ValueScreener

Lesson 8 of 8

Reading a compound annual growth rate

A compound annual growth rate is two numbers and a count of years. Everything in between is discarded, so two very different decades give the same rate.

Javier Sanz, founder

By Javier Sanz

Founder of ValueScreener. Built Ninety Nine, a securities services provider, and sold it to a tier-one global bank; ran operations and internationalization at Alpaca, the brokerage API.

Who writes thisEditorial processLinkedIn (opens in a new tab)X (opens in a new tab)

In one minute

  • A compound annual growth rate uses exactly three inputs, the first figure, the last figure and the count of years, and discards everything in between.
  • Choosing the start year chooses much of the answer: the same six filed observations can defensibly produce 9.9 percent or 18.9 percent.
  • A growth rate says nothing about whether the growth was worth having; that question belongs to the incremental return on capital.

Because the rate is built from only two observations, a steady climb and a path that triples, collapses and recovers can share exactly the same figure.

Two paths, identical start and end, identical CAGR

  • Steady path
  • Volatile path
Show the numbers
Steady pathVolatile path
0100100
1114.9300.0
2132.090.0
3151.6120.0
4174.1160.0
5200.0200.0
Illustrative round numbers, not any company's filings.

Both series compound at 14.9 percent a year. One grew at a constant rate. The other tripled, fell below its starting point, and climbed back. A reading that rests on the rate alone treats those as the same company.

The start year is the whole answer

Both rates are correctly computed from the same six filed observations. Starting one year later, in the year revenue fell from 100 to 80, nearly doubles the published growth rate. Checking what the base year looked like takes one minute and changes the reading more than any other check on this page. A third, common error: six observations span five years, not six, and using six as the exponent understates the rate to 8.1 percent. Count the gaps, not the rows.

Where the arithmetic stops meaning anything

A negative starting value gives a negative ratio, and the rate either fails to compute or computes to nothing meaningful. Where both figures are negative, a widening loss prints as growth and a narrowing one as decline. A period containing an acquisition measures a standalone company at one end and a combined one at the other, saying nothing about whether either grew. And a period crossing a company's adoption of ASC 606 can be dominated by a change in whether revenue is reported gross, as principal, or net, as agent, rather than by any change in the business.

Per share against total, which are different claims

A per-share growth rate contains the change in the share count: buybacks raise it, issuance lowers it, with no change in the business. Earnings per share uses a weighted average share count, so a large repurchase affects the following year in full but the completion year only in part. A per-share rate that accelerates a year after a buyback programme is showing the share count rather than the earnings. Putting the earnings-per-share rate next to the net-income rate separates the two.

The honest presentation of a rate

Print the path; every filed year is public and showing it costs no more than showing the summary. Where a single number is wanted, the worst single year in the period and a stability measure both do more work than the headline rate alone. ValueScreener computes revenue and earnings compound rates over three and five years alongside stability measures, and withholds a rate for which too few filed years exist rather than computing it from a shorter series.

Build the series before the rate

  1. Assemble revenue and earnings from Item 8 of the last three annual reports (each covering two or three years). A 10-K no longer carries a five-year selected-data table, so the series is assembled from several reports.
  2. Compute the rate from every start year available, not the one a source chose.
  3. Check whether the window contains an acquisition, a divestment or a revenue recognition change.

Check yourself

A company's revenue path is steady and another's tripled, fell, then recovered, ending at the same level over the same years. What do their CAGRs show?

  1. The steady company has a higher CAGR
  2. The same CAGR for both, because the measure only uses the start and end points
  3. The volatile company has a higher CAGR

Show the answer

Answer: B.

A compound annual growth rate discards everything between the first and last observation by construction.

Computing a growth rate starting one year later than usual, in a year revenue happened to be unusually low, nearly doubles the published rate. What does this show?

  1. A calculation error was made
  2. The start year choice is often the largest single influence on the reported rate
  3. The company's growth accelerated

Show the answer

Answer: B.

Both rates can be correctly computed from the same filed data; checking the base year is the highest-value check on this page.

A company's earnings-per-share growth rate is higher than its net-income growth rate over the same years. What is the likely reason?

  1. Earnings always grow faster per share
  2. The share count fell, likely from buybacks, shrinking the per-share denominator
  3. A calculation error

Show the answer

Answer: B.

A per-share rate includes the change in share count, which can move with no change in the underlying business.

Sources

  • SEC final rule, Management's Discussion and Analysis, Selected Financial Data, and Supplementary Financial Information, November 2020 (Release No. 33-10890): Item 301 of Regulation S-K eliminated.
  • ASC 606, Revenue from Contracts with Customers.
  • The ValueScreener methodology for stored growth and stability figures.

What this leaves out

  • No good growth rate exists independently of the return earned on the capital that produced it; the incremental return lesson is where that question is answered.
  • Every rate here is measured from filed history; a past compound rate is not a prediction of a future one.
  • Earnings rates break whenever an endpoint is at or near zero, or negative; revenue rates are the more stable series.
  • Nothing here is advice about any security.

What the figure means, not what yours is

Lesson 8 of 8 of Quality and returns. It teaches what this figure measures and where it stops meaning anything. It does not compute it for a company you hold, and a figure understood is not a figure checked.

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