Compound Annual Growth Rate (CAGR) Calculator
Understanding Compound Annual Growth Rate (CAGR)
The Compound Annual Growth Rate (CAGR) is a popular metric used to measure the average annual growth of an investment or a business over a specified period longer than one year. It represents the smoothed-out annual rate of return that would have been required for an investment to grow from its beginning balance to its ending balance, assuming the profits were reinvested at the end of each year of the investment's lifespan.
Why is CAGR Important?
CAGR is crucial because it:
- Smooths out volatility: It provides a single, representative growth rate, unlike simple arithmetic averages which can be distorted by large fluctuations.
- Facilitates comparison: It allows for easy comparison of the performance of different investments or businesses over the same time frame.
- Helps in forecasting: While not a predictor of future performance, it can be used as a basis for future projections.
How is CAGR Calculated?
The formula for CAGR is as follows:
CAGR = [ (Ending Value / Starting Value) ^ (1 / Number of Years) ] – 1
In our calculator:
- Starting Value: This is the initial value of your investment or metric at the beginning of the period.
- Ending Value: This is the final value of your investment or metric at the end of the period.
- Number of Years: This is the total duration of the investment period in years.
Example Calculation
Let's say you invested $10,000 (Starting Value) in a stock that grew to $25,000 (Ending Value) over 5 years (Number of Years).
Using the formula:
CAGR = [ ($25,000 / $10,000) ^ (1 / 5) ] – 1
CAGR = [ (2.5) ^ (0.2) ] – 1
CAGR = [ 1.2011 ] – 1
CAGR = 0.2011 or 20.11%
This means your investment grew at an average annual rate of 20.11% over the 5-year period.
When to Use CAGR
CAGR is commonly used to analyze:
- Investment portfolio performance
- Company revenue growth
- Profitability trends
- Market share expansion
- Any metric that shows growth over multiple periods.
function calculateCAGR() {
var startingValue = parseFloat(document.getElementById("startingValue").value);
var endingValue = parseFloat(document.getElementById("endingValue").value);
var numberOfYears = parseFloat(document.getElementById("numberOfYears").value);
var resultDiv = document.getElementById("result");
resultDiv.innerHTML = ""; // Clear previous results
if (isNaN(startingValue) || isNaN(endingValue) || isNaN(numberOfYears) || startingValue <= 0 || endingValue < 0 || numberOfYears <= 0) {
resultDiv.innerHTML = "Please enter valid positive numbers for all fields. Starting value must be greater than 0 and ending value must be non-negative.";
return;
}
// Calculate CAGR
var cagr = Math.pow((endingValue / startingValue), (1 / numberOfYears)) – 1;
// Format the result as a percentage
var formattedCAGR = (cagr * 100).toFixed(2);
resultDiv.innerHTML = "
Result:
Your Compound Annual Growth Rate (CAGR) is:
" + formattedCAGR + "%";
}
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