economies Article Economic Evaluation of the Management of Municipal Firms at the Level of Rural Local Self-Governments (Case Study) Peter Agh l , Roman Vavrek 2 , Marek Dvorak 3 and Viera Papcunova 4 '5 '* 1 Department of Public Administration, Faculty of European Studies and Regional Development, Slovak Agriculture University in Nitra, 949 76 Nitra, Slovakia; peter_agh@yahoo.com 2 Department of Public Economics, Faculty of Economics, V§B—Technical University of Ostrava, 702 00 Ostrava, Czech Republic; roman.vavrek@vsb.cz 3 Department of Trade and Finance, Faculty of Economics and Management, Czech University of Life Sciences Prague, 165 00 Prague, Czech Republic; dvorakmarek@pef.czu.cz 4 Institute of Economics and Management, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, 949 74 Nitra, Slovakia 5 Department of Regional Economics and Administration, Faculty of Economics and Administration, Masaryk University, 602 00 Brno, Czech Republic * Correspondence: vpapcunova@ukf.sk; Tel.: +421-37-6408-725 check for updates Citation: A g h , Peter, Roman Vavrek, Marek Dvorak, and Viera Papcunova. 2021. Economic Evaluation of the Management of Municipal Firms at the Level of Rural Local Self-Governments (Case Study). Economies 9: 130. https://doi.org/ 10.3390/economies9030130 Academic Editor: Burcin Yurtoglu Received: 28 M a y 2021 Accepted: 25 August 2021 Published: 9 September 2021 Publisher's Note: M D P I stays neutral with regard to jurisdictional claims in published maps and institutional affil­ iations. [(g) 0 Copyright: © 2021 by the authors. Licensee M D P I , Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). Abstract: The municipality generally uses its property to perform self-governing functions, and public or business activities. In the conditions of the Slovak Republic, the municipality operates either as a legal entity in its own name or carries out business activities with the help of a contributory and budgetary organization or business firm established by the municipality. Revenues from business activities form an important part of the revenue of local self-government budgets. The aim of this paper was an economic evaluation of the management of municipal firms at the level of rural local self-governments in the conditions of the Slovak Republic on the basis of selected economic indicators. At the same time, we analyzed the relationship between selected economic indicators in relation to the size, lifespan and number of employees of the firm. The analysis was performed in the time period 2015-2019 on a sample of municipal firms at the level of rural local self-governments. For the analysis, we used selected mathematical-statistical methods (Shapiro-Wilk test, Kruskal-Wallis test, and regression analysis). The analysis showed that the differences in the profitability of municipal firms from the point of view of the region in which they operate as well as from the point of view of the number of employees is not statistically significant. Statistical significance was not demonstrated even within the volume of revenue of municipal firms from the point of view of the region in which the municipal firm operates. The volume of revenues of municipal enterprises with the population of the municipality as well as the length of time of operation on the market is growing, but these are not the only factors on which these results depend. Keywords: municipal firms; business; economic evaluation; local self-government; rural municipalities 1. Introduction In several countries, especially in western and central Europe, local self-government is independent, and direct state interference in its competences is prohibited (Aleksee 2013). However, Zhang et al. (2020) note that when local self-governments have sufficient fiscal autonomy, decentralizing fiscal power to sub-provincial governments is found to have a greater impact on increasing marketization and market efficiency. Moreover, in the environment of modern liberal democracies, there is an ever-increasing trend towards the application of the subsidiarity system (Levický et al. 2019; Pauličková 2010). O n the other hand, there is a theory that the provision of financial needs of local self-government should be set in proportion to the performance of its competencies and tasks (Oplotnik et al. 2012; Klimovský 2008). Revenues of self-governing budgets generated through Economies 2021, 9,130. https://doi.org/10.3390/economies9030130 https://www.mdpi.com/journal/economies Economies 2021, 9,130 2 of 17 the use of the self-governing property for business purposes contribute to increasing the financial independence of local self-governments. In recent years, the business of local self-governments has proved to be one of the central interests of public administration worldwide. Local self-governments are expected to play a broad and proactive role in supporting local economic development, in addition to performing traditional public service functions. To achieve this, they must constantly innovate to attract talent and investment in the process of meeting the needs of the people in their jurisdictions through the provision of public services (Mei et al. 2016). According to Mbecke (2015), to define and generalize the phrase municipal business is not easy at all. According to him, conducting business in municipalities is not easy for two reasons. First, business is limited and still a subject of research. Second, the management of public services is also an area where much remains to be explored, including in the area of public sector business. Municipal business is a scientific discipline that seeks to understand the extent to which local self-governments and their representatives shape the discovery, creation, exploration, exploitation, and diffusion of new opportunities and the economic, social, and environmental consequences. Although public sector business capacities have not been comprehensively examined, it is worthwhile to start with some features that can contribute to the success of business at the local level. We can understand the business activity of the municipality in a narrower or broader sense. In a narrower sense, we can understand the combination of "municipal business" only as the municipality's own business activity. In a broader sense (from the point of view of using public property), we can also understand the business activity of legal entities established or funded by the municipality and legal entities in which