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Modelling the accruals process and assessing unexpected accruals*

Modelling the accruals process and assessing unexpected accruals*

Modelling the accruals process and assessing unexpected accruals*

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The main explanatory variables in <strong>the</strong> model (Xi) vary depending on whe<strong>the</strong>r <strong>the</strong> base model is<br />

<strong>the</strong> modified Jones or <strong>the</strong> Dechow <strong>and</strong> Dichev (2002) model, D is equal to one if <strong>the</strong>re are<br />

unrealized losses (or bad news), <strong>and</strong> zero o<strong>the</strong>rwise, VAR is <strong>the</strong> exogenous variable that serves as<br />

a proxy for news, <strong>and</strong> 4, t j <strong>and</strong> 4 t, j 5<br />

t, j<br />

are <strong>the</strong> parameters that capture instances of good <strong>and</strong><br />

bad news, respectively. In <strong>the</strong> absence of a bias in accounting st<strong>and</strong>ards, conditional<br />

conservatism is a discretionary distortion <strong>and</strong> its incorporation into <strong>the</strong> Ball <strong>and</strong> Shivakumar<br />

model leads to more abnormal <strong>accruals</strong> being classified as expected. 20 As a result, <strong>unexpected</strong><br />

<strong>accruals</strong> capture a smaller proportion of abnormal <strong>accruals</strong> than a model that does not<br />

incorporate asymmetric timeliness.<br />

5 Correlation between normal <strong>and</strong> abnormal <strong>accruals</strong><br />

5.1 Correlation illustration<br />

It may seem puzzling prima facie from <strong>the</strong> analysis in section 4 as to why <strong>the</strong> <strong>unexpected</strong><br />

<strong>accruals</strong> from well-specified models (like <strong>the</strong> encompassing model <strong>and</strong> <strong>the</strong> modified version of<br />

<strong>the</strong> Dechow <strong>and</strong> Dichev (2002) model) are even contaminated. In this section, I show that such<br />

contamination in <strong>unexpected</strong> <strong>accruals</strong> is almost unavoidable as abnormal <strong>and</strong> normal <strong>accruals</strong> are<br />

correlated <strong>and</strong> cannot be explicitly disentangled. To see this correlation, let us make two non-<br />

crucial assumptions – (a) <strong>accruals</strong> reverse in one period <strong>and</strong> (b) reported cash flow is unbiased.<br />

With <strong>the</strong>se assumptions, total <strong>accruals</strong> in expression (10) become<br />

where<br />

* *<br />

t ttt t N D<br />

TACC NACC DACC (21)<br />

NACC a CNI d CNI ,<br />

*<br />

t<br />

u, t u, t1<br />

DACC m CNI ,<br />

* ut , 1<br />

t<br />

20 Recall that <strong>the</strong> framework of my analysis ignores <strong>the</strong> role of accounting st<strong>and</strong>ard setting, see section 3.4 for details<br />

36

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