Unexpectedly Intriguing!
02 October 2008

Magnifying Glass for Fighting FraudOne of the biggest challenges facing investors is represented by the handful of companies whose leaders are deliberately putting forward a false picture of how their business is doing. Companies like Fannie Mae, Freddie Mac, or Enron to name just three where corrupt accounting practices put into play by crooked company executives deceived millions of typical investors into buying stock in poorly run businesses, the value of whose profits and assets were little but an illusion.

So how can you know? Better yet, how can you know before you put any part of your retirement nest egg in one of these investor death traps?

There isn't a perfect answer, but Patricia M. DeChow, Weili Ge, Chad R. Larson and Richard G. Sloan have introduced a statistical model that typical investors might be able use to correctly identify over 60% of the very small fraction of the publicly traded companies whose financial statements may have been fudged with phony accounting manipulations.

We're not kidding when we say that this problem is driven by just a handful of companies. For their 2007 paper, Predicting Accounting Manipulations, the authors reviewed Compustat data from 1979 through 2002, noting were 494 instances over that period in which firms were identified as having manipulated data in their annual financial reports by the SEC. By contrast, the authors' data sample had 143,452 instances where no manipulation of financial data was identified by the SEC, which puts the unconditional odds of randomly stumbling upon one of these fraudulent financial-reporting firms at 0.34%.

By taking data available in a publicly-traded company's annual reports, you can use the model to determine the likelihood that the company manipulated its financial data for a given year by finding its Fraud Score, or F-Score. We've created the tool below that you can use to run the numbers, given just the information available in a company's annual report or SEC 10-K filing - the default data is that for Enron for 2000 (the data is specifically drawn from Enron's annual reports for 1999 and 2000):

Income Statement Data
Input Data Year of Interest One Year Prior Two Years Prior
Sales (Revenues)
Net Income Before Extraordinary Items or Cumulative Effect of Accounting Changes
Balance Sheet Statement Data
Input Data Year of Interest One Year Prior Two Years Prior
Cash and Cash Equivalents
Short Term Investments
Receivables (Total)
Inventories (Total)
Total Assets
Preferred Stock (Total)
Total Shareholder's (or Owner's) Equity
Statement of Cash Flows Data
Input Data Year of Interest One Year Prior Two Years Prior
Issuance of Long-Term Debt
Issuance of Common or Preferred Stock

Probability of Accounting Manipulations
Calculated Results Values

In the tool above, a positive indication of potential fraud for the F-Score is a value greater than 1.00, but that doesn't necessarily mean that the firm in question is cooking their books. Rather, the inventors of the F-Score suggest that it's an indication that a further, more detailed investigation into the particular company's finances is warranted.

Using the authors' model, the results from their test sample seems pretty impressive. The method correctly identified 324 of 494 known instances of manipulations as identified by the SEC, or 65% of the known total. But, the method also raised a red flag for 51,061 out of the 143,452 instances of non-manipulation, which represents a pretty significant false-positive rate.

In reviewing the math behind the model, we noted that the largest single factor impacting whether or not the F-Score would rise over a value of 1.00 was whether or not the company in question issued new long-term debt or shares of common or preferred stock. If a company raises capital through either these financing methods, doing so will add quite a bit to their F-Score. As a side note, obtaining additional financing through these methods is a primary motive for crooked corporate executives falsifying their financial reports, which helps explain why it figures so prominently in the F-Score calculation.

As a result, for any investor using this tool, it may be very useful to consider the margin by which the F-Score for the company in question exceeds the 1.00 threshold. Going back to the default data set up in the tool, we find that Enron had an F-Score of 1.85 in 2000, which well exceeds the 1.00 threshold suggested for a positive indication (and nearly doubles it!). That kind of clear warning could have saved an individual considering their investment in Enron, or just considering investing in Enron, a huge amount of money as it came well before the company finally imploded.

For an individual investor, the ability to be able to screen out the companies with high F-Scores from their investment holdings might make the job of investing a lot less risky. Considering how crooked accounting manipulations contributed to the failures of both Fannie Mae and Freddie Mac, the repercussions of which are now threatening the entire credit market, isn't the F-Score a tool you should be using?

Related Tools at Political Calculations

Predicting Bankruptcy

How likely is it that a publicly traded company will declare bankruptcy in the next year? Our tool for calculating the company's Altman Z-Score can answer! Very popular lately with investors looking at General Motors' situation.


Does that publicly-traded company have enough money flowing through its veins to keep operating?

Related Ticker Symbols: GM, FNM, FRE, ENE (ENE no longer active).

Labels: , , , ,

About Political Calculations

Welcome to the blogosphere's toolchest! Here, unlike other blogs dedicated to analyzing current events, we create easy-to-use, simple tools to do the math related to them so you can get in on the action too! If you would like to learn more about these tools, or if you would like to contribute ideas to develop for this blog, please e-mail us at:

ironman at politicalcalculations

Thanks in advance!

Recent Posts

Indices, Futures, and Bonds

Closing values for previous trading day.

Most Popular Posts
Quick Index

Site Data

This site is primarily powered by:

This page is powered by Blogger. Isn't yours?

CSS Validation

Valid CSS!

RSS Site Feed

AddThis Feed Button


The tools on this site are built using JavaScript. If you would like to learn more, one of the best free resources on the web is available at W3Schools.com.

Other Cool Resources

Blog Roll

Market Links

Useful Election Data
Charities We Support
Shopping Guides
Recommended Reading
Recently Shopped

Seeking Alpha Certified