municipalities participate with property as business deposit (Hudec 2011). By conducting business, municipalities secure part of their revenue, and at the same time, they create a competitive environment for other entrepreneurs. Municipal firms also participate in creating activities that are necessary for the municipality in terms of complexity. Gorzelak (2019) states that, in addition to revenue, municipal firms also directly create job opportunities for the inhabitants of the municipality in which the municipal firms have their registered office, which improves the overall image of the municipality. This is also confirmed by Babun (2020), who states that local self-government with adequate administrative and financial autonomy has the ability to find and attract labor power for municipal firms, which also ensures the growth of human capital in the area. Entrepreneurial activity enables municipalities to cooperate with other municipalities to solve development programs that they cannot implement from their own resources (e.g., construction and operation of a municipal solid waste landfill). This form of using municipal property can be decided by the municipal council or the mayor. The municipality is obliged to set aside the property used for business, keep it in special records and to depreciate it in accordance with the accounting for the municipality's business activities. Decision making in the management of municipal property in the Slovak Republic is the competence of the municipal council and the mayor of the municipality, who can decide on the market method or non-market method of management. In the market method of management, local self-government prioritizes revenue generation with the main goal of strengthening the local budget. In non-market management, the local self-government uses the municipal property to fulfil its competencies arising from the law, while the social characteristics of the provided goods are preferred, and the generation of revenue has only a secondary role. According to Bumbalova et al. (2021), the main purpose of municipal firms should be to carry out economic activities in the public interest. O n one hand, this does not automatically exclude activities unrelated to the competences of self-government; on the other hand, self-government favors the achievement of social well-being over profitability. 2. Theoretical Background The theory of business emerging in the public sector is an unmistakable sign that it is difficult to draw the line between the private and public sectors. Additionally, the municipal firm is one of the elements that, by nature, are located at the intersection between Economies 2021, 9,130 3 of 17 these two sectors (Bumbalová 2011). This is also confirmed by Vinnari and Nasi (2008), who state that municipal firms in Finland are, therefore, explicitly at the intersection of private and public organizations, as they fulfill primary commercial objectives, are an integrated organizational unit of local self-government and are covered by local legislation. However, Pirošík (2014) notes that i n such a firm there may be a possible conflict of public and private interest. He states this in the example of Slovak municipal firms. Slovak legislation does not prohibit the combination of the performance of functions in the legislative and executive bodies of the municipality with activities in municipal firms. Although such a situation is often desirable, especially in the case of the mayor, as he is the statutory body of the municipality and bears direct responsibility for it, it is not possible to overlook the related problems that arise. These elements are contained in the concept of the socalled municipal firm, which Stoilova (2010) and Fil'a et al. (2020) define as an entity engaged in economic activities that are beneficial for society but unprofitable for the private sector; beneficial to the private sector, but cannot be implemented by that sector; natural monopolies. This is also confirmed by the research of Bumbalová and Balážová (2014), who note that approximately half of municipal firms are engaged in activities directly related to self-government competencies, and the other half of firms have differently oriented main subjects of activity. However, the direct provision of public services for the inhabitants, which were identified in the questionnaire as municipal services, was mentioned by only 9% of firms, another 13% stated a combination of municipal services and another focus. It follows that municipalities do not set up their municipal firms primarily for the purpose of providing services to the inhabitants, but search for ways to manage property (33% of firms), or try to generate their own funds through profits of firms operating in the market, outside the sphere of public services. This is also confirmed by Klimovský (2008), who notes that under certain conditions, municipal firms are governed by the motive of profit and competitiveness. This is also confirmed by Stoilova (2010), according to whom municipal firms are able to profitably produce goods and provide services and also compete in the conditions of the private sector. Another confirmation of this is by Clifton et al. (2010), who state that some municipal firms in Italy have managed to achieve such a degree of competitiveness that they have also penetrated global markets (e.g., energy companies from Milan and Brescia), and their stocks have appeared on the stock exchange. However, Bumbalová (2011) notes that in the case of municipal firms, the profitability aspect may not play a key role. Municipalities often seek to provide local public services for inhabitants through a municipal firm. It is precisely this role that is the base of these firms, as opposed to firms operating in a competitive private sector. The framework of the private sector, therefore, does not seem to be a completely satisfactory context for the placement of the term "municipal firm". It is in this context of several different views of the authors on the municipal firm that we decided to focus in our research on the profitability of municipal companies in terms of individual identification factors (region, number of employees, municipality size, and longevity). Hypothesis 1 (HI). We assume statistically significant differences in the profitability of municipal firms in terms of individual identificationfactors (a—region and b—number of employees). Hypothesis 2 (H2). We assume a statistically