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Application of Beneish M-Score Models and Data Mining to Detect Financial Fraud

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This study aims to analyze the ability of m-score Beneish in detecting financial fraud. This research data refer to companies that commit fraud according to the fraud Database of Sanctions of Issuer Cases Public Companies that was released by the Financial Services Authority in the period of 2001-2014. The results showed that overall Beneish m-score model was capable to detect financial fraud. Gross margin index, depreciation index, index of sales and general administrative burden and total accruals were all significant in detecting financial fraud. Sales index, asset quality index, and leverage index was statistically not significant in detecting financial fraud.
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Procedia - Social and Behavioral Sciences 211 ( 2015 ) 924 – 930
Available online at www.sciencedirect.com
1877-0428 © 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the Organizing Committee of the 2nd GCBSS-2015
doi: 10.1016/j.sbspro.2015.11.122
ScienceDirect
2nd Global Conference on Business and Social Science-2015, GCBSS-2015, 17-18 September
2015, Bali, Indonesia
Application of Beneish M-Score Models and Data Mining to Detect
Financial Fraud
Tarjoa
*
, Nurul Herawatib
a,b University of Trunojoyo Madura, Raya Telang Street PO BOX 2, Bangkalan Madura 60192 - Indonesia
Abstract
This study aims to analyze the ability of m-score Beneish in detecting financial fraud. This research data refer to companies that
commit fraud according to the fraud Database of Sanctions of Issuer Cases Public Companies that was released by the Financial
Services Authority in the period of 2001-2014. The results showed that overall Beneish m-score model was capable to detect
financial fraud. Gross margin index, depreciation index, index of sales and general administrative burden and total accruals were
all significant in detecting financial fraud. Sales index, asset quality index, and leverage index was statistically not significant in
detecting financial fraud.
© 2015 The Authors. Published by Elsevier Ltd.
Peer-review under responsibility of the Organizing Committee of the 2nd GCBSS-2015.
Keywords: Ability; Detecting; financial; fraud, Beneish M-Score
1. Introduction
Based on research conducted by the Association of Certified Fraud Examiners (ACFE) in 2014, the most
disadvantage fraud in a row is statement of financial fraud by 73%, corruption by 18%, and asset misappropriation by
9%. Therefore, it can be stated that there are three (3) types of fraud. The financial statement fraud is the most harmful.
Various studies to detect financial fraud have often been committed by researchers with fraud triangle analysis. In
the last few years, some researchers have been using Beneish m-score model (Beneish, 1999, 2012), Dimitriois (2014),
data mining (Zaki & Theodoulidis, 2013), Ata & Seyrek (2009) on this problem.
* Corresponding author. Tel.: +6287853035508
E-mail address: tarjo@trunojoyo.ac.id
© 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the Organizing Committee of the 2nd GCBSS-2015
925
Tarjo and Nurul Herawati / Procedia - Social and Behavioral Sciences 211 ( 2015 ) 924 – 930
Research to detect financial fraud has been conducted by some researchers using financial ratios approach, data
mining, and Beneish m-score model, but the method has drawbacks. First, there is a misclassification. Second,
mistakes in data mining may lead to misclassification, this is due to the fact that different industries have different
financial reporting requirements. Therefore, the research problem is “can the application of m-score model detect
financial fraud?”
The results of this study will be very helpful for auditors in conducting audit anyone with an interest in company's
financial statements. M-score models and data mining can be used as an early indication (red flags) for detecting
financial fraud.
2. Detecting Financial Fraud
According to the ACFE (2014), financial statement fraud is a deliberate fraud performed by a manager or employee
with no reports on actual financial statement information, for example, fictitious revenues, too low expen ses report,
and so forth. In financial reporting context, an audit is designed to provide assurance to interested parties that the
company's financial statements are not influenced by a material misstatement and gives adequate confidence to the
management accountability of the assets (Koroy, 2008). Public companies and private sector have an opportunity for
profit manipulation. Tarjo (2008; 2010) confirms that the go public company, especially the manufacturing industry,
can manipulate profits. While Pradana, Tarjo & Kompyurini (2013) show that there are various factors which can be
used to detect fraud in the public sector organizations.
