Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2023 | 45 | 216-236

Article title

Applying Benford’s law to detect earnings management

Content

Title variants

Languages of publication

Abstracts

EN
Aim/purpose - This paper analyzes the role of Benford's law in the detection of earnings management in Poland. Previous research that uses Benford's law does not split the sample into a fraud and a control group; however, this method is used in logistic regression and data mining analysis. Design/methodology/approach - The sample comprises 126 observations of Polish non-financial companies listed on the Warsaw Stock Exchange for the years 2010-2021. The author uses first, second, and first-two digits analysis as a proxy for earnings management detection. Findings - The results indicate that fraudulent companies have different deviations in the digits than control firms. Accordingly, the statistical test results indicate that control companies have weaker conformity with the Benford distribution than fraudulent companies. Research implications/limitations - The study sample is limited to 126 observations, which is due to the small number of listed firms that received a monetary fine from the Polish Financial Supervision Authority (UKNF Board) for violation of IAS/IFRS principles related to their financial statements during the study period. Originality/value/contribution - The author offers a significant contribution to the accounting literature by proposing the separation of fraudulent and control observations in Benford analysis due to differences in the deviations of digits. Also, analyzing the full sample may lead to the identification of inappropriate areas for further auditor analysis.

Year

Volume

45

Pages

216-236

Physical description

Dates

published
2023

Contributors

  • University of Warsaw, Poland

References

  • Alali, F., & Romero, S. (2013). Benford’s Law: Analyzing a decade of financial data. Journal of Emerging Technologies in Accounting, 10(1), 1-39. https://doi.org/ 10.2308/jeta-50749
  • Amiram, D., Bozanic, Z., & Rouen, E. (2015). Financial statement errors: Evidence from the distributional properties of financial statement numbers. Review of Accounting Studies, 20, 1540-1593. https://doi.org/10.1007/s11142-015-9333-z
  • Asllani, A., & Naco, M. (2015). Using Benford’s Law for fraud detection in accounting practices. Journal of Social Science Studies, 2(1), 129-143. https://doi.org/10.5296/ jsss.v2i1.6395
  • Bader, A. A., & Saleh, M. M. A. (2017). Evidence on the extent of cosmetic earnings and revenues management by Jordanian companies. International Journal of Economics and Financial Issues, 7(3), 20-30. https://www.econjournals.com/index. php/ijefi/article/view/4370/pdf
  • Barney, B. J., & Schulzke, K. S. (2016). Moderating “cry wolf” events with excess MAD in Benford’s Law research and practice. Journal of Forensic Accounting Re-search, 1(1), A66-A90. https://doi.org/10.2308/jfar-51622
  • Baryła, M. (2017). Analiza rozkładu pierwszej cyfry znaczącej danych finansowych wybranych spółek z sektora mediów notowanych na GPW w Warszawie [The first significant digit distribution analysis of financial data of selected companies from media sector listed on the Warsaw Stock Exchange]. Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu=Research Papers of Wrocław University of Economics, 469, 11-20. https://doi.org/10.15611/pn.2017.469.01
  • Benford, F. (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, 78(4), 551-572. https://www.jstor.org/stable/984802
  • Berger, A., & Hill, T. P. (2015). An introduction to Benford’s law. New Jersey: Princeton University Press. https://doi.org/10.23943/princeton/9780691163062.001.0001
  • Carslaw, C. A. P. N. (1988). Anomalies in income numbers: Evidence of goal oriented behavior. Accounting Review, 68(2), 321-327. https://www.jstor.org/stable/248109
  • Davis, C. S., & Stephens, M. A. (1989). Algorithm AS 248: Empirical distribution function goodness-of-fit tests. Applied Statistics, 38(3), 535-582. https://doi.org/ 10.2307/2347751
  • Diaconis, P., & Freedman, D. (1979). On rounding percentages. Journal of the American Statistical Association, 74(366a), 359-364. https://doi.org/10.1080/01621459.1979. 10482518
