The Impact of Equity Information as An Important Factor in Assessing Business Performance

: Assessing the business performance is an important aspect of almost all economic decisions at the microeconomic and macroeconomic level, in the short and long term. Information about the partners’ relationship to the business, their interest in the evaluation of investments can be explained by various indicators. It is relevant to understand the dependencies of the business performance and the amount of equity, while negative equity can be considered as critical information of existence. The purpose of quantitative research is to identify the relationship between reported negative equity and the business performance in Slovakia on an exhaustive sample of ﬁnancial data of businesses with negative equity in the period 2014–2018. The business performance with negative equity is assessed through the Altman Z-score and the IN05 index, by classifying businesses into bankruptcy, prosperity and gray zones. Pearson’s correlation analysis between negative equity and Altman Z-score performance conﬁrms the strong direct relationship between negative equity and the bankruptcy zone, the weaker indirect relationship between negative equity and the gray zone, and almost no dependence of negative equity and prosperity zone. In the case of the IN05 index, a low correlation was found between negative equity and all three zones. Although businesses with negative equity are in a bankruptcy zone, they do not have to close automatically, but they have to improve resource management, in particular to increase equity, for example by making a proﬁt and good ﬁnancial management.


Introduction
Equity is one of the business own resources of assets, which should be used in the business for a long time. The equity information is provided by the financial statements of a particular business, which in the case of double-entry accounting entities consists of a balance sheet, profit and loss account and notes and together provides a true and fair view of the business financial and revenue situation. The objective of financial statements is to present financial information that should primarily be understandable and comparable. The more comparable the accounting information, the better the explanatory power to users of that information. Through equity information, it is possible, among other things, to assess whether the business is financially sound or faces significant financial problems that may lead to the business demise in the future. Negative equity is one of the main indicators that apply when business is assessed as a business in crisis, apart from the low ratio of equity to liabilities and insolvency. Therefore, this paper deals with the impact of equity information on the business performance.
Proper assessment of the financial situation, especially the businesses performance is an important aspect of almost all economic decisions at the microeconomic and macroeconomic level, in the short and long term. The amount of financial and non-financial information currently available can sometimes make it difficult to evaluate the information available, which can lead to incorrect decisions. In the case of the shareholders' relationship with the business, from the point of view of their interest in achieving the value of their resources exist in the company throughout the business and the company should always have them available, because they are long-term resources. In accounting, own resources are referred to as equity.
Equity can be divided into two basic parts in terms of the time of entry into the business [26]. The first part being the part that was invested in the business at its establishment, for example, the capital that was initially invested in the business by individual owners. The second part is related to the very period of existence and consists of internal resources (resources created by own activities), external resources (resources obtained by other owners' contributions to equity, such as gifts from partners) and resources acquired in another form (valuation differences arising from revaluation of some types of assets and liabilities in accordance with the Act on Accounting, share premium and others) [27]. The volume of equity plays a crucial role in determining the long-term survival of the business [28]. If the value of equity is negative, i.e., the amount of liabilities exceeds the amount of assets, the assets are financed mainly by foreign resources representing liabilities [29].
According to the previous characteristic, equity consists of several components, which in businesses in the Slovak Republic are reported in the financial statements in a formalized structure. The basic component of equity is the share capital, which is a monetary expression of the sum of monetary and non-monetary deposits made by all partners in the business. The share capital is compulsorily created in limited liability companies, joint stock companies and simple joint stock companies, while its amount is registered in the Commercial Register of the Slovak Republic [30]. In addition to the share capital, the components of equity also include capital funds, valuation differences, funds created from profit, profit or loss from previous years and profit or loss for the accounting period after tax. Accounting entities report all components of equity in the balance sheet on the liabilities side. Explanatory and additional information regarding changes in equity is included in the notes to the financial statements. The financial statements of accounting entities-businesses in the Slovak Republic are obligatorily published in the Register of Financial Statements of the Slovak Republic, which is freely available to users (without the obligation to register or pay a fee for its use) as an information source on the financial situation of accounting entities in the Slovak Republic.

Measuring the Financial Performance of Businesses
When evaluating the financial performance and predicting the future development of businesses, the relevant sources can be considered financial statements [31,32], which provide information for managers and a financial management, which can be included among the main tasks of the accounting system [33]. The annual report, which is a business performance monitoring tool, can also be considered a relevant source of information [34]. The content of the annual report is mandatory with disclosures required by legislation and voluntary disclosures [35]. Managers and a financial management belong to the internal users of information to whom comprehensive data is made available beyond the information required to be disclosed by law [36]. Conversely, external users, such as shareholders and various creditors, are used for decision-making only by published documents, including financial statements and annual reports. Managers and owners focus their attention on the business performance measured mainly by profit or distributed dividends [37]. In the case of a profit distribution, a situation may arise where the resources left in the business are not sufficient in the long run to cover the renewal of necessary fixed assets or purchase of inputs, which may cause that the business will not be able to maintain its main or productive capacity in the short term and will face bankruptcy in the future [38,39]. In identifying potential problems, the financial distress of a business and assessing financial stability, the information provided by the accounts is based, which should contain the correct and comprehensible information necessary for the financial analysis [40,41].
Financial analysis is used to assess the financial performance of businesses, which is considered a tool for diagnosing economic systems, while on the one hand helps to reveal the effects of economic and non-economic factors and on the other hand helps to estimate their future development [42]. Initially, the aim of the financial analysis was to assess the creditworthiness of the debtor by creditors [43]. Financial analysis is an integral part of the business financial management, providing feedback on where the business has reached in each area of financial management, in which areas the business has managed to meet its objectives and, conversely, in which areas the business did not meet the expected objectives. Financial analysis can be understood as an examination of economic phenomena or processes [44]. The main task of financial analysis is to report the property and financial situation of the business and at the same time to prepare documents relevant for the decision-making of managers in the internal environment. An enterprise that can consistently achieve the level of capital appreciation (profit rate, profitability) required by investors with respect to the amount of risk associated with the type of business can be considered as a financially sound or prospering enterprise. The opposite of financial health is financial distress, which is a situation where the business suffers from significant problems and the ability to repay liabilities is endangered [45]. This is primarily a situation where there is a reduction of own resources to negative values, which results in bankruptcy and termination of business.
Financial performance can be calculated through two categories of indicators. The first category consists of accounting-based indicators, such as return on equity (ROE), return on assets (ROA), return on sales (ROS), earnings per share (EPS), price-to-earnings ratio (P/E ratios), which are widely used [46][47][48][49][50][51]. The second category is market return indicators, such as market value (MV), price-to-income ratio (P/I ratio) and others [52,53].
It is the area of evaluation of information on negative equity and its impact on business performance that is not sufficiently examined in the literature, although critical situations are very important for long-term efficiency of business investment, so research results presented in this article are very important in the development of managerial information both in the scientific sphere and in practice.

