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olling annual correlation to the respective category index.<br />

Since 1991, the average correlation for actively managed<br />

mutual funds has been increasing. As of December<br />

2011, it was at its approximate highest level in history,<br />

with the average fund having a correlation of 0.982 to its<br />

respective category index. Viewed differently, a correlation<br />

of 0.982 means that 98.2 percent of the return of a<br />

given active manager can be described entirely by the<br />

underlying benchmark index. This suggests the active<br />

manager is only adding roughly one-thirtieth of the total<br />

deviation in returns, but in many cases charging 10 times<br />

or more than what a <strong>com</strong>parable passive strategy costs.<br />

Note that the t-statistic associated with slope is 11.73, suggesting<br />

an incredibly high level of statistical significance.<br />

Another way to view the changing “active” exposure<br />

of mutual funds through time is the standard deviation<br />

of the correlations. This metric captures the dispersion<br />

of all active managers through time. It is possible that<br />

while the average is increasing, there could also be a<br />

greater level of dispersion among portfolio managers.<br />

Unfortunately, as demonstrated in Figure 2, the average<br />

rolling category correlation standard deviations<br />

have also been decreasing. This suggests that, on average,<br />

an increasing number of actively managed mutual<br />

funds are clustering more and more tightly around their<br />

respective category benchmarks. The t-statistic associated<br />

with slope is -8.84, suggesting an incredibly high<br />

level of statistical significance.<br />

The final test to determine the direction of the “active”<br />

portion of actively managed mutual funds is based on the<br />

average tracking error of the fund versus its respective category<br />

index (Figure 3). For this test, other than two noticeable<br />

spikes, the clear trend has been a decreasing level<br />

of tracking error through time. Again, this suggests active<br />

managers are in fact less “active” than they used to be. The<br />

t-statistic associated with slope is -3.13, suggesting a relatively<br />

high level of statistical significance.<br />

Conclusion<br />

It is impossible to pinpoint an exact reason why actively<br />

managed mutual funds are be<strong>com</strong>ing less “active,” but<br />

the evidence would certainly suggest this is the case. One<br />

theory this author believes could be a driving force behind<br />

Figure 3<br />

Average Tracking Error<br />

4.5%<br />

4.0%<br />

3.5%<br />

3.0%<br />

2.5%<br />

2.0%<br />

1.5%<br />

1.0%<br />

0.5%<br />

0.0%<br />

Average Rolling Average Category Tracking Error<br />

Dec-91 May-97 Nov-02 May-08<br />

Source: Morningstar<br />

One Year Period Ending<br />

y = 6E-0.7x + 0.0394<br />

R 2 = 0.0409<br />

this change is increased movement to index investing. As<br />

more investors “index” their portfolios, more and more<br />

trading volume is based not on some technical analysis<br />

about the future earnings of a given <strong>com</strong>pany (for example),<br />

but instead whether or not a given security is included<br />

in a particular index (the S&P 500 in particular) and to<br />

what extent. Alternatively, it could be that “style purity” is<br />

be<strong>com</strong>ing increasingly important for benchmarking purposes.<br />

Regardless of the reason, active funds have clearly<br />

be<strong>com</strong>e less active through time.<br />

These findings present an interesting environment<br />

for active management. First, as more money flows to<br />

index funds, less money must be flowing to active strategies.<br />

Although active as well as passive investments can<br />

be “winners” from a positive flows perspective, the relative<br />

gain of either category definitely <strong>com</strong>es at the cost<br />

of the other. Second, if higher levels of flows into passive<br />

funds do create an environment that makes it more difficult<br />

for active management to outperform, and if an<br />

increasing amount of flows go to passive/index strategies,<br />

the ability of an active manager to outperform is<br />

likely to be<strong>com</strong>e increasingly hampered. Finally, for an<br />

efficient market to exist, there must be some active management.<br />

It is beyond the scope of this article to venture<br />

a guess as to where this point is, but we don’t appear to<br />

be there yet. It will certainly be interesting to see what<br />

happens if we do ever get there.<br />

References<br />

Investment Company Fact Book. 2011. http://www.ici.org/pdf/2011_factbook.pdf<br />

Sharpe, William. 1992. “Asset Allocation: Management Style and Performance Measurement.” Journal of Portfolio Management, vol. 18 No. 2: 7-19<br />

Sias, R.W., L. Starks and S. Titman. 2006. “Changes in Institutional Ownership and Stock Returns: Assessment and Methodology.” Journal of Business, vol. 79 No. 6:2869-2910.<br />

doi:10.1086/508002<br />

Sullivan, R. and Xiong, J. X. 2012. “How Index Trading Increases Market Vulnerability.” Financial Analysts Journal. Forth<strong>com</strong>ing, available at SSRN: http://ssrn.<br />

<strong>com</strong>/abstract=1908227<br />

Endnotes<br />

1<br />

Sullivan and Xiong [2012]<br />

2<br />

Sias, Starks and Titman [2006]; Sullivan and Xiong [2012]<br />

3<br />

Both explicit management fees and implicit fees that result from trading, such as the bid/ask spread and <strong>com</strong>missions<br />

www.journalofindexes.<strong>com</strong> March / April 2013 45

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