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Luck and skill in investmentPicking a fund manager? The odds aren t great

Active fund managers have had a good 12 months, but a terrible ten years

WHO wants mediocrity? That is what a lot of people say when the subject of

index-tracking, or passive fund management, comes up. They would rather choose

a fund manager (an active manager in the jargon) who tries to beat the market

by picking the best stocks. It does sound like a good idea.

The tricky bit is finding the right manager. The temptation is to look at past

performance but fund managers rarely beat the market for long.

The average fund manager is always going to struggle to beat the market (this

is a separate argument from whether markets are efficient ). That is because

the index reflects the performance of the average investor before costs. In a

world dominated by professional fund managers, there aren't enough amateurs for

the professionals to beat. Even the hedge funds, those supposed masters of the

universe , haven't been able to do it; Warren Buffett looks set to win a $1m

bet on the issue.

But the last 12 months have seen a revival of the fortunes of active managers

and there is talk that the cycle has turned. Individual stocks seem less

correlated with each other than during the 2010-2015 period; small stocks,

which aren't included in some indices, are doing well. In Britain, a very high

proportion of funds beat the market over the last year; US funds also seem to

have done so well.

The table, from S&P Dow Jones Indices, shows how many European-domiciled funds

(investing in a wide range of markets) have managed to beat the market over

one, three, five and 10 years. Eight out of 19 categories managed the feat over

one year, but that drops to four categories over three years, three over five

years and none over 10 years. In most categories over 10 years, you had a less

than one-in-five chance of finding a fund that beat the market.

So why do so many people think they can pick a winner? The answer may be found

in a new paper from James White, Jeff Rosenbluth and Victor Haghani of Elm

Partners that shows people find it very difficult to tell skill from luck.

Suppose you have two coins, one fair and the other biased 60% in favour of

heads. How many parallel tosses would you need to be 95% certain (statistically

speaking) of identifying the rigged coin? They asked 700 financial

professionals the question and their median guess was 40. The actual answer is

143. If you widen the experiment to three coins, the number rises to 220.

The authors then use a thought experiment, which assumes that 15% of fund

managers can generate a post-fee return of 1% a year relative to the market

while the other 85% lose 1%. They put 1% of the portfolio a year into each fund

and then shift more to the winners each year, based on the probability that

they can continue to outperform. Even after 10 years, the expected return on

this portfolio is -0.6% a year, relative to the index.

There is even more bad news. At least, a coin doesn t know whether the last

result was a head or a tail. Investment success is affected by past data; other

people copy a winning strategy and stocks can move from cheap to expensive as

they outperform. The authors add:

Sadly, the power of past returns to predict the future is even weaker in

investing than it is with coin flips. In the real world, any kind of

return-chasing strategy will face additional headwinds, amongst them the fact

that when an investment strategy was truly extraordinary in the past, its very

discovery will diminish future performance (or even make future returns

negative), as more capital is drawn towards it. This may be the prime reason

why investor returns (i.e. dollar-weighted returns) tend to be significantly

below fund returns (i.e. time-weighted returns). This doesn t happen with coin

flips.

To sum up, you may think you can pick a successful active manager. But the laws

of probability suggest you can t.