Who are in charge to perform financial fraud detection? Alleyne & Howard (2005) explores perceptions of auditors
and users that it is auditor's responsibility to uncover fraud, performance-related audit procedures, the nature and
extent of fraud in Barbados, as well as auditor’s response since Enron’s case came to light. The research findings of
Alleyne & Howard (2005) show that there has been a big gap in expectations auditors perceive fraud detection as the
responsibility of management, while users and management do not agree on this. Some research suggests that
prevention and detection of fraud is management responsibilities, such as Beasley (1996) finding that companies with
no fraud has board members from outside the company with a greater percentage than from inside the company. On
the other hand, subsequent studies showed that auditors are the subject of analysis of studies on fraud detection (such
as Owusu-Ansah, Moyes & Oyelere, 2002; Running (2009); Bishop 2004; Hutomo (2012); Mariana (2014); Rustiarini
& Novitasari, 2014; Gamar, & Djamhuri 2015; Lisic, Silveri, Song & Wang, 2015). The role and demographic factors
of auditors have become the subject in research on the detection of fraud.
How can we detect financial fraud? It has been a lot of research on fraud detection. The results of investigations by
Bishop (2004) to 450 companies, which are victims of fraud in 2004 years since the ACFE report, on how fraud was
initially detected, indicate that there are several ways of doing so, such as internal audit, tip form employees, by
accident, internal control, external audit, tip from customers, tip from vendors, anonymous tip, and notified by police.
Bishop (2004) states that fraud was most frequently detected by internal audit (23.8%) while the information of
workers is the second most common detection method (23.6%). However, if all categories of information (employees,
vendors, consumers, and anonymous) are combined, it becomes far and the most common detection method, 39.6%.
These results indicate that the facilities / services to report violations provide the opportunity and encouragement to
report the potential violation.
Other studies on reliability of financial ratios in detecting financial fraud are by Persons (1999); Spathis (2002);
Kaminski, Wetzel & Guan (2004). Owusu-Ansah, Moyes & Oyelere (2002) does a study on fraud detection through
effectiveness of audit procedures. The detection of fraud through control is conducted by Alleyne & Howard (2005);
Bierstaker, Brody & Pacini (2006); Gottschalk (2011); Akbar, Tarjo & Carolina (2012) & Kummer, Sing & Best
(2015). There are also financial fraud detection model approaches, such as by Spathis (2002), developing reliable
models in the detection of False Financial Statements or FFS for the Greek company with ten financial variables
chosen for testing as a predictor of potential FFS. Skousen & Twedt (2009) use a fraud score model, as determined
by Dechow, to determine the possibility of manipulation on financial reports and found that the F-Score is an indicator
of the risk of fraud, but not a direct signal that there is no fraud. Glancy & Yadav (2011) proposed fraud detection
computational models / CFDM to detect fraud in financial reporting. CFDM uses a quantitative approach on textual
data.
926 Tarjo and Nurul Herawati / Procedia - Social and Behavioral Sciences 211 ( 2015 ) 924 – 930
In its development, data mining can be used to detect financial fraud of companies. According to Turban, Aronson
& Liang (2005), data mining is a semi-automatic process that uses statistical techniques, mathematics, artificial
intelligence, and machine learning to extract and identify potential knowledge and useful information stored in a large
database. There are several definitions of data mining.
3. Research Methodology
3.1 Data
This research data was company’s fraud financial statements issued by the Capital Market Supervisory Agency or
Services Authority Finance (FSA) in the period of 2001-2014. For comparison, the financial data of companies that
committed no fraud of the period of the year and of the same industries was used.
