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Published in: Review of Accounting Studies 2/2010

01-06-2010

The role of audit thresholds in the misreporting of private information

Author: Brian Mittendorf

Published in: Review of Accounting Studies | Issue 2/2010

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Abstract

The accounting profession has faced considerable criticism in recent years for failing to effectively combat reporting manipulation. A particular point of contention is the use of audit thresholds. The tendency for auditors to suppress inconsistencies that are deemed immaterial has been viewed as an open invitation for abuse. This paper revisits the effectiveness of audits and the misreporting of private information in light of audit thresholds. The paper demonstrates that while audit thresholds may create incentives for misstatements, the predictability of such misstatements may actually serve to promote efficiency. In effect, an environment in which parties are expected to systematically bias their reports can bring the threat of audit consequences for further exaggeration to the forefront. Such a consideration also suggests that more relaxed audit thresholds (and the ensuing increase in equilibrium misstatements) may be condoned by report recipients and can actually lessen inefficiencies wrought by adverse selection.

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Appendix
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Footnotes
1
In particular, on the latter front the SEC issued SAB 99 seeking greater control over materiality thresholds. Subsequently, the Auditing Standards Board passed SAS 89 and 90, which require closer scrutiny of waived adjustments by both auditors and management.
 
2
While the setting entails a privately informed party who is tempted to overstate its cost, one can readily extend the results to analogous settings where the privately informed party is tempted to overstate profitability. For example, an empire building tendency may lead entrepreneurs to overstate project value to generate an influx of capital (e.g., Deng 2007). In this sense, the results speak more about the magnitude than the particular direction of endogenous misstatements.
 
3
For more on this means of classifying equilibrium misstatements, see Arya et al. (1998). When the report cannot be used as the agent's message, the equilibrium outcome is typically identified either by (i) adding a (costless) direct channel to elicit the agent's message so as to apply the revelation principle to communications through that channel or (ii) finding the optimal reporting under the existing (restricted) reporting channel. While the present paper employs the latter approach, one can readily verify that the equilibrium solution identified here would also arise under the former approach.
 
4
This commonplace assumption is satisfied for a variety of distributions, including uniform, normal, logistic, chi-squared, exponential, and Laplace (Bagnoli and Bergstrom 2005; Laffont and Tirole 1994).
 
5
Technically, the probability has a ceiling value of one; to ensure a nondegenerate probability in equilibrium, assume \(\pi < 1/({\bar{c}}+\tau)\) throughout the analysis.
 
6
Note that the analysis does not consider the issue of measurement errors that can create concerns of false positives that can arise in the course of an audit. The possibility of these errors can place an additional burden of proof on auditors and can also point to a benefit of thresholds due to avoidance of costly type I errors.
 
7
The restriction Λ ≤ X ensures a nontrivial incentive problem. Absent such a limit on contractual penalties, the first best outcome can be achieved (e.g., Antle and Fellingham 1997).
 
8
In this case, the monotonicity of the investment rule is not sufficient for limiting attention to "local" deviations. Thus, in contrast to related settings without auditing (e.g., Antle and Eppen 1985), considering the possibility of partial transfers (at proportional cost) in this setting does not yield an equivalent solution.
 
9
Of course, this formulation presumes there is no direct effect of thresholds on the chosen level of audit procedures or efforts. Section 3.4 expands the analysis to consider this possibility.
 
10
There may also be other downsides of thresholds, particularly when they induce equilibrium misreporting. For example, if there are individuals who rely on public reports but naively presume they are unbiased, such individuals are likely to be misled by threshold-induced misreporting. Collateral damage of this sort is often discussed in the context of analyst recommendations: while industry insiders claim that "hold" recommendations have widely been understood to be bad news, a trusting public who has taken such recommendations as neutral news has consistently suffered the consequences (Malmendier and Shanthikumar 2007). Regulators who are particularly concerned about the uninformed who rely on public reports would thus be reluctant to permit sizable misstatements in equilibrium.
 
11
As in previous sections, to ensure nondegenerate probability in equilibrium, \(\pi(\tau)<1/[{\bar{c}}+\tau].\)
 
12
As an aside, note in this case that the higher the potential penalty for detected misreporting, Λ, the more stringent the preferred threshold, i.e., τ* is decreasing in Λ. This example thus provides a caveat to the view that strict penalties and strict auditing rules are substitutes.
 
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Metadata
Title
The role of audit thresholds in the misreporting of private information
Author
Brian Mittendorf
Publication date
01-06-2010
Publisher
Springer US
Published in
Review of Accounting Studies / Issue 2/2010
Print ISSN: 1380-6653
Electronic ISSN: 1573-7136
DOI
https://doi.org/10.1007/s11142-009-9088-5

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