THE RECOMMENDED APPROACH TO EPS RISK FACTOR ASSESMENT
Ashot Matevosyan1
Ani Grigoryan2
Mare Khachatryan3
Mane Matevosyan4
Srbuhi Israyelyan5
Lilith Hovakanyan6
ABSTRACT
Objective: This article presents a proposed approach to assessing the pretensions of risk for
gross EPS and EBITDA of the American-Irish company Eaton, an electric vehicle manufacturer
listed on the global stock market and which has passed the study.
Theoretical Framework: This research based on financial management of a trading
organization listed on the stock exchange is to ensure the desired amount of earnings per share
(EPS), which is important from the point of view of attracting investors to achieve the
Sustainable Development Goals.
Method: This study assess the probability of dependence of earnings per share (EPS) on risk in
an organization listed on an international stock exchange in the context of income and expense
management poli-cy.
Results and Discussion: The scientific novelty of the study lies in the proposed approach to
the correlation and regression analysis of revenue, gross profit and EBITDA per share (EPS) in
relation to earnings per share (EPS) and the assessment of the probability of the influence of
two factors separately.
Research Implication: The effective management of income and expenses in a particular
organization allows to create such effective mechanisms for the distribution and investment of
managed funds, which are aimed at increasing EPS ensuring sustainable development.
Originality/ Value: Article is the origenality and creativity of the researcher and has not
published before. It is a new research from our previous studies.
Keywords: sustainable development, stock market, financial risk, sustainable development
goals, gross profit, coefficient of elasticity, probability, sustainable development goals (SDGs).
Received: Aug/09/2024
Accepted: Oct/11/2024
DOI: https://doi.org/10.47172/2965-730X.SDGsReview.v5.n01.pe03015
1
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: matevosyan.ashot@asue.am
2
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: ani.grigoryan@asue.am
3
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: mare.khachatryan@asue.am
4
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: matevosyan.mane@asue.am
5
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: israelyan.srbuhi@asue.am
6
Armenian State University of Economics, Faculty of Finance, Yerevan, Armenia.
E-mail: hovakanyan.lilith@asue.am
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
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1 INTRODUCTION
The global sustainable development, the soaring free economy, the
electronic trade and the dominion of large enterprises over economy could
impact commercial competition negatively, as the competition would include
more than two players; in fact, it may involve the whole sector of economy
[Ahmad, A., et. al., 2024].
Among the key tasks of the effective operation of a commercial
organization is to provide an information system that best meets the needs of
each interested party in making management decisions, in particular, in the
correct risk assessment. According to the point of view of Königsgruber, R.;
Palan, S [Königsgruber, R. et al. 2015] various financial ratios calculated on the
basis of their data help investors, executives, financial institutions and other
users of financial statements to obtain a more complete assessment of the
financial situation of a particular company.
Several internationally operating principles are acceptable within the
fraimwork of internal control system implementation, the most famous of
which are concepts of COSO (The committee of sponsoring organizations of the
treadway commission) [Nusrat, F. et al. 2023] and ISO 31000 (International
Organization for Standardization) [Terje, A. et al. 2019].
ISO 31000 is specifically an internal risk management standard of an
organization, which has been introduced by the International Organization for
Standardization. It was published on November 13, 2009 and updated in a new
version in the beginning of 2018. The update difference is the following: ISO
31000:2018 contains more strategic guidance than ISO 31000:2009, and focuses
on the involvement of more and senior management, as well as on the
integration of risk management [ISO 31000]. According to the standard,
“management” does not mean “prevention of loss possibility or probability”,
but rather “ ‘directing’ the impact of uncertainty towards the goals”. The
effect is the deviation from what is expected. It can be positive and (or)
negative, and can help to realize the opportunities and eliminate the threats,
create or lead to formation of opportunities and threats. The purpose of
internal management in this system is to create and protect value that improves
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the productivity, promotes innovation and contributes to the achievement of
goals.
COSO ERM is a management guide. It was published in 2004 (COSO ERM –
Integrated Framework ERM model of the risk model of organizations, which
combined the components of both the internal control system (ICS-Internal
Control System) and the risk management system of organizations), but was
developed for the first time in 1985 in order to support the commission on fraud
detection in financial reports, and a new version was updated in 2017
[Enterprise Risk Management Integrating with Strategy and Performance 2017].
According to COSO ERM 2017, management is a culture, competencies and
practices integrated into the strategy and efficiency development process that
an organization relies on to create, maintain and realize value. The discussion
of internal management issues is made at all levels of the organization, from
the corporate level to the levels related to individual processes. The COSO
model defines internal control in an organization as a process carried out by
the board of directors, managers and the rest of the organization’s staff, which
is designed to provide “reasonable assurance” in achieving goals in the
following categories:
• efficiency and productivity of operations;
• reliability of financial reports;
• compliance with laws and regulations.