significant linear dependence of the profitability of municipal firms on individual identificationfactors (a—size of the municipality and b—longevity). Folster et al. (2016) adds that some municipalities have a large number of municipal firms, which on the one hand, provides private consumption and, on the other hand, competes with private firms or tries to push private firms out of the market. Nevertheless, it is possible to perceive a municipal firm from the point of view of building local self-government for several key reasons: they create stable and quality jobs for community members; they increase local economic stability by reducing local self-government dependence on private firms; they often provide goods and services to areas lacking access that are overlooked for profit-only service providers; they often provide goods and services Economies 2021, 9,130 4 of 17 to local people at a lower cost than providers providing profit-only services; they generate new local revenues that can be used for other self-government expenses; they often provide greater reliability transparency and democratic control than providers providing profit-only services (Community-Wealth O R G 2018). Achieving and adhering to all of the abovementioned principles is not an easy task in the environment of municipalities. From a theoretical point of view, these problems are dealt with in business theory, which is understood as a critique of the bureaucratic approach to public administration. The basis of this theory is to find a way to systematically avoid a collision between allocation economy and efficiency, on one hand, and inefficiency of use, on the other. The starting point is in the environment of business management (Osborne and Gaebler 1993). Kraftova (2002) devotes much of her own theory to a municipal firm, stating that it is an economic entity that provides products without a profit motive and without the driving force of market competition. O n the other hand, she argues that since these firms operate through the use of public resources, which are very limited, they need to be managed efficiently. Through the effectively implemented business activities of the municipality, it is possible to obtain additional resources to ensure the needs for the performance of self-government and the production of local public goods or services. Financial resources obtained from businesses can be reused in the expansion of the implemented business activities or in the expansion, reconstruction and modernization of municipal property (Takac 2006). Municipal firms are, therefore, a fundamental part of the business activities of municipalities. The business activity of the municipality represents a tool for creating suitable economic conditions for the development of business activities in the private sector (Orszaghova and Greganova 2018; Smutka and Steininger 2016). Arapis (2013) states that these firms have helped the government in various ways at all levels, including building infrastructure, stimulating economic growth, providing public services and diversifying government revenue sources. Grossi and Reichard (2008) state that the trend in several European countries is relatively high employment in municipal firms, e.g., in Germany, almost 50% of the municipality's labor power work in municipal firms, and in Italy, it is almost 30%. In Sweden, 34% of the total number of employees of state-owned enterprises work in municipal firms (PWC 2015). Valach and Bumbalova (2020) state that in the Slovak Republic, the largest group (51.23%) consists of municipal firms with less than 10 employees. Based on this indicator, such firms belong to so-called microfirms. In contrast, there are only five municipal firms with more than 250 employees. In this context, in our research, we focused on the evaluation of the sales of municipal companies in terms of individual identification factors (region, number of employees, municipality size and longevity). Hypothesis 3 (H3). We assume statistically significant differences in the sales of municipal firms in terms of individual identification factors (a—region and b—number of employees). Hypothesis 4 (H4). We assume a statistically significant linear dependence of the volume ofsales of municipalfirms on individual identification factors (a—municipality size and b—longevity). The establishment of a successful business in local self-governments is not only an ambitious but also an important step in maximizing the provision of services at the local level (Mbecke 2015). However, Rundesova (2008) expressed the opinion that many municipalities are in fact "forced" into business activities, which means that they allegedly carry out business activities "voluntarily by force", although ultimately, they increase their welfare. Therefore, according to Halasek et al. (2002), it is necessary for municipalities to make very careful decisions about the business activities of municipalities. The municipal authorities should have access to an analysis of the management of the municipal firm in order to reduce the level of risk to a minimum so that the property of the municipality invested in the joint venture is not impaired. Bumbalova (2011) notes that, among the most frequently used organizational and legal forms of entities that municipalities base on the implementation of business activities, are limited liability companies and joint stock companies. Valach and Bumbalova (2020) state that the vast majority of Slovak Economies 2021, 9,130 5 of 17 municipal firms have the legal form of a limited liability company, while in more than 60%, their capital does not exceed E U R 50,000. Sykora (2021), however, adds that the municipality is not obliged to create a specific liability company or joint stock company as a legal entity for the performance of business activities. Kuoppakangas (2013) also adds that, in accordance with legislation and policies adopted at the municipal level, these firms can use their own resources to support their development goals, even without the consent of the political actors involved, but only within the limits explicitly stated in the statutes. However, according to Kalihak (2016), it is important to emphasize that the purpose of the business activities of municipal firms should not only be financial profit, but also non-financial profit. This means that their activities should increase the scope and quality of services provided in the framework of public benefit activities. Among some of the benefits of setting up a municipal firm according to Ledecky et al. (2014) are the cheapening and improvement of public services; emergency workers are "always at hand" in case of accidents and emergencies; a source of interpersonal relationship; irreplaceable help in organizing cultural sports and social life; starting and improving the business environment; the use of municipal resources; and the fact that the municipal firm is an important part of the development of the municipality. O n the other hand, Roncak and Mateickova (2011) claim that the area of municipal firms is one of the areas that is the least controlled by the public. This increases opportunities for corrupt and non-transparent behavior (e.g., the process of creating firm bodies, rules for hiring firm employees, the method of public procurement and prices of selected commodities) of representatives of municipal firms. 