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In 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.

This 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.

The 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.

The 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.

The 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.

The authors provide new and original evidence suggesting that conditional conservatism is related to deviations from Benford's Law.

This study aims to apply Benford’s law to examine the earnings management of companies listed in emerging ASEAN-5 countries: Indonesia, Malaysia, Philippines, Thailand and Vietnam.

The authors follow Amiram et al. (2015) to measure deviations from Benford’s law of the first digits of numbers reported in financial statements. The authors use the Jones-modified performance-match model (Jones, 1991; Dechow et al., 1995; Kothari et al., 2005) to estimate accrual earnings management. The authors use a sample of 47,389 observations of listed companies in ASEAN-5 countries from 2006 to 2019. The authors also run ordinary least squares (OLS) regressions to test the hypotheses.

The authors find that the first digits of numbers reported in the financial statements of companies in the sample closely conform to Benford’s law. Further evidence shows that the deviation from Benford’s law is positively related to abnormal accruals. The relationship between deviation from Benford’s law and abnormal accruals is more pronounced for the post-international financial reporting standards adoption period. The results survive for some robustness checks.

The authors show that Benford’s law holds for financial statements of companies listed in the emerging ASEAN-5 countries.

Auditors could use Benford’s law as an analytical procedure to assess the risks of material misstatements. Also, other users could apply Benford’s law on audited financial statements to foresee undetected misstatements.

The authors provide original evidence that financial statements of ASEAN-5 countries follow Benford’s law. The evidence supports the usefulness of Benford’s law in developing markets.

Benford's Law is an empirical observation about the frequency of digits in a variety of naturally occurring data sets. Auditors and forensic scientists have used Benford's Law to detect erroneous data in accounting and legal usage. One well-known limitation is that Benford's Law fails when data have clear minimum and maximum values. Many kinds of education data, including assessment scores, typically include hard maximums and therefore do not meet the parametric assumptions of Benford's Law. This paper implements a transformation procedure which allows for assessment data to be compared to Benford's Law. As a case study, a data quality assessment of oral language scores from the Early Childhood Longitudinal Study, Kindergarten (ECLS-K) study is used and higher risk data segments detected. The same method could be used to evaluate other concerns, such as test fraud, or other bounded datasets.

The technical feasibility of using Benford's law to assist internal auditors in reviewing the integrity of high-volume data sets is analysed. This study explores whether Benford's distribution applies to the set of numbers represented by the quantity of records (size) that comprise the different tables that make up a state-owned enterprise's (SOE) enterprise resource planning (ERP) relational database. The use of Benford's law streamlines the search for possible abnormalities within the ERP system's data set, increasing the ability of the internal audit functions (IAFs) to detect anomalies within the database. In the SOEs of emerging economies, where groups compete for power and resources, internal auditors are better off employing analytical tests to discharge their duties without getting involved in power struggles.

Records of eight databases of an SOE in Argentina are used to analyse the number of records of each table in periods of three to 12 years. The case develops step-by-step Benford's law application to test each ERP module records using Chi-squared (χ²) and mean absolute deviation (MAD) goodness-of-fit tests.

Benford's law is an adequate tool for performing integrity tests of high-volume databases. A minimum of 350 tables within each database are required for the MAD test to be effective; this threshold is higher than the 67 reported by earlier researches. Robust results are obtained for the complete ERP system and for large modules; modules with less than 350 tables show low conformity with Benford's law.

This study is not about detecting fraud; it aims to help internal auditors red flag databases that will need further attention, making the most out of available limited resources in SOEs. The contribution is a simple, cheap and useful quantitative tool that can be employed by internal auditors in emerging economies to perform the first scan of the data contained in relational databases.

This paper provides a tool to test whether large amounts of data behave as expected, and if not, they can be pinpointed for future investigation. It offers tests and explanations on the tool's application so that internal auditors of SOEs in emerging economies can use it, particularly those that face divergent expectations from antagonist powerful interest groups.

This study demonstrates that even in the context of limited information technology tools available for internal auditors, there are simple and inexpensive tests to review the integrity of high-volume databases. It also extends the literature on high-volume database integrity tests and our knowledge of the IAF in Civil law countries, particularly emerging economies in Latin America.

The change of production methods, the industrial revolutions, technological developments, and digital transformation have affected almost all functions in the enterprises. Accounting and auditing areas are also quite affected by this transformation. Another important result of technology and digitalization is the rapid increase in errors, frauds, and irregularities. Enterprises are looking for new solutions and investigations against irregularities and frauds. Audits for errors, frauds, or irregularities are among the interests of forensic accounting. Many methods are used to identify errors and frauds in the forensic accounting. However, it is inevitable that digital technologies should be utilized in forensic accounting applications as a result of the rapid spread of automation and computer programs in enterprises within the framework of digitalized business activities. Hence, enterprises will be able to get more effective results through computer programs and artificial intelligence in terms of fraud audit in forensic accounting. Expert system applications use artificial intelligence to enable computer programs to behave just like people. One of the most widely used, most easily applicable, and most understandable types of expert system is rule-based expert system. The aim of this study is to determine the accounting fraud that may occur in enterprises within the framework of forensic accounting through rule-based expert systems. For this purpose, various applications have been implemented in a large-scale production enterprise through the use of rule-based expert systems for the determination of accounting fraud. Benford’s Law, risk levels, and various other criteria were used in the creation of expert systems. According to the results obtained from the study, it has been seen that by means of rule-based expert system applications, enterprises can better detect existing frauds and prevent further irregularities in the future. The study is important and it is expected that the study will contribute to the literature because it is shown in the study that the rule-based expert systems, applied in many fields under the title of social sciences, can also be applied in the field of forensic accounting and auditing.

