An investment grew from $10,000 to $20,000 in five years. Is that a 100% return โ or something else? The honest answer is 14.9% per year, and the tool that gives it to you is the compound annual growth rate (CAGR). Here is what it is, why it beats every other way of quoting returns, and how to calculate it.
What Is CAGR?
CAGR is the smooth annual growth rate that would turn a starting value into an ending value over a given number of years โ as if the investment grew by the same percentage every single year.
It doesn't matter whether the actual year-by-year numbers bounced between +40% and โ20%. CAGR compresses all that volatility into one clean, comparable annual figure.
The CAGR Formula
CAGR = (Ending Value รท Beginning Value)^(1 รท Years) โ 1
Multiply by 100 to get a percentage.
Example: $10,000 โ $20,000 in 5 Years
CAGR = (20,000 รท 10,000)^(1 รท 5) โ 1
CAGR = 2^(0.2) โ 1 = 1.1487 โ 1 = 14.87% per year
That single number tells you: growing 14.87% every year for five years takes $10,000 to $20,000. The CAGR Calculator does this in one click โ including fractional years and partial-year periods.
Why CAGR Beats 'Total Return'
Two investments can have the same total return but very different quality:
| Investment | Total Return | Years | CAGR |
|---|---|---|---|
| A | 100% | 10 years | 7.2% |
| B | 100% | 4 years | 18.9% |
Same headline, completely different performance. Quoting the total return without the time frame is like giving a car's top speed without the distance โ technically true, practically misleading.
CAGR vs. the Simple Average
The simple average of yearly returns overstates growth whenever returns vary. Consider three years: +30%, โ30%, +30%.
- Simple average: (+30 โ 30 + 30) รท 3 = +10% per year โ
- Actual: $1,000 โ $1,300 โ $910 โ $1,183 โ 5.8% CAGR โ
The average says you gained 10% a year; compounding says you barely beat 5%. The gap exists because percentage losses compound against you โ a โ30% year needs a +43% year just to get back to even. This is why CAGR, not the arithmetic average, is the honest measure of growth.
CAGR for Partial Periods and Growth Targets
You can use CAGR for any length of time โ months, quarters, or years. For a period measured in days, use years = days รท 365.25 in the formula.
It also works backwards. Want to know what growth rate turns $5,000 into $10,000 in 3 years? Same formula, same answer: 2^(1/3) โ 1 = 26.0% per year. That's the rate a plan needs to hit โ and the number behind every "double your money in X years" promise.
๐ก Pro Tip: The Rule of 72 is CAGR's fast cousin โ divide 72 by the annual growth rate to estimate doubling time. At 8% CAGR: 72 รท 8 = about 9 years to double. It's an approximation, but a remarkably good one.
What CAGR Doesn't Tell You
CAGR smooths away the journey, and sometimes the journey matters:
- It hides volatility โ a 40% CAGR with a โ50% year along the way is riskier than a steady 12%
- It assumes reinvestment โ if you spent the dividends instead of reinvesting them, your realized return is lower
- It says nothing about the future โ past CAGR is a record, not a forecast
- It ignores cash flows โ for investments with deposits and withdrawals along the way, metrics like Net Present Value or IRR are more accurate
For risk-adjusted comparisons, pair CAGR with volatility measures like the Sharpe Ratio Calculator โ a high CAGR with crushing drawdowns may not be the better investment.
Typical CAGR Reference Points
Long-run CAGR figures help you sanity-check any quote:
| Investment | Long-run CAGR (approx.) |
|---|---|
| Cash / money market | 3โ5% |
| Government bonds | 3โ6% |
| Broad stock market | ~7โ10% |
| Growth stocks | 10โ15%+ (with far more volatility) |
| Early-stage startups | 20%+ (most fail) |
Anyone promising a guaranteed CAGR far above these ranges is describing a miracle, not an investment.
Try Our CAGR Calculator
Our CAGR Calculator helps you:
- Enter beginning value, ending value, and years (including fractional periods)
- See the exact CAGR plus total return and total gain in one view
- Compare investments of different sizes and time frames
- Reverse-engineer the growth rate needed to hit a savings target
Related Reading
- ROI Calculator: How to Measure the Return on Your Investment
- Investment Calculator: Project Your Portfolio Growth
- Compound Interest: How Your Money Grows Exponentially
- Net Present Value (NPV): How to Value a Project
- Retirement Calculator: How Much Do You Really Need?
- Dividend Yield: What It Tells You About a Stock
For the official definition and worked examples, Investopedia's CAGR explainer and the compound annual growth rate entry on Wikipedia are excellent references.
*Find the honest growth rate of any investment with our free CAGR Calculator.*
