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

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Daniel <strong>and</strong> Naik, 2003, Baquero <strong>and</strong> Verbeek, 2006), this may<br />

(Agarwal,<br />

us to better identify funds that are expected to liquidate <strong>in</strong> <strong>the</strong> future<br />

allow<br />

of large negative flows after <strong>the</strong>ir report<strong>in</strong>g period). Compared<br />

(because<br />

<strong>the</strong> previous classification, 19 cases move from <strong>the</strong> <strong>self</strong>-<strong>selection</strong> to <strong>the</strong><br />

to<br />

b<strong>in</strong>.<br />

<strong>liquidation</strong><br />

<strong>the</strong> classification of cases is based on past returns, this obviously<br />

Because<br />

hassomeimpactupon<strong>the</strong>coefficientestimatesfor<strong>the</strong>laggedreturns<strong>in</strong><br />

b<strong>in</strong>ary probit models expla<strong>in</strong><strong>in</strong>g <strong>liquidation</strong> <strong>and</strong> <strong>self</strong>-<strong>selection</strong>. For <strong>the</strong><br />

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

model <strong>the</strong> cumulative estimated impact of past returns <strong>in</strong>creases<br />

<strong>liquidation</strong><br />

from 3.394 (Table 3) to 3.775, not tak<strong>in</strong>g <strong>in</strong>to account <strong>the</strong> underwater<br />

slightly<br />

For <strong>the</strong> <strong>self</strong>-<strong>selection</strong> model, <strong>the</strong> cumulative impact reduces from<br />

dummy.<br />

(Table 4) to 3.364. Apart from this, <strong>the</strong> estimation results for <strong>the</strong>se two<br />

4.386<br />

with <strong>and</strong> without net asset value (available upon request), are not<br />

models,<br />

different from before. Note that, even with this new classification,<br />

noticeably<br />

probability of <strong>self</strong>-<strong>selection</strong> is negatively (<strong>and</strong> statistically significantly)<br />

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

to past performance.<br />

related<br />

use <strong>the</strong>se new models to correct <strong>the</strong> persistence analysis for <strong>look</strong><strong>ahead</strong><br />

We<br />

<strong>bias</strong> due to <strong>liquidation</strong> <strong>and</strong> <strong>self</strong>-<strong>selection</strong>. As before, <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong><br />

limited impact at <strong>the</strong> two-quarter horizon, reported <strong>in</strong> Table 7, but substantial<br />

has<br />

impact at <strong>the</strong> four-quarter horizon, reported <strong>in</strong> Table 8. Given that<br />

past returns are used to classify a case as <strong>liquidation</strong>, it is not surpris<strong>in</strong>g<br />

poor<br />

see that <strong>the</strong> <strong>bias</strong> due to fund <strong>liquidation</strong> has <strong>in</strong>creased <strong>in</strong> magnitude, at<br />

to<br />

cost of <strong>the</strong> <strong>self</strong>-<strong>selection</strong> <strong>bias</strong>. However, <strong>the</strong> expected returns for each of<br />

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

deciles, after correct<strong>in</strong>g for both sources of <strong>bias</strong>, are virtually <strong>the</strong> same as<br />

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

reported <strong>in</strong> Tables 5 <strong>and</strong> 6. To some extent this reflects <strong>the</strong> ambiguity<br />

those<br />

classify<strong>in</strong>g a case as ei<strong>the</strong>r “<strong>liquidation</strong>” or “<strong>self</strong>-<strong>selection</strong>”. Two conclu-<br />

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

are clear, however. First, no matter how we def<strong>in</strong>e it, <strong>self</strong>-<strong>selection</strong> has<br />

sions<br />

offsett<strong>in</strong>g impact upon <strong>the</strong> <strong>liquidation</strong> <strong>bias</strong>. Second, it is <strong>in</strong>appropriate to<br />

no<br />

correct for <strong>liquidation</strong> <strong>bias</strong> while at <strong>the</strong> same time restrict<strong>in</strong>g attention<br />

only<br />

those cases that are classified by TASS as “liquidated”.<br />

to<br />

analyz<strong>in</strong>g <strong>hedge</strong> fund performance <strong>and</strong> its persistence, a multi-period<br />

When<br />

<strong>bias</strong> or <strong>look</strong>-<strong>ahead</strong> <strong>bias</strong> may arise if funds attrite from <strong>the</strong> available<br />

sampl<strong>in</strong>g<br />

6 Conclud<strong>in</strong>g remarks<br />

databases due to reasons that relate to <strong>the</strong>ir performance. In this paper, we<br />

24

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