About the CAGR Calculator
Compound Annual Growth Rate is the standard way investors express how fast something grew per year, smoothing out any bumps along the way into one clean annualized number. Our CAGR Calculator finds that rate from a beginning value, ending value, and number of years.
How It Works
The calculator takes the ratio of ending value to beginning value, raises it to the power of one divided by the number of years, and subtracts one - mathematically finding the constant annual growth rate that would take the beginning value to the ending value over that exact time period.
Formula & Methodology
CAGR answers a specific question: what single, unchanging annual growth rate - applied every year with no fluctuation - would carry the beginning value to the ending value over the exact number of years given? It doesn't reflect the actual, likely bumpy path the value took to get there; it's a smoothed backward-looking summary, which is exactly what makes it useful for comparing two things that both had volatile years but different overall growth.
Step-by-Step: Calculating It By Hand
- 1Divide the ending value by the beginning value.
- 2Raise that ratio to the power of 1 divided by the number of years.
- 3Subtract 1 from the result.
- 4Multiply by 100 to express the answer as a percentage.
Examples
Investment growth
$10,000 growing to $25,000 over 8 years works out to a CAGR of about 12.1% - the smooth annual rate that explains the total growth.
Business or revenue growth
CAGR is equally useful outside investing - a company growing revenue from $2M to $5M over 5 years has a CAGR of roughly 20.1% per year.
Advantages
- Smooths out volatile year-to-year performance into one comparable number
- Works for any two values over any time period - investments, revenue, populations, anything that grows
- The standard metric used across finance and business for growth comparisons
- Simple three-input calculation with an instant, precise result
Common Mistakes
- Assuming CAGR represents the actual return in any single year - it's a smoothed average, not a real year-by-year figure
- Using CAGR to compare investments with very different risk levels, which it doesn't capture
- Confusing CAGR with a simple average of yearly percentage returns, which produces a different (and less accurate) number
- Applying CAGR across periods that include one-time, non-repeatable events (like a single huge gain)
Edge Cases to Watch For
- CAGR says nothing about volatility along the way - two investments with identical CAGR can have had wildly different year-to-year experiences.
- A single extreme outlier year (a crash or a spike) can distort CAGR calculated over a short period more than it would over a longer one.
- CAGR requires both values to be positive and the ending value calculation breaks down (or becomes meaningless) if the beginning value is zero.
- Averaging several individual years' percentage returns arithmetically gives a different, generally higher number than the true CAGR over the same period - the two aren't interchangeable.
Common Use Cases
- Measuring an investment's true annualized growth rate
- Comparing growth rates across different companies, funds, or time periods
- Business and revenue growth analysis
- Academic and financial modeling exercises