Roger S. Debreceny Shidler College of Business University of Hawai‘i at Mānoa Glen L. Gray College of Business & Economics California State University,

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Roger S. Debreceny Shidler College of Business University of Hawai‘i at Mānoa Glen L. Gray College of Business & Economics California State University, Northridge Data Mining Journal Entries for Fraud Detection: A Pilot Study Symposium on Information Systems Assurance October 1-3, 2009

Learning from History

Some Bad Boys WorldCom Many adjusting journal entries from expense accounts to capital expenditure accounts Amounts large and well known in organization Not well hidden—large, round amounts Designed to influence disclosure rather than recognition JEs made at corporate level Cendant Corporation Many small JEs Xerox, Enron, and Adelphia…

Learning from History -Cendant “shows to have been a carefully planned exercise”.. with a large number of “unsupported journal entries to reduce reserves and increase income were made after year-end and backdated to prior months; merger reserves were transferred via inter- company accounts from corporate headquarters to various subsidiaries and then reversed into income; and reserves were transferred from one subsidiary to another before being taken into income” Special report to Audit Committee

Research Background

Background Financial statement manipulations Journal entry manipulations Increased emphasis on fraud detection as element of financial audit SAS 99 & IAS 240 Sarbanes-Oxley Act 2002

Background Recommended SAS 99 tests: Non-standard journal entries Entries posted by unauthorized individuals or individuals who while authorized do not normally post journal entries Unusual account combinations Round number Entries posted after the period-end Differences from previous activity Random sampling of journal entries for further testing

Background JE data mining literature = 0 Audit firms are doing JE data analysis with IDEA/ACL/Excel/Access [Frequency & depth?] Challenge: JEs = Too much evidence Atomic level JEs Jumbo JEs Potential for massive false positives RQ1: RQ1: What is the potential of JE data mining? RQ2: RQ2: What are the general characteristics of a JE data set? (e.g., Does Benford’s Law apply?)

JE Data Mining Questions What are the sources of the JEs? How do those sources influence data mining? For the particular enterprise? Are there unusual patterns in the JEs between classes of accounts? Does the class of JE influence the nature of the JE? For example, do adjusting JEs carry a greater probability of fraud? Is there evidence of unusual patterns in the amount of the JEs either from the left most digits (Benford’s Law) or from the right most digits (Hartigan and Hartigan’s dip test)? How can we triangulate and combine these various possible drivers of fraud in the JEs to allow directed data mining?

The Data

Journal Entry Dataset 36 real organizations—only names changed 29 organizations = Balanced JEs for 12 months Variety of… Size Industries Mix of public, private, not-for-profit Good news/bad news: JEs are messy real-world JEs (e.g., compound JE where a specific debit has no relationship to specific credit)

JE Dataset Preparation Created master (standardized) chart of accounts w/ 5-4 structure 1,672 accounts in the master Chart of Accounts, with 343 primary (five digits) accounts Converted existing chart of accounts to master chart of accounts 496,182 line items converted

Active Accounts in Organizational Chart of Accounts Minimum43 Maximum Active Accounts1036 Median Active Accounts107 Average Active Accounts164

Transactions Per Five Digit Accounts Minimum1 Maximum44,916 Median86 Mean1,401 Standard Deviation4,784

Expected Digit Distribution under Benford’s Law DigitProbabilityDigitProbability 130.1%66.7% 217.6%75.8% 312.5%85.1% 49.7%94.6% 57.9%

Benford’s Law Results The distributions for all 29 organization was statistically different than expected distribution Now what? Auditor: Investigate why certain numbers are occurring more frequently. (e.g., storage units rent for $100, $200, or $300) Researcher: Investigate if JEs violate one or more underlying Benford’s Law assumptions.

Last (Right-most) Digits Should be random (uniform) distributions with the same number of 0's, 1's, etc. However, even the 4 th digit left of the decimal point did not have uniform distributions 8 organizations had at least one number that appeared 3 times the expected distribution Looking at the 3 last digits (to the left of the decimal point) For 4 organizations, the top-5 most frequent combinations appears in 30% to 60% of the lines vs. the expected 0.5%

Unusual Temporal Patterns Most common forms of financial fraud center on revenue recognition Red flag = unusual activity at quarter end and/or year end But first must determine normal activity 2 of 29 organizations had highest volume in last month 1 of 29 organizations had highest average dollar values in last month

Unusual Temporal Patterns

Conclusions The real world is messy. For all 29 entities, the Chi-square distribution indicates that the first digits of journal dollar amounts differs from that expected by Benford's Law. Why? 8 of the 29 entities had one of the fourth digits being three times more than expected. Why?

Conclusions Regarding the distribution of last 3 digits… 4 entities had a very high occurrences of the top-five three-digit combination involving only a small set of accounts, 1 had a low occurrences of the top-five three-digit combination involving a large set of accounts, and 24 had a low occurrences of the top-five three-digit combination involving a small set of accounts All else being equal, the first 4 firms probably pose the highest risk of fraud

Future Apply many more data mining techniques to discover other patterns and relationships in the data sets. Seed the dataset with fraud indicators (e.g., pairs of accounts that would not be expected in a journal entry) and compare the sensitivity of the different data mining techniques to find these seeded indicators Leverage the Matrix relationships of Journal Entries systematically