• Home
  • Latest
  • Fortune 500
  • Finance
  • Tech
  • Leadership
  • Lifestyle
  • Rankings
  • Multimedia
TechApple

Look. Apple doesn’t obey the ‘law of large numbers.’ No company does.

By
Philip Elmer-DeWitt
Philip Elmer-DeWitt
Down Arrow Button Icon
By
Philip Elmer-DeWitt
Philip Elmer-DeWitt
Down Arrow Button Icon
October 24, 2015, 11:16 AM ET

The market’s reaction Friday to the latest earnings results from Google, Amazon and Microsoft (read Fortune’s coverage here, here and here) got reader Carl Lambert—who posts here as RadarTheKat—thinking about the “law of large numbers,” one of the most abused phrases in business journalism. (See below.)

“Here’s the article I wish someone would write,” he says. And then he proceeded to write it:

“Among the arguments why Apple shares cannot outperform the market or its peers has been the oft repeated law of large numbers; the claim that Apple is too big to meaningfully grow and that its market cap, at nearly $680 billion, is so big that there aren’t enough investment dollars to move the needle.

“But last night the market unwittingly provided an irrefutable counter argument by taking the combined market caps of Google, Amazon and Microsoft to nearly $1.2 trillion. The market seems to have no trouble adding $70 billion to these three companies, whose combined profits are a fraction of Apple’s, but won’t allow the same for a single company.

“It was Microsoft’s year 2000 valuation, north of $600 billion at the peak of the dotcom bubble and stagnant for the decade thereafter, that has since been used as the poster child for what happens to the company with the world’s highest market cap. The street is convinced that will be Apple’s fate.

“What the market doesn’t seem to understand is that vertically integrated Apple, in terms of the profits it generates and markets it addresses, is equivalent to the entire PC industry of the 1990s, including Microsoft, Sony, Toshiba, IBM’s PC division, Compaq, HP, and all the other PC makers. Adjusted for inflation, Microsoft’s year 2000 valuation alone would today be $850 billion, against Apple’s current $680 billion. How much higher when you add in all the PC makers from 2000?

“Apple’s market cap, given the scope of its business, and adjusted for inflation, is very conservative. As usual, the market is wrong.”

Screen Shot 2015-10-24 at 10.17.26 AM

I last wrote about the so-called “law of large numbers” a few years ago when I caught James B. Stewart, a Pulitzer-prize winning professor of business journalism at Columbia University, invoking it in the New York Times as a pseudo-mathematical explanation of why Apple, as of February 2012, had peaked. At the time I wrote:

“For the record, the law of large numbers—once shortened to “LOL numbers” (as in ‘laugh out loud’) by a wag in our comment stream, was first formulated in the 16th century and proven by Jacob Bernoulli in 1713. It states that the probability of an experiment—the average roll of a die, say—achieving the expected result increases the more times the experiment is performed. It has absolutely nothing to do with how big a company has grown.”

There ought to be a phrase for the self-evident truth that any company that’s growing faster than the economy as a whole can’t do so forever because eventually it would have to become larger than the economy it’s part of. But the law of large numbers is not it. And Apple may turn out not to be its poster child.

Follow Philip Elmer-DeWitt on Twitter at @philiped. Read his Apple (AAPL) coverage at fortune.com/ped or subscribe via his RSS feed. You might also want to subscribe to Data Sheet, Fortune’s daily newsletter on the business of technology.

