CAGR Calculator (Compound Annual Growth Rate)
Compound Annual Growth Rate Calculator
Calculate CAGR, a future value, or a starting value from a consistent compounded growth path, with a transparent projection and Excel export.
Growth assumptions
Choose the value to solve for, then enter the other assumptions.
The smoothed annual rate. This becomes an input when solving for a value.
Use the elapsed horizon; changing units converts the current value.
The starting investment, revenue, users, valuation, or other positive base.
The ending value after the full period. It may be below the initial value.
Live results use annual compounding. Months are converted to fractional years.
Results
All metrics update immediately from the same calculation model.
Annualized over 3.00 years
Final value minus initial value
Unsmoothened change across the full horizon
Final value divided by initial value
At the calculated positive CAGR
A constant annual rate of 9.14% compounds $1,000.00 to $1,300.00 in 3.00 years.
Compounded value path
The projection shows the smooth annual path implied by the calculated CAGR.
Projection table
Annual checkpoints plus the exact final period when the horizon is fractional.
| Period | Projected value | Change from start | Cumulative growth |
|---|
How to use and interpret the CAGR calculator
Compound annual growth rate, or CAGR, converts the change between a starting value and an ending value into one constant annualized rate. It answers a practical comparison question: “What steady yearly rate would connect these two values over this time horizon?” CAGR is widely used for investments, revenue, customers, market size, website traffic, operating metrics, and other quantities that grow or decline over multiple periods.
Choosing what to solve for
Use the Solve for control to select CAGR, final value, or initial value. The selected field becomes read-only and is calculated from the other assumptions. Solving for CAGR is the standard historical analysis. Solving for final value turns the model into a forward projection. Solving for initial value works backward from a known target and annual rate. All three modes use the same compound-growth identity, so switching modes does not introduce a different financial assumption.
Input guide
- Compound annual growth rate: Enter an annual percentage when solving for a starting or final value. Positive rates imply growth, zero implies no change, and rates between 0% and -100% imply decline. A rate of -100% would reduce a positive value to zero and cannot be inverted reliably, so the calculator treats it as outside the valid range for projection modes.
- Number of periods: Enter the elapsed horizon as years or months. This value is required and must be greater than zero. The month option converts the horizon to fractional years by dividing by 12. Changing the unit converts the current number instead of simply relabeling it, which keeps the calculation unchanged.
- Initial value: Enter the positive beginning amount. It can represent money or any other consistently measured quantity. When calculating CAGR, a zero or negative starting value is not valid because the ratio and fractional root would be undefined or economically misleading.
- Final value: Enter the ending amount after the complete horizon. For conventional CAGR, the final value should also be positive. A lower final value produces a negative CAGR; an equal final and initial value produces 0%.
Understanding the results
The primary result is whichever variable you selected. When CAGR is selected, it is the annualized rate that compounds the starting value into the ending value. The absolute change is final value minus initial value; it can be negative. Total growth expresses that same full-period change as a percentage of the initial value. The growth multiple shows how many times the initial value the final value represents. A multiple of 1.30× means the ending value is 130% of the start. Doubling time estimates how long a positive constant CAGR would need to double a value; it is not meaningful for zero or negative growth.
The chart plots the smooth path implied by annual compounding. The table exposes the same underlying model at annual checkpoints, including the exact final point for a fractional horizon. Because CAGR deliberately smooths volatility, neither the chart nor the table should be mistaken for actual period-by-period performance.
The formula in practical terms
The core relationship is final value = initial value × (1 + CAGR)years. Rearranging it gives CAGR = (final value ÷ initial value)1/years − 1. The exponent matters because compounding means each period’s growth applies to the accumulated value, not only to the original base. For example, $1,000 growing to $1,300 in three years has 30% total growth, but its CAGR is about 9.14%, not 10%, because the annual gains compound.
Benefits, limitations, and common mistakes
CAGR is useful because it standardizes growth across different horizons and makes broad comparisons easier. However, it hides the path between the endpoints. Two investments can have the same CAGR while one is stable and the other is highly volatile. CAGR also does not account for interim deposits, withdrawals, dividends, or cash flows. For irregular cash flows, an internal rate of return or money-weighted return is usually more appropriate.
Common mistakes include counting observations instead of elapsed periods, mixing monthly and annual units, using values measured on inconsistent dates, and treating CAGR as a forecast guarantee. For business metrics, use comparable periods and consistent definitions. For investments, consider fees, taxes, inflation, risk, and cash flows separately.
Further reading
For broader context, review the U.S. Securities and Exchange Commission’s investor education materials on compound interest, the Federal Reserve’s explanation of consumer and financial concepts, and Investopedia’s overview of compound annual growth rate. These resources can help place the calculator’s smoothed result in a broader decision-making context.
This tool provides general educational calculations and is not personalized investment, tax, accounting, or legal advice.