Materials and Methods
The aim of the quantitative research carried out on a sample of economic information of businesses established in the Slovak Republic for the period of 2014-2018 is to assess the impact of a negative equity on the performance of the examined businesses. The quantitative research is carried out on a sample of businesses established in the Slovak Republic, whose financial statements in 2014-2018 are published in the register of financial statements, specifically in 2014 there were 181,153 businesses, in 2015 184,114 businesses analyzed, in 2016 we analyzed 191,240 businesses, in 2017 there were 201,075 businesses and in 2018 the most businesses were analyzed, namely 211,824. Businesses in bankruptcy or restructuring proceedings were excluded from the research sample, as they are already in the phase of closure and therefore it does not make sense to determine their future performance through historical data. At the same time, businesses for which reporting discrepancies were identified in the published financial statements were excluded and therefore are not a relevant basis for the analysis performed.
Among the data sources that are relevant for the research, we mainly include the financial statements of the examined businesses for the period of 2014-2018, which are published on the website of the register of financial statements maintained by the Ministry of Finance of the Slovak Republic [54], which is also publicly available to external users. An additional source of information is Finstat [55], which on a commercial basis regularly synchronizes information on businesses and data published in the register of financial statements, while in addition to the financial statements it provides more extensive and detailed structured information in tabular output formats.
From the information published in the financial statements of the examined businesses, we assessed the structure of equity of businesses for the period of 2014-2018. The basic descriptive statistics of the examined sample of businesses according to the amount of equity (E) and profit or loss after tax (P/L) in 000 € are in Table 1. For research, we divided the businesses into three groups, i.e., businesses with a positive equity, negative equity and zero equity. Subsequently, we evaluated the performance of businesses reporting the negative equity in the period under review through bankruptcy and creditworthiness models, specifically the Altman's Z-score and the IN05 index. Based on the resulting values of these indicators, we have divided businesses into prosperous, non-prosperous and those for which we cannot determine with certainty whether they are prosperous or not. Using Pearson's correlation coefficient, we identify the relationship between the negative equity and the performance of the examined businesses. Subsequently, we compare selected models for evaluating the financial performance of businesses, while pointing out their strengths and weaknesses.

Model and Data
There are several models used to evaluate the business performance, two of which are relevant for research purposes, namely the Altman Z-score also known as the Altman financial health index and the IN05 index. Through Altman's Z-score, based on discriminatory analysis, Professor Altman sought to find indicators that are best able to distinguish between prosperous and non-prosperous businesses [56]. To determine the ratios that most faithfully characterize the financial and economic situation of businesses and especially for its future development, Professor Altman used a statistical methodmultiple discriminatory analysis consisting in finding the linear combination of indicators that best distinguishes a group of businesses into bankrupt and prosperous [57]. The calculation of the Altman Z-score (Z) is based on a formula in which it is necessary to determine the value of five unknown variables [58], from x 1 to x 5 , according to formula 1, which can be modified using these variables (2). The variable x 1 can be considered as a certain modification of liquidity ratios. The problem item is current assets, respectively their structure. If working capital is made up of unproductive and unsaleable assets, this can jeopardize the businesses profitability and solvency. The variable x 2 expresses the rate of return on assets, regardless of the resources of financing. The variable x 3 representing the return on assets includes in the numerator the accounting profit, i.e., the profit before taxes and interest increased by interest expense reducing the accounting profit, through which it is possible to distinguish between different taxed and indebted businesses. Variable x 4 assesses the indebtedness, with the numerator of this variable originally including the market value of equity, which was later replaced by Professor Altman for the book value of equity. The last variable x 5 expresses how the business values the invested funds.
Explanations for a specific modification of the formula: x 1 -the ratio of net working capital (NWC) and total assets (TA), x 2 -return on net assets (ROA), x 3 -the ratio of earnings before interest and taxes (EBIT) and total assets (TA), x 4 -the ratio of book value of equity (BVE) and foreign capital (FC), x 5 -ratio of sales (S) and total assets (TA). Modified formula using variables: Based on the resulting value of the Altman Z-score, it is assessed whether the financial situation of the analyzed businesses is satisfactory, i.e., businesses are in the prosperity zone, or whether businesses have significant financial problems, i.e., they are in the bankruptcy zone, or businesses are in the gray zone, when it is not possible to clearly determine whether the business is prospering or not [59] (Figure 1).
Explanations for a specific modification of the formula: x1-the ratio of net working capital (NWC) and total assets (TA), x2-return on net assets (ROA), x3-the ratio of earnings before interest and taxes (EBIT) and total assets (TA), x4-the ratio of book value of equity (BVE) and foreign capital (FC), x5-ratio of sales (S) and total assets (TA). Modified formula using variables: Based on the resulting value of the Altman Z-score, it is assessed whether the financial situation of the analyzed businesses is satisfactory, i.e., businesses are in the prosperity zone, or whether businesses have significant financial problems, i.e., they are in the bankruptcy zone, or businesses are in the gray zone, when it is not possible to clearly determine whether the business is prospering or not [59] (Figure 1). Index IN05 is the most famous Czech index created by the Mr. and Mrs. Neumaier, which allows the evaluator to express a comprehensive conclusion about the business performance. Although the IN05 index was created for the conditions of businesses established in the Czech Republic, it can be applied to businesses established in the Slovak Republic, as the items in the reports are similar in the Czech and Slovak Republics, which means that all information needed to the calculation of the IN05 index can be found in the balance sheets and statements of businesses also in the conditions of the Slovak Republic [60]. The following items (3) are used in the calculation of the IN05 index [61]: total assets (TA), foreign capital (FC) profit before interest and taxes (EBIT), interest expense (IE), total revenues (TR), current total assets (CTA) and current liabilities (CL), which can also be modified using variables y1 to y5 (4). 05 = 0.13 * + 0.04 * + 3.97 * + 0.21 * + 0.09 * Explanations for a specific modification of the formula: y1-ratio of total assets (TA) and foreign capital (FC), y2-ratio of earnings before interest and taxes (EBIT) and interest expense (IE), y3-ratio of earnings before interest and taxes (EBIT) and total assets (TA), y4-ratio of total revenues (TR) and total assets (TA), y5-ratio of current total assets (CTA) and current liabilities (CL). Modified formula using variables: As with the Altman Z-score, the IN05 index also assesses, on the basis of the resulting value, whether businesses create value, i.e., are creditworthy, or whether they are bankrupt or are in the gray zone [60] (Figure 2). Index IN05 is the most famous Czech index created by the Mr. and Mrs. Neumaier, which allows the evaluator to express a comprehensive conclusion about the business performance. Although the IN05 index was created for the conditions of businesses established in the Czech Republic, it can be applied to businesses established in the Slovak Republic, as the items in the reports are similar in the Czech and Slovak Republics, which means that all information needed to the calculation of the IN05 index can be found in the balance sheets and statements of businesses also in the conditions of the Slovak Republic [60]. The following items (3) are used in the calculation of the IN05 index [61]: total assets (TA), foreign capital (FC) profit before interest and taxes (EBIT), interest expense (IE), total revenues (TR), current total assets (CTA) and current liabilities (CL), which can also be modified using variables y 1 to y 5 (4).
Explanations for a specific modification of the formula: y 1 -ratio of total assets (TA) and foreign capital (FC), y 2 -ratio of earnings before interest and taxes (EBIT) and interest expense (IE), y 3 -ratio of earnings before interest and taxes (EBIT) and total assets (TA), y 4 -ratio of total revenues (TR) and total assets (TA), y 5 -ratio of current total assets (CTA) and current liabilities (CL). Modified formula using variables: IN05 = 0.13y 1 + 0.04y 2 + 3.97y 3 + 0.21y 4 + 0.09y 5 (4) As with the Altman Z-score, the IN05 index also assesses, on the basis of the resulting value, whether businesses create value, i.e., are creditworthy, or whether they are bankrupt or are in the gray zone [60] (Figure 2). ion 2021, 12, x FOR PEER REVIEW 7 of 18 We apply both models on the same database of businesses in Slovakia with aim to compare the results of the classification of businesses into three zones describing the stability of businesses. Using Pearson's correlation coefficient, we subsequently identified the interdependence between negative equity and the financial performance of businesses based on the calculation of the Altman Z score and the IN05 Index. Pearson's correlation coefficient is currently considered to be the most important and most used correlation coefficient, the calculation of which is realized from n pair values (xi, yi), while the sampling of Pearson's correlation coefficient r(X,Y) is considered to be an estimate of its theoretical value [62] (5), which can take different values from the interval <−1;1> [63] explained in Table 2.  If the values of the correlation coefficient are higher than zero, we speak of a positive correlation, in the opposite situation, when the correlation coefficient acquires values lower than zero, we speak of a negative correlation. The absolute values of the Pearson correlation coefficient express the strength of the correlation of the investigated variables and the signs express the character of the correlation, i.e., whether it is a direct or indirect dependence between the variables.