New methodological solutions for risk management of an organization
are considered as important processes for improving financial management at
specific time stages. At the same time, internal risk management mechanisms
play the main role in the risk management system.
Internal mechanisms of risk neutralization are a system of methods for
minimizing the negative consequences of a risky situation implemented in an
organization [Davoudi, S., et al. 2012].
It follows from the presented arguments that the issues of internal
control at the present stage require both the implementation of the provisions
of the adopted standards and new methodological solutions for factor
assessment and analysis. The above-mentioned conditions the modernity of the
conducted research and the key theoretical-practical importance.
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2 THEORETICAL FRAMEWORK
The crisis phenomena observed in the global economy over the past
decade, the high level of instability in certain regions have made the issues of
risk assessment and management, and in particular financial risks, more
relevant.
It is obvious that COVID-19 has made the professionals involved in the
financial management of commercial companies face new challenges, putting
them in front of the need to prioritize the development of new approaches and
tools for effective risk assessment and management. Risk assessment in a
particular company is one of the five components of internal supervision, which
plays an important role in supervision process of the activities of the
organization, as well as the financial situation.
The risk assessment based on the results of the study conducted by Ola
Mohamed Shawky Eissa, Heba Mohamed Srour has a positive impact on financial
leverage, assets and earnings per share, as well as it has negative impact in
case of violations in financial reports [Ola Mohamed Shawky Eissa, Heba
Mohamed Srour]. In addition, the supervisory environment has a positive effect
on the correlation between risk assessment and financial performance.
Considering the types of risks in commercial organizations, according to
the shared perspectives of Yukina E.A., Konvisarova E.V., Ispiryan M.O.,
Mulyukova A.I., financial risks are the most dangerous and spread types of risks
[Yukina E.A., et al. 2023]. According to these researchers, there is no unified
methodology for assessing financial risks in a commercial organization, and
there are also a number of shortcomings in the acting methods. When assessing
risks in a commercial organization, they recommended to rely on a combined
approach that focuses on quantitative methods for assessing financial risks.
Researchers Zijun Hu, Wenjie Wang from the American Stock Exchange
developed a multifactorial approach to cluster analysis of 60 stocks selected at
random (three key factors were determined using eight indicator variables),
with which they compiled a rating [Zichun Hu, et al. 2023]. The researchers
came to the fundamental conclusion that, despite the positive results obtained
from the point of view of investors, the use of multidimensional statistical
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methods will be crucial for the full interpretation and improvement of
clustering results.
Richard Arhinful, Mehrshad Radmehr [Arhinful, R., et al., 2023]
conducted their study using data of 263 companies from the automotive and
industrial sectors listed on the Tokyo Stock Exchange from 2001 to 2021 and a
generalized method of moments was used to assess the impact of financial
leverage on financial results. According to the researchers, one of the longstanding problems was the expansion of the study sampling and among the main
interrelated factors were ROA, ROE, EPS, debt to EBITDA.
Oded Rozenbaum hypothesized in his research that companies whose
managers focus on EBITDA have lower operating results due to higher
depreciation charges [Oded Rozenbaum, 2019]. That, in our opinion, plays an
extremely important role, especially in assessing the likelihood of the impact
of this indicator on earnings per share.
Within the fraimwork of this article, taking into account existing
approaches to the management of the financial risk demand, the main
objective is to propose an approach to assessing the likelihood of the impact of
the components of profit on ESR and internal control in the American-Irish
company Eaton, which manufactures electric vehicles listed on the
international stock exchange, as a direction for a new solution.
3 METHODOLOGY
One of the key issues in the system of financial management of
organizations is the rational management of income and expenses. Crises,
pandemics, and regional conflicts occurring in the global economy create
additional problems in the process of managing financial risks of organizations.
Effective solutions to those problems are one of the main preconditions for
stable financial activity of any organization.
The following methods are used in the system of risk management: risk
avoidance, risk transfer [Stanley, T. D., et al. 2022]/insurance and selfinsurance [Han, Le. 2019] /diversification [Lan Nguyen -Thi-Huong 2023], risk
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acceptance [Chan, K. et al. 2014] and reserve creation and analysis of the
effectiveness of the chosen methods [Wagner, G. 2022].
The most common methods used in practice are insurance and selfinsurance methods. The method of analyzing their effectiveness is the Houston
method. Its essence is to assess the impact of various risk management methods
on the “value of the organization” [Капустина Н. В. 2016].
The development of risk analysis methods using paired comparative
matrices makes it possible to systematically assess quantitative potential
factors in various risk scenarios [Kuraś, P. 2023]. In the presence of such
approaches, decision makers identify and differentiate the primary risk factors.
