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	<front>
		<journal-meta>
			<journal-id journal-id-type="publisher-id">bbr</journal-id>
			<journal-title-group>
				<journal-title>BBR. Brazilian Business Review</journal-title>
				<abbrev-journal-title abbrev-type="publisher">BBR, Braz. Bus. Rev.</abbrev-journal-title>
			</journal-title-group>
			<issn pub-type="epub">1807-734X</issn>
			<issn pub-type="ppub">1808-2386</issn>
			<publisher>
				<publisher-name>Fucape Business School</publisher-name>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="doi">10.15728/bbr.2020.17.4.3</article-id>
			<article-id pub-id-type="publisher-id">00003</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Article</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>An Analysis of Risk-Taking in Family Firms Listed in B3</article-title>
				<trans-title-group xml:lang="en">
					<trans-title>Uma Análise da Tomada de Risco em Firmas Familiares Listadas na B3</trans-title>
				</trans-title-group>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0003-4815-3658</contrib-id>
					<name>
						<surname>Voelcker</surname>
						<given-names>Gabriel</given-names>
					</name>
					<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0002-9097-7266</contrib-id>
					<name>
						<surname>Macagnan</surname>
						<given-names>Clea Beatriz</given-names>
					</name>
					<xref ref-type="aff" rid="aff1b"><sup>1</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0001-6303-0555</contrib-id>
					<name>
						<surname>Vancin</surname>
						<given-names>Daniel</given-names>
					</name>
					<xref ref-type="aff" rid="aff1c"><sup>1</sup></xref>
				</contrib>
			</contrib-group>
				<aff id="aff1">
					<label>1</label>
					<institution content-type="original">Universidade do Vale do Rio dos Sinos, São Leopoldo, RS, Brasil</institution>
					<institution content-type="orgname">Universidade do Vale do Rio dos Sinos</institution>
					<institution content-type="normalized">Universidade do Vale do Rio dos Sinos</institution>
					<addr-line>
						<named-content content-type="city">São Leopoldo</named-content>
                          <named-content content-type="state">RS</named-content>
					</addr-line>
					<country country="BR">Brasil</country>
					<email>gvoelcker@gmail.com</email>
				</aff>
					<aff id="aff1b">
					<label>1</label>
					<institution content-type="original">Universidade do Vale do Rio dos Sinos, São Leopoldo, RS, Brasil</institution>
					<institution content-type="orgname">Universidade do Vale do Rio dos Sinos</institution>
						<institution content-type="normalized">Universidade do Vale do Rio dos Sinos</institution>
					<addr-line>
						<named-content content-type="city">São Leopoldo</named-content>
                          <named-content content-type="state">RS</named-content>
					</addr-line>
					<country country="BR">Brasil</country>
					<email>clea@unisinos.br</email>
				</aff>
					<aff id="aff1c">
					<label>1</label>
					<institution content-type="original">Universidade do Vale do Rio dos Sinos, São Leopoldo, RS, Brasil</institution>
					<institution content-type="orgname">Universidade do Vale do Rio dos Sinos</institution>
						<institution content-type="normalized">Universidade do Vale do Rio dos Sinos</institution>
					<addr-line>
						<named-content content-type="city">São Leopoldo</named-content>
                          <named-content content-type="state">RS</named-content>
					</addr-line>
					<country country="BR">Brasil</country>
					<email>daniel_vancin@hotmail.com</email>
				</aff>
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				<day>31</day>
				<month>07</month>
				<year>2020</year>
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				<pub-date pub-type="epub-ppub">
				 <season>Jul-Aug</season>
                <year>2020</year>
			</pub-date>
			<volume>17</volume>
			<issue>4</issue>
			<fpage>399</fpage>
			<lpage>418</lpage>
			<history>
				<date date-type="received">
					<day>15</day>
					<month>05</month>
					<year>2019</year>
				</date>
				<date date-type="rev-recd">
					<day>20</day>
					<month>09</month>
					<year>2019</year>
				</date>
				<date date-type="accepted">
					<day>12</day>
					<month>11</month>
					<year>2019</year>
				</date>
             <!--   <date date-type="pub">
					<day>1</day>
					<month>06</month>
					<year>2020</year>
				</date>-->
			</history>
			<permissions>
				<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="en">
					<license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution License</license-p>
				</license>
			</permissions>
			<abstract>
				<title>ABSTRACT</title>
				<p>This work analyses the statistical relationship between family firms and risk-taking. It seeks to contribute to the growing literature on family firms by reviewing the literature on the characteristics that distinguish them from non-family firms, aiming to innovate by approaching a less-used construct for this type of firm: risk-taking. The literature on both constructs is reviewed, using theoretical and empirical works to develop the following research hypothesis: tfamily firms are more averse to risk-taking than non-family firms. This hypothesis is tested empirically using econometrics procedures in a sample with 1188 observations from publicly traded companies listed on B3. The results indicate that the presence of family firms negatively affect risk-taking. Thus, it can be concluded that family firms seem to be less prone to risk-taking than non-family firms.</p>
			</abstract>
			<trans-abstract xml:lang="pt">
					<title>RESUMO</title>
				<p>O presente trabalho aborda a relação estatística entre firmas familiares e tomada de risco. Procura-se contribuir para a crescente literatura em firmas familiares ao realizar uma revisão da literatura das características que as distinguem de firmas não familiares, buscando inovar ao pesquisar um construto pouco trabalhado com esse tipo de firma: a tomada de risco. Revisa-se a literatura sobre ambos os construtos, utilizando pressuposto teórico e trabalhos empíricos para formular-se a seguinte hipótese de pesquisa: firmas familiares são mais avessas à tomada de riscos do que firmas não familiares. Essa hipótese é testada empiricamente através de procedimentos econométricos em uma amostra de 1188 observações de companhias de capital aberto listadas na B3. Os resultados indicam um efeito negativo da presença familiar na tomada de risco das firmas. Conclui-se que os resultados corroboram a hipótese de que firmas familiares seriam mais avessas à tomada de riscos que firmas não familiares. </p>
			</trans-abstract>
			<kwd-group xml:lang="en">
				<title>KEYWORDS</title>
				<kwd>Family firms</kwd>
				<kwd>Risk-taking</kwd>
				<kwd>Decision-making</kwd>
			</kwd-group>
				<kwd-group xml:lang="pt">
				<title>PALAVRAS-CHAVE</title>
				<kwd>Firmas familiares</kwd>
				<kwd>Tomada de risco</kwd>
				<kwd>Tomada de decisão</kwd>
			</kwd-group>
			<counts>
				<fig-count count="0"/>
				<table-count count="6"/>
				<equation-count count="8"/>
				<ref-count count="69"/>
				<page-count count="20"/>
			</counts>
		</article-meta>
	</front>
	<body>
		<sec sec-type="intro">
			<title>1. INTRODUCTION</title>
			<p>In Brazil, family firms represent more than 90% of the total market (<xref ref-type="bibr" rid="B40">Laruccia &amp; Matias, 2015</xref>), indicating the economic and social relevance of this organization profile and the role it plays in the country’s financial system (Moura et al., 2015). For this reason, recent research has given more attention to organizations classified as family members and the motivations of business families (<xref ref-type="bibr" rid="B10">Borges et al., 2012</xref>; <xref ref-type="bibr" rid="B9">Belmonte &amp; Freitas, 2013</xref>; <xref ref-type="bibr" rid="B55">Tres et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Costa et al., 2014</xref>).</p>
			<p>When the controlling shareholder or shareholders of a firm is a family or members of a family, it enables the business family to actively participate in the decisions made for it (<xref ref-type="bibr" rid="B21">de Vries, 1993</xref>). Ownership and involvement in the company’s operations influence decisions made by the firm in a particular way, leading to another dynamic of relationships (<xref ref-type="bibr" rid="B13">Casillas et al., 2011</xref>; <xref ref-type="bibr" rid="B51">Revilla et al., 2016</xref>).</p>
			<p>Among the most critical decisions a firm must make is risk-taking. Risk has been the object of study by economics, finance, and accounting researchers for decades, having implications in the most diverse spheres (<xref ref-type="bibr" rid="B43">Markowitz, 1952</xref>; <xref ref-type="bibr" rid="B57">Sharpe, 1964</xref>; <xref ref-type="bibr" rid="B35">John et al., 2008</xref>; <xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). Risk is defined for decision making as the uncertainty associated with the return that a choice provides (<xref ref-type="bibr" rid="B25">Fama, 1983</xref>; <xref ref-type="bibr" rid="B42">March &amp; Shapira, 1987</xref>). Risk-taking represents all risk decisions that managers make, not focusing on a specific type of risk, such as tax risk (<xref ref-type="bibr" rid="B35">John et al., 2008</xref>; <xref ref-type="bibr" rid="B24">Faccio et al., 2011</xref>).</p>