Results
The equity structure of businesses established in the Slovak Republic was different in the period of 2014-2018, with a positive equity prevailing over the entire period under review, which averages 68% of businesses, which corresponds to an average of 131,805 businesses. On average, 29% of businesses have a negative equity, which corresponds to an average of 56,742. The remaining businesses (on average 3%) show zero equity, namely an average of 5335 businesses. Based on the analysis, it can be assessed that with each passing year there is an increase in the number of businesses with a positive equity and a decrease in businesses with a negative equity. It follows from the above that in 2018 the least businesses had a negative equity ( Figure 3). Of the examined businesses for the whole monitored period, the profit shows an average of 57% (110,512 businesses), the loss shows an average of 38% (73,675 businesses and the rest of the businesses, on average 5% (9694) shows an economic result equal to zero. It follows from the above that during the period considered more businesses with a positive equity predominate over profitable businesses ( Figure 3). We apply both models on the same database of businesses in Slovakia with aim to compare the results of the classification of businesses into three zones describing the stability of businesses. Using Pearson's correlation coefficient, we subsequently identified the interdependence between negative equity and the financial performance of businesses based on the calculation of the Altman Z score and the IN05 Index. Pearson's correlation coefficient is currently considered to be the most important and most used correlation coefficient, the calculation of which is realized from n pair values (x i , y i ), while the sampling of Pearson's correlation coefficient r(X, Y) is considered to be an estimate of its theoretical value [62] (5), which can take different values from the interval <−1;1> [63] explained in Table 2.  If the values of the correlation coefficient are higher than zero, we speak of a positive correlation, in the opposite situation, when the correlation coefficient acquires values lower than zero, we speak of a negative correlation. The absolute values of the Pearson correlation coefficient express the strength of the correlation of the investigated variables and the signs express the character of the correlation, i.e., whether it is a direct or indirect dependence between the variables.

Results
The equity structure of businesses established in the Slovak Republic was different in the period of 2014-2018, with a positive equity prevailing over the entire period under review, which averages 68% of businesses, which corresponds to an average of 131,805 businesses. On average, 29% of businesses have a negative equity, which corresponds to an average of 56,742. The remaining businesses (on average 3%) show zero equity, namely an average of 5335 businesses. Based on the analysis, it can be assessed that with each passing year there is an increase in the number of businesses with a positive equity and a decrease in businesses with a negative equity. It follows from the above that in 2018 the least businesses had a negative equity (Figure 3). Of the examined businesses for the whole monitored period, the profit shows an average of 57% (110,512 businesses), the loss shows an average of 38% (73,675 businesses and the rest of the businesses, on average 5% (9694) shows an economic result equal to zero. It follows from the above that during the period considered more businesses with a positive equity predominate over profitable businesses ( Figure 3). We further performed a deeper analysis on a group of businesses with a negative equity. The average value of a negative equity fluctuated during the monitored periods, while in 2014-2017 its value decreased and since 2018 it increased by €2305. The amount of an average negative equity is partly influenced by the amount of average profit or loss after tax, which had the character of a loss during the period under review with an average amount of €−28,292. However, the amount of the loss was not very significant, as it averaged 20% of a negative equity (Figure 4).

