=Paper=
{{Paper
|id=Vol-2422/paper14
|storemode=property
|title=Model for Assessment of the Financial Security Level of the Enterprise Based on the Desirability Scale
|pdfUrl=https://ceur-ws.org/Vol-2422/paper14.pdf
|volume=Vol-2422
|authors=Pavlo Hryhoruk,Nila Khrushch,Svitlana Grygoruk
|dblpUrl=https://dblp.org/rec/conf/m3e2/HryhorukKG19
}}
==Model for Assessment of the Financial Security Level of the Enterprise Based on the Desirability Scale==
https://ceur-ws.org/Vol-2422/paper14.pdf
169
Model for Assessment of the Financial Security Level
of the Enterprise Based on the Desirability Scale
Pavlo Hryhoruk[0000-0002-2732-5038], Nila Khrushch[0000-0002-9930-7023]
and Svitlana Grygoruk[0000-0003-3047-2271]
Khmelnytskyi National University, 11, Instytutska Str., Khmelnytskyi, 29000, Ukraine
violete@ukr.net, nila.ukr@gmail.com, grygoruk.svitlana@gmail.com
Abstract. Modern economic realities of Ukraine in the conditions of growing
destabilizing influences of external and internal environment convincingly prove
that each year the influence of various threats on the level of financial security of
economic entities increases. This necessitates constant monitoring of the
financial security level in order to timely detect and neutralize possible crisis
phenomena as a result of its decrease. The study aims to assess the financial
security level of enterprises based on the theory of comprehensive assessment.
The scientific and methodical approach to design a composite index of financial
security and the identifying its level based on the double use of Harrington's
desirability scale is proposed. The resulting model was tested on the particular
enterprise data. The proposed approach may be used for another set of partial
indicators, as well as in assessing the level of financial security at the national
level. The results of the study may serve as the basis for making managerial
decisions on raising the business entities financial security level and public
administration.
Keywords: financial security, comprehensive assessment, composite index,
financial security level, enterprise, desirability scale
1 Introduction
Security is an integral characteristic of the economic system functioning, which ensures
its viability, stable development and confrontation with external disturbance. Business
activity at macro-, meso-level micro-levels is always subject to various risks and
threats, which in a certain way affect the financial and economic results.
The global financial and economic crisis of 2008-2009 had a significant destabilizing
effect on the financial and economic system of most world countries. This led to the
fall of the stock market, caused the problem of decreasing liquidity and deregulation of
financial institutions, reducing business, rising unemployment. For countries with a
weak economy, such as Ukraine, this has led to an increase in dependence on the
international monetary fund. According to assessments given in [1], as of 2018 85% of
countries affected by the crisis still have production below the level that would have
been achieved according to forecasted estimates taking into account pre-crisis trends.
170
Therefore, issues related to the assessment of financial security level of business
entities in order to timely identify and neutralize the negative consequences of its
reduction are relevant. The solution of this problem is possible through the use of
modern cognitive tools, an important element of which is modeling. One of the most
common approaches is to assess the level of financial security based on the analysis of
a large number of financial and economic indicators by aggregating them into a single
comprehensive index. This minimizes the loss of information, allows to get the result
in the foreseeable form which convenient for further analysis, use and interpretation.
Among the problems that may be solved with its serve, we can identify such as the
comparison of objects studied between themselves, the identification of the objects
structure, the objects classification under the level of the investigated quality, the
identification of the overall quality level, the classification of new objects into a certain
structure, determination of the correspondence degree of objects under study to some
imaginary “ideal” and identifying the directions of situation improvement.
2 Literature Review
Issues of financial security in context of its study of both an important component of
economic security, and an independent attribute of the economic mechanism of
business entities, relevant for a long period of time.
Certain aspects of financial security modeling related, in particular, to the assessment
of its factors, identification of threats and assessment of risks, diagnostics of the level
and identification of the appropriate security class, forecasting of the financial and
economic state of business entities, despite a significant number of publications and
results, remain in the focus of many researchers. This is due to the complexity and
multiple features of the financial security category, the dependence of its state and level
on a large number of various indicators, and the high dynamism of the external
environment, which is a source of new perturbations and challenges. Paper [2] presents
an analysis of approaches to determine the content of the financial security category of
business entities, their advantages and disadvantages.