This paper aims to detect anomalous data in income reports of Argentina, including personal income – from a sample of households – and statements of public officials.

A widely known technique in forensic accounting – such as Benford’s Law – is used. The Chi-square test and the absolute mean deviation are used for verification. The databases consulted include the income declared by households in the Permanent Household Survey – for the 2003-2017 period – and the capital declarations of high-ranking public officials – for the period 1999-2017.

The results suggest that income reported in the Encuesta Permanente de Hogares do not follow a Benford´s distribution, and the degree of conformity with this decreases significantly between 2007 and 2015 – coincident with the intervention period of the Instituto Nacional de Estadísticas y Censos. Patrimonial statements of public officials present an acceptable level of compliance with Benford’s law, especially among those of the legislative branch (in more than 90% of cases) although to a lesser extent among officials of the executive branch.

The results suggest that income reports from the Permanent Household Survey, for the period 2007-2015, should be used with reservations because of their possible manipulation.

During the intervention of the official statistics institute in Argentina (2007-2015), the idea of lack of credibility of its reports has been disseminated. To date, however, there is no empirical evidence to support it related to income.

The purpose of this paper is to propose a methodology to estimate the number of records that were omitted from a data set, and to assess its effectiveness.

The procedure to estimate the number of records that were omitted from a data set is based on Benford’s law. Empirical experiments are performed to illustrate the application of the procedure. In detail, two simulated Benford-conforming data sets are distorted and the procedure is then used to recover the original patterns of the data sets.

The effectiveness of the procedure seems to increase with the degree of conformity of the original data set with Benford’s law.

This work can be useful in auditing and economic crime detection, namely in identifying tax evasion.

This work is the first to propose Benford’s law as a tool to detect data evasion.

In 2001 Enron filed amended financial statements setting off a chain of events starting with its bankruptcy filing and including the conviction of Arthur Andersen for obstruction of justice. The end of 2001 and the first half of 2002 included a heightened level of publicity for the accounting practices of listed companies. This paper addresses whether there was a detectable change in the incidence of earnings management around this time period. Earnings reports released in 2001 and 2002 were analyzed. The results showed that revenue numbers were subject to upwards management. Benford's Law was used to detect such manipulations. Earnings Per Share (EPS) numbers showed a marked discontinuity in the distribution around zero which is consistent with upwards management. The results also showed a tendency towards neat round EPS numbers such as 0.10, 0.20, etc. The overall results are consistent with a small but noticeable increase in earnings management in 2002. Enron's reported numbers are reviewed and these show a strong tendency towards making financial thresholds.

After completion of the case study, the students will be able to understand the calculation of cost of individual sources of funds and cost of capital, examine various tools such as economic value added and cash value added analyses which help determining whether a company has added value to its shareholders or not and explore the application of Benford’s law and the Beneish M-score in detecting manipulation of numbers in financial statements.

Nimmy Jacob, a newly recruited research analyst with an equity research firm, was entrusted with tracking the “auto ancillary industry”, specifically “Minda Corporation Ltd” (MIL). MIL was a leading diversified auto components manufacturing companies in India. The company’s share price meteorically rose during February 2021–2022 (Figure 1). The company’s turnover over the past few years had grown at a compounded annual growth rate of 15% during the three preceding years. The company had in the recent past bought a 15% stake in another competitor, Pricol Ltd, for a consideration of INR 400 crores and previously had used joint ventures and acquisitions to scale up its operations. Jacob, apart from the conventional financial analysis, had to ascertain whether all the strategic decisions were adding value to the shareholders’ investments by exploring the various tools available for the same and also calculate the minimum expected rate of return for MIL. Jacob was apprehensive about the financial statements, although the numbers for the company were good. Jacob was skeptical about a high-growth company having the incentive to manipulate its earnings. Manipulations could be in the form of abnormal increase in accruals, inconsistency in expenses and high days of receivables. Therefore, Jacobs used certain analytics/statistical tools to detect any manipulation of numbers in the financial statements of the company and to ascertain apt findings about the company.

This case study is intended for discussion in corporate finance, financial reporting and analysis and financial analytics at Master of Business Administration/undergraduate level.

Teaching notes are available for educators only.

CSS1: Accounting and finance