Reassessing Benford's Law, Sarbanes-Oxley & Dodd-Frank: A Non-Parametric Exploration of Financial Statement Numbers 1970-2013

2015 ◽  
Author(s):  
Bradley J. Barney ◽  
Kurt S. Schulzke
Keyword(s):  
Financial Statement ◽  
Benford’S Law ◽  
Sarbanes Oxley ◽  
Benford's Law ◽  
Non Parametric

Moderating “Cry Wolf” Events with Excess MAD in Benford's Law Research and Practice

2016 ◽  
Vol 1 (1) ◽  
pp. A66-A90 ◽  
Author(s):  
Bradley J. Barney ◽  
Kurt S. Schulzke
Keyword(s):  
False Positives ◽  
Financial Statement ◽  
Benford’S Law ◽  
Type I ◽  
Absolute Deviation ◽  
Sarbanes Oxley ◽  
Mathematical Correlation ◽  
Public Company ◽  
Benford's Law ◽  
Additive Modeling

ABSTRACT False positives or “Type I errors,” wherein test results indicate fraud where none actually exists, have been described as a costly “cry wolf problem” in auditing practice. Benford's Law, which is used as one tool among many in screening for financial statement manipulation, is especially prone to false positives when applied to small and moderately sized datasets. Relying in part on Monte Carlo simulations, we describe with greater precision than extant literature the mathematical correlation between N and Mean Absolute Deviation (MAD), a statistic increasingly used for assessing deviation from Benford's Law. We recommend replacing MAD with an alternative, Excess MAD, which explicitly adjusts for N in estimating deviation from Benford's Law. Applying nonparametric, generalized additive modeling to public company financial statement numbers, we demonstrate the differing outcomes expected from Excess MAD and MAD and produce evidence suggesting that, despite Sarbanes-Oxley and Dodd-Frank legislation, Benford's Law conformity of public company financial statement numbers remained relatively stable across four decades beginning in 1970.

Audit Quality Inputs and Financial Statement Conformity to Benford’s Law

2020 ◽  
pp. 0148558X2093046
Author(s):  
Thien Le ◽  
Gerald J. Lobo
Keyword(s):  
Cash Flow ◽  
Audit Quality ◽  
Financial Statements ◽  
Audit Fees ◽  
Financial Statement ◽  
Benford’S Law ◽  
Audit Report ◽  
Audit Firm ◽  
Income Statement ◽  
Benford's Law

We examine whether audit quality inputs are related to the conformity of financial statements to Benford’s law. We find that overall financial statement conformity increases with audit fees, nonaudit fees, and audit report lag, and decreases with audit firm tenure. We also find that these audit quality inputs are more strongly associated with income statement conformity than with cash flow statement conformity. Our findings document the role that auditing plays in enhancing the conformity of financial statements to Benford’s law.

scholarly journals Benford’s Law in Forensic Analysis of Income Statements of Economic Entities in Bosnia and Herzegovina

2021 ◽  
Vol 23 (1) ◽  
pp. 31-61
Author(s):  
Ševala Isaković-Kaplan ◽  
◽  
Lejla Demirović ◽  
Mahir Proho ◽  
◽  
...  
Keyword(s):  
Bosnia And Herzegovina ◽  
Financial Statements ◽  
Forensic Analysis ◽  
Financial Statement ◽  
Benford’S Law ◽  
Business Decisions ◽  
Full Disclosure ◽  
Wide Range ◽  
Benford's Law ◽  
And Performance

The objective of preparing and presenting financial statements is to provide information about the financial position and performance of an entity, which is useful to a wide range of users of financial statements for business decisions. If information presented in the financial statements is not full disclosure and/or is incorrect, the presented image of the business entity will be wrong, as well as business decisions made on the basis of such financial statements. Unfortunately, many entities knowingly manipulate revenues and expenses to manage earnings in a way that suits the entity management. Detecting frauds in financial statements is the primary task of forensic accountants. This paper analyzes the possibilities of applying Benford’s law in the forensic analysis of income statements of economic entities in Bosnia and Herzegovina, to detect possible earnings manipulation. The results of the research confirm that the positions of revenues and expenses in the income statements of economic entities in Bosnia and Herzegovina generally follow Benford’s law, but also stress the need to increase attention and conduct additional forensic investigations for certain items as indicators of financial statement manipulation.

scholarly journals Is conditional conservatism a source of deviations of financial statements from Benford's Law?

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Tri Tri Nguyen ◽  
Chau Minh Duong ◽  
Nguyet Thi Minh Nguyen
Keyword(s):  
Financial Distress ◽  
Stock Exchange ◽  
Listed Companies ◽  
Financial Statement ◽  
Benford’S Law ◽  
Assessment Procedure ◽  
Specific Level ◽  
Content Type ◽  
Conditional Conservatism ◽  
Benford's Law