3.2 Beneish M-Score
Beneish M-Score is a method that can be used to detect companies with a tendency to commit fraud on their
financial statements (Beneish, 2012). Empirically, companies with higher M-Score have higher tendency to commit
fraud. Beneish M-Score is a probabilistic model, so that one of the limitations is that the ability to detect fraud is not
with 100% accuracy. The formula of Beneish M-Score is as follows:
M = -4.840 + 0,920XDSRI + 0,528XGMI + 0,0404XAQI + 0,892XSGI + 0,115XDEPI-0,172XSGAI + 4,679X \
TATA- 0,327XLVGI
If the M-score> -2.22, it shows indications of financial fraud within companies.
3.3 Data Mining
Beneish Model M-Score is used for data mining of fraud-committed companies. According to Turban et al. (2005),
data mining is the semi-automatic process that uses statistical techniques, mathematics, artificial intelligence, and
machine learning to extract and identify potential knowledge and useful information stored in a large database. Data
mining technique used in this research is Logit Regression. Data mining begins with testing the Principle Component
Analysis (PCA) to variable of Beneish M-Score model. PCA is used to determine what variables of M-Score Beneish
model that is predictive of financial fraud. The Logit Regression model of this study are:
FRAUD = β0 + β1DSRI + β2GMI + β3AQI + β4SGI + β5DEPI + β6SGAI + β7TATA + β8LVGI + εi
Where:
FRAUD= Dummy Variable (1 for fraud-committed companies and 0 for non-fraud-committed companies)
DSRI = Sales Index
GMI = Gross Margin Index
AQI = Asset Quality Index
SGI = Sales Growth Index
DEPI = Depreciation Index
SGAI = Sales and General Administration Expenses Index
TATA = Total Accrual
LVGI = Leverage Index
εi = Residual
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Tarjo and Nurul Herawati / Procedia - Social and Behavioral Sciences 211 ( 2015 ) 924 – 930
4. Research Result
This research data was company’s fraud financial statements issued by the Capital Market Supervisory Agency or
Services Authority Finance (FSA) in the period of 2001-2014. After tabulation, we obtained 35 companies that
committed fraud. For comparison, 35 companies that did not commit fraud were selected based on the equality of
assets and same category of industry. Table 1 below is descriptive statistics of the Beneish M-Score.
Tabel 1. Descriptive Statistics
Variable
Minimum
Maximum
Mean
Std. Deviation
Non Fraud
Fraud
Non Fraud
Fraud
Non Fraud
Fraud
Non Fraud
DSRI
.103
15.845
3.036
1.367
1.111
2.576
.470
GMI
-18.928
48.335
26.811
.601
.902
16.349
6.517
AQI
.027
14.432
4.478
1.533
1.035
2.445
.819
SGI
.515
4.286
11.431
1.249
1.379
.722
1.771
DEPI
.002
1.732
1.434
-21.281
.923
123.117
.232
SGAI
.079
5.570
1.595
1.071
1.070
.834
.287
LVGI
.100
12.737
1242.494
1.376
36.453
2.004
209.854
TATA
-.975
.544
.568
-.365
.003
1.018
.270
TOTAL
-21.360
270.288
465.848
10.660
12.313
45.871
79.066
Table 1 shows that DSRI value for companies committing fraud had the lowest value of 0.000, the highest of
15.845, and the average value of 1.367, and a standard deviation of 2.576. While the non-fraud companies had a lowest
value of 0.103, the highest of 3.036, the average value of 1.111 with a standard deviation of 0.470.
Table 1 also shows that GMI value for companies committing fraud had the lowest value of -81.180, the highest
of 48.335, the average value of 0.601, and a standard deviation of 16.349. While the non-fraud companies had the
lowest value of -18.928, the highest of 26.811, the average of 0.902 with a standard deviation of 6.517.
The test results also showed that DEPI for companies committing fraud had the lowest value of -728.537, the
highest of 1.732, the average of -21.281, and a standard deviation of 123.117. While the non-fraud companies had a
lowest value low of 0.002, the highest of 1.434, the average value of 0.923, and a standard deviation of 0.232.
