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Co-authored-by: jose-donato <zmcdonato@gmail.com>
Co-authored-by: jose-donato <43375532+jose-donato@users.noreply.github.com>
Co-authored-by: andrewkenreich <andrew.kenreich@gmail.com>
An in-depth look at various statistical models for detecting fraud in a company's reported earnings. Includes discussions on the Beneish model, Zmijewski Score, and McKee Score; and use of different indices like Days Sales in Receivables Index, Gross Margin Index, Asset Quality Index, and more.
Beneish model
Zmijewski Score
McKee Score
Days Sales in Receivables Index
Gross Margin Index
Asset Quality Index
Sales Growth Index
Depreciation Index
Sales General and Administrative Expenses Index
Leverage Index
Total Accruals to Total Assets
Fraud detection
Earnings manipulation
import HeadTitle from '@site/src/components/General/HeadTitle.tsx';
M-score: ------------------------------------------------ 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. A score of -5 to -2.22 indicated a low chance of fraud, a score of -2.22 to -1.78 indicates a moderate change of fraud, and a score above -1.78 indicated a high chance of fraud.[Source: Wikipedia] DSRI: Days Sales in Receivables Index gauges whether receivables and revenue are out of balance, a large number is expected to be associated with a higher likelihood that revenues and earnings are overstated. GMI: Gross Margin Index shows if gross margins are deteriorating. Research suggests that firms with worsening gross margin are more likely to engage in earnings management, therefore there should be a positive correlation between GMI and probability of earnings management. AQI: Asset Quality Index measures the proportion of assets where potential benefit is less certain. A positive relation between AQI and earnings manipulation is expected. SGI: Sales Growth Index shows the amount of growth companies are having. Higher growth companies are more likely to commit fraud so there should be a positive relation between SGI and earnings management. DEPI: Depreciation Index is the ratio for the rate of depreciation. A DEPI greater than 1 shows that the depreciation rate has slowed and is positively correlated with earnings management. SGAI: Sales General and Administrative Expenses Index measures the change in SG&A over sales. There should be a positive relationship between SGAI and earnings management. LVGI: Leverage Index represents change in leverage. A LVGI greater than one indicates a lower change of fraud. TATA: Total Accruals to Total Assets is a proxy for the extent that cash underlies earnings. A higher number is associated with a higher likelihood of manipulation. Z-score: ------------------------------------------------ The Zmijewski Score is a bankruptcy model used to predict a firm's bankruptcy in two years. The ratio uses in the Zmijewski score were determined by probit analysis (think of probit as probability unit). In this case, scores less than .5 represent a higher probability of default. One of the criticisms that Zmijewski made was that other bankruptcy scoring models oversampled distressed firms and favored situations with more complete data.[Source: YCharts] McKee-score: ------------------------------------------------ The McKee Score is a bankruptcy model used to predict a firm's bankruptcy in one yearIt looks at a company's size, profitability, and liquidity to determine the probability.This model is 80% accurate in predicting bankruptcy.