About the Author
By Philip Elmer-DeWitt
See full bioRight Arrow Button Icon

Latest in Tech

Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025

Most Popular

Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Finance
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam
By Fortune Editors
October 20, 2025
Rankings
  • 100 Best Companies
  • Fortune 500
  • Global 500
  • Fortune 500 Europe
  • Most Powerful Women
  • Future 50
  • World’s Most Admired Companies
  • See All Rankings
Sections
  • Finance
  • Leadership
  • Success
  • Tech
  • Asia
  • Europe
  • Environment
  • Fortune Crypto
  • Health
  • Retail
  • Lifestyle
  • Politics
  • Newsletters
  • Magazine
  • Features
  • Commentary
  • Mpw
  • CEO Initiative
  • Conferences
  • Personal Finance
  • Education
Customer Support
  • Frequently Asked Questions
  • Customer Service Portal
  • Privacy Policy
  • Terms Of Use
  • Single Issues For Purchase
  • International Print
Commercial Services
  • Advertising
  • Fortune Brand Studio
  • Fortune Analytics
  • Fortune Conferences
  • Business Development
About Us
  • About Us
  • Editorial Calendar
  • Press Center
  • Work At Fortune
  • Diversity And Inclusion
  • Terms And Conditions
  • Site Map
  • Facebook icon
  • Twitter icon
  • LinkedIn icon
  • Instagram icon
  • Pinterest icon

© 2026 Fortune Media IP Limited. All Rights Reserved. Use of this site constitutes acceptance of our Terms of Use and Privacy Policy | CA Notice at Collection and Privacy Notice | Do Not Sell/Share My Personal Information
FORTUNE is a trademark of Fortune Media IP Limited, registered in the U.S. and other countries. FORTUNE may receive compensation for some links to products and services on this website. Offers may be subject to change without notice.


Most Popular

placeholder alt text
Economy
Trump may have shot himself in the foot at the Fed, as Powell could stay on while Miran resigns from White House post
By Eleanor PringleFebruary 4, 2026
1 day ago
placeholder alt text
Politics
Peter Thiel warns the Antichrist and apocalypse are linked to the ‘end of modernity’ currently happening—and cites Greta Thunberg as a driving example
By Nick LichtenbergFebruary 4, 2026
23 hours ago
placeholder alt text
Success
After decades in the music industry, Pharrell Williams admits he never stops working: ‘If you do what you love everyday, you’ll get paid for free'
By Emma BurleighFebruary 3, 2026
2 days ago
placeholder alt text
Investing
Tech stocks go into free fall as it dawns on traders that AI has the ability to cut revenues across the board
By Jim EdwardsFebruary 4, 2026
1 day ago
placeholder alt text
Commentary
I've studied nonviolent resistance in war zones for 20 years and Minnesota reminds me of Colombia, the Philippines and Syria
By Oliver Kaplan and The ConversationFebruary 3, 2026
2 days ago
placeholder alt text
Success
In 2026, many employers are ditching merit-based pay bumps in favor of ‘peanut butter raises’
By Emma BurleighFebruary 2, 2026
3 days ago

Latest in Tech

Amodei
Big TechBattle for Talent
Tech giants are shelling out up to $400k for AI evangelists to defend against surging American skepticism
By Jake AngeloFebruary 5, 2026
31 minutes ago
Amazon CEO Andy Jassy
AIEye on AI
Hey Alexa—Amazon may be teaming up with OpenAI. Here’s why that matters
By Sharon GoldmanFebruary 5, 2026
1 hour ago
Palmer Luckey,
SuccessCareers
Forget a degree—$30 billion defense startup Anduril will fast-track your job application if you can win its AI drone flying contest
By Preston ForeFebruary 5, 2026
2 hours ago
lewis, lee
InvestingMarkets
Michael Lewis and Tom Lee hold court on the $1 trillion software-stock carnage: ‘I think fear is not a bad thing to be long right now’
By Nick LichtenbergFebruary 5, 2026
3 hours ago
Sam Altman OpenAI CEO, standing with his arms folded.
AIOpenAI
ChatGPT’s market share is slipping as Google and rivals close the gap, app tracker data shows
By Beatrice NolanFebruary 5, 2026
3 hours ago
grace
CommentaryRobotics
I’m a 25-year-old founder who loves robots but too many humanoids are militant and creepy-looking. Things need to change—just look at Elon Musk
By Grace BrownFebruary 5, 2026
5 hours ago