			<p>Risk-taking studies seek to understand the incentives that decision-makers responds to and how they may vary according to a range of factors (<xref ref-type="bibr" rid="B2">Amihud &amp; Lev, 1981</xref>; <xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). In the case of firms, the manager would be influenced by their personal preferences (<xref ref-type="bibr" rid="B25">Fama &amp; Jensen, 1983</xref>). This theoretical construct was formalized in Agency Theory - see Jensen and Meckling (<xref ref-type="bibr" rid="B34">1976</xref>), which adresses the various repercussions of the separation between control and property. Among them are the risk preferences of managers (<xref ref-type="bibr" rid="B23">Eisenhardt, 1989</xref>), who differently behave if they are also firm owners (in this case, business families) and non-external professionals whose relationship is only managing the firm.</p>
			<p>In this context, the objective of this research is to investigate whether family firms are more risk-averse than unfamiliar firms. We assume that family involvement in business decisions affects the way companies take risk. Due to the concentration of the business family equity invested in the firm, the firm chooses to prioritize the firm’s long-term survival over potential entrepreneurial opportunities that comprise risk. Also contributing to risk aversion is the preservation of family socio-emotional heritage, which contains several non-economic goals (<xref ref-type="bibr" rid="B39">Laffranchini &amp; Braun, 2014</xref>).</p>
			<p>This paper conducts empirical tests with a Brazilian sample to see if family firms are at higher risk than non-family firms. The econometric procedures seek to control several characteristics of the firm, having as a variable of interest a dummy that segregates the firms of the sample between family and non-family. The data collected comprised the period from 2010 to 2017 and were submitted to mean difference tests, regressions using Ordinary Least Squares, and an average treatment effects test, in which we paired firms by propensity score matching. The results obtained indicate that family firms take less risk than unfamiliar firms; that is, they would be more risk-averse.</p>
			<p>The relevance of this work is to add useful knowledge to both internal and external agents. Internally, we create new evidence about the impact of family presence on risk-taking decisions, which is helpful for both the self-knowledge of family business members and the managers who deal with them. In the external impact of the firm, we add knowledge to the nearly 600,000 active investors in B3 (Brazil Bolsa Balcão S.A.), Brazil’s stock exchange, who are interested in the profile of listed firms in which they can invest. It also differs in generating insights into the Brazilian market, which has an internationally relevant volume and trading value, while the revised literature has been devoted to analyzing markets with lower shareholder concentration and more excellent shareholder protection, such as in the US example.</p>
			<p>We divide the research into five chapters. The present one introduces the work and its structuring. The second deals with the literature review, which works the family firm and risk-taking constructs, culminating in the formulation of the hypothesis. The third chapter presents the methodology, describing in detail the empirical tests employed. The fourth presents and analyzes the results obtained by the method, while the fifth and last chapter presents the final considerations of the work.</p>
		</sec>
		<sec>
			<title>2. LITERATURE REVIEW</title>
			<sec>
				<title>2.1. Family Firms</title>
				<p>One of the challenges of literature related to family firms is to determine the criteria that characterize a firm as a family one (<xref ref-type="bibr" rid="B31">Handler, 1989</xref>). The image of a family business is commonly associated with a small structure organization, primarily as they represent the main form of business structuring in several countries of the world, including in Brazil (<xref ref-type="bibr" rid="B18">Costa et al., 2014</xref>). However, research attests to the presence of business families as controlling companies of large firms (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>).</p>
				<p>Defining what is a family business is a crucial step, and this is the first step to understand its operation (<xref ref-type="bibr" rid="B41">Litz, 1995</xref>). Also, a clear definition of family name allows for a better choice and standardization of the data used. For example, the statement that 90% of firms in Brazil are family-owned (<xref ref-type="bibr" rid="B40">Laruccia &amp; Matias, 2015</xref>) depends on the definition of what is a family firm. The description serves not only to elaborate on the characteristics that define the family firm but to facilitate the sampling and application of the methodology in empirical works such as the present. The reviewed literature has no consensus on requirements that, once fulfilled, configure an organization as a family business (<xref ref-type="bibr" rid="B31">Handler, 1989</xref>). What exists is a series of characteristics that underlie this definition, here revised to obtain the meaning to be used as a family name in this research.</p>
				<p>The first feature addressed is the controlling interest that the family has in the firm. We expect a family with a firm’s controlling capabilities to actively participate in its business to protect its interests (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>; <xref ref-type="bibr" rid="B51">Revilla, Pérez-Luño, &amp; Nieto, 2016</xref>). This involvement manifests itself when its members take senior management positions and/or serve on the firm’s board of directors. This implies that family presence may allow the manifestation of the particularities of the business family in a different behavior as managers. Studying these particularities helps analyz the incentives and motivations of the family firm’s functioning. Among these particularities, six stand out: the concentration of family financial equity, Family Socio-Emotional Heritage (FSH), the relationship between family members, long-term orientation, family succession, and retention of control.</p>
				<p>The concentration of family financial equity consists of the alignment of capital between the firm and business family. Because the firm is one of the essential parts of the business family’s life, given its inevitable involvement in the most diverse capacities, members of the business family tend to focus their investment position on the firm more than other managers or investors (<xref ref-type="bibr" rid="B50">Pukall,Calabrò). 2014</xref>). This undiversified position of the business family results in a differentiated attitude towards the decisions made (<xref ref-type="bibr" rid="B32">Huybrechts &amp; Voordeckers; Lybaert, 2013</xref>).</p>
				<p>The second characteristic of family firms concerning family equity is Family Socio-Emotional Heritage (FSH), a concept elaborated by (<xref ref-type="bibr" rid="B29">Gómez-Mejía et al., 2007</xref>) that includes the non-financial aspects of the firm. These meet the family’s affective needs with their firm, as the former has goals that are unrelated to the firm’s economic performance and may even be prioritized for the firm’s growth and profitability (<xref ref-type="bibr" rid="B12">Cater III &amp; Justis, 2009</xref>).</p>
				<p>Another factor addressed by the family firm literature is the relationship between family firm members, which influences the way strategic decisions are made in family firms (<xref ref-type="bibr" rid="B12">Cater; Justis, 2009</xref>). It is considered positive for the operation of the business that families facilitate communication and reduce bureaucracy in some relationships, allowing unique flexibility to their process based on relationships of trust and altruism (<xref ref-type="bibr" rid="B46">Miralles-Marcelo, Miralles-Quirós, &amp; Lisboa, 2014</xref>). In contrast, the distinct interests of each member of the business family and their long-term relationship can catalyze internal conflicts (<xref ref-type="bibr" rid="B33">Jayantilal, Jorge, &amp;Palacios, 2016</xref>). The family business is especially exposed to disagreement over the particular interests that the parties involved may have with family members or with the company and the history of their relationships.</p>
				<p>The fourth factor that is a particularity of family firms is long-term orientation, meaning that decisions are made with the long-term horizon of family firms in mind (<xref ref-type="bibr" rid="B50">Pukall &amp; Calabrò, 2014</xref>). The primary purpose of long-term guidance is to ensure the firm’s survival, as it is mostly in the business family’s interest to keep the firm under its control (<xref ref-type="bibr" rid="B44">Martínez-Ferrero, Rodríguez-Ariza, &amp; Bermejo-Sánchez, 2016</xref>).</p>
