What this calculator measures
Compound annual growth rate is the constant annual rate that would transform a starting value into an ending value over the selected number of years. It smooths the path and does not show volatility between those endpoints.
CAGR can compare growth in revenue, customers, traffic, investment value, or other positive measures. The starting value must be greater than zero for the standard formula used here.
Common use cases
Use this model when the inputs describe the same decision, period and customer or product scope.
- Normalize start-to-end growth into an annualized rate for revenue, users, traffic or investments.
- Compare assets or business metrics across different multi-year periods using consistent endpoints.
- Pair CAGR with the underlying year-by-year path because it hides volatility and interim losses.
Formula
CAGR expresses a smoothed annual growth rate even when actual year-to-year growth was uneven.
Formula breakdown
- Beginning and ending values should be positive and measured over the stated number of years.
- CAGR is a smoothed annualized rate, not an arithmetic average of yearly changes.
Worked example
A value grows from 10,000 to 18,000 over three years. Total growth is 80%, while CAGR is (18,000 ÷ 10,000)^(1 ÷ 3) − 1 = about 21.64% per year. Actual annual changes may have been very different.
Scenario comparison
Growth from $100,000 to $150,000 over 3 years is roughly 14.5% CAGR.
The actual path can still contain a large decline and rebound.
How to interpret the result
Use CAGR for a compact endpoint comparison, then inspect year-by-year results. Two businesses can have the same CAGR while one grows steadily and the other falls sharply before recovering.
Do not treat CAGR as a forecast without additional assumptions. It describes the entered endpoints and period rather than predicting future growth.
What a good result looks like
Useful CAGR is sustainable and supported by underlying economics.
Compare with inflation, market growth and margin trends when relevant.
Common mistakes
- Treating CAGR as a forecast.
- Using it when the beginning value is zero or negative.
When this metric can mislead you
CAGR hides volatility and the sequence of returns.
Two businesses can have the same CAGR with very different risk.
How to use the result in a decision
Use CAGR to summarize multi-year growth consistently.
Review annual data alongside the smoothed rate.
Assumptions and limitations
- Starting value is greater than zero.
- Starting and ending values use the same definition and units.
- The period is measured in years or a consistent year fraction.
- Intermediate volatility, cash flows, and risk are not represented.