A powerful new tool for all forensic accountants, or anyone who analyzes data that may have been altered Benford's Law gives the expected patterns of the digits in the numbers in tabulated data such as town and city populations or Madoff's fictitious portfolio returns. Those digits, in unaltered data, will not occur in equal proportions; there is a large bias towards the lower digits, so much so that nearly one-half of all numbers are expected to start with the digits 1 or 2. These patterns were originally discovered by physicist Frank Benford in the early 1930s, and have since been found to apply to all tabulated data. Mark J. Nigrini has been a pioneer in applying Benford's Law to auditing and forensic accounting, even before his groundbreaking 1999 Journal of Accountancy article introducing this useful tool to the accounting world. In Benford's Law, Nigrini shows the widespread applicability of Benford's Law and its practical uses to detect fraud, errors, and other anomalies. * Explores primary, associated, and advanced tests, all described with data sets that include corporate payments data and election data * Includes ten fraud detection studies, including vendor fraud, payroll fraud, due diligence when purchasing a business, and tax evasion * Covers financial statement fraud, with data from Enron, AIG, and companies that were the target of hedge fund short sales * Looks at how to detect Ponzi schemes, including data on Madoff, Waxenberg, and more * Examines many other applications, from the Clinton tax returns and the charitable gifts of Lehman Brothers to tax evasion and number invention Benford's Law has 250 figures and uses 50 interesting authentic and fraudulent real-world data sets to explain both theory and practice, and concludes with an agenda and directions for future research. The companion website adds additional information and resources.
Praise for Benford's Law Applications for Forensic Accounting, Auditing, and Fraud Detection
"Mark Nigrini . . . took Benford's original data and developed it into solid analytical methods to detect a variety of white-collar misdeeds: vendor, payroll, and sales tax frauds; fraudulent medical and insurance claims; check fraud and tax evasion among others. In other words, Dr. Nigrini has put Benford's Law on the map. With the passage of time, he and others will find additional useful applications for this powerful tool."
—From the Foreword by Dr. Joseph T. Wells, CFE, CPA
Apply Benford's Law to detect fraud and to test the integrity of your data
Numbers play an important part in our lives from weather forecasts to the stock market, and from street addresses and phone numbers to baseball statistics and casino games. It would be impossible to take numbers out of our daily lives. The secret is out that there are patterns to the numbers that we come across every day, and more importantly, that deviations from these patterns are red flags for fraud, errors, and biases.
Author Mark Nigrini, a pioneer in forensic accounting, describes the mathematical foundations of Benford's Law in a way that is easily understood by accounting and other business-related professionals. He then shows many examples of authentic and accurate data that conformed to Benford's Law—and the fraudulent and invented numbers that did not.
Nigrini goes way beyond the first digits test and outlines a series of digit- and number-based tests called the Nigrini Cycle. With a companion website with data sets and Excel templates, these tests are based on the state-of-the-art tools, thinking, and research related to Benford's Law.
The applications include:
The Madoff numbers
GM and Chrysler bankruptcy data
Numbers reported by Enron and AIG
Bill and Hillary Clinton's tax returns
U.S. census population numbers
Corporate payments data
The Fibonacci numbers
Taxpayer interest and dividend income
Benford's Law "gives Professor Nigrini a tool worthy of Sherlock Holmes," said Robert Burton, chief financial investigator for the district attorney's office in Brooklyn, New York. In Benford's Law, Nigrini shares his insights and passion for the topic in a way that is sure to cause fraudsters to have many sleepless nights in the years ahead.
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