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Dechow F-Score: an earnings-manipulation risk signal

The Dechow F-Score builds on the 'Predicting Material Accounting Misstatements' model (Dechow et al., 2011). It scores how closely a company's financial statements resemble those of firms whose accounting was later found to be misstated. The result is a multiple of the average firm's misstatement probability. It is a signal about whether earnings quality deserves a closer look, not evidence that earnings were manipulated.

Formula

The model is a logit.

Predicted value = -7.893 + 0.79·RSST + 2.518·ΔAR + 1.191·ΔInv + 1.979·soft assets -0.932·ΔROA + 1.029·financing

Probability = 1 ÷ (1 + e−predicted value), F-Score = probability ÷ 0.0037 (0.0037 is the unconditional misstatement rate in the sample)

An F-Score of 1 means the same level as the average firm; 2 means twice as high. Zones: above 2.45 high risk, above 1.85 substantial risk, above 1 above-normal risk, otherwise below-normal.

Components

Worked example

The result for the fictional company used throughout these guides, current and prior year. The figures come from Caveat's calculation engine.

TermValueWeight
RSST accruals (change in net operating assets ÷ average total assets)0.03530.79
Change in receivables ÷ average total assets0.02352.518
Change in inventory ÷ average total assets0.01181.191
Soft-assets share0.52781.979
Change in ROA (current − prior)0.0333-0.932
New financing (borrowings increased = 1)01.029

The F-Score is 0.31, which is below-normal risk: 0.31 times the level of an average firm.

How to read it

Both sides: a high score can be explained by expansion, while a low score still calls for checks if cash flow and profit move in different directions. Read it together with other earnings-quality measures such as operating cash flow relative to net income.

Limitations

FAQ

Does a high Dechow F-Score mean fraud?
No. It is a statistical signal that the financial profile resembles firms with past misstatements, and ordinary growth can raise it. The starting point is to find which term raised the score.
What does an F-Score of 1.0 mean?
The same level as the average misstatement probability in the sample. 2.0 is twice that.
Is it the same as the Piotroski F-Score?
Only the name is similar. The Piotroski F-Score grades financial strength on nine criteria, while the Dechow F-Score is a model of the probability of accounting misstatement.
Which financial statement items are needed?
Current and prior-year total assets, equity, borrowings, cash, receivables, inventory, net PP&E and net income. Both years are required.

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