3. Methodology In the conditions of the Slovak Republic, the municipality can conduct business activities as a legal entity in its own name (mainly in the case of smaller municipalities), with the help of a contributory/budgetary organization, or as a business firm established by the municipality. The municipality can also use its property to support the business activities of other entities located in its territory. The aim of this paper was the economic evaluation of the management of municipal firms at the level of rural local self-governments under the conditions of the Slovak Republic on the basis of selected available economic indicators—profitability and volume of sales. At the same time, we analyzed the relationship between these economic indicators and the size of the firm, longevity, or number of employees. For this purpose, we set research hypotheses, through which we tested the relationships between individual factors or differences based on them. To answer the research question using the second economic indicator (volume of sales), one research hypothesis (H2) is defined, which is verified by means of four partial hypotheses focusing on individual identification factors as follows: The individual hypotheses are processed in a dataset of 137 municipal firms with the following characteristics (see Table 1). Table 1. Description of the selected variables. Variable Year Average Median Coefficient of Variance (%) Range 2015 10,796 626 558.42 649,672 2016 13,680.7 872 524.98 651,041 Profit 2017 13,342.7 798 572.60 875,153 2018 12,021.1 852 652.28 704,251 2019 8299.64 131 906.48 668,581 2015 238,182 80,129 146.24 1.87 x 106 2016 245,704 89,364 142.69 1.83 x 106 Sales 2017 260,714 94,816 148.43 1.93 x 106 2018 275,617 87,213 152.65 2.43 x 106 2019 271,957 86,234 155.57 2.51 x 106 Source: own processing. Economies 2021, 9,130 6 of 17 Defining individual research hypotheses determines the apparatus of mathematicalstatistical methods that are used for their evaluation. The basis was the verification of the normal distribution by means of the Shapiro-Wilk test (see Vavrek et al. 2020): sw = — ( £ > _ 2 (1) E uf E (xi - x) where: inconstant; x,value of z'-th statistical unit; xaverage value of variable. Due to the nature of the data for the evaluation of partial hypotheses (HI a, H l b , H3a, H3b), the Kruskal-Wallis test was used: 12 1 T2 Q=~( T T E - - 3 ( M + 1 ) (2) n(n — 1) r-rf n,where: nnumber of observations and sample size, respectively; wmumber of observations in z'-th group; T?total number of orders in the z'-th group. Due to the nature of the data for the evaluation of partial hypotheses (H2a, H2b, H4a, H4b), a simple regression linear model calculated using the least squares method was used, while the explanatory value of the regression linear model thus created was verified using the coefficient of determination: R2 = g = 1 fo-ft) (3) E L i (yr-yf where: y,measured value of dependent variable; ^estimated value of dependent variable; ^estimated value of dependent variable. A l l analyses and calculations were processed using M S Excel, Statistica 13.4 and Statgraphics XVIII. The reason for choosing rural municipalities is the fact that according to the O E C D , the Slovak Republic is a rural country and the majority of the population lives in the countryside. This is also confirmed by Table 2, which shows that of the total number of municipalities in the Slovak Republic (2890), rural municipalities make up 95.33%, which represents 2755 municipalities out of the total number. There are 2,526,748 inhabitants i n rural municipalities, who represent 46.30% of the total inhabitants of the Slovak Republic. Table 2. Number of municipalities and number of inhabitants in municipalities in Slovak Republic on 31 December 2019. Size Group Number of Municipalities Number of Inhabitants 199 inhabitants or less 415 51,743 From 200 to 499 inhabitants 710 247,719 From 500 to 999 inhabitants 755 538,214 From 1000 to 1999 inhabitants 570 800,062 From 2000 to 4999 inhabitants 305 889,010 From 5000 to 9999 inhabitants 63 425,207 From 10,000 to 19,999 inhabitants 34 480,213 From 20,000 to 49,999 inhabitants 28 799,759 From 50,000 to 99,999 inhabitants 8 549,627 From 100,000 and more inhabitants 2 676,319 Total number of municipalities 2890 5,457,873 Total number of municipalities up to 5000 inhabitants (rural municipalities) 2755 2,526,748 % share of municipalities up to 5000 95.33 46.30 inhabitants on total number of municipalities 95.33 46.30 Source: Statistical Office of the Slovak Republic, own processing. Economies 2021, 9,130 7 of 17 In addition to being a rural country, the Slovak Republic is also characterized by a fragmented settlement structure (see also Vavrek 2015). This is also confirmed by Table 3, which shows that in terms of the number of small municipalities with less than 5000 inhabitants, most of them are located in the Prešov region, while the least rural municipalities are in the Bratislava region. The presence of a large number of small rural municipalities also has an impact on the overall economy of the region. In the Bratislava region, where the least small municipalities are located, the largest regional GDP per capita is generated. The Prešov region, with the largest number of municipalities with less than 5000 inhabitants, generates three times less regional GDP compared to the Bratislava region. Table 3. Demographic and economic characteristics of Slovak regions on 31 December 2019. Region Number of Rural Municipalities Number of Inhabitants