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Fooled By Randomness
(The
Problem with ‘Track Record’
as a Basis for Selection of a Mutual Fund)
Understanding
Randomness or How You Too Could Be
Investment Genius for the Day
Nassim Nicholas
Taleb is his extraordinary book Fooled By Randomness
(2001) states the following regarding the investment performance
of a fictionally created universe of investment managers
whose performance is created with the use of a random-number
generating machine called a Monte Carlo generator (named
for the historical appellation for roulette wheel):
“Let us use the Monte Carlo generator introduced
earlier and construct a population of 10,000 fictional
investment managers (the generator is not terribly necessary
since we can use a coin, or even do plain algebra, but
it is considerably more illustrative – and fun).
Assume that they each have a perfectly fair game; each
one has a 50% probability of losing $10,000. Let us introduce
an additional restriction; once a manager has a single
bad year, he is thrown out of the sample, good-bye and
have a nice life. Thus we will operate like the legendary
speculator George Soros who was said to tell his managers
gathered in a room: “half of your guys will be out
by next year” (with an Eastern European accent).
Like Soros, we have extremely high standards; we are looking
only for managers with an unblemished record. We have
no patience for low performers.
The Monte Carlo generator will toss a coin; heads and
the manager will make $10,000 over the year, tails and
he will lose $10,000. We run it for the first year. At
the end of the year, we expect 5,000 managers to be up
$10,000 each, and 5,000 to be down $10,000. Now we run
the game a second year. Again, we can expect 2,500 managers
to be up two years in a row; another year, 1,250; a fourth
one, 625, a fifth 313. We have now, simply in a fair game,
313 managers who made money for five years in a row. Out
of pure luck.” (Nassim Taleb, Fooled By Randomness,
pg. 128)
Mr. Taleb goes on to explain as follows:
“(T)he
expectation of the maximum of track records, with which
we are concerned, depends more on the size of the initial
sample, than on the individual odds per manager. In other
words the number of managers with great track records
in a given market depends far more on the number of people
who started in the investment business (in place of going
to dental school), rather than on their ability to produce
profits”. (FBR, pg. 129)
Or, directly to the point at hand, Mr. Taleb states:
“The information that a person made money in the
past, just by itself, is neither meaningful nor relevant.
We need to know the size of the population from which
he came. In other words, without knowing how many managers
out there have tried and failed, we will not be able to
assess the validity of the track record. If the population
includes ten managers, then I would give the performer
half my savings without a blink. If the initial population
is composed of 10,000 manager, I would ignore the results.
The latter situation is generally the case; these days
so many people have been drawn to the financial markets.”
(FBR, pg. 130)
What It Means
So, just by luck, a certain small percentage of mutual fund
managers will have great track records. So could you, armed
with a coin and the strength to keep flipping. Is it likely,
that you, or any one mutual fund manager, will have a great
track record over time? No. But, just based on sheer luck,
some will and we will call them “genius” and
put them on the financial television programs. Is it likely
that a manager who “happened” to produce a superior
track record one period (say the 1980s) would produce a
superior track record in the next period (the 1990s)? Absolutely
not! This is borne out by the research. (See the Fallacy
of Persistency elsewhere on this web site.) We can not
state this strongly enough: the precious touchstone upon
which mutual funds stake their claim to fame, superior track
record, is, upon proper examination simply “statistical
fluke”, with the future track record of the so-called
financial expert destined for ordinariness or worse. We
are talking here about major ‘distortion’, an
entire industry based on statistical confusion and the propensity
of investors to be Fooled by Randomness.
In the final analysis, reliance on “track record”,
is an Investment Illusion for investors. It blinds us from
the high costs of betting on the so-called “genius”
of the moment. We say ‘high costs’ for, almost
by definition in the investment business, the genius’
expertise does not come cheap. (See Costs
elsewhere on this web site.) Moreover, it takes us in the
wrong direction. It takes us away from that which truly
matters. The mis-focus on track records serves to distract
from the more critical determinants of investment performance,
factors such as controlling Costs
and engaging in proper asset allocation.
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