In particular, it is focuses on the fact that key issues in ensuring financial security
are the ability to protect own priority financial interests from potential and real threats
of internal and external environment, realized through the achievement and
maintenance of an appropriate level of financial stability, solvency and liquidity, and
ensuring enterprises’ financial independence.
Among the problems whose study is most often met, the problem of identifying the
level of financial security, assessing and forecasting its state are taken as a special place.
Side by side with this there is a task of forming a system of indicators that determine
its level and state. The most common approach to solve these problems, which is
presented in the scholars' papers, is based on the formation of a comprehensive indicator
of financial security.
Investigation of modern issues related to the assessment of financial security on the
state level is shown, in particular, in the papers [3, 5-8]. Paper [3] contains calculation
of assessment of financial security level of Ukraine according to the Ukrainian
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methodology for assessing the economic security [4]. The Ukraine’s rating was
identified by value of this estimation. Authors also used regression analysis to assess
the influence of different factors on the country’s financial security level. Based on the
calculations, the authors made proposals to improve the methodology for assessing the
financial security level aimed at reducing the subjectivity of the evaluation and
improving the final result quality. The article [5] also uses the mentioned above
methodology for analyzing the dynamics of comprehensive indicators that are
components of Ukraine's financial security. The authors identify some of the
methodology drawbacks, and propose a set of measures to increase the financial
security level of Ukrainian enterprises.
Paper [6] proposed to use Corruption Perceptions Index for assessing financial
security level. Paper [7] authors designed a set of models to analyze dynamics of the
financial security indicators base on the multidimensional analysis statistical analysis,
vector autoregression technologies, error correction models. Calculation and
comparison of financial security indexes for Ukraine and some EU countries were
made. Financial security subsystems which are most sensitive to the external threats are
highlighted. The influence of internationalization and globalization to the financial
security assurance on the national level has been studied in the paper [8].
An especially important problem for the development of the country's economy is to
assess the financial security level of individual enterprises. In [9], the scoring model for
financial security assessment of an enterprise is proposed based on five groups of initial
indicators that reflect profitability, solvency, business activity, market stability and
investment attractiveness of the business entity. Components of resulting index are
calculated by the dynamic rating assessment method. The disadvantage of this approach
is that it allows you to determine the financial security level in relation to the importance
of this characteristic in the industry average. However, the actual level of financial
security is not determined here, which complicates the results interpretation.
Another approach to use rating assessment is presented in [10]. Financial security
level is assessed on three classes by the calculation of the weighted scoring estimation
using the ratings of initial indicators. In our view, disadvantages this method are certain
“artificiality” in the transition from quantitative values of initial indicators to the
corresponding ratings, the lack of justification of the value’s boundaries for determining
the financial security level. This significantly limits the application of this method.
An approach to calculate comprehensive index based on the use of a linear additive
convolution of partial composite indices, is become quite widespread [11-14]. In most
cases, such indicators reflect certain components of the financial condition of the
enterprise. Initial data for the designing partial composite indexes for each group are
calculated by matching the corresponding values of the financial conditions’
coefficients to their normative values. This approach also provides for definition of the
minimum of financial security level of enterprises. Among the disadvantages it should
be noted that the composite index goes beyond 0 to 1, which complicates the results
interpretation. In addition, the authors determine the financial security level by grading
the values of the corresponding composite index, but the boundaries of these levels
don’t have sufficient justification. Another disadvantage is that the compensation effect
influences the definition of the minimal value of financial security level in general,
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when the high value of the partial composite index of financial security for one group
of initial indicators can overlap the low values for other groups.
Regression models for assessing the of enterprises financial security level are
proposed in [15, 16]. They allow to identify the influence of the most significant factors
on the final result, which helps to determine the direction of making managerial
decisions to increase security. In addition, such models can be used to assess the value
of a financial security index in subsequent periods. In our view, such models have a
limited application because number of predictors including to the model is limited by
the volume of initial data. Furthermore, they don’t allow to assess the financial security
level.
The results of this review make it advisable to develop an own approach to assessing
the enterprises financial security level. It aimed to eliminate the disadvantage inherent
in the methods described above, in particular, to reduce the compensation effect from
overrun normative values by indicators, as well as to identify and justify the financial
security levels.
3 Problem Description and Methodology
To assess the financial security level, we propose an approach also based on the
calculation of the composite index. Let’s consider the essence and peculiarities of each
stage of the proposed approach.