in Rural Municipalities Number of Municipal Firms in Rural Municipalities Regional GDP (EUR Million) Regional GDP Per Inhabitant (EUR) Bratislava region (BA) 61 110,955 14 26,379.564 50,428.546 Trnava region (TT) 236 308,038 34 10,840.655 24,395.099 Trenčín region (TN) 261 277,048 50 8109.887 17,600.876 Nitra region (NR) 337 360,407 28 9940.255 18,697.530 Žilina region (ZA) 293 337,077 34 10,658.802 19,578.118 Banská Bystrica region (BB) 496 315,705 58 8175.239 16,064.697 Prešov region (PO) 646 451,834 61 8753.769 13,468.749 Košice region (KE) 425 365,684 39 11,007.006 17,459.668 Source: Statistical Office of the Slovak Republic, own processing. In these rural municipalities (up to 5000 inhabitants), a total of 318 municipal enterprises were registered in 2021, based on data from the Register of Financial Statements. Most municipal firms were based in the Prešov region, and the least number in the Bratislava region. However, the base file database also included municipal firms with an incomplete range of data, municipal firms in bankruptcy or municipal firms that have already ceased to exist. For this reason, we decided to analyze a sample of municipal firms in the time period 2015-2019. A sample consisting only of municipal firms that fulfilled the following parameters was used: data are available for the entire reference time period 2015-2019; the entity is not in bankruptcy; the subject did not cease to exist on 1 January 2021 and is performing its activity, i.e., is active. The number of municipal firms which fulfilled all of the abovementioned parameters was 137. 4. Results and Discussion In the conditions of Slovakia, the municipality as a legal entity has the right to conduct business through any form in accordance with act no. 513/1991 Coll.—Commercial Code as amended. Pursuant to the provisions of the Commercial Code, as of its entry into force on 1 January 1992, commercial firms may also be established by municipalities. The municipality can establish a business firm as the sole shareholder or as the sole companion. In such a case, the competence of the general meeting is performed by the statutory body of the municipality, which is the mayor of the municipality. The advantage of this form of management is that the municipality, based on the use of its own property for business purposes, can simultaneously ensure revenues to the municipal budget and also solve the problem of unemployment. The problem with this form of conducting business with municipal property is the big concentration of decision-making power of the mayor, who, on the one hand, acts as the statutory body of the municipality and, on the other hand, acts as the statutory body of the firm. It follows that, in the process of such a two-pronged decision, he may give priority to his private interest over the public interest. This form of business can lead to the targeted privatization of municipal property. In practice, only capital firms are appropriate for municipalities. According to the Commercial Code, a limited liability company can also be established by one person, and the company can have a maximum of 50 partners. The company is responsible for its liabilities with all its assets, and the partner is liable for the company's liabilities up to the amount of its Economies 2021, 9,130 8 of 17 unpaid deposit entered in the Commercial Register. The value of the share capital must be at least EUR 5000; this share capital consists of cash and non-cash deposits, and the value of the shareholder's contribution must be at least E U R 750. If the company is founded by one founder, the base is a founding agreement; if there are several founders, then a partnership agreement is written. In the case of the participation of a municipality in such a company, the founding or social contract is signed by the mayor only with the consent of the municipal council. In this context, we consider it necessary to state that in some companies in which the municipality has an ownership interest, a larger number of partners in the position of various natural and legal persons can participate. Several companies are also registered, where only municipalities are the exclusive partners, in various numbers. A n example of a large number of partners can be a company registered by the District Court of Nitra, which unites up to 12 municipalities, and whose subjects of business are mainly activities necessary for municipalities, e.g., waste management, construction activity, operation and maintenance of water supply and sewerage network. Other companies are registered by the District Court of Kosice I, which concentrates 18 municipalities and whose subject of business is, in addition to waste management and production (Hudec 2011). Although these companies operate in a competitive market environment, their important mission is often to provide services to the population. Their purpose is not only financial gain, but also non-financial profit. This means that, in addition to financial gain, their activities can increase the scope and quality of services provided in the framework of public benefit activities. However, if they focused only on providing services to the inhabitants, and managing loss, the result would be the devaluation of municipal property and eventual bankruptcy. The profitability of municipal firms in individual regions of the Slovak Republic in 2019 is shown in Figure 1. We can observe differences mainly at the level of individual entities, not the group as a whole, which captures the occurrence of remote (or extreme) observations in all regions except the Bratislava region (BA). 670.000 470,000 —i o *g 270,000 & 70,000 -130,000 B A TT NR TN B B Z A PO K E Region Figure 1. Profitability of municipal firms: by region, 2019 (hypothesis la). Source: own processing. Statistically significant differences using the Kruskal-Wallis test (Table 4) indicate a different situation in the individual analyzed years, while in 2018 and 2019, the differences between the regions were not demonstrated. Figure 2 shows the profitability of municipal firms according to the number of employees in 2019 (or size groups). The majority of firms are relatively balanced, but graphic differences can be identified in the number of remote (or extreme) values in individual groups, and in the municipal firms with significantly better or worse results compared to the results of others in the given size group. Economies 2021, 9,130 9 of 17 Table 4. Results of verification of research hypothesis la. Year Kruskal-Wallis Test 2015 Q == 9.106; p =0.245 2016 Q == 21.024; p<0.05 2017 Q =--16.180; p <0.05 2018 Q =-- 0.229; p =0.265 2019 Q =-- 3.920; p =0.799 Source: own processing. 