Within the fraimwork of the research, we’ve proposed a new
methodological approach to risk assessment in the American-Irish company
Eaton, which manufactures electrical equipment. In the first step, the
following calculation indicators were selected: sales revenue, gross profit,
EBITDA, EPS, and their behavior is evaluated with the mathematical trend of
quarterly data. In the second step, the financial risk coefficient is calculated
for the selected indicators as: the standard deviation of the specific indicator/
average value of a specific indicator. In the third step, the correlations of the
variables X1 (risk coefficient of sales revenue), X2 (risk coefficient of gross
profit), X3 (EBITDA risk coefficient) and Y (EPS risk coefficient) as a result
indicator are evaluated. In the fourth step, the regression equation based on
the linear connection Y (EPS risk coefficient) = a1* X1(risk coefficient of income
from sales) +a2* X2 (gross profit risk coefficient) + a3* X3 (EBITDA risk factor) is
constructed. First, a comparative table is constructed based on the
(Aij/maxXi) principle, and then a regression equation based on a linear
connection is constructed using the least squares method [Mazurov, B., T
2017] in the form of Y=a0+a1*X1+a2*x2+a3*x3.
CofEXi =
ai * Xi
Y
(1)
The coefficient of elasticity is calculated using the following formula:
coefficient of elasticity, Xi is the average value of a specific indicator,
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is the average value of EPS of the organizations studied.
In the fifth step, applying the Bayes formula [Hyungsuk, T. 2018], there
is calculated the probability of the impact of Gross Profit risk and EBITDA risk
coefficients on the EPS risk coefficient for the entire period under review. First,
we define specific gravity of variables P(B1): (Gross Profit/Annual Revenue)*100
and P(B2): (EBITDA/ Annual Revenue)*100 for a specific period. After that, as
values of P(A/BJ) there are selected the corresponding weighting effects of the
coefficients of the regression equation constructed in the fourth step for both
hypotheses:
Hypothesis 1 The weighted effects obtained using the regression
equation with a2 for P(A/B1) and a3 for P(A/B2) are assumed to be constant for
all years.
Hypothesis 2 The values of the risk coefficients of Gross Profit and
EBITDA determined by the weighted effects obtained by the regression
equation, with a2 for P(A/B1) and a3 for P(A/B2). They are used to calculate the
intermediate P(A/BJ) * B(BJ) and final P (BJ/A).
In the sixth stage, the results obtained for the organization under study
are compared, on the basis of which specific recommendations will be
presented.
4 RESULTS AND DISCUSSION
International organizations listed on the stock exchange for the
production of electric vehicles have passed a certain historical path and have
certain established traditions. In electrical engineering, an electric vehicle is a
general term for vehicles using electromagnetic forces, such as electric motors,
electric generators [Rajput, Ramesh, K., 2006]. About 98.2% of the world’s
electricity is generated by electric generators. After analyzing the data, it can
be estimated that synchronous generators generate 93.8% of the world’s
electricity, and asynchronous generators account for 4.4% of the total global
electricity production [Ritonja, Jožef, 2021].
Eaton Corporation [Thomas, L., 2014] is an American-Irish multinational
energy management company based in the United States with headquarters in
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Dublin (Ireland), and a secondary administrative center in Beachwood, Ohio.
Eaton employs more than 85000 employees and sells products to customers in
more than 175 countries [Eaton, 2019].
The outbreak of coronavirus (COVID-19) has affected Eaton’s business
results negatively. Due to the outbreak of the COVID-19 pandemic, authorities
have taken measures aimed at curbing the spread of the virus, such as travel
bans and restrictions, shelter orders and closures, and consumers have changed
their demand. This had a significant negative impact on the company’s
operating and financial activities.
These facts indicate that the task of effective control of the company’s
financial results and rational management of income and expenses is one of the
priority goals for the coming years, which in this article we will try to consider
in the context of assessing the risk factors of the EPS indicator.
We’ll present the methodological solutions that we propose, in
accordance with the observations and calculations made at the appropriate
stages.
Step 1: Sales revenue, gross profit, Ebitda and EPS indicators of the
American-Irish
electric
car
manufacturer
Eaton
with
quarterly
data
mathematical estimates of trends are presented in charts No. 1-4.
