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Fund liquidation, self-selection and look-ahead bias in the hedge ...

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Zeckhauser (1997) <strong>and</strong> ter Horst, Nijman <strong>and</strong> Verbeek (2001) such a<br />

<strong>and</strong><br />

could be expla<strong>in</strong>ed by <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong>. If we correct for <strong>look</strong>-<strong>ahead</strong><br />

pattern<br />

<strong>the</strong> expected returns on <strong>the</strong> lower deciles are significantly reduced <strong>and</strong><br />

<strong>bias</strong><br />

J-shape flattens. As a result, <strong>the</strong> relationship between past <strong>and</strong> future<br />

<strong>the</strong><br />

expected returns on a zero<br />

The<br />

portfolio that is long <strong>in</strong> w<strong>in</strong>ners (decile 10) <strong>and</strong> short <strong>in</strong> losers<br />

<strong>in</strong>vestment<br />

with a t-value of −3.11. At <strong>the</strong> bi-quarterly horizon, <strong>the</strong> w<strong>in</strong>nerloser<br />

significant<br />

portfolio has an expected return of 11.9%, <strong>and</strong> <strong>the</strong> correction for <strong>look</strong>-<br />

<strong>bias</strong> has very little impact. Brown, Goetzmann <strong>and</strong> Ibbotson (1999),<br />

<strong>ahead</strong><br />

<strong>and</strong> Naik (2000), <strong>and</strong> Bares, Gibson <strong>and</strong> Gyger (2003), also f<strong>in</strong>d<br />

Agarwal<br />

of a persistence pattern at a short term horizon, while <strong>the</strong> pattern<br />

evidence<br />

less strong at longer horizons. However, note that <strong>the</strong>se studies do not<br />

is<br />

for <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong>, <strong>and</strong> that without corrections, average returns<br />

correct<br />

be overestimated by as much as 7.7% (decile 1, annual horizon). For<br />

may<br />

discussion on correct<strong>in</strong>g for <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong> we refer to Baquero,<br />

additional<br />

Horst <strong>and</strong> Verbeek (2005).<br />

ter<br />

Subsequent period performance<br />

0.2500<br />

0.2000<br />

0.1500<br />

0.1000<br />

0.0500<br />

0.0000<br />

1 2 3 4 5 6 7 8 9 10<br />

Initial period rank<br />

raw returns<br />

corrected returns<br />

double corrected returns<br />

Figure 2: Four-quarterly persistence <strong>in</strong> raw returns.<br />

performance becomes more monotonic.<br />

1), is approximately 10.0% at <strong>the</strong> annual horizon, while it is only 4.3%<br />

(decile<br />

no correction for <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong> is applied. The difference is statistically<br />

if<br />

The most strik<strong>in</strong>g result is that <strong>the</strong> correction for <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong> due to<br />

22

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