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Gaming the Float: How Managers Respond to EPS-based Incentives

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elationship between incentive compensation and shares outstanding. Specifically, a one standard deviation<br />

larger incentive compensation is associated with 0.05 standard deviations more shares outstanding.<br />

Consistent with <strong>the</strong> nominal price puzzle (Weld et al. (2009)), we see that larger firms have more shares<br />

outstanding.<br />

A one standard deviation change in size is associated with 0.76 standard deviations more<br />

shares outstanding. We also find that a one standard deviation larger Amihud measure is associated with a<br />

small (0.11 of a standard deviation), but statistically significant lower number of shares outstanding. This<br />

is consistent with <strong>the</strong> evidence that liquidity tends <strong>to</strong> improve after a s<strong>to</strong>ck splits. In column 1, we see<br />

no evidence of Institutional Ownership relating <strong>to</strong> <strong>the</strong> share structure of <strong>the</strong> firm. <strong>How</strong>ever, in column 4,<br />

controlling for incentive compensation (which reduces <strong>the</strong> sample due <strong>to</strong> data requirements), we see that<br />

Institutional Ownership is negatively related <strong>to</strong> shares outstanding. This is consistent with Dyl and Elliott<br />

(2006) who find that smaller share price s<strong>to</strong>cks have lower institutional ownership.<br />

While our evidence on <strong>the</strong> volatility of earnings and incentive compensation is consistent with our hypo<strong>the</strong>sis,<br />

we find evidence that <strong>the</strong> level of net income is negatively associated with shares outstanding.<br />

This is not entirely surprising. After controlling for size, <strong>the</strong>re is significantly less variation in net income.<br />

Moreover, <strong>the</strong>se findings highlight <strong>the</strong> thorny fact that <strong>the</strong>se firm characteristics are jointly determined and<br />

are likely related <strong>to</strong> o<strong>the</strong>r, unobserved characteristics. Therefore, fully understanding what is driving <strong>the</strong><br />

<strong>the</strong> shares outstanding choice requires a different identification strategy.<br />

To <strong>the</strong> extent that firms have unobserved characteristics that determine share structure and managerial<br />

incentives, <strong>the</strong> simple pooled OLS estimates will be biased and inconsistent. The first step we take <strong>to</strong> mitigate<br />

<strong>the</strong>se issues is <strong>to</strong> examine a simple first difference model. This specification will measure <strong>the</strong> relationship<br />

between changes in firm characteristics and changes in shares outstanding. To <strong>the</strong> extent that a firm’s level<br />

of shares is determined by some variety of unobserved firm characteristics, focusing on changes will allow us<br />

<strong>to</strong> identify <strong>the</strong> effect of firm observable characteristics that change over time. While <strong>the</strong> specification itself<br />

mitigates issues with unobserved time invariant heterogeneity, it does not rule out <strong>the</strong> possibility of reverse<br />

causality.<br />

In Table 3, we present three specifications, one for each of <strong>the</strong> earnings volatility proxies described in<br />

Table 2. Consistent with prior results, earnings volatility is an important determinant of shares outstanding.<br />

In this case, a one standard deviation change in earnings volatility is associated with between 0.03 and 0.07<br />

standard deviations of changes in shares outstanding. This effect is statistically significant at <strong>the</strong> 1% level<br />

and is still economically large when considering it is an estimate of changes.<br />

[Insert Table 3 Here]<br />

17

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