CAGR Calculator


Free CAGR calculator: find compound annual growth rate, beginning value, or ending value. See the formula and a worked example for how to calculate CAGR.

What Is CAGR (Compound Annual Growth Rate)?

CAGR stands for compound annual growth rate — sometimes searched for as “cumulative annual growth rate,” though compound is the correct term. It is the constant annual rate that turns a beginning value into an ending value over a chosen number of years, smoothing out year-to-year ups and downs into one comparable number.

This calculator solves for whichever value you don’t know: enter beginning value, ending value, and years to find CAGR, or enter CAGR and years with either value to solve for the other.

How to Calculate CAGR: Formula and Example

The formula is CAGR = (EV / BV)^(1 / n) − 1, where EV is ending value, BV is beginning value, and n is the number of years. For example, an investment growing from $1,000 to $1,300 over 3 years has a CAGR of about 9.14% — the single annual rate that would produce the same growth if compounded every year.

CAGR vs. Average Annual Growth Rate (AAGR)

Average annual growth rate (AAGR) is a simple average of each year’s percentage change, which ignores compounding. CAGR accounts for compounding by using only the beginning and ending values, so it better reflects the actual annual rate needed to get from one to the other — which is why CAGR is the standard way to compare investments, revenue, or user growth across different time periods.

CAGR formulas

$$CAGR = \left(\frac{EV}{BV}\right)^{1/n} - 1$$

Input
Tip: Select the radio next to beginning value, ending value, or CAGR to calculate that value from the other inputs and the selected period.
n
BV
CAGR
%
EV
Result
Compound annual growth rate
9.1393%

A value growing from 1000.00 to 1300.00 over 3 years has a CAGR of 9.1393%.

Absolute change300.00
Total growth30.00%
Growth multiple1.3000x
Fig. 1 · Growth breakdown

CAGR Calculator FAQ

What does CAGR mean?

CAGR means compound annual growth rate. It is the constant annual rate that turns a beginning value into an ending value over a selected period.

What is the CAGR formula?

The standard formula is CAGR = (EV / BV)^(1 / n) - 1, where BV is beginning value, EV is ending value, and n is years.

Can CAGR be negative?

Yes. If the ending value is lower than the beginning value, CAGR is negative and represents a smoothed annual decline.

What is the difference between CAGR and total growth?

Total growth shows the full percentage change from start to finish. CAGR annualizes that change into one comparable yearly rate.

Is CAGR the same as cumulative annual growth rate?

Not quite — CAGR stands for compound annual growth rate, not cumulative. The two names are often used interchangeably in search, but the calculation is the same: it finds the constant annual rate that compounds a beginning value into an ending value.

What is the difference between CAGR and average annual growth rate (AAGR)?

AAGR averages each year’s percentage change without accounting for compounding, so it can overstate real growth. CAGR uses only the beginning value, ending value, and number of years, which accounts for compounding and gives a more accurate annualized rate.


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