M Score
The Beneish M-Score is the result of the calculation of the Beneish model, which uses financial ratios to determine whether a company has manipulated its profits. It is a tool used to detect financial fraud. The model was created by professor Messod Beneish in June 1999 after publishing a paper called The Detection of Earnings Manipulation.
M-Score calculates the degree of manipulation in earnings by the company. The Beneish M-Score model helps analysts in predicting these high-profile failures.
The Beneish M-Score (M) is made up of eight variables which are as follows:
The formula for the Beneish M-score is: 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
Variable 1-Days Sales in Receivables Index (DSRI)
It is the ratio of days sales in receivables in a year concerning the previous year. The large increase in the value of DSR is an indicator of revenue inflation.
DSRI = (Net Receivablest / Salest) / Net Receivables t-1 / Sales t-1)
Variable 2 - Gross Margin Index (GMI)
It is the ratio of the year’s gross margin concerning the previous year.
GMI = [(Sales t-1– COGS t-1) / Sales t-1] / [(Salest – COGSt) / Salest]
Variable 3 - Asset Quality Index (AQI)
The ratio of non-current assets
(other than the plant, property, and the equipment) to total assets of a year versus the prior year.
AQI = [1 – (Current Assetst + PP&Et + Securitiest) / Total Assetst] / [1 – ((Current Assets t-1+ PP&E t-1 + Securities t-1) / Total Assets t-1)]
Variable 4 - Sales Growth Index (SGI)
It is the ratio of sales of a year to the previous year.
SGI = Salest / Salest-1
Variable 5 - Depreciation Index (DEPI)
The ratio of the depreciation rate of a year
to the previous year.
DEPI = (Depreciation t-1/ (PP&E t-1 + Depreciation t-1)) / (Depreciation t / (PP&E t + Depreciation t))
Variable 6 - Sales, General, and Administrative expenses Index (SGAI)
It is the ratio of SG&A expenses of a year to the previous year.
SGAI = (SG&A Expense t / Sales t) / (SG&A Expense t-1/ Sales t-1)
Variable 7 - Leverage Index (LVGI)
It is the ratio of total debt to total assets of a year concerning the previous year.
LVGI = [(Current Liabilities t + Total Long Term Debt t) / Total Assets t] / [(Current Liabilities t-1 + Total Long Term Debt t-1) / Total Assets t-1]
Variable 8 - Total Accruals to Total Assets (TATA)
It is calculated as the change in working capital
accounts other than the cashless depreciation.
TATA = (Income from the Continuing Operations t – Cash Flows from the Operations t) / Total Assets t
Example of M Score calculation
Company XYZ.
Current Last
Year Year
Revenue 232,887 177,866
Cost of Goods Sold 127,056 103,134
Selling, General, & Admin. Expense
81,014 61,612
Depreciation 12,575 9,166
Net Income from Operations 10,073 3,033
Accounts Receivables 13,310 9,692
Current Assets 75,101 60,197
Property, Plants, & Equipment 95,770 68,573
Securities (Long term Invest.) 942 737
Total Assets 162,648 131,310
Current Liabilities 8,391 57,883
Total Long-term Debt 39,787 37,926
Cash Flow from Operations 30,723 18,434
Equation for calculation
Day Sales in Receivables Index (DSRI)
=Accounts Receivables ÷ Revenue x 365
Gross Margin Index (GMI)
=(Revenue -Cost of Goods Sold) ÷ Revenue
Asset Quality Index (AQI)
= 1-(Current Assts+Property, Plants, & Equipment+Securities) ÷ Total Assets
Sales Growth Index (SGI) = Revenue
Depreciation Index (DEPI)
= Depreciation /(Property, Plants, & Equipment +Depreciation)
Selling, General, & Admin. Expenses Index (SGAI)
= Selling, General, & Admin. Expense ÷ Revenue
Leverage Index (LVGI)
= (Current liabilities +Total Long-term Debt) ÷ Total Assets
Total Accruals to Total Assets (TATA)
= (Net Income from Continuing Operations- Cash flow from an operation) ÷ Total Assets
Index = Current Year ÷ Previous year
Financial Ratios Indexes Current Year Last Year Index
Day Sales in Receivables Index (DSRI)
20.86 19.89 1.05
Gross Margin Index (GMI) 0.45 0.42 0.92
Asset Quality Index (AQI) -1.06 -0.99 1.07
Sales Growth Index (SGI) 232,887 177,866 1.31
Depreciation Index (DEPI) 0.12 0.12 1.02
Selling, General, & Admin. Expenses Index (SGAI)
0.35 0.35 1.00
Leverage Index (LVGI) 0.67 0.73 0.91
Total Accruals to Total Assets (TATA) -0.13 -0.13
Beneish M Score -2.734
i.e. XYZ is not likely to have manipulated their earnings.
Decision Criteria
Beneish M Score < -2.22: Company is not likely to have manipulated their earnings
Beneish M Score > -2.22: Company is likely to have manipulated their earnings