				<p>Family succession is the fifth characteristic that influences business families. Family firms often seek to preserve the business for the next generation (<xref ref-type="bibr" rid="B63">Zellweger, 2007</xref>). Family succession consists of the incumbent generation failing to actively participate in functions in the firm’s structure and to succeed, whether by its heirs or not (<xref ref-type="bibr" rid="B15">Chrisman, Chua, &amp; Steier, 2003</xref>).</p>
				<p>The sixth and last feature addressed is control retention. As previously explained, an integral part of the definition of a family business is the control that business families have (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>; <xref ref-type="bibr" rid="B44">Martínez-Ferrero, Rodríguez-Ariza, &amp; Bermejo-Sánchez, 2016</xref>). In addition to having control, it is in their interest to build a legacy and pass it on to future generations, so maintaining control becomes a priority (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B19">Cucculelli, Breton-Miller, &amp; Miller, 2016</xref>).</p>
				<p>These characteristics of the family firm predispose it to some peculiarities, especially as to which decisions will be made by managers (<xref ref-type="bibr" rid="B47">Naldi et al., 2007</xref>). Unlike the extensive literature on family firms, which seeks to analyze differences in performance when compared to unfamiliar firms, this paper aims to identify a distinct stance for family firms in the risk-taking construct.</p>
			</sec>
			<sec>
				<title>2.2. Risk-Taking</title>
				<p>In the research line that addresses risk, it is common to find studies on the behavior of agents about risk-taking (<xref ref-type="bibr" rid="B17">Coles et al., 2006</xref>). The risk for decision making refers to the probabilistic uncertainty of the returns derived from a choice (<xref ref-type="bibr" rid="B42">March &amp; Shapira, 1987</xref>). This section discusses the catalytic incentives of decisions from the perspective of the economic agent.</p>
				<p>The study of risk decision making was first approached in 1738 by the Swiss mathematician Daniel Bernoulli when he studied the reaction of individuals to betting proposals. He was the first to study what would become the Utility Maximization Theory, noting that people were not always looking for the highest possible monetary gain when making decisions affected by uncertainty, but rather maximizing its utility. The utility would represent, in economic terms, the personal satisfaction of the agent.</p>
				<p>In the twentieth century, von Neumann and Morgenstein (<xref ref-type="bibr" rid="B60">2007</xref> [1945]) reignited interest in the topic when they reformulated the theory of utility maximization. Since then, this theory has been present in risk studies and risk decision making (<xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). <xref ref-type="bibr" rid="B5">Arrow (1952</xref>) and <xref ref-type="bibr" rid="B1">Allais (1953</xref>) incorporated the notion of risk into classical economic ideas. They changed the concept of decision making by identifying risk as a determining factor in the decisions that economic agents make. They must make each decision from a set of alternatives, according to their motivations, expectations, and incentives (<xref ref-type="bibr" rid="B6">Atkinson, 1957</xref>). This behavior varies according to the economic characterization of the decision-maker. Particularities may predispose some to be more risk-averse, while others would prefer to incur more risk in pursuit of higher returns.</p>
				<p>The maximizing utility agent is known as Homo Economicus, which, in economic theories, represents the human being as consistently rational and self-interested, always looking for the optimal allocation point for his goals (<xref ref-type="bibr" rid="B54">Thaler &amp; Sunstein, 2009</xref>). This high point is based on his concept of utility. Economic rationality assumes that, once exposed to all choice alternatives, the agent can sort them by their preferences. Assuming that the agent is perfectly rational implies that he would have accurate and comprehensive economic knowledge, different from what is shown by empirical evidence. Economic studies applied this concept in the most diverse analyzes extensively.</p>
				<p>With the advance of economic science, inconsistencies in the assumption of the rationality of agents began to be highlighted in several lines of research. Several factors that make the human being not act following the maximizing rational behavior of utility have been identified. One of the lines of research that stood out most for criticizing the idea of utility maximization was Behavioral Economics, which exposes how humans systematically make their decisions, which are often contradictory and do not maximize utility (Kahneman &amp; <xref ref-type="bibr" rid="B56">Tversky, 1979</xref>). In addition to systematically differing from the classic rational agent, the behavior of individuals would also differ from each other according to their particularities (<xref ref-type="bibr" rid="B30">Guay, 1999</xref>).</p>
				<p>Then, factors beyond utility maximization and the economic realm influenced the decision-making process, allowing profiling and analysis of behavior patterns. Research that analyzes decisions from the perspective of risk-taking seeks to understand how agents behave differently depending on their decision alternatives and characteristics. These can range from personal traits to the way the firm is structured (<xref ref-type="bibr" rid="B140">Chen &amp; Vann, 2017</xref>).</p>
				<p>These deviations from theory open interpretation to the subjectivity of the decision, which makes it even more relevant to understand the agent who makes the decision and its incentives. This intra-agent heterogeneity is also present in decision-makers in publicly traded firms. These may be different due to several factors, highlighting the type of ownership and control of the firm (<xref ref-type="bibr" rid="B26">Fernandez &amp; Nieto, 2006</xref>). The next section reviews empirical work on the risk-taking behavior of family firms and elaborates the research hypothesis.</p>
			</sec>
			<sec>
				<title>2.3. Risk-Taking in Family Business</title>
				<p>As explained in the previous section, factors beyond utility maximization and the economic realm influence the decision-making process. The reviewed literature points out how the personal profile of each decision-maker affects behavior (<xref ref-type="bibr" rid="B6">Atkinson, 1957</xref>; <xref ref-type="bibr" rid="B35">John et al., 2008</xref>). In deciding between various alternatives, he acts according to his motivations, expectations, and incentives. These may be motivated by their benefits, aligning their equity with the firm’s results and taking riskier positions, as well as by the stability of their particular situation, in this case, presenting more conservative behavior.</p>
				<p>There is a lack of literature addressing the circumstance in which risk-taking is influenced by the presence of a business family in the firm (<xref ref-type="bibr" rid="B45">Memili et al., 2010</xref>). An empirical line of research gives family firms the risk aversion character. Given the concentration of the business family’s equity invested, the firm would choose to prioritize the firm’s long-term survival over potential entrepreneurial opportunities that include risk, for example. This fact implies that their decisions are made with continuity in mind and not just seeking short-term returns, but many publicly traded firms are under pressure to operate (<xref ref-type="bibr" rid="B21">de Vries, 1993</xref>).</p>
				<p>Also contributing to risk aversion is the preservation of Family Socio-Emotional Heritage (FSH), which comprises several non-economic objectives (<xref ref-type="bibr" rid="B39">Laffranchini &amp; Braun, 2014</xref>). The FSH manifests itself in some ways, such as identification with the firm or altruism among members of the business family. The loss of the FSH implies a loss of recognized status in society and in the family nucleus, and a feeling of failure in relation to the family expectations.</p>
				<p>Taking into consideration the reviewed works and the relevance of the theme, the following research hypothesis is formulated:</p>
				<p>H1: Family firms have greater risk aversion than non-family firms.</p>
				<p>Every decision made by the business family is connected with family equity, which influences the activities the firm engages in (Memili et al., 2011). Concentrating family equity in the firm helps to create long-term relationships with other shareholders and clients (<xref ref-type="bibr" rid="B45">Memili et al., 2010</xref>). With undiversified capital predominantly invested in the firm, one can expect that the motivation of the business family to create a legacy for their image and subsequent generations is greater than that of, for example, managers with no capital invested in the firm. (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>). This concentration of equity facilitates the alignment of shareholders’ interests so that decisions are made with less conflict and bureaucracy (<xref ref-type="bibr" rid="B11">Carrasco-Hernandez &amp; Sánchez-Marín, 2007</xref>).</p>