The first stage of its design is the formation of a set of initial characteristics of
financial security, X={X1, X2, ..., Xm}, m – the number of characteristics, each of which
in this case is an indicator measured on a metric scale. The number of such indicators,
the feasibility of their distribution into groups is determined by the specific objectives
of the study. A large number of indicators reduces the impact of each component on the
variability of the final result. In addition, the weight coefficients values for the
components of the composite index may be statistically insignificant. Instead, too few
of them can take into account not all the features of components of financial security.
In the case of a large number of initial indicators, it is expedient to use a sequential
convolution procedure in which they are initially grouped according to certain
characteristics. At the same time, following conditions are provided for each group:
1. The indicators of each group should reflect one characteristic of the investigated
phenomenon.
2. There must be high correlation between the indicators within the group.
3. The correlations between the indicators of different groups must be insignificant.
So, in this case, the correlation matrix of the initial indicators serves to group the initial
data.
Another way to group indicators is to combine them using meaningful analysis.
Partial composite index is calculated for each group. The final composite index is
formed from these partial indexes. This approach is predominantly used in the reviewed
above papers [9-14]. It should be noted that second and third requirements described
above may not be met.
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The formation of a synthetic generalized index for each group can also be done using
multidimensional analysis like factor analysis or principal component analysis. These
methods are particularly effective when there are high correlations between indicators
within the group. Also, their advantage is that they allow to determine the importance
(or weight) of each component of group composite index.
Ones more way for processing group of initial indicators is to select from each group
the most “informative” indicator using heuristic methods of diminishing the dimension.
However, the part of the information is necessarily lost in the final result in this case.
In addition, these methods have a high level of subjectivity in determining the
appropriate indicators.
Next stage is to shape vector of indicators q={q1, q2, ..., qn}, that are functions from
set of initial indicators and aimed on the assessment of separate components of financial
security. The vector q is characterized by the fact that the influence of the measurement
units of the initial indicators is removed from it, and it has a direction of positive change
its values in accordance with increase of values of it components. A typical situation is
when each indicator of the set X somehow transforms to the component of the vector
q: qi=f(Xi), i=1, 2, …, n, m=n.
Additionally, the components of this vector should meet the normalization condition,
that is, its value must be on the interval [0; 1]. It simplifies further analysis of the
comprehensive assessment results of financial security.
The choice of the form of a synthesizing function Q=F(w1, w2, ..., wn, q1, q2, ..., qn)
is further make. This procedure puts into compliance the vector q to the corresponding
value of composite index Q, which reflects the latent characteristic of the investigated
phenomenon, in this case – an assessment of the level of financial security. Aggregation
of the vector q into the composite index is carried out taking into account the vector of
some positive parameters w={w1, w2, ..., wn}, which represent the significance of the
individual components of the vector q. Usually a standard condition w1+w2+...+wn=1
imposed additionally on its components which gives grounds to conclude about the
relative importance of each component of the composite index.
In the case of grouping initial indicators, for each group we can use different
aggregation procedure depending on the type of initial indicators and the way of their
transformation into a q vector. The most common method is the convolution (additive
or multiplicative) and the distance method. There is no reason to argue that using one
type of convolution can produce better results than using another one. Usually, the
choice of a concrete convolution type is determined by the problems solved, and the
values that initial (normalized) data can take. In our study, we propose to use
multiplicative convolution. The justification for this choice will be given below.
Last stage is meaningful interpretation of results. It involves establishing a match
between the estimated values of the composite index and the financial security level.
The identifying the number of levels, their correspondence to certain ranges of the
composite index values and the justification of ranges boundaries form a separate non-
trivial issue. In our view, the solution of this problem should be based on certain tools,
in particular, use of cluster analysis, iterative procedures for calculating index ranges’
boundaries, scale of desirability, etc. Last approach is used in our studies.
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4 Findings
In the framework of the considered approach to design financial security composite
index, according to the analysis of previous studies results [9-15], to form the
information base of the study, we propose to select as initial indicators ones that
characterize the enterprise financial conditions. In so doing we include to the initial set
only those indicators which have known normative values. The basis for further
calculations is the assumption that the equality of all indicators to their normative
values corresponds to high (proper) level of financial security.