670,000 470,000 s .g 270,000 c 70,000 -130.000 < 10 10-19 20-50 not identified Size groups of employees Figure 2. Profitability of municipal firms by number of employees in 2019 (hypothesis lb). Source: own processing. Differences in the mean value of profitability of individual groups of municipal firms (using the Kruskal-Wallis test) proved to be statistically significant only in the first of the evaluated years—in 2015. In other years, we did not register differences between municipal firms (see Table 5). Table 5. Results of verification of research hypothesis lb. Year Kruskal-Wallis Test 2015 Q = 9.639; p < 0.05 2016 Q = 6.879; p = 0.075 2017 Q = 4.807; p = 0.186 2018 Q = 7.508; p = 0.057 2019 Q = 2.754; p = 0.431 Source: own processing. Based on the above, it is not possible to confirm partial research hypothesis la, which means that differences in the profitability of municipal firms from the point of view of the region in which the municipal firm operates are not statistically significant. The same conclusion can also be stated in the case of partial research hypothesis l b , when the differences in the profitability of municipal firms in terms of the number of employees are also not statistically significant. Based on this evaluation of partial research hypotheses l a , lb, we also reject research hypothesis 1. In partial research hypothesis 2a, we assume the dependence of the profitability of municipal firms on the size of the municipality i n which the municipal firm is located, while the degree of this dependence i n 2019 is shown in Figure 3. This dependence can be expressed by a linear regression model with Profit = 0.92936 x number inhabitants (R2 = 0.09%). I Economies 2021, 9,130 10 of 17 670,000 F 470,000 ™ 270,000 70,000 -130,000 4000 6000 Number of inhabitants 10,000 Figure 3. Dependence of profitability of municipal firms on the size of the municipality in 2019 (hypothesis 2a). Source: own processing. In the individual analyzed years 2015-2019, we observe similar results, while each time the dependence of profitability on the number of inhabitants is positive, it means as the population of the municipality grows, so does the profitability of municipal firms in this municipality (Table 6). However, the regression models themselves reach a low significance value expressed by the coefficient of determination. Table 6. Results of verification of research hypothesis 2a. Year Linear Regression Function R2 (%) 2015 Profit = 3.1774 x number of inhabitants 1.70 2016 Profit = 3.88885 x number of inhabitants 1.78 2017 Profit = 3.54442 x number of inhabitants 1.32 2018 Profit = 1.61885 x number of inhabitants 0.26 2019 Profit = 0.92936 x number of inhabitants 0.09 Source: own processing. Within the second partial research partial hypothesis 2b, we assume an increase in profitability together with an increase in the time of operation of the municipal firm on the market—its longevity. The results in 2019 shown in Figure 4 and the regression function P2019 = 1-84035 x longevity indicate a positive dependence, which is, however, influenced by other factors that are not included in this model (R2 = 2.74%). 670,000 - 470,000 - <3\ 270,000 O 70,000 -130,000 4000 6000 8000 Loneevitv 10,000 12,000 Figure 4. Dependence of profitability of municipal firms on its longevity in 2019. (hypothesis 2b). Source: own processing. Economies 2021, 9,130 11 of 17 As in the previous case, in the individual analyzed years, 2015-2019, we can see similar results, while each time the dependence of profitability on the longevity of municipal firms on the market is positive, this means that the number of days a municipal firm operates on the market increases its own profitability (Table 7). Such an interpretation of the results is also influenced by their low explanatory power, as the variability of the dependent variable is significantly influenced by other factors. Table 7. Results of verification of research hypothesis 2b. Year Linear Regression Function R2 (%) 2015 Profit = 2.11042 x longevity 5.49 2016 Profit = 2.55875 x longevity 5.67 2017 Profit = 2.19967 x longevity 3.72 2018 Profit = 2.37349 x longevity 4.14 2019 Profit = 1.84035 x longevity 2.73 Source: own processing. Based on the above, especially very low values of the coefficient of determination (R2 ), it is not possible to confirm the linear dependence of the profitability of municipal firms on the size of the municipality in which the municipal firm is located, and so partial research hypothesis 2a cannot be confirmed. We also observe very low values of the coefficient of determination in the case of the second partial research hypothesis 2b, so similarly, partial research hypothesis 2b cannot be confirmed. Based on this evaluation of partial research hypotheses 2a, 2b, we also reject research hypothesis 2. The volume of sales of municipal firms in 2019 by individual regions is shown in Figure 5. With the exception of the Bratislava region (BA), we observe municipal firms in each of the regions, whose results deviate from other results in individual regions, which can be described as remote and extreme values, respectively. 3.000.000 2,500.000 g 2.000.000 .a J 1.500,000 vi 1.000,000 500,000 0 B A TT N R T N B B Z A PO K E Region Figure 5. Volume of sales of municipal firms by region, 2019 (hypothesis 3a). Source: own processing. The occurrence of such municipal firms with different results persists across the years 2015 to 2019, which we label as homogeneous. The differences between the individual regions did not prove to be statistically significant or stable, which we deduce from the absolute values captured in Table 8. Based on Figure 6, we can state that with the growth of the number of employees (size group), the volume of sales of municipal firms also increases. The results, with the exception of the first group (up to 10 employees), are relatively balanced, as we do not observe the occurrence of remote (or extreme) results. Economies 2021, 9,130 12 of 17 Table 8. Results of the verification of research hypothesis 3a. Year Kruskal-Wallis Test 2015 Q = 12.015; p = 0.100 2016 Q = 12.274; p = 0.091 2017 Q = 11.775; p = 0.108 2018 Q = 10.407; p = 0.166 2019 Q = 10.043; p = 0.186 Source: own processing. 