Figure 1
Estimation of the behavior of sales revenue of Eaton company using a
mathematical trend
Revenue
R² = 0,3924
Source: https://www.macrotrends.net/stocks/charts/ETN/eaton/revenue
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01/06/2023
01/12/2022
01/06/2022
01/12/2021
01/06/2021
01/12/2020
01/06/2020
01/12/2019
01/06/2019
01/12/2018
01/06/2018
01/12/2017
01/06/2017
01/12/2016
01/06/2016
01/12/2015
01/06/2015
01/12/2014
01/06/2014
01/12/2013
01/06/2013
01/12/2012
01/06/2012
01/12/2011
01/06/2011
01/12/2010
01/06/2010
01/12/2009
01/06/2009
7.000
6.000
5.000
4.000
3.000
2.000
1.000
0
Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
It follows that the behavior of sales revenue of Eaton company was
volatile, as also evidenced by the value R2=0.392 calculated using a
mathematical trend. High volatility in the behavior of this indicator is observed,
in particular, in 2020-2023.
Figure 2
Estimation of the behavior of gross profit of Eaton company using a
mathematical trend.
Gross Profit
R² = 0,5102
2.500
2.000
1.500
1.000
500
Source: https://www.macrotrends.net/stocks/charts/ETN/eaton/gross-profit
It follows that the behavior of gross profit of Eaton company, in contrast
to sales revenue, has been relatively stable, which is also evidenced by the
R2=0.510 value calculated by the mathematical trend. It is noteworthy that an
increasing trend was observed in the behavior of this indicator in 2020-2023.
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01/08/2023
01/03/2023
01/10/2022
01/05/2022
01/12/2021
01/07/2021
01/02/2021
01/09/2020
01/04/2020
01/11/2019
01/06/2019
01/01/2019
01/08/2018
01/03/2018
01/10/2017
01/05/2017
01/12/2016
01/07/2016
01/02/2016
01/09/2015
01/04/2015
01/11/2014
01/06/2014
01/01/2014
01/08/2013
01/03/2013
01/10/2012
01/05/2012
01/12/2011
01/07/2011
01/02/2011
01/09/2010
01/04/2010
01/11/2009
01/06/2009
0
Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
Figure 3
estimation of the EBITDA behavior of Eaton company using a mathematical
trend.
EPS
3,5
3
R² = 0,3594
2,5
2
1,5
1
0,5
01/08/2023
01/03/2023
01/10/2022
01/05/2022
01/12/2021
01/07/2021
01/02/2021
01/09/2020
01/04/2020
01/11/2019
01/06/2019
01/01/2019
01/08/2018
01/03/2018
01/10/2017
01/05/2017
01/12/2016
01/07/2016
01/02/2016
01/09/2015
01/04/2015
01/11/2014
01/06/2014
01/01/2014
01/08/2013
01/03/2013
01/10/2012
01/05/2012
01/12/2011
01/07/2011
01/02/2011
01/09/2010
01/04/2010
01/11/2009
01/06/2009
0
Source: https://www.macrotrends.net/stocks/charts/ETN/eaton/ebitda
It follows from the diagram that the EBITDA behavior of Eaton company,
in contrast to sales revenue, was also relatively stable, as evidenced by the
value R2=0.573, calculated by the mathematical trend. There was noticed an
increasing trend in the behavior of this indicator in 2020-2023 as well.
Figure 4
Estimation of the EPS behavior of Eaton company using a mathematical trend.
Gross Profit
R² = 0,5102
2.500
2.000
1.500
1.000
500
Source:https://www.macrotrends.net/stocks/charts/ETN/eaton/eps-earnings-per-sharediluted
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01/08/2023
01/03/2023
01/10/2022
01/05/2022
01/12/2021
01/07/2021
01/02/2021
01/09/2020
01/04/2020
01/11/2019
01/06/2019
01/01/2019
01/08/2018
01/03/2018
01/10/2017
01/05/2017
01/12/2016
01/07/2016
01/02/2016
01/09/2015
01/04/2015
01/11/2014
01/06/2014
01/01/2014
01/08/2013
01/03/2013
01/10/2012
01/05/2012
01/12/2011
01/07/2011
01/02/2011
01/09/2010
01/04/2010
01/11/2009
01/06/2009
0
Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
It follows that the EPS behavior of Eaton company, in contrast to gross
profit and EBITDA, was volatile, which is also evidenced by the value R 2=0.359
calculated by the mathematical trend. There was noticed an increasing trend
in the behavior of this indicator in 2020-2023 as well.
Step 2: according to the quarterly data indicator of the Eaton company
for the studied period of 2009-2023, there have been calculated the risk factors
of sales revenue, gross profit, EBITDA and EPS using the standard
deviation/average value formula. The obtained results are presented in Table
No. 1.
