Composite Factors
Companies that are caught manipulating their earnings tend to see their stocks plummet in value. Is there a way to detect earnings manipulation only by looking at the financial statements?
The Mscore
Professor Messoud D. Beneish studied the characteristics of earnings manipulators and used this to create a model that is pretty good at detecting this type of companies. In his most recent paper, he demonstrates that the model correctly identified a large majority (71%) of the most famous accounting fraud cases that surfaced after the model's estimation period in advance of public disclosure. The model attained widespread recognition after a group of MBA students posted the earliest warning about Enron's accounting manipulation using the Beneish model a full year before the first analyst reports.
While very few companies get indicted for accounting fraud, the Mscore helps predict a firm's prospects.
To the extent that the pricing implications of these accountingbased indicators are not fully transparent to investors, firms that “look like” past earnings manipulators will also earn lower future returns.
Beneish initially described his Mscore as a detector for companies that manipulate earnings. (click here to read his original paper.). In his more recent work, he reveals that the Mscore is also an excellent predictor of future stock returns.
 The firms with a higher probability of manipulation (Mscore) earn lower returns in every decile portfolio sorted by size, booktomarket, momentum, accruals, and shortinterest.
 The predictive power of Mscore is related to its ability to forecast the persistence of currentyear accruals. High Mscore firms have incomeincreasing accruals that are much more likely to disappear next year and incomedecreasing accruals that are more likely to persist.
 The predictive power of the Mscore is most pronounced for lowaccrual (ostensibly high qualityearnings) companies.
 The variables that relate to the predisposition to commit fraud (higher sales growth, change in assets quality, and increase in leverage) , rather than the variables associated with the level of aggressive accounting, are the primary drivers of the incremental power of the model.
 Abnormal returns are witnessed in the threeday windows centered on the next four earnings announcements.
How do you calculate the Mscore?
The Mscore is based on eight variables, of which some are designed to capture the effects of manipulation while others show preconditions that may prompt firms to engage in such activity. While Beneish takes data from the fiscal years, we use the last trailing twelvemonth (TTM) numbers as the current year (year t). For year t1, we take the TTM results for the 12 months before year t.
 Days Sales in Receivables Index (DSRI): The ratio of days sales in receivables during the last year (t)
compared to the year before (t1). A disproportionate increase in receivables relative to sales may be suggestive of revenue inflation.
$$\mathrm{Days\; Sales\; In\; Receivables\; Index}=\frac{\frac{\mathrm{Net\; Receivables}}{\mathrm{Net\; Sales\; or\; Revenues}}}{\frac{\mathrm{Net\; Receivables\; y1}}{\mathrm{Net\; Sales\; Or\; Revenues\; y1}}}$$
 Gross Margin Index (GMI): A value greater than 1 indicates that margins have deteriorated.
This signals poor prospects and might lead to earnings manipulation.
$$\mathrm{Gross\; Margin\; Index}=\frac{\mathrm{Gross\; Margin\; y1}}{\mathrm{Gross\; Margin}}$$
 Asset Quality Index (AQI): Asset Quality is the ratio of noncurrent assets other than plan, property, and equipment as a proportion of total assets. An AQI greater than 1 indicates that a firm has potentially increased its involvement in cost deferral.
$$\mathrm{Asset\; Quality\; Index}=\frac{1\left(\frac{\mathrm{Current\; Assets}+\mathrm{Net\; Property,\; Plant\; \&\; Equipment}}{\mathrm{Total\; Assets}}\right)}{1\left(\frac{\mathrm{Current\; Assets\; y1}+\mathrm{Net\; Property,\; Plant\; \&\; Equipment\; y1}}{\mathrm{Total\; Assets\; y1}}\right)}$$
 Sales Growth Index (SGI): Growth does not imply manipulation, but growth firms are more likely to commit fraud because their financial position and capital needs put pressure on managers to achieve earnings targets.
In addition, controls and reporting tend to lag behind operations in periods of high growth. Any perception of decelerating growth can significantly impact the value of the stock and be very costly to manage. A value greater than one increases the probability of earnings manipulation.
$$\mathrm{Sales\; Growth\; Index}=\frac{\mathrm{Net\; Sales\; or\; Revenues}}{\mathrm{Net\; Sales\; Or\; Revenues\; y1}}$$
 Depreciation Index (DEPI): The rate of depreciation in year t1 / year t. The rate of depreciation is equal to depreciation / (depreciation + net
property, plant & equipment). If this value is greater than 1, this means that the rate at which assets are depreciated has slowed down.