  • Drake, P. D., & Nigrini, M. J. (2000). Computer assisted analytical procedures using Benford’s Law. Journal of Accounting Education, 18(2), 127-146. https://doi.org/ 10.1016/S0748-5751(00)00008-7
  • Durtschi, C., Hillison, W., & Pacini, C. (2004). The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of Forensic Accounting, 5(1), 17-34. http://lycofs01.lycoming.edu/~sprgene/M400/BenfordsLaw.pdf
  • Guan, L., He, D., & Yang, D. (2006). Auditing, integral approach to quarterly reporting, and cosmetic earnings management. Managerial Auditing Journal, 21(6), 569-581. https://doi.org/10.1108/02686900610674861
  • Hales, D. N., Sridharan, V., Radhakrishnan, A., Chakravorty, S. S., & Siha, S. M. (2008). Testing the accuracy of employee-reported data: An inexpensive alternative approach to traditional methods. European Journal of Operational Research, 189(3), 583-593. https://doi.org/10.1016/j.ejor.2006.09.092
  • Hill, T. P. (1995). A statistical derivation of the significant-digit law. Statistical Science, 10(4), 354-363. https://doi.org/10.1214/ss/1177009869
  • Istrate, C. (2019). Detecting earnings management using Benford’s Law: The case of Romanian listed companies. Journal of Accounting and Management Information Systems, 18(2), 198-223. https://doi.org/10.24818/jamis.2019.02003
  • Johnson, G. C. (2009). Using Benford’s law to determine if selected company characteristics are red flags for earnings management. Journal of Forensic Studies in Accounting & Business, 1(2), 39-65.
  • Jordan, C. E., Clark, S. J., & Hames, C. (2009). Manipulating sales revenue to achieve cognitive reference points: An examination of large U.S. public companies. Journal of Applied Business Research, 25(2), 95-103. https://doi.org/10.19030/jabr.v25i2.1039
  • Kossovsky, A. E. (2014). Benford’s Law: Theory, the general law of relative quantities, and forensic fraud detection applications. New Jersey: World Scientific.
  • Kossovsky, A. E. (2021). On the mistaken use of the chi-square test in Benford’s Law. Stats, 4(2), 419-453. https://doi.org/10.3390/stats4020027
  • Kuiper, N. H. (1960). Tests concerning random points on a circle. Indagationes Mathematicae (Proceedings), 63, 38-47. https://doi.org/10.1016/S1385-7258(60)50006-0
  • Kumar, K., & Bhattacharya, S. (2007). Detecting the dubious digits: Benford’s law in forensic accounting. Significance, 4(2), 81-83. https://doi.org/10.1111/j.1740-9713. 2007.00234.x
  • Kumar, S. B., Goyal, V., & Mitra, S. K. (2018). Do Indian firms manage earning numbers? An empirical investigation. Academy of Accounting and Financial Studies Journal, 22(1), 1-7. https://www.abacademies.org/articles/Do-indian-firms-manage -earning-numbers-an-empirical-investigation-1528-2635-22-1-113.pdf
  • Mataković, I. C. (2019). The empirical analysis of financial reports of companies in Croatia: Benford distribution curve as a benchmark for first digits. Croatian Review of Economic, Business and Social Statistics, 5(2), 90-100. https://doi.org/10.2478/ crebss-2019-0014
  • Máté, D., Sadaf, R., Tarnóczi, T., & Fenyves, V. (2017). Fraud detection by testing the conformity to Benford’s law in the case of wholesale enterprises. Polish Journal of Management Studies, 16(1), 115-126. https://doi.org/10.17512/pjms.2017.16.1.10
  • Miller, S. J., & Nigrini, M. J. (2008). Order statistics and Benford’s law. International Journal of Mathematics and Mathematical Sciences, 2008, ID 382948, 1-19. https://doi.org/10.1155/2008/382948
  • Morales, H. R., Porporato, M., & Epelbaum, N. (2022). Benford’s law for integrity tests of high-volume databases: A case study of internal audit in a state-owned enterprise. Journal of Economics, Finance and Administrative Science, 27(53), 154-174. https://doi.org/10.1108/JEFAS-07-2021-0113
  • Morrow, J. (2014). Benford’s Law, families of distributions and a test basis (Discussion Paper, No. 1291). Centre for Economic Performance, London School of Economics and Political Science. http://eprints.lse.ac.uk/60364/1/dp1291.pdf
  • Nigrini, M. J. (1994). Using digital frequencies to detect fraud. The White Paper, 8(2), 3-6.
  • Nigrini, M. J. (1996). A taxpayer compliance application of Benford’s Law. The Journal of the American Taxation Association, 18(1), 72-91. https://www.proquest.com/ docview/211023799/fulltextPDF/424F86C4DACC4784PQ/1?accountid=45580