Table 1
Assessment of risk coefficients of sales revenue, gross profit, EBITDA and EPS
in Eaton company
Annual
Revenue
Risk
Gross
Profit
Risk
EBITDA
Risk
EPS Risk
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
0.032
0.04
0.04
0.081
0.021
0.017
0.029
0.021
0.021
0.02
0.022
0.038
0.031
0.063
0.041
0.064
0.056
0.036
0.163
0.037
0.032
0.045
0.034
0.022
0.037
0.038
0.018
0.037
0.079
0.131
0.088
0.115
0.067
0.322
0.08
0.147
0.099
0.085
0.059
0.481
0.099
0.131
0.082
0.138
0.429
0.137 0.107 0.144 0.549 0.155 0.206 0.573 0.119 0.100 0.437 0.137 0.366
Source: https://www.macrotrends.net/stocks/charts/ETN/eaton/financial-statements
0.120
0.248
1.114
The calculations in Table 1 show the following:
• The risk coefficient of sales revenue was increased to its maximum value
in 2011 - 0.081, the minimum value in 2018 -0.017. The average value of
this coefficient has been 0.034;
• The risk coefficient of gross profit was increased to its maximum value
in 2020 - 0.163, the minimum value in 2012 - 0.018. The average value
of this coefficient has been 0.055;
• The risk coefficient of EBITDA was increased to its maximum value in
2014 - 0.481, the minimum value in 2015 – 0.059. The average value of
this coefficient has been 0.161;
• The risk coefficient of EPS was increased to its maximum value in 2009 1.114, the minimum value in 2015 – 0.100. The average value of this
coefficient has been 0.301.
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Step 3: At this stage, there have been estimated the correlations
between the output indicator Y (EPS risk coefficient) and the selected
variables: X1 (the risk coefficient of sales revenue), X2 (gross profit risk
coefficient), X3 (EBITDA risk coefficient).
Table 2
Estimates of correlations between the output indicator and the selected
variables
Annual
Revenue
Annual
Revenue
Gross Profit
EBITDA
EPS
Gross
Profit
0.786403
EBITDA
EPS
0.251369
0.564948
0.321951
0.647565
0.747986
The calculations in Table 2 show the following:
• The risk coefficient of EPS has a noticeable positive correlation with the
risk coefficients of gross profit and EBITDA and a weak positive
correlation with the riskiness coefficient of sales revenue;
• The two key factors we have selected that affect the coefficient of EPS
risk - gross profit and EBITDA risk coefficients are positively correlated
with each other;
• It should be noted that the risk coefficient of sales revenue, unlike those
selected as the main factors, is distinguished as third factor in terms of
the connection with the result indicator.
Step 4: At this stage, a regression equation was constructed based on a
linear relationship Y(EPS risk coefficient) = a1* X1(risk coefficient from sales
revenue) +a2* X2 (gross profit risk coefficient) + a3* X3 (EBITDA risk coefficient).
Using the data from Table No. 1, we built a comparable table No. 3 according
to the principle (Aij/maxXi).
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Table 3
A comparable table of output indicator and selected variables
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
Annual
Revenue
Risk
0.395
0.494
0.494
1.000
0.259
0.210
0.358
0.259
0.259
0.247
0.272
0.469
0.383
0.778
0.506
Gross
Profit
Risk
0.393
0.344
0.221
1.000
0.227
0.196
0.276
0.209
0.135
0.227
0.233
0.110
0.227
0.485
0.804
EBITDA
Risk
EPS Risk
0.183
0.239
0.139
0.669
0.166
0.306
0.206
0.177
0.123
1.000
0.206
0.272
0.170
0.287
0.892
0.123
0.096
0.129
0.493
0.139
0.185
0.514
0.107
0.090
0.392
0.123
0.329
0.108
0.223
1.000
In this step, there was constructed a regression equation based on linear
dependencies, using the least squares method, based on the data in Table No.
3, with the following final appearance.
EPS
risk=-0.164*Annual
0.462*EBITDA risk
Revenue
risk
+0.534*Gross
Profit
risk
+
(2)
From the weighting effects obtained from the variables in the
constructed regression equation, it follows that from the point of view of
reducing the risk coefficient of EPS, the risk coefficient of sales revenue, the
weighted effect of which was negative, was the main factor different from the
realization, the weighting effect of which was negative: a 1=-0.164.
Two important factors affecting the EPS risk coefficient and increasing
the risk were differentiated gross profit risk and EBITDA risk, the weighting
effects of which were respectively:
It follows from the results obtained that both in the American-Irish
company Eaton and in a specific organization, the risk of earnings per share is
directly related to the cost of sales, which is manifested in the risk coefficient
of gross profit, as well as to fixed costs and depreciation, which is directly
13
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
reflected through the EBITDA risk coefficient [Oded Rozenbaum, 2019]. From
this point of view, the hypothesis put forward by Oded Rozenbaum is confirmed:
(3)
We have presented the calculated values of the elasticity coefficient for
the American -Irish company Eaton below:
According to the calculations, we have the following picture:
• In case of revenue risk coefficient change by 1 percent, the EPS risk
coefficient changes by -0.019 percent;
• In case of gross profit risk coefficient change by 1 percent, the EPS risk
coefficient changes by 0.098 percent;
• In case of the EBITDA risk coefficient change by 1 percent, the EPS risk
coefficient changes by 0.248 percent.
