If you want to compare investment performance across different time periods, the compound annual rate (often called CAGR, or compound annual growth rate) is one of the most useful numbers you can calculate. Use the calculator below to find the annualized growth rate from a starting value to an ending value over a set number of years.
CAGR Calculator
What is a compound annual rate?
The compound annual rate is the single annual percentage that links your beginning value to your ending value over time. It assumes growth compounds each year at a constant rate, even though real returns usually vary from year to year.
In plain terms: if your investment had grown at the same steady rate every year, what would that yearly rate need to be to end up where you are now?
The formula
The standard CAGR formula is:
CAGR = (Ending Value / Starting Value)1 / Years - 1
Then multiply by 100 to convert it to a percentage.
Example
- Starting value: $10,000
- Ending value: $18,000
- Years: 5
CAGR = (18,000 / 10,000)1/5 - 1 = 0.1247, or 12.47% per year.
Why CAGR is so useful
Raw return numbers can be misleading. A 40% total gain over two years means something very different from a 40% total gain over ten years. CAGR solves this by annualizing performance.
- Compare investments fairly: Stocks, funds, real estate, or business projects can be compared on equal footing.
- Plan long-term goals: Estimate what growth rate you need to hit retirement or savings targets.
- Evaluate historical results: Understand how efficiently your money grew over time.
CAGR vs average annual return
Many people confuse these two metrics:
- Arithmetic average return is just the average of yearly percentages.
- CAGR accounts for compounding and path dependency from start to finish.
Because of volatility, arithmetic average return is usually higher than CAGR for the same investment history. CAGR is generally more realistic for long-term planning.
How to use this calculator correctly
1) Enter accurate beginning and ending values
Use values from the same basis. For example, both pre-tax or both after-tax; both excluding withdrawals or both including them.
2) Use the exact time period
If your investment lasted 3 years and 6 months, use 3.5 years. Even small time differences can change the annualized rate.
3) Interpret negative results properly
If ending value is lower than starting value, CAGR will be negative. That indicates average annual decline, not just one bad year.
Common mistakes to avoid
- Comparing CAGR across investments with very different risk profiles.
- Ignoring fees, taxes, and inflation.
- Assuming CAGR predicts future performance with certainty.
- Using rounded or estimated dates that distort annualization.
Quick interpretation guide
- 0% CAGR: No net growth over the period.
- Positive CAGR: The value increased on an annualized basis.
- Negative CAGR: The value decreased on an annualized basis.
Remember: CAGR is backward-looking when based on historical data. It is best used alongside volatility, drawdown, cash flow, and risk analysis.
Final thoughts
A compound annual rate calculator gives you a fast, consistent way to measure growth and compare opportunities. If you use it with high-quality data and realistic expectations, it becomes a powerful decision tool for personal finance, investing, and business planning.
Bookmark this page and use it anytime you need to annualize performance over multiple years.