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Erschienen in: Review of Accounting Studies 2/2014

01.06.2014

Measuring discretionary accruals: are ROA-matched models better than the original Jones-type models?

verfasst von: Edmund Keung, Michael S. H. Shih

Erschienen in: Review of Accounting Studies | Ausgabe 2/2014

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Abstract

Discretionary accruals estimated from Jones-type models are elevated or depressed for firms with extreme performance. Kothari et al. (J Acc Econ 39:163–197, 2005) propose performance matching to address the issue, that is, to difference discretionary accruals estimated from Jones-type models for treatment and control firms matched on current ROA. This study shows (1) performance matching will systematically cause discretionary accruals of either sign to be underestimated, and (2) the measurement error will be negatively correlated with the true discretionary accruals. As a result, using discretionary accruals estimated with performance matching to test whether certain events induce earnings management will increase the frequency of Type II errors, and using them as the dependent or an independent variable in regression analysis will bias the regression coefficient toward zero. The results of our empirical tests are consistent with these predictions.

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Fußnoten
1
Ayers et al. (2006) and Dechow et al. (2012) both argue that performance matching increases noise in the discretionary accruals estimate.
 
2
For any study with a skewed sample there is also a chance that the sample skewness is instead caused by the firms’ genuine good or poor performance or earnings management for other purposes. In that case, performance matching would be desirable to reduce the chance of false inferences. Since the researcher can never be sure what causes the sample to be skewed, one can never say for sure whether performance matching is desirable for any study with a skewed sample.
 
3
Kothari et al. (2005) argue that good performance induces firms to take more normal accruals, stating “working capital accruals increase in forecasted sales growth and earnings because of a firm’s investment in working capital to support the growth in sales” (p. 165).
 
4
Discretionary accruals are expressed as a percentage of lagged total assets because Jones-type models scale all the variables by lagged total assets.
 
5
We follow Kothari et al. (2005) and calculate ROA as reported earnings scaled by lagged total assets.
 
6
PM in DA–PM denotes performance matching.
 
7
NP in DA–NP denotes no performance matching.
 
8
It is common for researchers to use regression residuals as proxies for discretionary accruals. The mean of regression residuals is zero.
 
9
See the footnote of Table 4 in their paper for a description of how the control firm is chosen.
 
10
Calculating accruals using the income statement approach requires cash flow data. Firms started reporting cash flow data after Statement of Financial Accounting Standards (SFAS) No. 95 was issued in 1987.
 
11
We define industries by two-digit SIC codes.
 
12
The t statistic for each sample equals \( \overline{DA} /(s(DA)/\sqrt N ) \), where \( \overline{DA} \) is the sample mean of discretionary accruals estimates, s(DA) is the sample standard deviation of the discretionary accruals estimates, and N is the sample size.
 
13
It is unsurprising that the measurement error of the original Jones model is often also negative (positive) for positive (negative) seed levels. Following prior studies, we estimate discretionary accruals by regression. Positive (negative) seeded discretionary accruals cause the regression residuals of the treatment firms to be higher (lower) than those of the other (“clean”) firms. But the magnitudes of the treatment firms’ regression residuals often will be lower than that of the seed because regression minimizes the sum of squares of the residuals.
 
14
Discretionary accruals estimated with performance matching (DA–PM) are the difference between two variables. The standard deviation of DA-PM may be high or low, depending on the correlation between the two variables. Specifically, the variance of DA-PM equals σ x 2  + σ y 2  − 2σxy, where σ x 2 is the variance of discretionary accruals estimate of the treatment firm, σ y 2 is that of the control firm, and σxy is the covariance of the two estimates. If we assume σxy equals zero and σ x 2  = σ y 2 , the variance of DA–PM would be 2σ x 2 , or twice the variance of discretionary accruals estimated with no performance matching. The standard deviation of DA–PM would be \( \sqrt 2 \)σx.
 
15
Results are unchanged when Q4 is not included as an independent variable.
 
16
They also investigate whether estimated discretionary accruals differ between firms residing in other pairs of adjacent bins of earnings, earnings changes, and earnings surprises. We do not replicate those tests in our study. .
 
17
For the prior year earnings benchmark, EMt equals 1if 0 ≤ ΔXt < 0.01 and 0 if −0.01 ≤ ΔXt < 0.00, where ΔXt is the change in net income from year t − 1 to t divided by the market value of equity at the end of year t − 2. For the analyst earnings forecast benchmark, EMt equals 1 if $0 ≤ FEt < $0.01 and 0 if −$0.01 ≤ FEt < $0.00, where FEt is year t’s actual earnings per share minus the most recent analyst forecast prior to the earnings announcement (based on data in unadjusted I/B/E/S Detail History file). FE is rounded to the nearest penny.
 
18
They tabulate the change in test results caused by performance matching for only a forward looking model.
 
19
It is critical that the mechanism by which the reduction in power occurs be known, for two reasons. First, the model can be improved only if its problems are fully understood. Second, without knowing why the model lacks power, the users are likely to attribute any loss in power caused by performance matching to chance and continue to adopt performance matching as a standard procedure.
 
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Metadaten
Titel
Measuring discretionary accruals: are ROA-matched models better than the original Jones-type models?
verfasst von
Edmund Keung
Michael S. H. Shih
Publikationsdatum
01.06.2014
Verlag
Springer US
Erschienen in
Review of Accounting Studies / Ausgabe 2/2014
Print ISSN: 1380-6653
Elektronische ISSN: 1573-7136
DOI
https://doi.org/10.1007/s11142-013-9262-7

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