To obtain a vector q, which will serve as the basis for designing an composite index,
we use a five-step procedure based on the use of E. Harrington’s function
H(Zi)=exp(-exp(-Zi)) and its appropriate desirability scale [17], where Zi is the value of
the initial indicator on the scale of partial indices Z. The value of the function d=H(Z)
form a desirability scale.
In the first step, it is necessary to establish a correspondence between the values of
the scale Z of the E. Harrington’s function and the values of the initial index Xi, i=1, 2,
…, n. Based on the graph of the function H(Z) (Fig. 1), we can conclude that H(–2)0,
H(5)1. Therefore, the effective values range of partial indicators scale is the range
[-2; 5].
Fig. 1. Harrington function graph.
Let’s use this fact, putting the value Z = Z* = 5 in line with the normative value Xi* of
each initial indicator, i=1, 2, …, n. This means that at the normative value of the Xi, the
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highest value on the desirable scale d is reached. The value Xi* of the initial indicator,
for which the critical level of desirability d=0 is reached, corresponds to the value
Z = Z* = –2. Usually Xi* = 0. So, the coefficient ki, i=1, 2, …, n, for transformation of
the values of the indicator Xi to the values of the scale of partial indices Zi is calculated
by the formula:
ki=(Z*–Z*)/Xi*. (1)
In the second step, we calculate the value of Zi, i=1, 2, …, n, by the formula:
Zi=kiXi+Xi* (2)
In the third step, we find image di of indicator Xi on the desirability scale using
corresponding value of the scale of partial indicators Zi, i=1, 2, …, n:
di=H(Zi). (3)
In the fourth step, we identify the “level” of the indicator Xi, i=1, 2, …, n, on the
desirability scale in accordance with Table 1 [17].
Table 1. The connection between the quantitative values of the desirability scale and its
qualitative levels.
Qualitative expression of The range of quantitative values on the scale of
desirability desirability
Very good 0.80..1.00
Good 0.63..0.80
Satisfactorily 0.37..0.63
Badly 0.20..0.37
Very badly 0.00..0.20
In the fifth step, we calculate the value of indicator qi as middle of an interval that
corresponds to the level of desirability of the indicator Xi:
qi=(d2i+d1i)/2 (4)
where d2i, d1i are right and left boundaries of desirability scale range, which contains
calculates value di.
To design composite index Q of the financial security, we propose to use weighted
multiplicative convolution:
n
wi
Q q
i 1
i (5)
Such a choice is justified by the fact that it is consistent with the rule of constructing a
comprehensive index proposed by E. Harrington [17]. Also, it should be noted that
among the values of qi there are no zero ones, which makes it impossible to obtain the
zero value of the resulting function Q. Otherwise, the zero values would completely
reduce the influence of other indicators on the result.
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To identify the financial security level, we again use desirability scale by the
determining the range on the scale d which contains value of index Q. In this case, we
establish an interpretation of financial security levels in accordance with Table 2.
Table 2. The relationship between the quantitative values of composite index Q and financial
security levels.
Qualitative expression of financial The range of quantitative values of the
security level composite index Q
High 0.80..1.00
Normal 0.63..0.80
Satisfactory 0.37..0.63
Critical 0.20..0.37
Crisis 0.00..0.20
In our opinion, presented approach has such advantages.
1. Results don’t depend from the simple which is used to assess the financial security
level. Transformation of initial indicator values is determined in relation to its
normative value, and not in relation to the maximal or the minimal sample values.
2. Calculating the values of the composite index by the proposed algorithm reduces
compensation effect, when exceeding the normative value of one indicator will
affect deviations from the normative value of another indicator.
3. It allows to establish a reasonable financial security level.
Among the disadvantages it should be noted that not all indicators that characterize the
financial condition, have justified normative values. Some indicators have positive
features as the characteristics of their dynamic, that usually increase their values during
the time.
Let we test the proposed approach under the data of the private joint-stock company
“Derazhnia dairy Plant”. Initial data for the calculation was provided by annual
financial reports for 2016 and 2017 [18].
We selected follow financial indicators for calculations, which presented in the
Table 3.
Table 3. The list of initial financial indicators and their normative values.
Financial indicators Normative value
X1 Absolute liquidity ratio 0.2
X2 Quick liquidity ratio 0.6
X3 Current liquidity ratio 1.0
X4 Total solvency ratio 2.0
X5 The ratio of short-term receivables and payables 1.0
X6 Autonomy ratio 0.5
X7 The financial stability ratio 1.0
X8 The maneuverability of equity ratio 0.7
X9 The ratio of coverage of inventories and costs 0.8
X10 The financial stability ratio 0.8
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Values of indicators calculated using the financial reports are shown in the Table 4.