3.000,000 2,500,000 ~ 2.000,000 .5 JS 1,500,000 "ro 1,000,000 500,000 0 < 10 10-19 2 0 - 5 0 not identified Size groups of employees Figure 6. Volume of sales of municipal firms by number of employees in 2019 (hypothesis 3b). Source: own processing. Differences in the mean value of the volume of sales of individual size groups (using the Kruskal-Wallis test) proved to be statistically significant in each of the evaluated years, 2015, 2016, 2017, 2018 and 2019. The size of the municipal firm is, therefore, a factor influencing the volume of sales (see Table 9). Table 9. Results of verification of research hypothesis 3b. Year Kruskal-Wallis Test 2015 Q = 74.183; p < 0.05 2016 Q = 89.893; p < 0.05 2017 Q = 87.801; p < 0.05 2018 Q = 86.206; p < 0.05 2019 Q = 87.100; p < 0.05 Source: own processing. Based on the above, it is not possible to confirm partial research hypothesis 3a—the differences in the volume of sales of municipal firms from the point of view of the region in which the municipal firms operate are not statistically significant. The exact opposite conclusion can be stated in the case of research hypothesis 3b—the differences in the volume of sales of municipal firms in terms of the number of employees are statistically significant. Therefore, based on the evaluation of partial research hypotheses 3a, 3b, it is not possible to unequivocally reject or confirm research hypothesis 3. This conclusion is also confirmed by the research of municipal firms in Sweden. Municipalities in this country employ on average 18% of the country's total workforce. In some municipalities, where municipal firms focus on social services in relation to the elderly or children, this share can be much higher, even at the level of 30%. If municipalities do not create municipal firms, but create conditions for business activities of private firms, this share is much lower. However, in such a case, there is no statistically significant correlation between employment in municipalities and employment in the vicinity of the municipality in terms of population density (Folster et al. 2016). The situation is similar in all historical regions of Poland, Economies 2021, 9,130 13 of 17 where more than four-fifths of local self-governments have taken measures to increase the number of local jobs, two-fifths of which were municipalities in Greater Poland. This area thus pursued a more dynamic development policy through the development of municipal business activity (Gorzelak 2019). Within partial research hypothesis 4a, we assume the dependence of the volume of sales of municipal firms on the size of the municipality in which the municipal firm is located (as well as in the case of their profitability). The degree of this dependence in 2019 is shown in Figure 7, while it can be expressed by a linear regression model with a function i n the form S2019 = 85.1138 x number of inhabitants of the municipality (R2 = 18.07%). 3,000,000 2,500,000 2 2,000,000 0 r j 1 1,500,000 v ^' 1,000,000 500,000 0 0 2000 4000 6000 8000 10,000 Number of inhabitants Figure 7. Dependence of profitability of municipal enterprises on the size of the municipality in 2019 (hypothesis 4a). Source: own processing. In the individual analyzed years, 2015-2019, we observe similar results, while each time the dependence of profitability on the number of inhabitants is positive, it means that with the growth of the population in the municipality, the volume of sales of municipal firms in this municipality is also growing (Table 10). L o w values of the coefficient of determination (R2 ) indicate that the volume of sales of municipal firms is significantly influenced by other factors, not only the number of inhabitants in the municipality. Table 10. Results of verification of research hypothesis 4a. Year Linear Regression Function R2 (%) 2015 Sales = 76.7863 x number of inhabitants 20.89 2016 Sales = 79.7422 x number of inhabitants 21.88 2017 Sales = 81.4638 x number of inhabitants 19.23 2018 Sales = 88.4628 x number of inhabitants 19.51 2019 Sales = 85.1138 x number of inhabitants 18.07 Source: own processing. The second partial research hypothesis 4a assumes an increase in the volume of sales together with an increase in the time of operation of the municipal firm on the market—its longevity. The results in 2019 shown in Figure 8 and the regression function S2019 = 42.5075 x longevity illustrate positive dependence, which, however, can be marked as partial (R2 = 33.02%). In the case of partial research hypothesis 4b, we can see similar results in the individual analyzed years, 2015-2019, while the dependence of the volume of sales on the time of operation on the market (longevity of municipal firm) is significantly positive. A s the number of days a municipal firm operates on the market increases, so does its profitability (Table 11). Economies 2021, 9,130 14 of 17 3,000,000 2,500,000 2 2,000,000 0 cs 1 1,500,000 M 1,000,000 500,000 0 0 2000 4000 6000 8000 10,000 12,000 Longevity Figure 8. Dependence of the volume of sales of municipal firm on its longevity in 2019 (hypothesis 4b). Source: own processing. Table 11. Results of verification of research hypothesis 4b. Year Linear Regression Function R2 (%) 2015 Sales = 38.0766 x longevity 37.63 2016 Sales = 38.5564 x longevity 37.48 2017 Sales = 40.6697 x longevity 35.11 2018 Sales = 43.1727 x longevity 34.05 2019 Sales = 42.5075 x longevity 33.02 Source: own processing. Based on the above, especially the very low values of the coefficient of determination (R2 ), it is not possible to confirm the linear dependence of the volume of sales of municipal firms on the size of the municipality in which the municipal firm is located. Therefore, partial research hypothesis 4a cannot be confirmed. The same conclusions are drawn in the case of the second partial research hypothesis, when we observe low values of the coefficient of determination, so partial research hypothesis 4b cannot be confirmed. The volume of sales of municipal firms with the population of the municipality as well as the time of operation on the market is growing, but these are not the only factors on which these results depend. Based on such an evaluation of partial research hypotheses 4a, 4b, we also reject research hypothesis 4. 