CAGR is the constant annual rate that links a beginning value to an ending value over a stated number of years; it hides the path between them and does not by itself handle deposits or withdrawals. Growing $10,000 to $14,641 over 4 years gives a 10.00% CAGR even if one intermediate year fell 30.00%.
What cagr vs annualized return means
Compound annual growth rate (CAGR) is the steady annual rate that would turn a starting value into an ending value over a specified period. CAGR annualizes one start-to-end change; annualized return can mean different methods, so its cash-flow and compounding convention must be named.
| Beginning value | $10,000 |
|---|---|
| Ending value | $14,641 |
| Period | 4 years |
| CAGR | 10.00% |
| Intermediate decline example | 30.00% |
CAGR vs. annualized return: what a smooth growth rate hides: worked example
A portfolio starts at $10,000 and ends at $14,641 after 4 years. The ratio is 1.4641, and 1.4641 raised to the one-quarter power minus 1 equals 10.00%. A possible path of +40%, -30%, +40%, and +7.58% reaches the same ending amount approximately, yet its annual experience is visibly unlike four smooth 10.00% years.
How to calculate cagr vs annualized return
CAGR = (ending value divided by beginning value) raised to one divided by years, minus 1. Use it only when beginning value, ending value, and period refer to the same invested capital. If cash enters or leaves during the period, record each cash-flow date and use a measure designed for that question.
Use the relevant inputs with these related Calculatort pages: CAGR calculator · investment-return tool · dividend-yield calculation.
Read the numbers before making a decision
Beginning value check 1. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 1 when it examines beginning value at $10,000, ending value at $14,641, and period at 4 years. Identify the unit for beginning value in pass 1 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 1, recording the changed beginning value makes the result traceable rather than a headline number.
Ending value check 2. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 2 when it examines ending value at $14,641, period at 4 years, and cagr at 10.00%. Identify the unit for ending value in pass 2 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 2, recording the changed ending value makes the result traceable rather than a headline number.
Period check 3. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 3 when it examines period at 4 years, cagr at 10.00%, and intermediate decline example at 30.00%. Identify the unit for period in pass 3 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 3, recording the changed period makes the result traceable rather than a headline number.
CAGR check 4. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 4 when it examines cagr at 10.00%, intermediate decline example at 30.00%, and beginning value at $10,000. Identify the unit for cagr in pass 4 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 4, recording the changed cagr makes the result traceable rather than a headline number.
Intermediate decline example check 5. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 5 when it examines intermediate decline example at 30.00%, beginning value at $10,000, and ending value at $14,641. Identify the unit for intermediate decline example in pass 5 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 5, recording the changed intermediate decline example makes the result traceable rather than a headline number.
Beginning value check 6. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 6 when it examines beginning value at $10,000, ending value at $14,641, and period at 4 years. Identify the unit for beginning value in pass 6 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 6, recording the changed beginning value makes the result traceable rather than a headline number.
Ending value check 7. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 7 when it examines ending value at $14,641, period at 4 years, and cagr at 10.00%. Identify the unit for ending value in pass 7 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 7, recording the changed ending value makes the result traceable rather than a headline number.
Period check 8. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 8 when it examines period at 4 years, cagr at 10.00%, and intermediate decline example at 30.00%. Identify the unit for period in pass 8 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 8, recording the changed period makes the result traceable rather than a headline number.
CAGR check 9. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 9 when it examines cagr at 10.00%, intermediate decline example at 30.00%, and beginning value at $10,000. Identify the unit for cagr in pass 9 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 9, recording the changed cagr makes the result traceable rather than a headline number.
Intermediate decline example check 10. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 10 when it examines intermediate decline example at 30.00%, beginning value at $10,000, and ending value at $14,641. Identify the unit for intermediate decline example in pass 10 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 10, recording the changed intermediate decline example makes the result traceable rather than a headline number.
Beginning value check 11. A growth-rate check keeps the starting balance, ending balance, and uninterrupted period together; intermediate gains and losses remain part of the story on pass 11 when it examines beginning value at $10,000, ending value at $14,641, and period at 4 years. Identify the unit for beginning value in pass 11 before changing a number: dollars, shares, months, a percentage, or a tax category. In check 11, recording the changed beginning value makes the result traceable rather than a headline number.
Common mistakes
Do not call total return CAGR, divide total percentage gain by years, treat CAGR as an average of yearly returns, or use a period shorter than a year without naming the convention.
Where this calculation stops
CAGR cannot reveal volatility, drawdowns, sequence risk, fees, taxes, valuation timing, or cash-flow timing. A historical rate is not a forecast.
Source and verification
Investor.gov warns that investment return measures require stated periods and risk context; Calculatort's CAGR tool uses the disclosed start value, end value, and years to solve the compound rate. Read the named source. For this illustration, verify the source date and the controlling record for beginning value before relying on the result.