THE NUMORIX GUIDE
How to use the CAGR Calculator
Last reviewed September 14, 2026
What this calculator does
CAGR is the constant annual growth rate that would turn a beginning value into an ending value over the entered number of years: CAGR = (ending value / beginning value)^(1 / years) - 1.
Formula and method
CAGR is the constant annual growth rate that would turn a beginning value into an ending value over the entered number of years: CAGR = (ending value / beginning value)^(1 / years) - 1. It smooths the path into one annualized rate and does not describe the volatility between the endpoints.
Variables and inputs
Enter the beginning value, ending value, and elapsed years. Values must use the same currency or measurement basis, and the beginning value must be greater than zero for the logarithmic growth relationship to be meaningful.
Worked example
An amount growing from $10,000 to $15,000 over 5 years has CAGR = (15,000 / 10,000)^(1 / 5) - 1 = 0.0845, or about 8.45% per year.
How to interpret the result
CAGR is useful for comparing start-to-end growth across different time periods. It assumes reinvestment and hides interim gains, losses, and cash flows, so it should not be read as the actual return earned every year.
Common mistakes to avoid
Do not use the number of calendar dates as years without considering the elapsed period. Do not compare CAGR values when one series includes deposits or withdrawals and the other does not. Keep units consistent.
Assumptions and limitations
The calculation is a geometric annualization, not an investment forecast. It excludes fees, taxes, interim cash flows, and volatility unless those effects are already reflected in the two endpoint values.
Practical use and checks
CAGR turns a beginning value and an ending value into the constant annual rate that would connect them over a stated number of years. It is useful for comparing investments, revenue, membership, or a project metric across different time spans when the intermediate path is less important. Enter a starting value of $10,000, ending value of $15,000, and 5 years as a check. The calculator should return a CAGR of about 8.4472%, because 10,000 times 1.084472 raised to the fifth power is approximately 15,000. Total growth is $5,000, or 50%, but that 50% is not an annual return; compounding is what makes the annualized figure smaller. Use CAGR as a smoothing description, not as a claim that the value grew at the same rate every year. An investment that fell sharply and then recovered can have the same CAGR as a steady investment, with very different risk and cash-flow experience. The formula needs positive starting and ending values and a positive duration; the engine returns zero-style outputs for invalid or nonpositive inputs rather than explaining every data problem. It also does not include deposits, withdrawals, dividends, fees, inflation, or taxes. If capital was added during the period, use a cash-flow-aware return method instead of presenting CAGR as the investor's personal performance.