Analysis of Equity and Performance of Businesses According to Altman's Z-Score
The results of the Altman Z-score showed that from the examined businesses, which had a negative equity between 2014 and 2018, on average 69% (39,182 businesses) are in bankruptcy, i.e., these businesses have significant financial problems. On average, 18% of businesses with a negative equity in the period under review are in the prosperity zone. This percentage corresponds to an average of 10,066 businesses. On average, 13% (7494 businesses) are in the gray zone, which means that it is not clear whether they have a satisfactory financial situation or are facing significant financial problems. In 2018, most businesses are in the bankruptcy zone, namely 70.73% (7150 businesses) ( Figure 5). 66  We further performed a deeper analysis on a group of businesses with a negative equity. The average value of a negative equity fluctuated during the monitored periods, while in 2014-2017 its value decreased and since 2018 it increased by €2305. The amount of an average negative equity is partly influenced by the amount of average profit or loss after tax, which had the character of a loss during the period under review with an average amount of €−28,292. However, the amount of the loss was not very significant, as it averaged 20% of a negative equity (Figure 4).  We further performed a deeper analysis on a group of businesses with a negative equity. The average value of a negative equity fluctuated during the monitored periods, while in 2014-2017 its value decreased and since 2018 it increased by €2305. The amount of an average negative equity is partly influenced by the amount of average profit or loss after tax, which had the character of a loss during the period under review with an average amount of €−28,292. However, the amount of the loss was not very significant, as it averaged 20% of a negative equity (Figure 4).

Analysis of Equity and Performance of Businesses According to Altman's Z-Score
The results of the Altman Z-score showed that from the examined businesses, which had a negative equity between 2014 and 2018, on average 69% (39,182 businesses) are in bankruptcy, i.e., these businesses have significant financial problems. On average, 18% of businesses with a negative equity in the period under review are in the prosperity zone. This percentage corresponds to an average of 10,066 businesses. On average, 13% (7494 businesses) are in the gray zone, which means that it is not clear whether they have a satisfactory financial situation or are facing significant financial problems. In 2018, most businesses are in the bankruptcy zone, namely 70.73% (7150 businesses) ( Figure 5). 66

Analysis of Equity and Performance of Businesses According to Altman's Z-Score
The results of the Altman Z-score showed that from the examined businesses, which had a negative equity between 2014 and 2018, on average 69% (39,182 businesses) are in bankruptcy, i.e., these businesses have significant financial problems. On average, 18% of businesses with a negative equity in the period under review are in the prosperity zone. This percentage corresponds to an average of 10,066 businesses. On average, 13% (7494 businesses) are in the gray zone, which means that it is not clear whether they have a satisfactory financial situation or are facing significant financial problems. In 2018, most businesses are in the bankruptcy zone, namely 70.73% (7150 businesses) ( Figure 5). Given that the evaluation of the development of financial performance by means of the Altman Z-score was carried out on businesses with a negative equity, it is necessary to examine the development of individual variables used to calculate the Altman Z-score. The average value of the variable x1, which is the ratio of net working capital to total assets, acquired negative values during the whole monitored period, but did not have a significant impact on business performance, due to its negative nature and lowest absolute value in the whole examined period ( Figure 6). The variable x2 represents the ratio of accounting profit to total assets, often referred to as the return on assets. Businesses that generated negative equity in previous accounting periods and made a profit during the period under review, thereby which their negative equity decreases in absolute terms, may still report a negative equity in the period under review, which is the case for variable x2. It follows from the above that given that the average value of the variable x2 is positive in the monitored periods, the financial situation in the businesses concerned is improving. The situation is similar for variable x3, which is the ratio of profit before interest and taxes to total assets, and at the same time variable x5, which is the ratio of sales and total assets. The average value of the variable x4 representing the ratio of equity to foreign capital is negative in the monitored periods, given that the subject of the analysis were businesses reporting the negative equity. This fact did not have an absolute impact on the performance of the examined businesses, as in the case of the Altman Z-score, in addition to equity, other items and coefficients expressing the weight of the relevant indicators x1 to x5 are taken into formula ( Figure 6).
. Figure 6. Average values of Altman Z-score variables.   Given that the evaluation of the development of financial performance by means of the Altman Z-score was carried out on businesses with a negative equity, it is necessary to examine the development of individual variables used to calculate the Altman Z-score. The average value of the variable x 1 , which is the ratio of net working capital to total assets, acquired negative values during the whole monitored period, but did not have a significant impact on business performance, due to its negative nature and lowest absolute value in the whole examined period ( Figure 6). The variable x 2 represents the ratio of accounting profit to total assets, often referred to as the return on assets. Businesses that generated negative equity in previous accounting periods and made a profit during the period under review, thereby which their negative equity decreases in absolute terms, may still report a negative equity in the period under review, which is the case for variable x 2 . It follows from the above that given that the average value of the variable x 2 is positive in the monitored periods, the financial situation in