See Also:

Price Earnings Growth Ratio Analysis

Value Drivers: Building Reliable Systems to Sustain the Growth of the Business

Income Statement

Balance Sheet

Cash Flow Statement

# Compound Annual Growth Rate Definition (CAGR) Definition

The compound annual growth rate (CAGR), defined is the proportional growth rate from year to year for a business. It is essentially the geometric mean used to calculate the growth over a time period.

## Compound Annual Growth Rate (CAGR) Meaning

Using the compound annual growth rate means that a company has the ability to measure any balance sheet items or income statement items year to year or can simply find an average over an extended period of time. By doing this the CAGR equation allows a company to remove the volatility from year to year and find a nice smooth average over a time period. It should be noted that the CAGR comes in use during larger time periods or periods without drastic outliers in the growth.

### Compound Annual Growth Rate (CAGR) Formula

The Compound Annual Growth Rate formula is as follows:

CAGR = (End Period Value/Beginning Period Value)^{(1/# years)} – 1

### Compound Annual Growth Rate (CAGR) Example

Jerry is attempting to make some pro forma statements for his company. He decides that he wants to grow the predictions out for five years. He believes that the same amount of historical information is needed as well. Jerry also decides that he would like to grow all of his predictions by the sales growth rate. He finds that in Year 1 the growth rate was 5% and in Year 5 the growth rate was 8%. Jerry will calculate the CAGR as follows:

CAGR = (.08/.05)^{(1/5)} – 1 = 9.86%

Hi!

How to handle CAGR with negative values?

(0.86/-1.76)^1/10-1

It would be incredibly helpful if you could shed the light on how to arrive at the correct number having a negative value in the denominator. Demonstrative example : NLS stock’s basic EPS in 2007 was $(1,76) or $-1,76 and $0,86 in 2017. Whenever I plug positive numbers into this formula it works out nicely, conversely, if I apply negative, it doesn’t work. If I use AAGR each year individually and then divide it by the number of periods of growth, I get drastically different number, but that is all different subject. I need CAGR with negative values. Thank you for reading this, and any advice you are able to offer.

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