Blog - Investing Notes
March 10, 2008 - Filtering the Luck Out of Mutual Fund Performance Data
What proportion of mutual funds truly, after accounting for luck, generate
positive alpha?
Is there a reliable way to find such funds? In the March 2008 version of their
paper entitled "False
Discoveries in Mutual Fund Performance: Measuring Luck in Estimated Alphas",
Laurent Barras, Olivier Scaillet and Russ Wermers apply a new technique to measure
the role of luck across a large sample of mutual funds. Using monthly returns
for 2,076 U.S. actively managed domestic equity mutual funds (1,304 growth,
388 aggressive growth and 384 growth and income) existing for at least 60 months
during 1975-2006, they conclude that:
- The annualized alphas for the entire (equally-weighted) sample and for
the three category subsamples are negative, ranging from -0.45% to -0.60%.
- Based on return histories across the entire sample period, only 0.6% of
funds exhibit truly positive long-term four-factor (market, size, book-to-market
and momentum) alphas after expenses and trading costs, while 26.6% exhibit
truly negative alphas. The balance of 72.8% of funds display skill
just sufficient to cover expenses and trading costs.
- Based on returns of funds existing throughout five-year subperiods, only
2.4% exhibit truly positive short-term alpha.
- Unskilled funds reside throughout the left tail of the return distribution,
but skilled ones concentrate in the extreme right tail.
- From 1989 to 2006, the proportion of skilled (unskilled) funds declines
from 14.4% to 0.6% (rises from 9.2% to 26.6%), while the estimated alpha for
the entire sample of funds falls from 0.16% to -0.97% per year. (See the chart
below.)
- A strategy of iteratively constructing an equally-weighted portfolio of
funds from the extreme right tail of returns for five-year subperiods (short-term
winners) generates annual alphas of 1.15% to 1.45%. Key to the success of
this strategy are adjustments to the proportion of funds deemed short-term
winners according to changes in the proportion of skilled funds over time.
- Skilled managers concentrate in the aggressive growth category. About 5%
of aggressive growth funds exhibit true skill, while no growth and income
funds show true skill.
- Before expenses but after trading costs, about 9.6% of funds exhibit true
alpha, indicating that the fund managers (but not the fund investors) can
beat the market.
The following chart, taken from the paper, shows the evolution of the proportions
of skilled and unskilled funds during 1989-2006 based on complete to-date fund
return histories. Skilled (unskilled) means a truly positive (negative) four-factor
alpha. The first proportions at the end of 1989 use 1975-1989, while the last
ones in 2006 use 1975-2006. The chart shows that the proportion of truly outperforming
funds has dwindled nearly to zero.

In summary, dramatic growth in the number of actively managed mutual funds
has driven the proportion of truly skilled funds down, without commensurate
reduction in average fund fees and expenses.
For related research, see Blog
Synthesis: Mutual Funds and Hedge Funds and Blog
Synthesis: The Wisdom of Analysts, Experts and Gurus.