5. Conclusions In the Slovak Republic, rural areas represent 86% of the territory in which 43% of the population live. It is a heterogeneous area in which natural, human and economic resources are used. The Slovak countryside is characterized by a highly diverse physical environment, a wide range of economic activities, a characteristic network of social relations and centuries-old cultural traditions. Economic activities in rural municipalities are developed not only by the private sector, but also by the municipalities themselves through their municipal firms. Analyses showed that in 2021, 318 municipal firms had their headquarters in rural municipalities. In the analysis of mutual relations of the most important economic indicators, profit and sales and number of employees, longevity or size, we found that differences in the profitability and sales volume of municipal firms from the perspective of the region in which the municipal firm operates are not statistically significant. It is also not possible to confirm the linear dependence of the profitability of municipal firms on the size of the municipality in which the municipal firm is located. However, it is possible to confirm the positive dependence between the growth of the population of the municipality and the growth of sales of municipal firms based in this municipality. However, low values of the coefficient Economies 2021, 9,130 15 of 17 of determination (R2 ) indicate that the volume of sales of municipal firms is significantly affected by other factors, not only the number of inhabitants of the municipality. The results of the analysis confirm the fact that general enterprises are specific in comparison with traditional business entities, and it is not possible to analyze them with the general common ratio indicators of financial analysis, such as profitability indicators: ROE and ROA; indicators of activity; indicators of indebtedness; market value or liquidity. These indicators are of large importance from the point of view of comparing business entities, but from the point of view of municipal firms, they are not sufficiently informative, as the reasons for establishing municipal enterprises are different from those of commercial firms. While the business sector creates firms that it knows will make a profit as they provide services and goods that are in demand, it is different for municipal firms. Municipal firms often also provide services that the private sector does not want to provide precisely due to low profitability (e.g., small community services). Municipal firms are established primarily for the purpose of providing services to the population and creating jobs, and only then are they created for profit. The profit and revenue indicators that we analyzed in the case of municipal firms are important from the point of view of their sustainability, but also from the point of view of the financial management of municipalities. Through revenues, municipal firms cover their costs and thus reduce their dependence on the municipal budget, as in the event of a decrease in revenue, the municipality usually subsidizes such enterprises through subsidies from its budget. There are similar differences in the case of profit. Part of the profit is invested by municipal firms and part of it flows into the municipal budget. In this way, municipal firms play a significant role in the socio-economic development of the municipality. Although the business activity of rural municipalities implemented through municipal firms enables revenues to the local budget, the area of business with municipal property is generally not given much attention under the conditions of the Slovak Republic. The reason for this is that there is no system for classifying firms owned by local self-governments. Likewise, legislation at the national but also at the local level does not recognize the concept of a municipal firm and its operation. The results of the analysis confirm that municipal firms are an important part of the local economy and, therefore, it would be appropriate to legislate the existence and functioning of municipal firms as a special form of business with local self-government property. A s inspiration for legislation, we recommend E U legislation, which defines the concept of a public firm in Articles 106 and 345, Treaty on the Functioning of the E U , as a firm over which public authorities have a direct or indirect dominant influence. The results of the analysis also showed that municipal firms, in addition to revenues to the local budget, also create employment in the municipality with a direct impact on local economic development. Nevertheless, insufficient information is available to assess social and other effects of municipal firms. Research in the field of municipal firms under the conditions of the Slovak Republic is still in its infancy. It can be assumed that in the future, other aspects of municipal business could be included in the model and examined, e.g., the Statistical Classification of Economic Activities is fully compatible with the European classification N A C E Revision 2 (SK NACE), property information, demographic data and macroeconomic data of individual regions or districts. By analyzing selected indicators, we aimed to highlight the specificity of business of municipal firms under the conditions of the Slovak Republic. The database for municipal firms is very limited, despite the fact that these firms are an important factor in the development of the territory. Therefore, in order to make the functioning of municipal firms more efficient, their activities and economic stability should be regularly monitored and evaluated, especially from the point of view of local development. Also, to clearly define the legislation adopted at the local level (resolution of the municipal council and principles on the disposal of municipal property), because the municipality's property creates not only economic but also social conditions in the municipalities. Economies 2021, 9,130 16 of 17 Author Contributions: Conceptualization, P.Á. and V.P.; methodology, R.V. and VP.; software, R.V.; validation, PÁ., R.V., M.D. and V P ; formal analysis, PÁ., R.V., M.D. and V P ; investigation, PÁ., R.V., M.D. and V P ; resources, PÁ., R.V., M.D. and V P ; data curation, R.V.; writing—original draft preparation, P.A., R.V., VP. and M.D.; writing—review and editing, P.A., R.V., M.D. and V P ; visualization, PA., R.V., M.D. and V.P; supervision, V.P and M.D.; project administration, PA. and V P ; funding acquisition, R.V. All authors have read and agreed to the published version of the manuscript. 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