Table 4. The values of initial data.
Indicator’s value
Indicator
2016 2017
X1 0.01 0.01
X2 0.41 0.27
X3 1.03 0.93
X4 1.75 1.58
X5 0.20 0.14
X6 0.43 0.37
X7 0.75 0.58
X8 -0.16 -0.20
X9 -0.22 -0.18
X10 0.51 0.40
We use the formulas (1) and (2) to calculate the values of the indices on the Z-scale.
Results are shown in Table 5.
Table 5. The values of indicators on Z-scale and d-scales.
Appropriate value
Indicator’s value
Indicator on the scale d
2016 2017 2016 2017
Z1 -1.71 -1.75 0.00 0.00
Z2 2.84 1.13 0.94 0.72
Z3 5.18 4.51 0.99 0.99
Z4 4.14 3.52 0.98 0.97
Z5 -0.61 -1.01 0.16 0.06
Z6 4.02 3.13 0.98 0.96
Z7 3.28 2.04 0.96 0.88
Z8 -3.55 -4.01 0.00 0.00
Z9 -3.95 -3.62 0.00 0.00
Z10 2.46 1.48 0.92 0.80
In the next step, we find by the formula (3) the values of the indicators on the
desirability scale d. The results are also shown in Table 5.
Then we use formula (4) to identify components of the vector q. Results are
presented in the Table 6.
Considering the initial indicators weights are the same (wi=0.1, i=1, 2, …, 10), we
calculate the value of the composite index Q. As a result, we obtain: Q2016=0.36,
Q2017=0.36. According to Table 2, the financial security level of the studied enterprises
during the investigated period is identified as critical but close to satisfactory.
We made calculations to assess the financial security level for the same data in
accordance with the method presented in [11]. According to it, a quantitative
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assessment of this level may be calculated according to the set of indicators identified
in this study. As a result, we obtained such estimations of the financial security level:
RFS 2016 = 0.459, RFS 2017 = 0.363. At the same time, the minimum required level of
financial security, as determined by the paper’s author, in this case is 10 (according to
the number of initial indicators for which the calculation was made).
Table 6. The values of components of the vector q.
Indicator’s value
Indicator
2016 2017
q1 0.10 0.10
q2 0.90 0.72
q3 0.90 0.90
q4 0.90 0.90
q5 0.10 0.10
q6 0.90 0.90
q7 0.90 0.90
q8 0.10 0.10
q9 0.10 0.10
q10 0.90 0.72
Consequently, we can state that the financial security level assessed significantly
deviates from the minimum required level established by this method and can be
classified as critical. This result is consistent with what was obtained in our study.
5 Conclusions
Assessing the financial security level is an urgent problem both at the state level and
for individual business entities. The conducted studies showed the widespread use of
the comprehensive assessment methodology to solve this problem. The article
considers an approach to assessing the financial security level of an enterprise by
designing a composite index. Its calculation contains four stages. The first stage
involves identifying the set of initial indicators that characterize financial security. In
the second stage, selected indicators are reduced to a single form by removing the
measurement units and transformation into indicators-stimulants. These calculations
use the normative values of the selected indicators, the E. Harrington’s function and
desirability scale. In the third stage, the convolution of obtained new indicators is
carried out. Taking into account the procedure of transformation of indicators in the
second stage, we proposed and justified the use of convolution in the multiplicative
form. The fourth stage is devoted to the interpretation of the result, that is, to identify
the financial security level. To do this, we used the desirability scale again. The
proposed four-stage procedure, qualitative expression of financial security levels and
their appropriate ranges of quantitative values of the composite index Q are the subject
of scientific novelty of this study.
179
Practical testing of the presented approach was carried out according to the data of
the private enterprise “Derazhnia dairy Plant” and was compared with the results
obtained by another approach. The final conclusions were similar.
The proposed approach doesn't depend on the number of initial indicators and the
direction of their positive change. In the case that their number is too large to evaluate
the impact of an individual component, the article proposes ways to solve this problem.
The results of the study may serve as the basis for making managerial decisions on
raising the business entities financial security level and public administration.
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