the businesses concerned is improving. The situation is similar for variable x 3 , which is the ratio of profit before interest and taxes to total assets, and at the same time variable x 5 , which is the ratio of sales and total assets. The average value of the variable x 4 representing the ratio of equity to foreign capital is negative in the monitored periods, given that the subject of the analysis were businesses reporting the negative equity. This fact did not have an absolute impact on the performance of the examined businesses, as in the case of the Altman Z-score, in addition to equity, other items and coefficients expressing the weight of the relevant indicators x 1 to x 5 are taken into formula ( Figure 6). Given that the evaluation of the development of financial performance by means of the Altman Z-score was carried out on businesses with a negative equity, it is necessary to examine the development of individual variables used to calculate the Altman Z-score. The average value of the variable x1, which is the ratio of net working capital to total assets, acquired negative values during the whole monitored period, but did not have a significant impact on business performance, due to its negative nature and lowest absolute value in the whole examined period ( Figure 6). The variable x2 represents the ratio of accounting profit to total assets, often referred to as the return on assets. Businesses that generated negative equity in previous accounting periods and made a profit during the period under review, thereby which their negative equity decreases in absolute terms, may still report a negative equity in the period under review, which is the case for variable x2. It follows from the above that given that the average value of the variable x2 is positive in the monitored periods, the financial situation in the businesses concerned is improving. The situation is similar for variable x3, which is the ratio of profit before interest and taxes to total assets, and at the same time variable x5, which is the ratio of sales and total assets. The average value of the variable x4 representing the ratio of equity to foreign capital is negative in the monitored periods, given that the subject of the analysis were businesses reporting the negative equity. This fact did not have an absolute impact on the performance of the examined businesses, as in the case of the Altman Z-score, in addition to equity, other items and coefficients expressing the weight of the relevant indicators x1 to x5 are taken into formula ( Figure 6).
.     Based on Pearson's correlation analysis of businesses in individual groups of businesses classified according to the Altman Z score in the bankruptcy, gray and prosperity zones, we found the following dependencies. Businesses that showed negative equity in the period under review can be found to have a high positive correlation between negative equity and the bankruptcy zone. The value of the Pearson correlation coefficient between the stated items corresponded to 0.88, which shows a high positive correlation. It follows that if businesses are in a bankruptcy zone, negative equity may adversely affect their existence, as there is a threat of a lack of own resources to meet their liabilities. The value of the Pearson correlation coefficient in the case of negative equity and the gray zone is equal to −0.70, which is the threshold value between medium and high negative correlation. As the value of the businesses' negative equity in the gray zone decreases, the value of the Altman Z-score increases linearly, which means an improvement in the business financial situation. From the above, it can be said that in businesses located in the gray zone, higher negative equity may also negatively affect their operation. Although it is uncertain in the gray area whether businesses are prosperous or not, if they show a negative equity in the long time and its value increases, may threaten to enter the bankruptcy phase sooner. There is minimal dependence between the negative equity and the prosperity zone, from which it can be concluded that the negative equity will not significantly affect prosperous businesses. The value of the Pearson correlation coefficient between the mentioned elements corresponded to 0.08. The results are also confirmed by the graphical dependence, where an almost linear course of the negative equity and the bankruptcy zone and at the same time a different course of the prosperity zone and the gray zone can be seen (Figure 7). Based on Pearson's correlation analysis of businesses in individual groups of businesses classified according to the Altman Z score in the bankruptcy, gray and prosperity zones, we found the following dependencies. Businesses that showed negative equity in the period under review can be found to have a high positive correlation between negative equity and the bankruptcy zone. The value of the Pearson correlation coefficient between the stated items corresponded to 0.88, which shows a high positive correlation. It follows that if businesses are in a bankruptcy zone, negative equity may adversely affect their existence, as there is a threat of a lack of own resources to meet their liabilities. The value of the Pearson correlation coefficient in the case of negative equity and the gray zone is equal to −0.70, which is the threshold value between medium and high negative correlation. As the value of the businesses' negative equity in the gray zone decreases, the value of the Altman Z-score increases linearly, which means an improvement in the business financial situation. From the above, it can be said that in businesses located in the gray zone, higher negative equity may also negatively affect their operation. Although it is uncertain in the gray area whether businesses are prosperous or not, if they show a negative equity in the long time and its value increases, may threaten to enter the bankruptcy phase sooner. There is minimal dependence between the negative equity and the prosperity zone, from which it can be concluded that the negative equity will not significantly affect prosperous businesses. The value of the Pearson correlation coefficient between the mentioned elements corresponded to 0.08. The results are also confirmed by the graphical dependence, where an almost linear course of the negative equity and the bankruptcy zone and at the same time a different course of the prosperity zone and the gray zone can be seen (Figure 7).