The next step was to test the Principle Component Analysis (PCA) to variables of Beneish M-Score model. Based
on the Principle Component Analysis (attachment 1), the SGI component was not used for explanatory factor because
it had a negative value, so the variables on Beneish M-Score Model used to detect fraud were DSRI (Sales Index),
GMI (Gross Margin Index), AQI (Asset Quality Index), DEPI (Depreciation Index), SGAI (Sales and General
Administration Expenses Index), TATA (Total Accrual), and LVGI (Leverage Index).
In assessing the suitability of this research model, we used the statistic value of Chi-Square Homer and Lemeshow
Goodness of Fit. Based on logistic regression test, as in Table 3, the value of Chi-Square Hosmer and Lemeshow
Goodness of Fit was 5.459 with a significance value of 0.708 (sig> 0.05), this means that the model developed fit the
data used in this study. Therefore, it can be said that the binary models in this study is acceptable and feasible to be
used on further analysis.
Test on the overall model (overall model fit) is determined based on the value of -2 Log Likehood. Based on tests
carried out, the initial value of -2 Log Likehood (Block Number: 0) was 97.041, while the final value of -2 Log
Lihehood (Block Number: 1) was 60.193. These tests showed a decrease in the value of Log Likehood as much as to
36.848, therefore it can be stated that these figures illustrate the suitability of the model used in this study. Nagelkerke
R Square value was 0.546. It shows that the variability of the fraud data can be explained by the independent
variable by 54.6%, while the rest was explained by other variables not used in this study.
928 Tarjo and Nurul Herawati / Procedia - Social and Behavioral Sciences 211 ( 2015 ) 924 – 930
Table 2. Logistic Regression Test Results
Variable
Coefficients
Wald
Sig.
DSRI
0,614
1,945
0,163
GMI
0,984
4,141
0,042
*
AQI
0,830
2,521
0,112
DEPI
-1,254
3,266
0,071
**
SGAI
-3,420
5,333
0,021
*
LVGI
-0,029
1,716
0,190
TATA
-2,592
5,582
0,075
**
Constant
1,356
1,278
Chi-Square (Hosmer and Lemeshow Test)
5,459
0,708
-2 Likelihood (Block Number: 0)
97,041
-2 Likelihood (Block Number: 1)
60,193
Omnibus Test of Model Coefficients
36,848
0,000
Nagelkerke R Square
0,546
Overall Percentage
78,6%
Where:
* : Significant level 5%
** : Significant level 10%
The data used in the study were 35 companies that committed fraud and 35 non-fraud companies. Based on data
mining test using regression logistic, classification accuracy to detect fraud was 77.1% (27 of 35 companies that
committed fraud). From the 35 non-fraud companies, as many as 28 (80%) were accurately classified as not
committing fraud. However, the interesting finding in this study is that from the 35 companies categorized as non-
fraud, it turned out that 7 of them were then classified as committing fraud.
Table 2 shows that GMI (Gross Margin Index), DEPI (Depreciation Index), SGAI (Sales and General
Administration Expenses Index) and TATA (Total Accrual) influence the detection of financial fraud. This shows that
the GMI, DEPI, SGAI, and TATA can be used to detect financial fraud. DSRI (Sales Index), AQI (Asset Quality
Index), and LVGI (Leverage Index) statistically have no significant effect on the detection of financial fraud. This
shows that DSRI, AQI, and LVGI are not able to detect financial fraud.
5. Conclusion
From the discussion, Beneish M-Score model can be used to detect financial fraud. The better the prospects of the
company, the better it can be used to detect financial fraud. On the other hand, depreciation, cost of sales, and
discretionary accrual on accounting policy may reduce the ability to detect financial fraud. Indication of recognition
on increasing revenue and profit, suspension on cost of the asset, as well as the amount of debt to creditors cannot be
used for detecting financial fraud.
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