CAGR Calculator
Calculate the compound annual growth rate of an investment or business over time.
What is CAGR?
Compound Annual Growth Rate (CAGR) is the mean annual growth rate of an investment over a specified period longer than one year. It represents one of the most accurate ways to calculate and determine the return on an investment that can rise or fall in value over time. CAGR smooths out the effect of volatility, providing a single annualized figure that describes the rate at which an investment would have grown if it had grown at a steady rate.
How the CAGR Formula Works
The calculator uses the standard CAGR formula:
CAGR = (Ending Value / Beginning Value)(1 / Number of Years) - 1
This formula assumes the investment grows at a constant rate each year. It does not account for the actual path of returns, which may include periods of loss or high gain. The result is expressed as a percentage.
How to Use the CAGR Calculator
- Enter the Beginning Value of your investment at the start of the period.
- Enter the Ending Value of your investment at the end of the period.
- Enter the Number of Years the investment was held.
- The calculator will display the compound annual growth rate as a percentage.
Example Calculation
An investment of $10,000 grows to $19,500 over 5 years.
CAGR = (19,500 / 10,000)(1 / 5) - 1
CAGR = (1.95)0.2 - 1
CAGR ≈ 1.143 - 1
CAGR ≈ 0.143 or 14.3%
This means the investment grew at an average annual rate of 14.3% per year over the 5-year period.
Understanding Your Results
CAGR provides a smoothed annualized return. A higher CAGR indicates stronger growth, but it does not reflect the risk or volatility experienced during the period. Two investments with the same CAGR may have had very different paths to that return. Use CAGR as a comparative metric, not a predictor of future performance.
Common Mistakes When Using CAGR
- Using incorrect time periods: The number of years must be accurate. Using months instead of years will produce a misleading result.
- Ignoring cash flows: CAGR works best for investments with no additional contributions or withdrawals during the period. Irregular cash flows distort the calculation.
- Comparing investments of different durations: CAGR is annualized, but comparing a 3-year CAGR to a 10-year CAGR can be misleading due to different market conditions.
- Treating CAGR as actual annual returns: CAGR is an average. Actual returns in any single year may be significantly higher or lower.
Limitations of CAGR
CAGR does not account for investment risk, volatility, or the timing of returns. It assumes a smooth growth path, which rarely occurs in real markets. For investments with multiple cash flows, such as dividend reinvestment or periodic contributions, internal rate of return (IRR) or time-weighted return may be more appropriate metrics.
Practical Use Cases
- Investment performance comparison: Compare the annualized growth of stocks, mutual funds, or portfolios over the same period.
- Business revenue growth: Measure the compound annual growth rate of company revenue over multiple fiscal years.
- Market analysis: Evaluate the growth rate of market segments, industries, or economic indicators.
- Goal tracking: Determine if an investment has met a target annualized return over a specific holding period.
FAQ
What is the difference between CAGR and average annual return?
Average annual return simply adds up annual returns and divides by the number of years. CAGR accounts for compounding, providing a more accurate picture of growth over time. CAGR is typically lower than the arithmetic average when returns are volatile.
Can CAGR be negative?
Yes. If the ending value is lower than the beginning value, the CAGR will be negative, indicating a loss over the period.
Does CAGR include dividends?
CAGR only reflects the change in value from the beginning to the end of the period. To include dividends, you must add them to the ending value or reinvest them before calculating.
What time period should I use for CAGR?
Use full years for the most accurate result. Partial years can be entered as decimals (e.g., 2.5 years), but the calculation assumes constant growth over that fractional period.
Is CAGR the same as annualized return?
Yes. CAGR and annualized return are often used interchangeably. Both describe the geometric average annual rate of return over a specified period.