Analysis of Equity and Performance of Businesses According to the IN05 Index
Based on the IN05 index, it can be stated that on average 66% of businesses in the Slovak Republic reporting a negative equity in the period of 2014-2018 face significant financial problems, i.e., they are in a bankruptcy zone. This percentage corresponds to an average of 37,464 businesses. On average, 19% (10,847 businesses) are in the prosperity zone, so it can be stated that these businesses form a certain value in the monitored period. For the remaining businesses, which average 15% (8432 businesses), we cannot determine with certainty whether they are prosperous or not, as they are in the gray zone. The number of businesses in the bankruptcy zone decreased every year, while in 2018 their number increased by less than 1% compared to 2017 (Figure 8).

Analysis of Equity and Performance of Businesses According to the IN05 Index
Based on the IN05 index, it can be stated that on average 66% of businesses in the Slovak Republic reporting a negative equity in the period of 2014-2018 face significant financial problems, i.e., they are in a bankruptcy zone. This percentage corresponds to an average of 37,464 businesses. On average, 19% (10,847 businesses) are in the prosperity zone, so it can be stated that these businesses form a certain value in the monitored period. For the remaining businesses, which average 15% (8432 businesses), we cannot determine with certainty whether they are prosperous or not, as they are in the gray zone. The number of businesses in the bankruptcy zone decreased every year, while in 2018 their number increased by less than 1% compared to 2017 (Figure 8). mation 2021, 12, x FOR PEER REVIEW 11 of 18 As with the Altman Z-score, the IN05 index also needs to examine the individual variables used to calculate it, as the analysis of financial performance was examined only in the case of businesses with a negative equity in the period under review. Based on the variable y1, we analyze the ratio of total assets to foreign resources, respectively how many units of assets represent one unit of liabilities. The average value of this variable during the monitored periods ranges from 0 to 1. The variable y2 represents the ratio of profit before taxes and interest expense, which is known as interest coverage. This indicator indicates how many times the total profit will cover interest payments, and the higher the value of the indicator, the higher its ability to pay the costs related to the use of a foreign capital. The average values of the mentioned indicator in the case of the analyzed businesses for the whole monitored period were negative, which means that analyzed businesses are not able to cover the costs associated with the foreign capital. The variable y3 in the case of the index IN05 is identical to the variable x3 in the Altman Z-score and represents the ratio of earnings before interest and taxes to total assets. As it is the same variable, its values are the same in both used models of financial performance and acquire positive values during the monitored periods. The penultimate variable y4 represents the ratio of total income to total assets and expresses how many units of income one unit of assets makes up. The turnover of assets depends mainly on the sector in which the business operates, for example, if we compare the industries and sectors in which services predominate, in the case of the industry businesses with a large asset base have, as a result services where it is not necessary to dispose of a high proportion of assets [37]. Although the examined businesses operate in various sectors, in the monitored periods the indicator of the ratio of total revenues and total assets acquired positive values. The last variable y5 is the ratio of total current assets to current liabilities, which expresses how many units of current assets make up one unit of current liabilities. The average values of this variable acquired positive numbers during the monitored periods (Figure 9). Although the variables y1, y3, y4 and y5 acquired positive values, the average value of the variable y2 significantly exceeded them, so if we analyzed the index IN05 only through the average values of individual variables, the examined businesses with negative equity would be in bankruptcy zone or in the gray zone. In the case of the analysis of individual variables from index IN05 separately for each business, a situation arises where businesses with a negative equity create value or are in the zone of prosperity. 18  As with the Altman Z-score, the IN05 index also needs to examine the individual variables used to calculate it, as the analysis of financial performance was examined only in the case of businesses with a negative equity in the period under review. Based on the variable y 1 , we analyze the ratio of total assets to foreign resources, respectively how many units of assets represent one unit of liabilities. The average value of this variable during the monitored periods ranges from 0 to 1. The variable y 2 represents the ratio of profit before taxes and interest expense, which is known as interest coverage. This indicator indicates how many times the total profit will cover interest payments, and the higher the value of the indicator, the higher its ability to pay the costs related to the use of a foreign capital. The average values of the mentioned indicator in the case of the analyzed businesses for the whole monitored period were negative, which means that analyzed businesses are not able to cover the costs associated with the foreign capital. The variable y 3 in the case of the index IN05 is identical to the variable x 3 in the Altman Z-score and represents the ratio of earnings before interest and taxes to total assets. As it is the same variable, its values are the same in both used models of financial performance and acquire positive values during the monitored periods. The penultimate variable y 4 represents the ratio of total income to total assets and expresses how many units of income one unit of assets makes up. The turnover of assets depends mainly on the sector in which the business operates, for example, if we compare the industries and sectors in which services predominate, in the case of the industry businesses with a large asset base have, as a result services where it is not necessary to dispose of a high proportion of assets [37]. Although the examined businesses operate in various sectors, in the monitored periods the indicator of the ratio of total revenues and total assets acquired positive values. The last variable y 5 is the ratio of total current assets to current liabilities, which expresses how many units of current assets make up one unit of current liabilities. The average values of this variable acquired positive numbers during the monitored periods (Figure 9). Although the variables y 1 , y 3 , y 4 and y 5 acquired positive values, the average value of the variable y 2 significantly exceeded them, so if we analyzed the index IN05 only through the average values of individual variables, the examined businesses with negative equity would be in bankruptcy zone or in the gray zone. In the case of the analysis of individual variables from index IN05 separately for each business, a situation arises where businesses with a negative equity create value or are in the zone of prosperity. Pearson's correlation analysis carried out between the negative equity and the business performance calculated according the IN05 index showed a low correlation between the negative equity and the prosperity zone, as well as the negative equity and the bankruptcy zone. In both cases, the value of the Pearson correlation coefficient ranged from 0.30 to 0.50, specifically in the case of the negative equity and prosperity zone, the Pearson correlation coefficient reached 0.47, and in the case of the negative equity and bankruptcy zone, its value was 0.40. Based on the above results, it can be stated that in the case of analyzing the financial performance of business according to the IN05 index, a negative equity will not have an impact on either prosperous business or those leading to bankruptcy. The fact that the IN05 index does not use the value of equity as in the case of the Altman Z-score also contributes to this statement. In the case of the analysis of the negative equity and the gray zone, the value of the Pearson correlation coefficient was equal to 0.08, which means a very low correlation, and thus the negative equity has no effect on business located in the gray zone ( Figure 10).

Comparison of Altman Z-Score and IN05 Index
Based on both selected models of evaluating the financial performance of businesses, it can be stated that businesses with a negative equity are in all three zones of performance evaluation, with most of them in the zone of bankruptcy. While in the case of the Altman Z-score, on average 69% of businesses are in the bankruptcy zone, in the case of the IN05 index, on average 66% of businesses are in the bankruptcy zone. Based on the results of the Altman Z-score, an average of 18% of businesses are in the prosperity zone, which is Pearson's correlation analysis carried out between the negative equity and the business performance calculated according the IN05 index showed a low correlation between the negative equity and the prosperity zone, as well as the negative equity and the bankruptcy zone. In both cases, the value of the Pearson correlation coefficient ranged from 0.30 to 0.50, specifically in the case of the negative equity and prosperity zone, the Pearson correlation coefficient reached 0.47, and in the case of the negative equity and bankruptcy zone, its value was 0.40. Based on the above results, it can be stated that in the case of analyzing the financial performance of business according to the IN05 index, a negative equity will not have an impact on either prosperous business or those leading to bankruptcy. The fact that the IN05 index does not use the value of equity as in the case of the Altman Z-score also contributes to this statement. In the case of the analysis of the negative equity and the gray zone, the value of the Pearson correlation coefficient was equal to 0.08, which means a very low correlation, and thus the negative equity has no effect on business located in the gray zone ( Figure 10). Pearson's correlation analysis carried out between the negative equity and the business performance calculated according the IN05 index showed a low correlation between the negative equity and the prosperity zone, as well as the negative equity and the bankruptcy zone. In both cases, the value of the Pearson correlation coefficient ranged from 0.30 to 0.50, specifically in the case of the negative equity and prosperity zone, the Pearson correlation coefficient reached 0.47, and in the case of the negative equity and bankruptcy zone, its value was 0.40. Based on the above results, it can be stated that in the case of analyzing the financial performance of business according to the IN05 index, a negative equity will not have an impact on either prosperous business or those leading to bankruptcy. The fact that the IN05 index does not use the value of equity as in the case of the Altman Z-score also contributes to this statement. In the case of the analysis of the negative equity and the gray zone, the value of the Pearson correlation coefficient was equal to 0.08, which means a very low correlation, and thus the negative equity has no effect on business located in the gray zone ( Figure 10).