				<p>The concentration of equity also increases the ability to monitor the business of the business family, participating more actively in decisions than other types of shareholders (<xref ref-type="bibr" rid="B190">Braun &amp; Sharma, 2007</xref>). It summarizes the shareholding position of the business family as lightly diversified, focusing on the family business and consequently aligned with its financial performance. In this context, one can expect that family business to have higher risk aversion than non-family firms, as the family business is the shareholder with the most significant potential for loss, either in terms of return or equity invested in the firm. This phenomenon can occur because there is a concomitance between the economic position of the firm and the business family. This undiversified equity position of the business family results in a differentiated stance towards decisions made (<xref ref-type="bibr" rid="B32">Huybrechts et al., 2013</xref>).</p>
				<p>To empirically test the hypothesis formulated, the econometric methodology set out in the next chapter was applied.</p>
			</sec>
		</sec>
		<sec sec-type="methods">
			<title>3. METHODOLOGY AND SAMPLE</title>
			<p>We perform three econometric procedures: a mean difference test, a research hypothesis test, and an average treatment effect estimation (<xref ref-type="bibr" rid="B20">Davidson &amp; Mackinon, 2004</xref>). The objective of the first test is to verify if the variables behave in a statistically distinct manner according to the firm’s status: familiar or not.</p>
			<p>The second econometric procedure is an Ordinary Least Squares (OLS) regression model that aims to test the research hypothesis. For this, we run the model specified in Equation, in which we control for firms’ characteristics to isolate the effect of family presence on firms’ risk-taking. We use eight distinct combinations of variables in the OLS tests, and therefore the same number of different regressions are run for this model.</p>
            <p>
	<disp-formula id="e1">
		<alternatives>
			<graphic xlink:href="e1.jpg"/>
			<mml:math id="m1" display="block">
		<mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>k</mml:mi><mml:mo>-</mml:mo><mml:mi>T</mml:mi><mml:mi>a</mml:mi><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal"> </mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal"> </mml:mi><mml:msub><mml:mrow><mml:mi>F</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>ε</mml:mi></mml:math>
		</alternatives>
		<label>(1)</label>
	</disp-formula>
</p>
            <p>Where:</p>
			<p>Risk-Taking<sub>t</sub> = risk-taking of firms in period t.</p>
			<p>Family<sub>t</sub> = variable that indicates the family presence in the firm in period t.</p>
			<p>Controls<sub>t</sub> = model’s control variables in period t.</p>
			<p>ε = regression error term.</p>
			<p>β<sub>1</sub> is the parameter of interest of the research, indicating the relationship between family presence and risk-taking. Its negative statistical significance would suggest that the family’s presence has a negative impact on the dependent variable, risk-taking, and consequently that the family firm would be averse to taking risks. The opposite is also valid; that is, if the parameter is positive, the family presence in firms would indicate a higher propensity to take risks. In the absence of statistical significance, there would be no evidence that family firms behave differently from unfamiliar firms.</p>
			<p>To construct the dependent variable, which seeks to express the level of risk-taking of firms, we use a methodology derived from that applied in <xref ref-type="bibr" rid="B35">John, Litov and Yeung (2008</xref>) and <xref ref-type="bibr" rid="B24">Faccio, Marchica and Mura (2011</xref>). Return on asset volatility (ROA) is measured over a four-year period, i.e., from t to t + 3. We present the rationale used to calculate the ROA in Equation 2.</p>
             <p>
	<disp-formula id="e2">
		<alternatives>
			<graphic xlink:href="e2.jpg"/>
			<mml:math id="m2" display="block">

		<mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi><mml:mi>B</mml:mi><mml:mi>I</mml:mi><mml:mi>T</mml:mi><mml:mi>D</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mi> </mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>T</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi> </mml:mi><mml:mi>A</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math>
		</alternatives>
		<label>(2)</label>
	</disp-formula>
</p>
			<p>Where:</p>
			<p><italic>EBITDA</italic>
 <sub>
 <italic>t</italic> 
</sub> = indicates earnings before interest, taxes, depreciation, and amortization in the firm in period t.</p>
			<p><italic>Total Asset</italic>
 <sub>
 <italic>t</italic> 
</sub> = Total assets of the firm in period t.</p>
			<p>The firm’s configuration at t is assumed to imply decisions that influence risk-taking levels in subsequent periods. Therefore, the ROA volatility in the three years following the firm’s period t is assessed. That is, we believe that the decision made at the period t will influence future results (from t to t + 3). To control the effects of each industry, we use the average ROA of each industrial segment present in B3 in the period analyzed. The industry classification used was the one defined by B3. Subtract from each firm’s ROA the average ROA of their respective industry over the same period, and then calculate the standard deviation of this difference using the values between t and t + 3. In short, this measure is assessing how much that company varies more or less its result compared to its peers, and this phenomenon is a proxy for risk-taking. Equation 3 indicates how the risk-taking measure is calculated using ROA.</p>
			<p>
	<disp-formula id="e3">
		<alternatives>
			<graphic xlink:href="e3.jpg"/>
			<mml:math id="m3" display="block">
		<mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>k</mml:mi><mml:mo>-</mml:mo><mml:mi>T</mml:mi><mml:mi>a</mml:mi><mml:mi>k</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>σ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mi> </mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal"> </mml:mi><mml:mn>3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub><mml:mo>–</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:mover><mml:mo>_</mml:mo><mml:msub><mml:mrow><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mi> </mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal"> </mml:mi><mml:mn>3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:math>
		</alternatives>
		<label>(3)</label>
	</disp-formula>
</p>
            
			<p>The choice for this variable construction that represents risk-taking in this work is a differential of the research. Previous researches that studied family firms and risk-taking mostly used Research and Development as a proxy for risk-taking (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>). In addition to removing the influence of each industry’s particularities, this generates a risk-taking measure that is particularly focused on firm decisions (<xref ref-type="bibr" rid="B35">John, Litov, &amp; Yeung, 2008</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>).</p>
			<p>The independent variables seek to explain the dependent variable, being divided between interest and control. The variable of interest aims to represent the family presence in the firm. Control variables include other effects that the econometric model seeks to isolate that influence risk-taking.</p>
			<p>The research variable of interest classifies the firm as familiar or non-familiar. For this, a dummy variable is used, which assumes the value of 1 if the firm is considered familiar and 0 if it is not. To be classified as a family, a firm must meet two criteria following the notions previously addressed in the literature review. The first criterion is that it has at least one member of the business family as a controlling shareholder. Firms disclosure of the definition of the controller in their Reference Forms, section 15.1 / 15.2. Due to legal obligations that firms must comply with to be listed on the Brazilian stock market, they periodically disclose information that discriminates which shareholders are their shareholders and which are their controlling shareholders. The second criterion requires the firm’s controller to appoint at least one member to the board of directors in that period. In line with the notion that it is not enough to have a concentration of a business family for the firm to be considered family, we assume that there is also active involvement in the firm. Therefore, available information about who are the members of the firm’s board of directors is used, specifying if and which members the controller appointed. These would represent the interests of the business family on the board of directors. This definition of family presence makes up the <bold>Fam1</bold> variable.</p>
