Beneish M-score

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The Beneish model is a statistical model that uses financial ratios calculated with accounting data of a specific company in order to check if it is likely (high probability) that the reported earnings of the company have been manipulated.

How to calculate[]

The Beneish M-score is calculated using 8 variables (financial ratios):[1][2]

  • Days Sales in Receivables Index

(DSRI) DSRI = (Net Receivablest / Salest) / (Net Receivablest-1 / Salest-1)

  • Gross Margin Index (GMI)

GMI = [(Salest-1 - COGSt-1) / Salest-1] / [(Salest - COGSt) / Salest]

  • Asset Quality Index (AQI)

AQI = [1 - (Current Assetst + PP&Et + Securitiest) / Total Assetst] / [1 - ((Current Assetst-1 + PP&Et-1 + Securitiest-1) / Total Assetst-1)]

  • Sales Growth Index (SGI)

SGI = Salest / Salest-1

  • Depreciation Index (DEPI)

DEPI = (Depreciationt-1/ (PP&Et-1 + Depreciationt-1)) / (Depreciationt / (PP&Et + Depreciationt))

  • Sales General and Administrative Expenses Index (SGAI)

SGAI = (SG&A Expenset / Salest) / (SG&A Expenset-1 / Salest-1)

  • Leverage Index (LVGI)

LVGI = [(Current Liabilitiest + Total Long Term Debtt) / Total Assetst] / [(Current Liabilitiest-1 + Total Long Term Debtt-1) / Total Assetst-1]

  • Total Accruals to Total Assets (TATA)

TATA = (Income from Continuing Operationst - Cash Flows from Operationst) / Total Assetst

The formula to calculate the M-score is:[1]

M-score = −4.84 + 0.92 × DSRI + 0.528 × GMI + 0.404 × AQI + 0.892 × SGI + 0.115 × DEPI −0.172 × SGAI + 4.679 × TATA − 0.327 × LVGI

How to interpret[]

The threshold value is -1.78 for the model whose coefficients are reported above. (see Beneish 1999, Beneish, Lee, and Nichols 2013, and Beneish and Vorst 2020).

  • If M-score is less than -1.78, the company is unlikely to be a manipulator. For example, an M-score value of -2.50 suggests a low likelihood of manipulation.
  • If M-score is greater than −1.78, the company is likely to be a manipulator. For example, an M-score value of -1.50 suggests a high likelihood of manipulation.

Important notices[]

  • Beneish M-score is a probabilistic model, so it cannot detect companies that manipulate their earnings with 100% accuracy.
  • Financial institutions were excluded from the sample in Beneish paper when calculating M-score. It means that the M-score for fraud detection cannot be applied among financial firms (banks, insurance).[dubious – ][citation needed]

Example of successful application[]

Enron Corporation was correctly identified 1998 as an earnings manipulator by students from Cornell University using M-score.[citation needed] Noticeably, Wall Street financial analysts[who?] were still recommending to buy Enron shares at that[which?] point in time.[citation needed]

Further reading on financial statement manipulation[]

  • A sequence of articles on Alpha Architect blog.[3][4][5]
  • An article on Investopedia about different types of financial statement manipulation ("smoke and mirrors", "elder abuse", "fleeing town", and others).[6]

See also[]

References[]

  1. ^ Jump up to: a b Messod D. Beneish. "The Detection of Earnings Manipulation". Scribd. Retrieved 2017-01-08.
  2. ^ "Beneish M Score Definition". ycharts.com. Retrieved 2017-01-08.
  3. ^ "Attention Value Investors: How to Predict Accounting Trickery". Alpha Architect. 2015-04-20. Retrieved 2017-01-28.
  4. ^ "The Accrual Anomaly For Dummies". Alpha Architect. 2011-09-07. Retrieved 2017-01-28.
  5. ^ "Managing the Risks of Permanent Capital Impairment (Part 1 of 4)". Alpha Architect. 2012-06-25. Retrieved 2017-01-28.
  6. ^ Beattie, Andrew (2006-11-26). "Common Clues Of Financial Statement Manipulation". Investopedia. Retrieved 2017-01-28.
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