PurposeIn this paper, the authors examine the association between conditional conservatism and deviations of the first digits of financial statement items from what are expected by Benford's Law.Design/methodology/approachThis research uses data of companies listed on the London Stock Exchange. The authors measure deviations of first digits from Benford's Law following Amiram et al. (2015) and firm-year conditional conservatism following previous studies (Basu, 1997; Khan and Watts, 2009; García Lara et al., 2016). The authors use multiple regressions to provide evidence for their hypothesis.FindingsThe results show that conditional conservatism is positively associated with deviations from Benford's Law. The findings are robust across different measures of deviations and conditional conservatism. Also, the authors find that the relationship between deviations from Benford's Law and conditional conservatism is more pronounced for firms with debt issuance, and for leveraged firms facing financial distress. Next, the authors’ analyses confirm previous evidence by showing that the first digits of financial statement items of UK listed companies conform to Benford's Law at the firm-specific level and the market level, and deviations of income statements are larger than those of balance sheets and cash flow statements.Research limitations/implicationsThe research makes significant contributions to the literature. First, this is the first study that provides empirical evidence suggesting that conditional conservatism may be a source of deviations from Benford’s Law. Second, the authors provide evidence confirming previous US findings (e.g. Amiram et al., 2015) showing that the distributions of first digits of financial statement items of UK listed companies also conform to Benford's Law.Practical implicationsThe authors’ findings have implications for auditors. Auditors should be aware of “false positive” for material misstatements when using Benford's Law as a risk assessment procedure. While both conditional conservatism and earnings management are related to deviations from Benford's Law, conservatism-related biases could indicate less audit risks.Originality/valueThe authors provide new and original evidence suggesting that conditional conservatism is related to deviations from Benford's Law.

EARNINGS MANAGEMENT AMONG FIRMS DURING THE PRE-SEC ERA: A BENFORD'S LAW ANALYSIS

2011 ◽  
Vol 38 (2) ◽  
pp. 145-170 ◽  
Author(s):  
Jeffrey J. Archambault ◽  
Marie E. Archambault
Keyword(s):  
Financial Statement ◽  
Benford’S Law ◽  
Operating Environment ◽  
Industrial Firms ◽  
Financial Reports ◽  
Rate Regulation ◽  
Time Period ◽  
Benford's Law ◽  
Utility Companies ◽  
Net Assets

ABSTRACT This paper examines the existence of financial statement manipulation in the U.S. during a time period when many of the current motivations did not exist. The study looks for types of manipulations that would be motivated by the pre-SEC operating environment. To examine this issue, a sample of U.S. firms from the 1915 Moody's Analyses of Investments is divided into industrial firms, railroads, and utilities. The railroad and utility companies faced rate regulation during this time period, providing incentives to manipulate the financial reports so as to maximize the rate received. Industrial firms were not regulated. These companies wanted to attract investors, motivating manipulations to increase income and net assets. To determine if manipulations are occurring, a Benford's Law analysis is used. This analysis examines the frequency of numbers in certain positions within an amount to determine if the distribution of the numbers is similar to the pattern documented by Benford's Law. Some manipulations consistent with expectations are found.

scholarly journals Fraud Detection in Financial Statements Applying Benford's Law with Monte Carlo Simulation

2019 ◽  
Vol 69 (2) ◽  
pp. 217-239
Author(s):  
Vladan Pavlović ◽  
Goranka Knežević ◽  
Marijana Joksimović ◽  
Dušan Joksimović
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Frequency Distribution ◽  
High Probability ◽  
Financial Statements ◽  
Financial Statement ◽  
Benford’S Law ◽  
Financial Reports ◽  
Benford's Law ◽  
Very High

Benford's Law is a useful tool for detecting fraud in financial statements. In this paper we test the financial item named ‘Work performed by the undertaking for its own purpose and capitalised’ applying this tool. The data are taken from the financial reports of all companies submitted to the Serbian Business Register Agency for the period of 2008–2013. Our conclusion shows that there is a very high probability that the frequency distribution of the second digit does not satisfy Benford's Law. In other words, it implies that certain manipulations have been usually done with the second digit of the aforementioned item in the financial statement. This research confirms our hypothesis that financial statement frauds are usually conducted using the second digit.

Audit Sampling Using Benford's Law: A Review of the Literature with Some New Perspectives

2017 ◽  
Vol 14 (2) ◽  
pp. 29-46 ◽  
Author(s):  
Mark J. Nigrini
Keyword(s):  
Sampling Method ◽  
Numerical Data ◽  
Financial Statement ◽  
Benford’S Law ◽  
Review Of The Literature ◽  
Financial Statement Fraud ◽  
Accuracy Rate ◽  
Benford's Law ◽  
Red Flag ◽  
Audit Sampling

ABSTRACT Accounting studies have used the premise that nonconformity to Benford's Law (hereafter, Benford), which gives the expected patterns of the leading digits in numerical data, is a red flag for fraud. This study reviews Benford's Law and divides the accounting applications into five categories. A proposed Benford-based audit sampling method, which selects as the audit sample the set of transactions or balances that needs to be removed from the audit population to leave a remainder that conforms to Benford, is reviewed and reexamined. The finding is that the method, as advocated, can generate large audit samples and that the accuracy rate is questionable, even when known errors are seeded into the data. The study then reviews some new perspectives on using Benford's Law in auditing by reviewing (1) the mathematical bases for expecting Benford conformity, (2) the type of auditee data that are appropriate for Benford-based sampling, (3) various options to limit the sample size, and (4) the limitations of a Benford-based sampling approach. These perspectives draw on some facts related to the way in which the HealthSouth Corporation financial statement fraud was executed.

Sign in / Sign up

Export Citation Format

Share Document