			<p>However, as discussed in the literature review, the definition of the family name is broad and has no consensus. Therefore, we elaborate on an alternative variable that seeks to express the family status of the firm: <bold>Fam2</bold>. This variable is less rigid than Fam1, with only one criterion: having at least one member of the business family as a controlling shareholder. Assuming that family firms behave differently than non-familar firms, we expect the effect to be less pronounced when using a variable that is less restrictive of family characteristics (<xref ref-type="bibr" rid="B59">Villalonga &amp; Amit, 2006</xref>).</p>
			<p>Many variables are included in the econometric calculation to control the effect of other factors that influence firms’ risk-taking (summarized in <xref ref-type="table" rid="t1">Table 1</xref>). We seek to control the following characteristics of firms’ observations: performance (ratio of net income to equity), size (log of total assets), number of board members, external proportion, investment opportunities ( sum of the firm’s market value + total debt divided by total assets), liquidity (cash flow divided by total assets), life cycle (explained below), stock return and the year of observation (<xref ref-type="bibr" rid="B35">John, Litov, &amp; Yeung, 2008</xref>; <xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B22">Dickinson, 2011</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>; <xref ref-type="bibr" rid="B38">Kuang &amp; Qin, 2013</xref>; <xref ref-type="bibr" rid="B7">Avrichir, Meneses, &amp; Santos, 2016</xref>; <xref ref-type="bibr" rid="B58">Vancin &amp; Procianoy, 2016</xref>).</p>
			<p>
				<table-wrap id="t1">
					<label>Table 1.</label>
					<caption>
						<title>Control Variables</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left">Variable</th>
								<th align="center">Equation</th>
								<th align="center">References</th>
								<th align="center">Theoretical Reason</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Size</td>
								<td align="left">Natural Logarithm of Total Assets of firm at t.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B61">Zahra 2005</xref>; <xref ref-type="bibr" rid="B160">Chrisman &amp; Patel, 2012</xref>; <xref ref-type="bibr" rid="B58">Vancin &amp; Procianoy, 2016</xref>.</td>
								<td align="left">The larger the firm, the more likely it is to resist change and innovation.</td>
							</tr>
							<tr>
								<td align="left">Performance</td>
								<td align="left">Ratio between net income and equity.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B61">Zahra, 2005</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>.</td>
								<td align="left">A recent successful track record would inhibit managers from pursuing risky entrepreneurial activities given their satisfaction with the firm’s situation.</td>
							</tr>
							<tr>
								<td align="left">Board</td>
								<td align="left">Number of board members.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B28">Goodstein, Gautam, &amp; Boeker, 1994</xref> e <xref ref-type="bibr" rid="B62">Zahra et al., 2004</xref>.</td>
								<td align="left">It is considered more difficult to make risky decisions when the quorum that decide is higher.</td>
							</tr>
							<tr>
								<td align="left">External</td>
								<td align="left">Ratio between the number of external directors and the existing total.</td>
								<td align="left"><xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref> e <xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>
								</td>
								<td align="left">This feature influences how much management is monitored and allows the inclusion of views of members outside the firm’s routine.</td>
							</tr>
							<tr>
								<td align="left">Opportunities</td>
								<td align="left">Sum of market value and debt divided by total assets.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B53">Smith &amp; Stulz, 1985</xref>; <xref ref-type="bibr" rid="B36">Kammler &amp; Alves, 2009</xref> e <xref ref-type="bibr" rid="B8">Belkhir &amp; Chazi, 2010</xref>.</td>
								<td align="left">The more investment opportunities, the more the firm would tend to get involved with new projects and would be backed by risk-taking.</td>
							</tr>
							<tr>
								<td align="left">Liquidity</td>
								<td align="left">Cash Flow divided by Total Assets.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B460">Muñoz-Bullón &amp; Sanchez-Bueno, 2011</xref>.</td>
								<td align="left">It is expected that the more liquidity the firm has, the more predisposed it will be to take risks, and vice versa.</td>
							</tr>
							<tr>
								<td align="left">Age</td>
								<td align="left">Number of years since foundation.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B22">Dickinson, 2011</xref> e <xref ref-type="bibr" rid="B24">Faccio, Marchica &amp; Mura, 2011</xref>.</td>
								<td align="left">The risk-taking level is expected to decrease with the firm’s age.</td>
							</tr>
							<tr>
								<td align="left">Return</td>
								<td align="left">Share price in t divided by the price in t-1 minus one.</td>
								<td align="left">
									<xref ref-type="bibr" rid="B38">Kuang &amp; Qin, 2013</xref> e <xref ref-type="bibr" rid="B230">Elsilä, 2015</xref></td>
								<td align="left">Higher risk companies, on average, should have higher returns.</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN1">
							<p>Source: Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>By using a variable to represent the life cycle of each firm, one controls for differences in the stage of development the firm is in, as the risk-taking level is expected to decrease with the firm’s age. It also helps to control factors such as product maturation and learning and experience curves. We use two distinct variables to try to capture the life cycle effect. The first variable that seeks to control this relationship is called Age, and its calculation represents the number of years since the company’s IPO (<xref ref-type="bibr" rid="B22">Dickinson, 2011</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>).</p>
			<p>Another proxy that seeks to capture the life cycle uses a methodology derived from <xref ref-type="bibr" rid="B22">Dickinson (2011</xref>). We use cash flow from operations (CFO), investments (CFI), and financing activities (CFF). According to the value of each of these three variables, we classify the firm’s life cycle into Introduction, Growth, Maturation, Decline, and Reorganization. We use dummy variables to identify each of these stages in the regression model, which assumes the value 1 when the criterion of each variable is met. Their calculations are spelled out in Equations 4, 5, 6, 7, and 8.</p>
            <p>
	<disp-formula id="e4">
		<alternatives>
			<graphic xlink:href="e4.jpg"/>
			<mml:math id="m4" display="block">
              <mml:msub><mml:mrow><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>d</mml:mi><mml:mi>u</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>I</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn><mml:mi mathvariant="normal"> </mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>F</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:math>
		</alternatives>
		<label>(4)</label>
	</disp-formula>
</p>
     <p>
	<disp-formula id="e5">
		<alternatives>
			<graphic xlink:href="e5.jpg"/>
			<mml:math id="m5" display="block">
	<mml:msub><mml:mrow><mml:mi>G</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>w</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>I</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn><mml:mi mathvariant="normal"> </mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>F</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:math>
</alternatives>
		<label>(5)</label>
	</disp-formula>
</p>      
   <p>
	<disp-formula id="e6">
		<alternatives>
			<graphic xlink:href="e6.jpg"/>
			<mml:math id="m6" display="block">
	<mml:msub><mml:mrow><mml:mi>M</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>u</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>I</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn><mml:mi mathvariant="normal"> </mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>F</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn></mml:math>
		</alternatives>
		<label>(6)</label>
	</disp-formula>
</p>         
           <p>
	<disp-formula id="e7">
		<alternatives>
			<graphic xlink:href="e7.jpg"/>
			<mml:math id="m7" display="block">
	<mml:msub><mml:mrow><mml:mi>D</mml:mi><mml:mi>e</mml:mi><mml:mi>c</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>O</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>I</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn><mml:mi mathvariant="normal"> </mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi> </mml:mi><mml:mi>C</mml:mi><mml:mi>F</mml:mi><mml:mi>F</mml:mi><mml:mo>&gt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal"> </mml:mi><mml:mn>0</mml:mn><mml:mi mathvariant="normal"> </mml:mi><mml:mi>o</mml:mi><mml:mi>u</mml:mi><mml:mi> </mml:mi><mml:mo>&lt;</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal"> </mml:mi><mml:mn>0</mml:mn></mml:math>