Comparison of Altman Z-Score and IN05 Index
Based on both selected models of evaluating the financial performance of businesses, it can be stated that businesses with a negative equity are in all three zones of performance evaluation, with most of them in the zone of bankruptcy. While in the case of the Altman Z-score, on average 69% of businesses are in the bankruptcy zone, in the case of the IN05 index, on average 66% of businesses are in the bankruptcy zone. Based on the results of the Altman Z-score, an average of 18% of businesses are in the prosperity zone, which is

Comparison of Altman Z-Score and IN05 Index
Based on both selected models of evaluating the financial performance of businesses, it can be stated that businesses with a negative equity are in all three zones of performance evaluation, with most of them in the zone of bankruptcy. While in the case of the Altman Z-score, on average 69% of businesses are in the bankruptcy zone, in the case of the IN05 index, on average 66% of businesses are in the bankruptcy zone. Based on the results of the Altman Z-score, an average of 18% of businesses are in the prosperity zone, which is 1% less than in the case of the IN05 index, where an average of 19% of businesses are prosperous. The results are also similar for the gray zone, with the Altman Z-score being on average 13% of businesses in the gray zone and the IN05 index averaging 15% of businesses. The results differ in the case of a separate comparison of years, for example in the case of 2018, when the bankruptcy zone in the case of Alt-man's Z-score is the largest number of businesses, namely 70.73%, while in the case of IN05 index 65.09% are bankrupt in 2018. (Figure 11).
1% less than in the case of the IN05 index, where an average of 19% of businesses are prosperous. The results are also similar for the gray zone, with the Altman Z-score being on average 13% of businesses in the gray zone and the IN05 index averaging 15% of businesses. The results differ in the case of a separate comparison of years, for example in the case of 2018, when the bankruptcy zone in the case of Alt-man's Z-score is the largest number of businesses, namely 70.73%, while in the case of IN05 index 65.09% are bankrupt in 2018. (Figure 11). From the point of view of determining the dependence based on the calculation of the Pearson correlation coefficient for individual models, an important aspect is the use of the equity value indicator in Altman's Z-score and IN 05. In IN05 calculation, equity is not included and therefore the dependence of this indicator on the value of the negative equity in any zone (prosperity, gray, bankruptcy) is not confirmed. In the Altman Z-score, the determination of the dependence of the value of the negative equity was relevant, because a strong direct dependence (correlation coefficient 0.88) in the bankruptcy zone, a weaker indirect dependence in the gray zone (correlation coefficient -0.7) and almost no negative visibility in the prosperity zone.

Discussion
The prediction of bankruptcy or the prediction of financial distress has been a muchdiscussed topic in various countries around the world for several decades [64,65] and at the same time it is an essential and widely studied topic [66,67], which is receiving special attention [68]. Due to the instability of the economic environment, costs increase, and certain problems arise both for businesses and other parties, which are dependent either directly or indirectly on the activities or the very existence of these businesses, so it is for these stakeholders (business owners, potential investors, management, employees, creditors, government and others) important to monitor whether business is at risk of bankruptcy or not [69].
In the comparison of both models, it can be said that they belong to the most wellknown bankruptcy and creditworthiness models used in assessing the financial situation of businesses. Altman's Z-score is based on a comparison and analysis of financial data of bankrupt and non-bankrupt businesses. Altman's Z-score represents an opportunity to 18  From the point of view of determining the dependence based on the calculation of the Pearson correlation coefficient for individual models, an important aspect is the use of the equity value indicator in Altman's Z-score and IN 05. In IN05 calculation, equity is not included and therefore the dependence of this indicator on the value of the negative equity in any zone (prosperity, gray, bankruptcy) is not confirmed. In the Altman Z-score, the determination of the dependence of the value of the negative equity was relevant, because a strong direct dependence (correlation coefficient 0.88) in the bankruptcy zone, a weaker indirect dependence in the gray zone (correlation coefficient -0.7) and almost no negative visibility in the prosperity zone.

Discussion
The prediction of bankruptcy or the prediction of financial distress has been a muchdiscussed topic in various countries around the world for several decades [64,65] and at the same time it is an essential and widely studied topic [66,67], which is receiving special attention [68]. Due to the instability of the economic environment, costs increase, and certain problems arise both for businesses and other parties, which are dependent either directly or indirectly on the activities or the very existence of these businesses, so it is for these stakeholders (business owners, potential investors, management, employees, creditors, government and others) important to monitor whether business is at risk of bankruptcy or not [69].
In the comparison of both models, it can be said that they belong to the most wellknown bankruptcy and creditworthiness models used in assessing the financial situation of businesses. Altman's Z-score is based on a comparison and analysis of financial data of bankrupt and non-bankrupt businesses. Altman's Z-score represents an opportunity to evaluate the overall financial health of the business through a single number, the so-called Z-score. The advantages of the Altman Z-score include easy applicability and the success of bankruptcy prediction about two years before it took place [70]. The main disadvantage is its focus on industrial businesses. Nevertheless, its accuracy is sufficient [71].
The advantages of the IN05 index include a simple calculation, as the algorithms of the financial indicators represented in this model are transparent. At the same time, the model works with publicly available financial data for the business in the conditions of Slovakia, as well as the Czech Republic, the model can be used for businesses tradable and non-tradable on the capital market. The advantage of the IN05 index is also the unambiguity of the results, and therefore it is suitable for use as a supplement to other indicators [72]. It is also appropriate to use this model as part of various economic analyzes of the business situation, as it removes subjectivity in the selection of indicators and their significance. It is important to mention that using the IN05 index it is possible to assess business performance from two perspectives, namely from the creditor's point of view such as the threat of bankruptcy and from the point of view of ownership, including value creation. The disadvantage is that it combines the state of the business into one number, which prevents the identification of the area in which the business has problems, thus making it impossible to identify options for eliminating these problems. Although the IN05 index has excellent significance, it should be borne in mind that it is only a rough guide to estimate the overall performance of the business, but the IN05 index alone does not provide a detailed view of how this performance has been achieved [73].
The results of the analysis carried out on businesses established in Slovakia during 2014-2018 using two models for measuring financial performance show that in the case of Altman's Z-score, negative equity has a negative impact on businesses in the bankruptcy zone. Conversely, in the case of the IN05 index, where a low correlation between the negative equity and the zone of prosperity or bankruptcy has been identified, the negative equity will not have a negative impact on businesses located in these zones. Although we analyzed the financial performance only in businesses with a negative equity in the monitored periods, the results showed that these businesses include not only non-prosperous businesses and those for which we cannot determine with certainty whether they are prosperous or not, but also prosperous businesses. This is mainly because that several variables are used in the selected indicators for measuring financial performance. Altman's Z-score uses, among other things, the book value of equity, while in the index IN05 we do not find a single variable that deals with equity. For this reason, it would be appropriate to replace one of the variables in index IN05, for example the variable y 2 having the least weight, representing the ratio of profit before tax and interest, and to replace interest expenses with a variable showing changes in equity items due to distribution of profit or arrangement of loss of the previous accounting period [37], which will be the subject of further research. At the same time, the subject of the research will be a detailed analysis of the items needed to calculate the variables in both models as well as detailed equity items and their impact on business performance.

