Thursday, November 19, 2009

If you're so smart, why aren't you rich?

Does being smart help you become rich?

Folksy Warren Buffett once said that an investor with IQ of 150 should sell 30 points to someone else, as anything above 120 is unnecessary.

Consider the following simple model (we can call it the "Igon Model" in honor of Malcolm Gladwell):

Igon Model: IQ correlates positively with wealth, but the effect goes away for IQ > 120. IQ above 120 provides no advantage, relative to IQ=120, for acquiring wealth.

Were this model to be true, one would expect with overwhelming probability to find that the vast majority of rich people have IQ around 120, but not much higher. This is because IQ is normally distributed: as you go further out the tail the population decreases exponentially. To be specific, IQ = 120 corresponds to the 90th percentile, whereas IQ = 135 is 99th percentile (i.e., only 1 in 10 people with IQ > 120 have IQ > 135) and IQ = 145 is 99.9th percentile (i.e., only 1 in 100 people with IQ > 120 have IQ > 145).

Now let's look at the 2009 Forbes list of richest people in the world:

1 William Gates III 53 40.0 United States
2 Warren Buffett 78 37.0 United States
3 Carlos Slim Helu 69 35.0 Mexico

If the Igon Model were correct, we would not expect to find this list dominated by people with IQ much higher than 120. But in fact we do. Note these three made their money in different ways: Gates founded a software company, Buffett is primarily an investor, and Carlos Slim is an oligarch ;-)

Bill Gates scored 1580 on the pre-1995 SAT. His IQ is clearly >> 145 and possibly as high as 160 or so.

Warren Buffett graduated high school at 16 ranked in the top 5 percent of his class despite devoting substantial effort to entrepreneurial activities. Most people who know him well refer to him as brilliant, that folksy quote above notwithstanding. I would suggest the evidence is strong that his IQ is above 135, perhaps higher than 145.

Carlos Slim studied engineering and taught linear programming while still an undergraduate at UNAM, the top university in Mexico. He reportedly discovered the use of compound interest at age 10. I would suggest his IQ is also at least 135.

So it would appear that the three richest men in the world all have IQs that are higher than 90 percent or even 99 percent of the > 120 IQ population. (Relative to the general population they are all likely in the 99th or even 99.9th percentile.) The probability of this happening in the Igon Model is less than 1 in 1000.

[Here's a basketball analogy: the analogous Igon Model for basketball would say height over 6ft2 (90th percentile) doesn't increase likelihood of success in basketball. Suppose we find the 3 top players in the world are 7ft (Shaq/Gates), 6ft8 (LeBron/Buffett) and 6ft6 (Kobe/Slim). That strongly disfavors the model, as a random draw of 3 people from the set of people over 6ft2 in height has almost zero probability of producing the 3 heights we found.]

Note to angry Gladwell egalitarians: don't take this analysis too seriously :-) It's really an example of "Igon analysis" in the spirit of MG!

There are many factors aside from intelligence that impact success in business or investing. See here for a discussion by money manager and investment theorist William Bernstein, which is very similar to what Buffett has said on various occasions. If you carefully study biographies of the three men listed above, what really stands out (aside from high mental ability) is their determination, drive and fascination with material success beginning at a young age. See also: success vs ability and creators and rulers.

What about the broader population? It's well established that graduates of elite universities earn more than graduates of less selective schools. But, interestingly, controlling for SAT score (IQ) largely eliminates the differential. I wonder why? (See also here for UT Austin data on earnings variation with SAT and major.)

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