		</alternatives>
		<label>(7)</label>
	</disp-formula>
</p>  
                <p>
	<disp-formula id="e8">
		<alternatives>
			<graphic xlink:href="e8.jpg"/>
			<mml:math id="m8" display="block">
	<mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>e</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>g</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>z</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mi> </mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>g</mml:mi><mml:mi> </mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>g</mml:mi><mml:mi>s</mml:mi></mml:math>
		</alternatives>
		<label>(8)</label>
	</disp-formula>
</p>
			<p>The third test used seeks to estimate the average treatment effect. We performed this test to complement the Ordinary Least Squares regressions. Using the same variables elaborated for the OLS, we separated the sample between two groups: family firms (treatment) and non-family firms (control). Again the variables Fam1 and Fam2 were used to make this distinction. Each family firm is paired, and this process was performed according to the highest possible similarity between the values of control variables. Using this mechanism, known as propensity score matching, we sought to observe the impact of family presence on the dependent variable, Risk-Taking. According to the sign of the verified coefficient, it can be attested whether there is evidence of a statistically significant impact, whether positive or negative, of family presence in risk-taking.</p>
			<p>Finally, the last part to be approached by the methodology employed is the sample. It contains the open-ended firms of the Brazilian stock market, B3, active in all or part of the period 2010-2017. Data were collected from 2010 onwards, as it was from this period that Brazil adhered to the International Financial Reporting Standards (IFRS), making it possible to obtain standardized information. We collect all information used from two data sources.</p>
			<p>The first one consists of the Reference Forms provided by the Brazilian Securities Commission (CVM). All information collected is contained in sections 12, Assembly and Administration, and 15, Control and Economic Group. By processing the data in the RStudio statistical software, which uses R programming, it was possible to organize the information about the business families. Data collection was mechanized by obtaining, through the GetDFPData package (<xref ref-type="bibr" rid="B48">Perlin, Kirch, &amp; Vancin, 2018</xref>), all necessary information from the Reference Forms.</p>
			<p>We obtained the rest of the information through the Economatica software. Regarding the information used from this source, and to simplify the interpretation of the results, all data collected with its quotation in reais (R$) were divided by 1,000, to alleviate the magnitude of the calculations (<xref ref-type="bibr" rid="B59">Villalonga &amp; Amit, 2006</xref>). All observations that did not have complete market value data were also disregarded. Finally, winsorize all information collected at a level of 2.5% before calculating each variable, to exclude possible outliers from the sample. Following the suggestions of an anonymous reviewer and as a robustness test, we re-estimated our original regressions using the 1% parameter in winsorization. The results remained unchanged.</p>
			<p>The initial sample consisted of 1,737 observations from publicly traded Brazilian companies listed in B3. Of these, 455 did not have data for the liquidity variable, and 94 did not have enough information to construct the other variables. Thus, the final sample consists of 1188 observations. Of the 1188 observations in the sample, 431 refer to family firms according to the Fam1 variable criterion. This data indicates that 36.28% of the firms in the sample are family members. <xref ref-type="table" rid="t2">Table 2</xref> shows the ratio between family and non-family firms each year collected. In all sample years, we can observe a predominance of non-family firms, which represent over 60% of the firms analyzed.</p>
			<p>
				<table-wrap id="t2">
					<label>Table 2.</label>
					<caption>
						<title>Sample</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left">Year</th>
								<th align="center">Family Firms</th>
								<th align="center">% FF</th>
								<th align="center">Non-Family Firms</th>
								<th align="center" rowspan="2">%NFF</th>
								<th align="center" rowspan="2">Total</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left" colspan="6">Panel A: Fam1 criterion </td>
							</tr>
							<tr>
								<td align="left">2010</td>
								<td align="center">92</td>
								<td align="center">39,48%</td>
								<td align="center">141</td>
								<td align="center">60,52%</td>
								<td align="center">233</td>
							</tr>
							<tr>
								<td align="left">2011</td>
								<td align="center">78</td>
								<td align="center">33,62%</td>
								<td align="center">154</td>
								<td align="center">66,38%</td>
								<td align="center">232</td>
							</tr>
							<tr>
								<td align="left">2012</td>
								<td align="center">77</td>
								<td align="center">32,22%</td>
								<td align="center">162</td>
								<td align="center">67,78%</td>
								<td align="center">239</td>
							</tr>
							<tr>
								<td align="left">2013</td>
								<td align="center">93</td>
								<td align="center">38,91%</td>
								<td align="center">146</td>
								<td align="center">61,09%</td>
								<td align="center">239</td>
							</tr>
							<tr>
								<td align="left">2014</td>
								<td align="center">91</td>
								<td align="center">37,14%</td>
								<td align="center">154</td>
								<td align="center">62,86%</td>
								<td align="center">245</td>
							</tr>
							<tr>
								<td align="left">Total</td>
								<td align="center">431</td>
								<td align="center">36,28%</td>
								<td align="center">757</td>
								<td align="center" rowspan="2">63,72%</td>
								<td align="center" rowspan="2">1188</td>
							</tr>
							<tr>
								<td align="left" colspan="6">Panel B: Fam2 criterion</td>
							</tr>
							<tr>
								<td align="left">2010</td>
								<td align="center">97</td>
								<td align="center">41,63%</td>
								<td align="center">136</td>
								<td align="center">58,37%</td>
								<td align="center">233</td>
							</tr>
							<tr>
								<td align="left">2011</td>
								<td align="center">82</td>
								<td align="center">35,34%</td>
								<td align="center">150</td>
								<td align="center">64,66%</td>
								<td align="center">232</td>
							</tr>
							<tr>
								<td align="left">2012</td>
								<td align="center">80</td>
								<td align="center">33,47%</td>
								<td align="center">159</td>
								<td align="center">66,53%</td>
								<td align="center">239</td>
							</tr>
							<tr>
								<td align="left">2013</td>
								<td align="center">96</td>
								<td align="center">40,17%</td>
								<td align="center">143</td>
								<td align="center">59,83%</td>
								<td align="center">239</td>
							</tr>
							<tr>
								<td align="left">2014</td>
								<td align="center">94</td>
								<td align="center">38,37%</td>
								<td align="center">151</td>
								<td align="center">61,63%</td>
								<td align="center">245</td>
							</tr>
							<tr>
								<td align="left">Total</td>
								<td align="center">448</td>
								<td align="center">37,79%</td>
								<td align="center">740</td>
								<td align="center">62,21%</td>
								<td align="center">1188</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN2">
							<p>Source: Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>After the description of the proposed methodology, the next chapter presents the results obtained.</p>
		</sec>
		<sec sec-type="results">
			<title>4. RESULTS</title>
			<p>This chapter presents the results of the work. Firstly, we address the descriptive statistics of the sample as a whole. Afterward, we distinguish family firms from non-family firms by performing the T-test for mean differences. Then, the hypothesis is tested empirically through an Ordinary Least Squares model. Finally, we present the results of the average treatment effect estimation.</p>
			<p>The complete sample contains 1188 observations. Descriptive statistics for all non-dummy variables used are presented in <xref ref-type="table" rid="t3">Table 3</xref>. The dependent variable generally has values close to zero. It is in the interest of risk-averse managers that this value should be as low as possible. We observe that the average amount is 0.601, higher than the median, and even the value that delimits the third quartile, given the existence of larger proportions that consequently raise the average.</p>
			<p>
				<table-wrap id="t3">
					<label>Table 3.</label>
					<caption>