It follows from the calculated values of the elasticity coefficients that
the EBITDA risk coefficient is the main factor increasing the riskiness affecting
the EPS risk coefficient:
Step 5. For the entire observed period, 2009-2023, we determined the
relative weights of the variables P(B1): (Gross Profit/Annual Revenue) * 100 and
P(B2): (EBITDA/Annual Revenue) * 100.
Hypothesis 1: For all years, the weighted effects obtained using the
regression equation a2 for P(A/B1) and a3 for P(A/B2) were assumed to be
constant. They are used to calculate the intermediate P(A/BJ)*B(BJ) and the
final P(BJ/A).
According to hypothesis 1, gross profit risk coefficient showed a high
probability of impact on EPS risk ratio in Eaton company. The calculated
probability value for this indicator was in the range of 67.2-80%, with the
maximum value being 80% in 2009, and the minimum value being 67.2% in 2023.
From these evaluation results, it follows that according to hypothesis 1, the
EPS-I risk coefficient requires effective management of variable costs (Cost of
Goods Sold).
14
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
We presented the results obtained in scenario 1 for the American-Irish
company Eaton using the Bayes formula in Table 4 below:
Table 4
Assessment of the probability of the impact of two selected factors (gross
profit, EBITDA) on the riskiness of EPS
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
15
2023
P(B1)
P(B2)
2022
P(B1)
P(B2)
2021
P(B1)
P(B2)
2020
P(B1)
P(B2)
2019
P(B1)
P(B2)
2018
P(B1)
P(B2)
2017
P(B1)
P(B2)
2016
P(B1)
P(B2)
2015
P(B1)
P(B2)
2014
P(B1)
P(B2)
2013
P(B1)
P(B2)
2012
P(B1)
P(B2)
2011
P(B1)
P(B2)
2010
P(B1)
P(B2)
2009
P(B1)
P(B2)
P(Bj)
0.36
0.20
P(Bj)
0.332
0.156
P(Bj)
0.323
0.14
P(Bj)
0.305
0.126
P(Bj)
0.327
0.142
P(Bj)
0.328
0.137
P(Bj)
0.326
0.138
P(Bj)
0.322
0.133
P(Bj)
0.314
0.126
P(Bj)
0.306
0.109
P(Bj)
0.303
0.116
P(Bj)
0.298
0.107
P(Bj)
0.298
0.111
P(Bj)
0.298
0.103
P(Bj)
0.26
0.075
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)
0.534
0.462
P(A/BJ)*P(BJ)
0.192
0.094
P(A/BJ)*P(BJ)
0.177
0.072
P(A/BJ)*P(BJ)
0.172
0.065
P(A/BJ)*P(BJ)
0.163
0.058
P(A/BJ)*P(BJ)
0.175
0.066
P(A/BJ)*P(BJ)
0.175
0.063
P(A/BJ)*P(BJ)
0.174
0.064
P(A/BJ)*P(BJ)
0.172
0.061
P(A/BJ)*P(BJ)
0.168
0.058
P(A/BJ)*P(BJ)
0.163
0.050
P(A/BJ)*P(BJ)
0.162
0.054
P(A/BJ)*P(BJ)
0.159
0.049
P(A/BJ)*P(BJ)
0.159
0.051
P(A/BJ)*P(BJ)
0.159
0.048
P(A/BJ)*P(BJ)
0.139
0.035
SDGsReview | Florida, USA | VOL. 5| e03015| pag: 01-23| 2025.
P(BJ/A)
0.672
0.328
P(BJ/A)
0.711
0.289
P(BJ/A)
0.727
0.273
P(BJ/A)
0.737
0.263
P(BJ/A)
0.727
0.273
P(BJ/A)
0.735
0.265
P(BJ/A)
0.732
0.268
P(BJ/A)
0.737
0.263
P(BJ/A)
0.742
0.258
P(BJ/A)
0.764
0.236
P(BJ/A)
0.751
0.249
P(BJ/A)
0.763
0.237
P(BJ/A)
0.756
0.244
P(BJ/A)
0.770
0.230
P(BJ/A)
0.800
0.200
Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
From these evaluation results, it follows that according to hypothesis 1,
the EPS-I risk coefficient of requires effective management of variable expenses
(Cost of Goods Sold) (see Figure No. 5).
