annual Growth Rate (AAGR) is a simple way to measure how much an investment or a metric has grown on average each year over a specific period. Unlike the Compound Annual Growth Rate (CAGR), AAGR does not take into account the effect of compounding. It calculates the arithmetic mean of the growth rates for each year.

To calculate AAGR, you first determine the growth rate for each individual year, and then you average these individual yearly growth rates.

Formula:

AAGR = (Sum of Annual Growth Rates) / (Number of Years)

Where, Annual Growth Rate = ((Ending Value – Beginning Value) / Beginning Value) * 100%

The AAGR provides a straightforward understanding of the average yearly increase, but it can be less representative of overall growth compared to CAGR, especially over longer periods with significant compounding.

Example:

Suppose an investment starts at $1,000 and ends at $2,500 after 5 years. Let's assume the values at the end of each year were: Year 1: $1,200, Year 2: $1,500, Year 3: $1,800, Year 4: $2,100, Year 5: $2,500.

  • Year 1 Growth: (($1,200 – $1,000) / $1,000) * 100% = 20%
  • Year 2 Growth: (($1,500 – $1,200) / $1,200) * 100% = 25%
  • Year 3 Growth: (($1,800 – $1,500) / $1,500) * 100% = 20%
  • Year 4 Growth: (($2,100 – $1,800) / $1,800) * 100% = 16.67% (approx)
  • Year 5 Growth: (($2,500 – $2,100) / $2,100) * 100% = 19.05% (approx)

Sum of Annual Growth Rates = 20% + 25% + 20% + 16.67% + 19.05% = 100.72%

AAGR = 100.72% / 5 years = 20.14% (approx)

This means the investment grew by an average of 20.14% each year, without considering compounding.

function calculateAAGR() { var initialValue = parseFloat(document.getElementById("initialValue").value); var finalValue = parseFloat(document.getElementById("finalValue").value); var numberOfYears = parseFloat(document.getElementById("numberOfYears").value); if (isNaN(initialValue) || isNaN(finalValue) || isNaN(numberOfYears) || numberOfYears <= 0 || initialValue <= 0) { document.getElementById("result").innerHTML = "Please enter valid positive numbers for all fields, and ensure the number of years is greater than zero."; return; } // To calculate AAGR directly from initial and final values without year-by-year data, // we can use a simplified approach that averages the total growth over the years. // This is a common interpretation when year-by-year data isn't available for AAGR. // However, the strict definition involves averaging individual year growths. // For this calculator, we'll provide the most common interpretation when only start/end values are given, // which is essentially the average rate of growth per year. var totalGrowth = finalValue – initialValue; var totalGrowthPercentage = (totalGrowth / initialValue) * 100; var aagr = totalGrowthPercentage / numberOfYears; document.getElementById("result").innerHTML = "Average Annual Growth Rate (AAGR): " + aagr.toFixed(2) + "%"; } .calculator-container { font-family: sans-serif; display: flex; flex-wrap: wrap; gap: 20px; padding: 20px; border: 1px solid #ccc; border-radius: 8px; background-color: #f9f9f9; } .calculator-form { flex: 1; min-width: 300px; padding: 20px; background-color: #fff; border-radius: 5px; box-shadow: 0 2px 5px rgba(0,0,0,0.1); } .calculator-explanation { flex: 2; min-width: 300px; padding: 20px; background-color: #fff; border-radius: 5px; box-shadow: 0 2px 5px rgba(0,0,0,0.1); } .form-group { margin-bottom: 15px; } .form-group label { display: block; margin-bottom: 5px; font-weight: bold; } .form-group input[type="number"] { width: calc(100% – 22px); padding: 10px; border: 1px solid #ccc; border-radius: 4px; box-sizing: border-box; } .calculator-form button { background-color: #4CAF50; color: white; padding: 10px 15px; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; margin-top: 10px; } .calculator-form button:hover { background-color: #45a049; } #result { margin-top: 20px; padding: 10px; border: 1px solid #ddd; background-color: #e9e9e9; border-radius: 4px; font-weight: bold; text-align: center; } .calculator-explanation h3 { margin-top: 0; color: #333; } .calculator-explanation h4 { margin-top: 15px; color: #555; } .calculator-explanation p, .calculator-explanation ul { line-height: 1.6; color: #444; } .calculator-explanation ul { margin-left: 20px; }

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