Either management revised the estimates of assets useful lives upwards or adopted a new income method.
$$\mathrm{Depreciation\; Index}=\frac{\frac{\mathrm{Depreciation\; Depletion\; Amortization\; y1}}{\mathrm{Depreciation\; Depletion\; Amortization\; y1}+\mathrm{Net\; Property,\; Plant\; \&\; Equipment\; y1}}}{\frac{\mathrm{Depreciation\; Depletion\; Amortization}}{\mathrm{Depreciation\; Depletion\; Amortization}+\mathrm{Net\; Property,\; Plant\; \&\; Equipment}}}$$
 Sales General and Administrative Expenses Index (SGAI): The ratio of SGA to sales in year t / year t1.
Analysts would interpret a disproportionate increase in sales as a negative signal about the firm's prospects. Beneish expects a positive relation between SGAI and the probability of manipulation.
$$\mathrm{SGA\; Index}=\frac{\frac{\mathrm{SGA\; Expenses}}{\mathrm{Net\; Sales\; or\; Revenues}}}{\frac{\mathrm{SGA\; Expenses\; y1}}{\mathrm{Net\; Sales\; Or\; Revenues\; y1}}}$$
 Leverage Index (LVGI): The ratio of total debt to total assets in year t relative to year t1.
A value greater than 1 indicates an increase in leverage.
$$\mathrm{Leverage\; Index}=\frac{\frac{(\mathrm{Long\; Term\; Debt}+\mathrm{Current\; Liabilities})}{\mathrm{Total\; Assets}}}{\frac{(\mathrm{Long\; Term\; Debt\; y1}+\mathrm{Current\; Liabilities\; y1})}{\mathrm{Total\; Assets\; y1}}}$$
 Total Accruals to Total Assets (TATA): Total accruals is calculated as the change in working capital accounts
other than cash less depreciation. This ratio proxies the extent to which cash underlies reported earnings. Higher
positive accruals (less cash) indicates a higher likelihood of earnings manipulation.
$$\mathrm{Total\; Accruals\; to\; Total\; Assets}=\frac{(\mathrm{Net\; Income}\mathrm{Cash\; Flow\; from\; Operations}\mathrm{Cash\; Flow\; from\; Investments})}{\mathrm{Total\; Assets}}$$
Let's take an example we found in the stock screener: Microstrategy
This company has been selling analytics software for more than 20 years and has 2,000 employees. Recently the company decided to dramatically increase its debt level to place a significant bet on bitcoin. At present, the company holds $92,000 bitcoins, with a current market value of 3.7bn. Its market cap is 4,6bn.
After six years of declining revenue, the company seems to be making a turnaround. It reported that its Q1 revenue was up 10.3%. EBIT increased fro $0.1 to $+10.9m.
The Beneish Mscorecard
As you can see, the total score is 0.19, which is above the 1.78 threshold. According to the formula, this makes it a suspect of earnings manipulation. Other services like gurufocus give it an even worse score of 8.35, but this is incorrect and we will explain why.
We can also see that it's suspect on four signals: asset quality, depreciation rate, leverage, and accruals. Let's dive into a bit more detail.
Asset quality index
As you can see in the screenshot below, the company significantly increased its noncurrent assets. This is easy to explain by the investment in bitcoins. As a result of this transaction, this ratio went up from 0.03 to 0.85. But here's where companies like gurufocus make a mistake. The ratio last year was so low that any increase would have a significant impact. And because the Mscore is just the weighted sum of these eight factors, it can have an important overall impact.
To solve this issue, Beneish winsorizes percentile 1 and 99. This means that he replaces this score with the median score of percentile 2 and 98. As a result of this, we use 3.28 instead of 27.92. If we had used 27.92, the Mscore would have been close to what gurufocus calculated.
The following suspect ratio is the rate of depreciation, which seems to have slowed down by 13%.
As the company financed its bitcoin purchases almost exclusively with debt, it increased its leverage significantly. So far, this bet has paid off nicely, but the bitcoin has plunged 40% since midApril. Investors fear that regulators worldwide will crack down on these virtual assets, and Elon Musk voiced concerns about the adverse effects on the environment. Finally, the accrual rate compared to assets was 78%. This means that a significant share of the company's income is not supported by cash flow. This article should not be considered investment advice; in fact, Microstrategy has been very successful so far. The purpose is to show our Beneish Mscorecard and what kind of signals it provides.Mscore as secondary ratio
Our members typically use the Beneish score to filter the results of other screens. They typically use it when scanning new markets for value stocks since they're unfamiliar with the companies. Since a share of the companies discovered manipulating earnings would eventually see their stocks plummet in value, it provides extra security to filter these potential manipulators out of the screener.
Related Articles
In our blog:

How to detect earnings manipulation and to avoid a permanent loss of capital
After all, you only find out who is swimming naked when the tide goes out.Warren Buffett There a basically two main reasons for a total loss of capitalcompanies that are cooking the books; financial statements manipulation and fraud bankruptcyIn most cases these risk are frequently found together.. more...
In our scorecard manual:

Beneish MScore
The MScore was created by professor Beneish.. more...