						<title>Descriptive Statistics</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left">Statistic</th>
								<th align="center">Min.</th>
								<th align="center">1º Q.</th>
								<th align="center">Median</th>
								<th align="center">Mean</th>
								<th align="center">3º Q.</th>
								<th align="center">Max.</th>
								<th align="center">σ</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Risk-Taking</td>
								<td align="center">0.004</td>
								<td align="center">0.046</td>
								<td align="center">0.077</td>
								<td align="center">0.601</td>
								<td align="center">0.308</td>
								<td align="center">28.108</td>
								<td align="center">0.449</td>
							</tr>
							<tr>
								<td align="left">Size</td>
								<td align="center">0.699</td>
								<td align="center">5.549</td>
								<td align="center">6.238</td>
								<td align="center">5.996</td>
								<td align="center">6.724</td>
								<td align="center">8.899</td>
								<td align="center">1.336</td>
							</tr>
							<tr>
								<td align="left">Performance</td>
								<td align="center">-56.11</td>
								<td align="center">0.006</td>
								<td align="center">0.089</td>
								<td align="center">-0.07</td>
								<td align="center">0.185</td>
								<td align="center">29.476</td>
								<td align="center">24.832</td>
							</tr>
							<tr>
								<td align="left">Board</td>
								<td align="center">1</td>
								<td align="center">7</td>
								<td align="center">13</td>
								<td align="center">14.27</td>
								<td align="center">19</td>
								<td align="center">52</td>
								<td align="center">11.68</td>
							</tr>
							<tr>
								<td align="left">External</td>
								<td align="center">0.000</td>
								<td align="center">0.000</td>
								<td align="center">0.034</td>
								<td align="center">0.093</td>
								<td align="center">0.167</td>
								<td align="center">1</td>
								<td align="center">0.112</td>
							</tr>
							<tr>
								<td align="left">Opportunities</td>
								<td align="center">0.000</td>
								<td align="center">0.381</td>
								<td align="center">0.718</td>
								<td align="center">1.18</td>
								<td align="center">1.22</td>
								<td align="center">57.819</td>
								<td align="center">5.326</td>
							</tr>
							<tr>
								<td align="left">Liquidity</td>
								<td align="center">-21.0</td>
								<td align="center">0.018</td>
								<td align="center">0.083</td>
								<td align="center">-0.072</td>
								<td align="center">0.143</td>
								<td align="center">3.174</td>
								<td align="center">0.005</td>
							</tr>
							<tr>
								<td align="left">Age</td>
								<td align="center">0.0</td>
								<td align="center">13</td>
								<td align="center">31</td>
								<td align="center">37.63</td>
								<td align="center">57</td>
								<td align="center">144</td>
								<td align="center">8.764</td>
							</tr>
							<tr>
								<td align="left">Return</td>
								<td align="center">-84.27</td>
								<td align="center">-14.905</td>
								<td align="center">0.000</td>
								<td align="center">2.147</td>
								<td align="center">11.131</td>
								<td align="center">502.311</td>
								<td align="center">27.43</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN3">
							<p>Source: Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>The Size variable, being a logarithmic function, has proportionally close values. We observe an average value of 5.996 and a median of 6.238. The Performance variable has a mean value of -0.007 and a median of 0.089. Some observations show a considerable Net Income magnitude compared to the Net Equity value, either positive or negative. Therefore, this variable has proportionally different values from the mean. The cutoff value of the first quartile indicates that most values for this variable are positive. The standard deviation value indicates that the second and third integer quartiles are within one standard deviation.</p>
			<p>Regarding the variable Boards, we observed that all firms in the sample have at least one board member. Several firms have only one, while Duratex in 2010 has the most significant number: 52. On average, firms have 14.27 board members, with a median of 13. The values of the 1st quartile, the average, and the 3rd quartile allow us to infer the cutoff values for the alternative methodology that seeks to control the impact of the number of advisors. The first quartile comprises firms that have from one to seven directors, the second quartile from seven to 13, the third from 13 to 19 members, and the fourth from 19 to the previously mentioned maximum of 52. Among the board members, on average, approximately one every twelve are external to the firm, which configures a predominance of directors who are already part of the firm’s dynamics. At least 25% of firms do not have external members on their board. Councils made up mostly of external members are an exception regime. This fact would configure a higher possibility of risk-taking approval (<xref ref-type="bibr" rid="B14">Chen; Hsu, 2009</xref>).</p>
			<p>The Opportunities variable has an average of 1.18, higher than the median of 0.718. This proportional discrepancy would probably occur due to an increase of observations in the right tail of this distribution, which influences the observed standard deviation. Finally, we can infer that more firms have positive than negative values for their investment opportunities. The Liquidity variable is one of two variables that has a negative average of the entire sample, with an amount of -0.072. This phenomenon would indicate that, in the period under review, the firms encountered considerable financial difficulties. Even with winsorization, some values proportionally stand out, whether positive or negative. Its median attests that most firms had positive liquidity in the period.</p>
			<p>Firms, on average, are 37.63 years old, which implies, from a family perspective, that the founder would already be old enough to have successors. The minimum value of 0 years is explained by some firm’s segmentation, which were restructured when already listed in the stock exchange. Given the advanced age values of some firms, the standard deviation value is more significant than average. The Return variable represents a firm’s behavior towards the market. On average, firms posted a return of 2.147% per year. The median found of zero is explained by low liquidity stocks that do not show the turnover captured by Economática in the period in which the return is calculated. The lowest performance in one year was -84.27% (OSX in 2013). On the other hand, PET Manguinhos grew 502.31% in 2010.</p>
			<p>The mean difference tests were performed, presented in <xref ref-type="table" rid="t4">Table 4</xref>. We estimated the T-test for all non-dummy independent variables. As indicated by the results, we observed that six variables have significant statistical differences between the average values of family and non-family firms when evaluated by the T-test. The variables Size, Liquidity, Opportunities, Age, Board, and External, presented a mean difference between a statistical significance of 1%.</p>
			<p>
				<table-wrap id="t4">
					<label>Table 4.</label>
					<caption>
						<title>Mean Difference T-test</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left">Variables</th>
								<th align="center">Mean FF</th>
								<th align="center">Mean NFF</th>
								<th align="center">p-value</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Size</td>
								<td align="center">6.234</td>
								<td align="center">5.736</td>
								<td align="center">0.000</td>
							</tr>
							<tr>
								<td align="left">Performance</td>
								<td align="center">0.081</td>
								<td align="center">0.061</td>
								<td align="center">0.538</td>
							</tr>
							<tr>
								<td align="left">Board</td>
								<td align="center">14.789</td>
								<td align="center">13.299</td>
								<td align="center">0.005</td>
							</tr>
							<tr>
								<td align="left">External</td>
								<td align="center">0.099</td>
								<td align="center">0.075</td>
								<td align="center">0.001</td>
							</tr>
							<tr>
								<td align="left">Opportunities</td>
								<td align="center">1.249</td>
								<td align="center">0.730</td>
								<td align="center">0.002</td>
							</tr>
							<tr>
								<td align="left">Liquidity</td>
								<td align="center">0.051</td>
								<td align="center">-0.109</td>
								<td align="center">0.000</td>
							</tr>
							<tr>
								<td align="left">Age</td>
								<td align="center">41.266</td>
								<td align="center">36.366</td>
								<td align="center">0.004</td>
							</tr>
							<tr>
								<td align="left">Return</td>
								<td align="center">0.046</td>
								<td align="center">0.325</td>
								<td align="center">0.879</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN4">
