Corporate governance chart of the day, Benford’s Law edition

October 12, 2011
Jialan Wang, and it shows the degree to which companies' reported assets and revenues deviate from a Benford's Law prediction over time.

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This chart was put together by Jialan Wang, and it shows the degree to which companies’ reported assets and revenues deviate from a Benford’s Law prediction over time. (If you want some good background on Benford’s Law and how it can uncover dodgy numbers from eg the Greek government, Tim Harford had a great column last month on the subject.)

Writes Wang:

Deviations from Benford’s law have increased substantially over time, such that today the empirical distribution of each digit is about 3 percentage points off from what Benford’s law would predict. The deviation increased sharply between 1982-1986 before leveling off, then zoomed up again from 1998 to 2002. Notably, the deviation from Benford dropped off very slightly in 2003-2004 after the enactment of Sarbanes-Oxley accounting reform act in 2002, but this was very tiny and the deviation resumed its increase up to an all-time peak in 2009.

So according to Benford’s law, accounting statements are getting less and less representative of what’s really going on inside of companies. The major reform that was passed after Enron and other major accounting standards barely made a dent.

This doesn’t necessarily mean fraud, per se; it could just be a chart of the degree to which companies are managing and massaging their quarterly figures over time. The kind of fraud that’s so respectable, Jack Welch got lionized for it. Once you start down that road, it’s easy to go further and further forwards, while it’s almost impossible to reverse course. So I can easily see how the natural tendency in this chart would be up and to the right.

Still, it’s worrying; all the more so because I can’t think of any way of reversing the trend. If Sarbox can’t do it, nothing will.


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