Annualizing multi-year revenue or value growth
Use the result as a check within this type of task, with the assumptions shown above.
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CAGR Calculator
Calculate compound annual growth rate from positive starting value, ending value and investment period.
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Formula and working
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Inputs
Results
8.4471771% CAGR
Beginning value: 1,000
Ending value: 1,500
Growth multiple: 1.5×
Total change across the full period: 50%
Show the working
- 1. Growth multiple = 1,500 ÷ 1,000 = 1.5.
- 2. CAGR = (1.5)^(1/5) − 1 = 0.084471771.
- 3. CAGR percentage = 8.4471771%.
CAGR is a smoothed annualized rate between two endpoints; it does not describe year-by-year volatility or cash flows between those endpoints.
For investments with deposits or withdrawals during the period, an internal-rate-of-return method may be more appropriate.
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How to use this calculator
Convert the change between a positive beginning value and positive ending value into one smoothed annualized growth rate over the entered number of years. CAGR is an endpoint measure: it does not reveal the path, volatility or intermediate cash flows.
Step-by-step
- Step 1
Enter a positive beginning value and ending value.
- Step 2
Enter the elapsed period in years.
- Step 3
Read CAGR together with the total growth multiple and total percentage change so the annualized number is not mistaken for the full-period return.
How the result is calculated
CAGR = (ending value ÷ beginning value)^(1/years) − 1.
Where this calculator is useful
Comparing endpoint growth rates over equal or clearly stated horizons
Use the result as a check within this type of task, with the assumptions shown above.
Checking the difference between total return and annualized compounded growth
Use the result as a check within this type of task, with the assumptions shown above.
Common questions
Is CAGR the same as average yearly return?
CAGR is the constant compounded annual rate that links the beginning and ending values. It is not the arithmetic average of actual yearly returns.
Does CAGR show volatility?
No. Two paths with very different year-to-year swings can have the same beginning value, ending value and CAGR.
Can CAGR handle contributions or withdrawals during the period?
Not by itself. When meaningful cash flows occur between the endpoints, a cash-flow-aware return method such as IRR or XIRR may be more appropriate.
Need a different calculation?
Use the calculator library to switch tasks when the question, unit or assumption changes.
Browse all calculatorsCommon growth-rate questions
CAGRannualized growth rategrowth from start to end valuemulti-year growth
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