Average Annual Growth Rate Calculator

What is the Average Annual Growth Rate (AAGR)?

The Average Annual Growth Rate (AAGR), often referred to as the compound annual growth rate (CAGR) when growth is compounded, is a measure of the average yearly increase in value of an investment or a metric over a specified period longer than one year. It smooths out the fluctuations that can occur from year to year, providing a single, representative growth rate.

AAGR is particularly useful for comparing the performance of different investments or tracking the progress of a business metric over time. It helps to understand the underlying trend of growth, ignoring short-term volatility.

How is AAGR Calculated?

The formula for AAGR is derived from the compound interest formula. For CAGR, the formula is:

AAGR = (Ending Value / Beginning Value)^(1 / Number of Years) - 1

Where:

  • Ending Value: The value of the investment or metric at the end of the period.
  • Beginning Value: The value of the investment or metric at the start of the period.
  • Number of Years: The total number of years over which the growth is measured.

It's important to note that if the growth is not compounded, a simpler arithmetic mean of the year-on-year growth rates would be used. However, in financial and business contexts, the compounded growth rate (CAGR) is more commonly used and what this calculator computes.

When to Use the AAGR Calculator:

  • To understand the consistent growth rate of your investments over several years.
  • To compare the historical performance of different stocks, mutual funds, or business units.
  • To project future values based on historical growth trends.
  • To analyze the growth of revenue, profit, user base, or any other metric over time.

AAGR Calculator

function calculateAAGR() { var beginningValue = parseFloat(document.getElementById("beginningValue").value); var endingValue = parseFloat(document.getElementById("endingValue").value); var numberOfYears = parseFloat(document.getElementById("numberOfYears").value); var resultDiv = document.getElementById("result"); if (isNaN(beginningValue) || isNaN(endingValue) || isNaN(numberOfYears)) { resultDiv.innerHTML = "Please enter valid numbers for all fields."; return; } if (beginningValue <= 0) { resultDiv.innerHTML = "Beginning value must be greater than zero."; return; } if (numberOfYears <= 0) { resultDiv.innerHTML = "Number of years must be greater than zero."; return; } if (endingValue < 0) { resultDiv.innerHTML = "Ending value cannot be negative."; return; } var aagr = Math.pow((endingValue / beginningValue), (1 / numberOfYears)) – 1; if (isNaN(aagr)) { resultDiv.innerHTML = "Calculation error. Please check your inputs."; } else { resultDiv.innerHTML = "Average Annual Growth Rate (AAGR): " + (aagr * 100).toFixed(2) + "%"; } } .calculator-container { display: flex; flex-wrap: wrap; gap: 20px; font-family: sans-serif; margin-bottom: 30px; } .article-content { flex: 1; min-width: 300px; background-color: #f9f9f9; padding: 15px; border-radius: 8px; border: 1px solid #e0e0e0; } .article-content h2, .article-content h3 { color: #333; margin-bottom: 10px; } .article-content p, .article-content ul { color: #555; line-height: 1.6; } .article-content ul { padding-left: 20px; } .calculator-inputs { flex: 0 0 300px; background-color: #ffffff; padding: 20px; border-radius: 8px; border: 1px solid #cccccc; box-shadow: 0 2px 5px rgba(0,0,0,0.1); } .calculator-inputs h2 { text-align: center; color: #333; margin-top: 0; margin-bottom: 20px; } .input-group { margin-bottom: 15px; } .input-group label { display: block; margin-bottom: 5px; font-weight: bold; color: #555; } .input-group input[type="number"] { width: 100%; padding: 8px; border: 1px solid #ccc; border-radius: 4px; box-sizing: border-box; /* Include padding and border in the element's total width and height */ } .calculator-inputs button { width: 100%; padding: 10px 15px; background-color: #007bff; color: white; border: none; border-radius: 4px; cursor: pointer; font-size: 16px; margin-top: 10px; transition: background-color 0.3s ease; } .calculator-inputs button:hover { background-color: #0056b3; } .calculator-result { margin-top: 20px; padding: 10px; background-color: #e9ecef; border: 1px solid #ced4da; border-radius: 4px; text-align: center; font-size: 1.1em; color: #333; } .calculator-result strong { color: #007bff; }

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