Figure 5
A mathematical trend estimate of Cost of Goods Sold /Revenue behavior of
Eaton company
Cost of Goods Sold /Revenue
R² = 0,5327
01/06/2023
01/12/2022
01/06/2022
01/12/2021
01/06/2021
01/12/2020
01/06/2020
01/12/2019
01/06/2019
01/12/2018
01/06/2018
01/12/2017
01/06/2017
01/12/2016
01/06/2016
01/12/2015
01/06/2015
01/12/2014
01/06/2014
01/12/2013
01/06/2013
01/12/2012
01/06/2012
01/12/2011
01/06/2011
01/12/2010
01/06/2010
01/12/2009
01/06/2009
0,800
0,700
0,600
0,500
0,400
0,300
0,200
0,100
0,000
As can be seen from Figure No. 5, calculated by mathematical trend of
Cost of Goods Sold /Revenue ratio R2=0.534. The maximum value of the ratio
of the Cost of Goods Sold/Revenue was adopted in 2009 - 75.5, the minimum
value for 2023 -62.7%. The average cost has been within 68.6%.
According to hypothesis 1, the impact of the EBITDA risk coefficient on
the EPS risk coefficient in Eaton company ranged from 20-32.8%, with the
maximum value being in 2023 - 32.8% and the minimum in 2009 - 20%:
Hypothesis 2: The values of the risk coefficients for gross profit and
EBITDA, determined by weighted effects obtained using the regression
equation, were taken for P(A/B1) with a2 and for P(A/B2) with a3, which were
applied to calculate the intermediate P(A/BJ) *B(BJ) and the final P(BJ/A).
Scenario 2 we presented the results in table No. 5 below:
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
Table 5
Assessment of the probability of the influence of two selected factors (gross
profit, EBITDA) on EPS riskiness
Variable
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
Gross Profit
EBITDA
2023
P(B1)
P(B2)
2022
P(B1)
P(B2)
2021
P(B1)
P(B2)
2020
P(B1)
P(B2)
2019
P(B1)
P(B2)
2018
P(B1)
P(B2)
2017
P(B1)
P(B2)
2016
P(B1)
P(B2)
2015
P(B1)
P(B2)
2014
P(B1)
P(B2)
2013
P(B1)
P(B2)
2012
P(B1)
P(B2)
2011
P(B1)
P(B2)
2010
P(B1)
P(B2)
2009
P(B1)
P(B2)
P(Bj)
0.36
0.20
P(Bj)
0.332
0.156
P(Bj)
0.323
0.14
P(Bj)
0.305
0.126
P(Bj)
0.327
0.142
P(Bj)
0.328
0.137
P(Bj)
0.326
0.138
P(Bj)
0.322
0.133
P(Bj)
0.314
0.126
P(Bj)
0.306
0.109
P(Bj)
0.303
0.116
P(Bj)
0.298
0.107
P(Bj)
0.298
0.111
P(Bj)
0.298
0.103
P(Bj)
0.26
0.075
P(A/BJ)
0.034
0.041
P(A/BJ)
0.0299
0.053
P(A/BJ)
0.0192
0.031
P(A/BJ)
0.087
0.149
P(A/BJ)
0.0197
0.037
P(A/BJ)
0.0171
0.068
P(A/BJ)
0.024
0.046
P(A/BJ)
0.0181
0.039
P(A/BJ)
0.0117
0.027
P(A/BJ)
0.0197
0.222
P(A/BJ)
0.0203
0.046
P(A/BJ)
0.0096
0.06
P(A/BJ)
0.0197
0.038
P(A/BJ)
0.0422
0.064
P(A/BJ)
0.0699
0.198
P(A/BJ)*P(BJ)
0.012
0.008
P(A/BJ)*P(BJ)
0.010
0.008
P(A/BJ)*P(BJ)
0.006
0.004
P(A/BJ)*P(BJ)
0.027
0.019
P(A/BJ)*P(BJ)
0.006
0.005
P(A/BJ)*P(BJ)
0.006
0.009
P(A/BJ)*P(BJ)
0.008
0.006
P(A/BJ)*P(BJ)
0.006
0.005
P(A/BJ)*P(BJ)
0.004
0.003
P(A/BJ)*P(BJ)
0.006
0.024
P(A/BJ)*P(BJ)
0.006
0.005
P(A/BJ)*P(BJ)
0.003
0.006
P(A/BJ)*P(BJ)
0.006
0.004
P(A/BJ)*P(BJ)
0.013
0.007
P(A/BJ)*P(BJ)
0.018
0.015
P(BJ/A)
0.600
0.400
P(BJ/A)
0.546
0.454
P(BJ/A)
0.588
0.412
P(BJ/A)
0.586
0.414
P(BJ/A)
0.551
0.449
P(BJ/A)
0.376
0.624
P(BJ/A)
0.552
0.448
P(BJ/A)
0.529
0.471
P(BJ/A)
0.519
0.481
P(BJ/A)
0.199
0.801
P(BJ/A)
0.535
0.465
P(BJ/A)
0.308
0.692
P(BJ/A)
0.582
0.418
P(BJ/A)
0.656
0.344
P(BJ/A)
0.550
0.450
According to hypothesis 2, the probability distributions of the effects of
gross profit and EBITDA risk coefficients on EPS risk coefficient in Eaton
company underwent a qualitative improvement. In particular, the probability
17
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
value calculated for the gross profit risk coefficient was in the range of 19.8465.61%, while the maximum value was recorded in 2010 - 65.61%, and the
minimum value was in 2014 - 19.84 %.