  • Nigrini, M. J. (2000). Digital analysis using Benford’s law: Tests and statistics for auditors. Vancouver: Global Audit Publications. https://doi.org/10.1201/1079/43266. 28.9.20010301/30389.4
  • Nigrini, M. J. (2005). An assessment of the change in the incidence of earnings management around the Enron‐Andersen episode. Review of Accounting and Finance, 4(1), 92-110. https://doi.org/10.1108/eb043420
  • Nigrini, M. J. (2015). Persistent patterns in stock returns, stock volumes, and accounting data in the US capital markets. Journal of Accounting, Auditing & Finance, 30(4), 541-557. https://doi.org/10.1108/eb043420
  • Nigrini, M. J. (2017). Audit sampling using Benford’s law: A review of the literature with some new perspectives. Journal of Emerging Technologies in Accounting, 14(2), 29-46. https://doi.org/10.2308/jeta-51783
  • Nigrini, M. J. (2020). Forensic analytics: Methods and techniques for forensic accounting investigations. New Jersey: John Wiley & Sons.
  • Nigrini, M. J. (2022). Using Benford’s Law to reveal journal entry irregularities: Benford’s Law can help uncover indicators of fraud and anomalies that arise from legitimate business practices. Journal of Accountancy, 234(3), 12-20. https://www.journal ofaccountancy.com/issues/2022/sep/using-benfords-law-reveal-journal-entry-irregularities.html
  • Nigrini, M. J., & Mittermaier, L. J. (1997). The use of Benford’s Law as an aid in analytical procedures. Auditing, 16(2), 52-67. https://www.thefreelibrary.com/The+use+ of+Benford%27s+Law+as+an+aid+in+analytical+procedures-a020746462
  • Özarı, C., & Ocak, M. (2013). Detection of earnings management by applying Benford’s Law in selected accounts: Evidence from quarterly financial statements of Turkish public companies. European Journal of Economics, Finance and Administrative Sciences, 59(4), 37-52. https://www.researchgate.net/publication/270278179_Detection_of_Earnings_Management_by_Applying_Benford%27s_Law_in_Selected_ Accounts_Evidence_From_Quarterly_Financial_Statements_of_Turkish_Public_ Companies
  • Özevin, O., Yücel, R., & Öncü, M. A. (2020). Fraud detecting with Benford’s law: An alternative approach with BDS and critic values. Muhasebe Bilim Dünyası Dergisi, 22(1), 107-126. https://doi.org/10.31460/mbdd.609957
  • Roxas, M. L. (2011). Financial statement fraud detection using ratio and digital analysis. Journal of Leadership, Accountability, and Ethics, 8(4), 56-66. http://www.nabusinesspress.com/JLAE/Roxas84Web.pdf
  • Saville, A. D. (2006). Using Benford’s Law to detect data error and fraud: An examination of companies listed on the Johannesburg Stock Exchange. South African Journal of Economic and Management Sciences, 9(3), 341-354. https://doi.org/10.4102/ sajems.v9i3.1092
  • Skousen, C. J., Guan, L., & Wetzel, T. S. (2004). Anomalies and unusual patterns in reported earnings: Japanese managers round earnings. Journal of International Financial Management & Accounting, 15(3), 212-234. https://doi.org/10.1111/ j.1467-646X.2004.00108.x
  • Tam Cho, W. K., & Gaines, B. J. (2007). Breaking the (Benford) Law: Statistical fraud detection in campaign finance. The American Statistician, 61(3), 218-223. https:// doi.org/10.1198/000313007X223496
  • Tilden, C., & Janes, T. (2012). Empirical evidence of financial statement manipulation during economic recessions. Journal of Finance and Accountancy, 10(1), 1-15. https://www.aabri.com/OC2012Manuscripts/OC12064.pdf
  • Tsagbey, S., de Carvalho, M., & Page, G. L. (2017). All data are wrong, but some are useful? Advocating the need for data auditing. The American Statistician, 71(3), 231-235. https://doi.org/10.1080/00031305.2017.1311282
  • Zdraveski, D., & Janeska, M. (2021). Application of Benford’s law for detecting manipulation in the financial statements in Macedonian companies. Annals of the “Constantin Brancusi“ University of Targu Jiu, Economy Series, 6, 4-13. https://www. utgjiu.ro/revista/ec/pdf/2021-06/01_Dejan.pdf
  • Žgela, M., & Dobša, J. (2011). Analysis of top 500 Central and East European companies net income using Benford’s law. Journal of Information and Organizational Sciences, 35(2), 215-228. https://jios.foi.hr/index.php/jios/article/view/205

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
14188721

YADDA identifier

bwmeta1.element.ojs-doi-10_22367_jem_2023_45_10
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.