Conclusions
Equity is one of the business own resources available for a long time. From an accounting point of view, equity is the difference between assets and liabilities. The most important component of equity is the share capital, which is the sum of cash and non-cash contributions of all shareholders to the company. The share capital in the Slovak Republic must be created by limited liability companies in the amount of at least €5000, joint-stock companies in the minimum amount of €25,000 and simple companies for shares in the amount of at least €1. The share capital of the cooperative consists of a total of membership fees and its amount is at least €1250. The limited partnership does not directly follow from the Commercial Code the obligation to create share capital, but it sets a minimum amount of the limited partnership's contribution in the amount of €250 [30]. In addition to the share capital, the equity of business accounting entities consists of capital funds, valuation differences, funds created from profit, profit or loss for previous years and profit or loss for the accounting period after tax. If the equity reaches a negative value, it means that the amount of liabilities exceeds the amount of assets, or that the businesses assets are financed mainly through external resources representing liabilities. At present, a negative equity is a common phenomenon encountered by many businesses.
The aim of the article was to assess the impact of a negative equity on the performance of businesses established in the Slovak Republic for the period of 2014-2018 via two models of the financial performance evaluation, namely the Altman Z-score and the IN05 index. The subject of the research was all businesses operating during 2014-2018 in Slovakia, from which we excluded businesses in bankruptcy or restructuring proceedings as well as businesses for which we identified inconsistencies in reporting. Based on descriptive business statistics, we identified the maximum, minimum, average value and median of equity and profit after tax. The analysis shows that throughout the period under review, on average 68% (131,805) of businesses have positive equity, an average of 29% (56,742) of businesses have negative equity and an average of 3% (5335) of businesses have zero equity. Throughout the period under review, an average of 57% (110,512) of businesses reported a profit, an average of 38% (73,765) of businesses reported a loss and an average of 5% (9694) of businesses reported a zero profit.
The results of the Altman Z-score showed that in the monitored period, on average, 69% of (39,182) businesses with the negative equity are in bankruptcy, which means that these businesses have significant financial problems. At the same time, it can be stated that on average 18% (10,066) of businesses with the negative equity are in the zone of prosperity, and thus, despite showing negative equity, they are prosperous. The remaining businesses, on average 13% (7494), are in the gray area, so we cannot say with certainty whether they are prosperous or not. Similar results were shown by the second model, the IN05 index, where on average 66% (37,464) of businesses face significant financial problems, on average 19% (10,847) of businesses are in the prosperity zone and for the remaining businesses, on average 15% (8432) we cannot determine whether they are prosperous or heading for bankruptcy, as they are in the gray zone.
Based on Pearson's correlation analysis, it can be stated that in the case of assessing the financial performance of businesses according to the Altman Z-score, there is a high positive correlation between negative equity and the bankruptcy zone (0.88), i.e., negative equity has a significant impact on the performance of businesses in the bankruptcy zone and at the same time on their existence. A Pearson correlation coefficient of -0.70 was identified between the negative equity and the gray zone, which is the cut-off value for the medium and high negative correlations. It follows that, even in the case of businesses located in the gray zone, the negative equity may adversely affect their performance, while as the absolute value of the negative equity increases, the businesses performance decreases. On the contrary, as the absolute value of equity decreases, the performance of businesses increases. There is a low correlation between the negative equity and the prosperity zone (0.08), so the negative equity will not affect the performance of businesses in this zone. In the case of the performance evaluation according to the IN05 index, a low correlation can be identified between the negative equity and the prosperity zone (0.47), as well as between the negative equity and the bankruptcy zone (0.40). It follows from the above that the negative equity will not have a significant impact on prosperous and bankrupt businesses, which may be because that the IN05 index does not use the value of the equity, as in the case of the Altman Z-score. There is a very low correlation between the negative equity and the gray zone (0.08), so the negative equity will not affect businesses in the gray zone.
The models used in the analysis are among the most used in assessing the financial situation of the business and can be applied to conditions in the Slovak Republic and the Czech Republic. It is appropriate that both models be used in conjunction with other indicators to assess the financial situation of the business which responsibly determines the current situation and position of the business and to identify areas where the business has problems causing its poor financial health, and at the same time propose measures to address and eliminate these problems [60].
Based on the results of the analysis, it can be said that the examined businesses, which show negative equity during the monitored period 2014-2018, according to Altman's Z-score and IN05 index are in all three zones, i.e., in the zone of prosperity, bankruptcy, but also in the gray zone, while most businesses are in the zone of bankruptcy, specifically when using the Altman Z-score it is on average 69% (39,182) of businesses and in the index IN05 it is on average 66% (37,464) of businesses. Although these businesses with negative equity are in bankruptcy, they do not have to automatically terminate their activities. On the contrary, they should look for ways to improve their financial situation. The best solution for these businesses is to increase their equity by making a profit in the following accounting periods, when businesses can quickly reach the zone of prosperity, which we confirmed in the research. The same should be done for businesses with negative equity located according to the Altman Z-score and the IN05 index in the gray zone, namely an average of 13% (7494) of businesses according to the Altman Z-score and an average of 15% (8432) of businesses according to the IN05 index. Given that we cannot determine with certainty whether these businesses are prosperous or not, their object should be to strive for prosperity, which means that they should seek to increase their equity, with the best solution being as in the case of businesses in the bankruptcy zone, making a profit in subsequent accounting periods. Making a profit is the most important goal of all business accounting entities. Another way to improve the financial situation and bridge the period of crisis caused by external factors, such as the mortgage crisis, global pandemic situation or natural resource crisis, can be the use of innovative performance.
Funding: This research received no external funding.