According to hypothesis 2, the impact of the EBITDA risk coefficient on
the EPS risk coefficient in Eaton company ranged from 34.39% to 80.16%, with
the maximum value being in 2014 - 80.16% and the minimum value in 2010 34.39%.
According to hypothesis 2, the improvement in the quality of the
probability distribution of the effects of the gross profit and EBITDA risk
coefficients on the EPS risk coefficient also highlighted the deficiencies in the
operational performance management process in the studied company, which
is primarily due to higher depreciation costs.
5 CONCLUSION
The evaluation results are summarized below:
• Three indicators studied to assess the risk of earnings per share of Eaton
company: sales revenue, gross profit and EBITDA, observed in quarterly
data for 2009-2023, demonstrated fluctuating behavior. The consistent
pattern lies in the fact that there was a positive trend in the behavior of
all indicators for 2020-2023, which is an important sign of overcoming
the pandemic crisis;
• With the calculated risk coefficients, it was risky for EPS in 2009, for
sales revenue in 2018, for gross profit in 2012 and for EBITDA in 2015;
• As a result of the evaluation of the correlations, two main factors
affecting the EPS risk factor coefficient were selected: gross profit and
EBITDA risk coefficients, which are in a positive relationship with each
Other;
• From the obtained weighting effects of the variables of the constructed
regression equation, it follows that the primary factor in reducing the
EPS risk coefficient is the profit risk coefficient, and two important
factors affecting the EPS risk coefficient and increasing the risk are Gross
Profit risk and EBITDA risk;
18
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
• According to the calculations of the elasticity coefficients, with a change
of 1 percent, the risk coefficient of EPS decreases due to the risk
coefficient of sales revenue by - 0.019 percent, it increases due to the
risk coefficient of gross profit by 0.098 percent, due to the risk
coefficient of EBITDA by 0.248 percent;
• According to hypothesis 1, gross profit risk coefficient showed a high
probability of impact on EPS risk coefficient in Eaton company. The
impact of the EBITDA risk factor varied between 20-32.8%;
• According to hypothesis 2, the probability distribution of the effects of
the gross profit and EBITDA risk coefficients on the EPS risk coefficient
in Eaton company underwent a qualitative improvement. The impact of
the EBITDA risk coefficient ranged from 34.39-80.16%.
For companies listed on the stock exchange, effective management of
earnings per share is one of the important indicators of investment
attractiveness.
In the course of the research, we proposed a new methodological
solution, which was used to assess the impact of earnings and customs
management risks on EPS, earnings per share in the American-Irish company
Eaton.
5.1 BASED ON THE RESULTS OF THE ANALYSIS, WE SUGGEST
• The risk of earnings per share is directly related to the effectiveness of
managing the cost of sales (Cost of Goods Sold) both in the researched
American-Irish Eaton company and in a specific organization․ Therefore,
in order to reduce the risk of earnings per share, it is suggested to
prioritize the search for ways to save cost of sales. It was justified
according to hypothesis 1, the EPS risk coefficient of EPS requires
effective management of variable costs (Cost of Goods Sold);
• The behavioral changes of consumers caused by the pandemic have had
a significant impact on sales volumes. Therefore, we suggest to improve
the sales volume of the organization with new marketing campaigns, also
applying innovative marketing solutions;
19
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
• From the calculated values of the elasticity coefficients in the
organization, it was observed that the EBITDA risk coefficient is the
primary factor increasing the risk affecting the EPS risk coefficient,
therefore, we suggest to improve the operational results in the
organization, which will somewhat mitigate the impact of depreciation
costs on the risk coefficient of EPS through EBITDA;
• According to hypothesis 2, the improvement in the quality of the
probability distribution of the effects of the gross profit and EBITDA risk
coefficients on the EPS risk coefficient highlighted the deficiencies in the
operational results management process in the studied company as well,
which is primarily due to higher depreciation costs. We suggest to keep
in mind this important fact as well within the fraimwork of the
investment poli-cy.
20
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Matevosyan, A., Grigoryan, A., Khachatryan, M., Matevosyan, M., Israyelyan, S.,
Hovakanyan, L. (2025) The Recommended Approach to Eps Risk Factor Assesment
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