For informational purposes only. Not financial, investment, or tax advice. Results are estimates based on the inputs provided. Consult a qualified financial professional before making financial decisions.
Calculator tool
How this calculator works
Use the explanation to understand the formula, assumptions, and practical limits behind the calculator result.
What This Calculator Measures
This calculator returns compound annual growth rate (CAGR) plus total return. CAGR answers one narrow question: what steady annual rate would turn the starting value into the ending value over the selected period?
Formula Used
Where:
- - initial value
- - final value
- - years
Total return is:
Why CAGR Is Different From a Simple Average
A simple average of yearly percentages can mislead when gains and losses compound. If an investment rises 50% and then falls 50%, the arithmetic average is 0%, but the ending value is still 25% below where it began. CAGR reflects the start-to-finish result instead of averaging the yearly percentages.
Worked Example
| Item | Value |
|---|---|
| Initial value | 10,000 USD |
| Final value | 18,000 USD |
| Period | 5 years |
| Total return | 80.00% |
| CAGR | about 12.47% |
When CAGR Is the Right Metric
Use CAGR when you have one beginning value, one ending value, and no intermediate cash flows to model. If money was added or withdrawn during the period, CAGR can hide the timing effect. Use the IRR Calculator when cash-flow timing matters.
What This Calculator Does Not Show
- Volatility during the path between the two endpoints
- Contributions, withdrawals, dividends taken out, or taxes
- Risk, drawdowns, or whether the result came from one smooth path or a rough one
Related Calculators
Use the IRR Calculator for multiple cash flows, the ROI Calculator for simple gain versus cost, and the Investment Calculator for forward projections with recurring contributions.
Frequently asked questions
Is CAGR the same as average annual return?
Not always. CAGR is an annualized start-to-finish growth rate. A simple average return just averages yearly percentages and can overstate what actually happened after gains and losses compound.
Can CAGR be negative?
Yes. If the final value is lower than the initial value, CAGR is negative because the investment shrank on an annualized basis over the selected period.
When should I use IRR instead of CAGR?
Use IRR when there are deposits, withdrawals, or project cash flows during the period. CAGR only works cleanly for one start value and one end value with no intermediate timing to consider.
Why can two investments have the same CAGR but feel different?
CAGR compresses the entire path into one annualized number. Two investments can finish with the same CAGR even if one moved smoothly and the other had much larger swings, so review risk separately.
