Financial Forensics and Made-Off Scandal

Several readers have offered comments about signals they deem could have and should have been indicators of trouble. Adding to our January 13, 2009 list ("Madoff Red Flags" How Many Can You Count?"), the tally now includes:
- Regularity of returns despite market volatility
- Complex strategy
- Poor transparency about performance reporting standards
- Unknown audit firm
- Seemingly limited due diligence by some parties
- Unclear assignment of investigation-related duties (knowing who does what)
- Questionable diversification
- Few questions asked about risks
- Limited internal controls, if any
- Lure of "movie star" reputation
- Limited attention paid to hedging efficacy
- Limited knowledge of rebalancing techniques
- Limited knowledge of trading limits and stop loss points
- Limited knowledge of collateral risk
- Unclear understanding as to who played the role of fiduciary
- Limited knowledge about asset valuations and related valuation process
- Absence of an independent custodian to safe keep assets
- Analysis of option open interest and trading volume activity that would have shown "bad math" (reality versus alleged activity on the part of Madoff affiliates).
According to "Risk test study of Madoff claims" by Anuj Gangahar (Financial Times, January 21, 2009), a bias ratio computation could have likewise shed light on what is now accepted by most as the largest financial scandal in modern times. Believed to be akin to a test for randomness, the bias ratio is "a mathematical technique that identifies abnormalities in the distribution of investment returns." (I wrote about the bias ratio in "Hedge Fund Returns - Illusion or Fact?" on July 15, 2007. Riskdata is releasing a study today on their findings.)
Gangahar likewise mentions something called Benford's Law, a comparable method that is used by forensic specialists to detect accounting fraud. According to "I've Got Your Number" by Mark J. Nigrini (Journal of Accountancy, May 1999), a physicist named Benford discovered that "numbers with low first digits occurred more frequently in the world." Applied to Madoff, observations made by this 1920's GE employee could infer that sustained steady growth would have been highly improbable. (Paul Kedrosky, author of "Infectious Greed" seems to debunk the value of Benford's Law as applied to Madoff returns. See "Bernie vs. Benford's Law: Madoff Wasn't That Dumb," December 19, 2008.)
Editor's Note: Keep in mind that underlying assumptions for any mathematical technique that is used to detect fraud and/or lack of randomness must comport with reality. In the Madoff situation, an option strategy referred to as a "split strike conversion" was heavily relied upon. It would be helpful to know if any Madoff-related risk analyses took into account the asymmetry of historical statistical returns for this option collar technique.
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