CAGR Calculator: A Practical Guide
Use the CAGR Calculator to find the constant annual growth rate that connects a positive starting value with a positive ending value over a chosen number of years. CAGR summarizes endpoints; it does not reveal the path taken between them.
How to Use CAGR Calculator
- Enter Beginning value and Ending value.
- Enter the elapsed duration in Years.
- Select Calculate CAGR.
- Compare the annualized rate with the overall change and the actual history.
Annualized Growth from Two Endpoints
CAGR = ((ending value ÷ beginning value)^(1 ÷ years) − 1) × 100. Both values and the time must be positive in this calculator.
The rate describes a hypothetical smooth path. It can conceal large interim rises and falls. Adding or withdrawing money during the period also makes endpoint-only investment performance misleading; this form does not calculate cash-flow-adjusted returns.
Worked Example
A value rising from 10000 to 12100 over two years has CAGR of 10%, because 10000 × 1.10 × 1.10 = 12100.
Its overall gain is 21%, not 20%. Simply dividing 21% by two gives 10.5%, which is an arithmetic shortcut rather than the compounded annual rate.
Measure total percentage return: use the ROI Calculator.
Compare two values without annualizing: use the Percentage Change Calculator.
Checks and Common Mistakes
- Use the actual elapsed years, not the number of calendar labels crossed.
- Do not enter zero or negative endpoints.
- Treat falling positive endpoints as a negative CAGR, not a calculation failure.
- Do not use endpoint growth as investment performance when substantial cash flows occurred.
Frequently Asked Questions
Can CAGR be negative?
Yes. A smaller positive ending value gives a negative annualized rate. For example, 100 to 81 over two years gives -10%.
Does CAGR measure volatility?
No. Two histories with the same endpoints and duration have the same CAGR even if one fluctuated much more.
Can I use a fraction of a year?
The form accepts a positive duration. Very short periods can produce exaggerated annualized rates, so report the original interval too.
Related Tools for the Next Step
- ROI Calculator: Measure total percentage return.
- Percentage Change Calculator: Compare two values without annualizing.
- Compound Interest Calculator: Check a constant-rate growth path.
- SIP Calculator: Explore repeated contribution assumptions.
Reference
Further reading: Investor.gov compound interest calculator.