							<p>Source: Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>The results indicated that family firms would present variables with statistically distinct values from unfamiliar firms. These results corroborate the notion that family firms behave peculiarly, justifying their study as an object of their research (<xref ref-type="bibr" rid="B27">Gallo; Vilaseca, 1996</xref>; <xref ref-type="bibr" rid="B49">Poutziouris; Smyrnios; Klein, 2008</xref>; <xref ref-type="bibr" rid="B10">Borges, Lescura,  Oliveira, 2012</xref>).</p>
			<p>The next test performed was the hypothesis test using Ordinary Least Squares. We configured eight regressions with different combinations of independent variables. Regressions 1 through 4 apply the Fam1 criterion for family presence. In this group of models, the proxies representing the number of board members - “Board” or “Quartile,” and the stage of the company’s life cycle - “Age” or “Introduction / Growth / Maturation / Decline” vary. In regressions from 5 to 8, we used the Fam2 criterion as a variable of interest, and the proxies cited for Fam1 also vary.</p>
			<p>In the four procedures using Fam1, the presented coefficient of the variable of interest was negative, which would imply that the family presence would cause a lower risk-taking. These results are significant at a level of 1%.</p>
			<p>By expanding the concept of family firms to the Fam2 criterion, the results remain similar. The coefficients presented by the variable of interest in regressions 5 to 8 are always negative, and, as in Fam1, are significant at a level of 1%. All combinations with Ordinary Least Squares present the expected coefficient for family presence at a level of statistical significance of 1%, which would corroborate the hypothesis that family firms would be more risk-averse than non-family firms.</p>
			<p>In all regressions performed, the coefficient of the variable expressing family presence in the firm was negative. There would be evidence that family presence in firms would lead to higher risk aversion.</p>
			<p>Control variables were also analyzed in the OLS (<xref ref-type="table" rid="t5">Table 5</xref>) tests that presented a level of statistical significance. The Size variable had a negative impact on risk-taking according to the coefficient found in the eight regressions. This result is in line with the literature that argues that larger firms make greater risk-taking impossible because of their large and bureaucratic structure.</p>
			<p>
				<table-wrap id="t5">
					<label>Table 5.</label>
					<caption>
						<title>Hypothesis Test: Ordinary Least Squares</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left"> </th>
								<th align="center">(1)</th>
								<th align="center">(2)</th>
								<th align="center">(3)</th>
								<th align="center">(4)</th>
								<th align="center">(5)</th>
								<th align="center">(6)</th>
								<th align="center">(7)</th>
								<th align="center">(8)</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left" colspan="9">Variables</td>
							</tr>
							<tr>
								<td align="left">Fam1</td>
								<td align="center">-99.34***</td>
								<td align="center">-99.31***</td>
								<td align="center">-93.05***</td>
								<td align="center">-93.48***</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-5.40)</td>
								<td align="center">(-5.46)</td>
								<td align="center">(-5.12)</td>
								<td align="center">(-5.21)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">Fam2</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-89.72***</td>
								<td align="center">-87.28***</td>
								<td align="center">-83.51***</td>
								<td align="center">-81.59***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-4.82)</td>
								<td align="center">(-4.74)</td>
								<td align="center">(-4.54)</td>
								<td align="center">(-4.49)</td>
							</tr>
							<tr>
								<td align="left">Performance</td>
								<td align="center">0.05</td>
								<td align="center">0.03</td>
								<td align="center">0.02</td>
								<td align="center">0.01</td>
								<td align="center">0.04</td>
								<td align="center">0.03</td>
								<td align="center">0.02</td>
								<td align="center">0.01</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(1.39)</td>
								<td align="center">(0.90)</td>
								<td align="center">(0.63)</td>
								<td align="center">(0.21)</td>
								<td align="center">(1.33)</td>
								<td align="center">(0.85)</td>
								<td align="center">(0.57)</td>
								<td align="center">(0.16)</td>
							</tr>
							<tr>
								<td align="left">Size</td>
								<td align="center">-0.16***</td>
								<td align="center">-0.07**</td>
								<td align="center">-0.11***</td>
								<td align="center">-0.02</td>
								<td align="center">-0.16***</td>
								<td align="center">-0.08**</td>
								<td align="center">-0.11***</td>
								<td align="center">-0.02</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-5.64)</td>
								<td align="center">(-2.29)</td>
								<td align="center">(-3.69)</td>
								<td align="center">(-0.72)</td>
								<td align="center">(-5.63)</td>
								<td align="center">(-2.37)</td>
								<td align="center">(-3.67)</td>
								<td align="center">(-0.77)</td>
							</tr>
							<tr>
								<td align="left">Board</td>
								<td align="center">1.32**</td>
								<td align="left"> </td>
								<td align="center">1.13**</td>
								<td align="left"> </td>
								<td align="center">1.27**</td>
								<td align="left"> </td>
								<td align="center">1.07*</td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(2.29)</td>
								<td align="left"> </td>
								<td align="center">(1.96)</td>
								<td align="left"> </td>
								<td align="center">(2.18)</td>
								<td align="left"> </td>
								<td align="center">(1.86)</td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">1<sup>st</sup> Quartile</td>
								<td align="left"> </td>
								<td align="center">168.12***</td>
								<td align="left"> </td>
								<td align="center">171.41***</td>
								<td align="left"> </td>
								<td align="center">163.42***</td>
								<td align="left"> </td>
								<td align="center">167.32***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(5.43)</td>
								<td align="left"> </td>
								<td align="center">(5.64)</td>
								<td align="left"> </td>
								<td align="center">(5.26)</td>
								<td align="left"> </td>
								<td align="center">(5.49)</td>
							</tr>
							<tr>
								<td align="left">2<sup>nd</sup> Quartile</td>
								<td align="left"> </td>
								<td align="center">34.47</td>
								<td align="left"> </td>
								<td align="center">50.61*</td>
								<td align="left"> </td>
								<td align="center">32.15</td>
								<td align="left"> </td>
								<td align="center">48.76*</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(1.26)</td>
								<td align="left"> </td>
								<td align="center">(1.87)</td>
								<td align="left"> </td>
								<td align="center">(1.17)</td>
								<td align="left"> </td>
								<td align="center">(1.80)</td>
							</tr>
							<tr>
								<td align="left">3<sup>rd</sup> Quartile</td>
								<td align="left"> </td>
								<td align="center">13.63</td>
								<td align="left"> </td>
								<td align="center">27.49</td>
								<td align="left"> </td>
								<td align="center">11.32</td>
								<td align="left"> </td>
								<td align="center">25.67</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(0.53)</td>
								<td align="left"> </td>
								<td align="center">(1.08)</td>
								<td align="left"> </td>
								<td align="center">(0.44)</td>
								<td align="left"> </td>
								<td align="center">(1.01)</td>
							</tr>
							<tr>
								<td align="left">External</td>
								<td align="center">-0.50</td>
								<td align="center">-0.41</td>
								<td align="center">-0.41</td>
								<td align="center">-0.33</td>
								<td align="center">-0.51*</td>
								<td align="center">-0.42</td>
								<td align="center">-0.42</td>
								<td align="center">-0.34</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-1.64)</td>
								<td align="center">(-1.34)</td>
								<td align="center">(-1.35)</td>
								<td align="center">(-1.12)</td>
								<td align="center">(-1.68)</td>
								<td align="center">(-1.38)</td>
								<td align="center">(-1.37)</td>
								<td align="center">(-1.14)</td>
							</tr>
							<tr>
								<td align="left">Opportunities</td>
								<td align="center">0.01</td>
								<td align="center">0.03</td>
								<td align="center">-0.01</td>
								<td align="center">0.01</td>
								<td align="center">0.01</td>
								<td align="center">0.02</td>
								<td align="center">-0.01</td>
								<td align="center">0.00</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(0.47)</td>
								<td align="center">(0.87)</td>
								<td align="center">(-0.19)</td>
								<td align="center">(0.23)</td>
								<td align="center">(0.43)</td>
								<td align="center">(0.82)</td>
								<td align="center">(-0.24)</td>
								<td align="center">(0.17)</td>
							</tr>
							<tr>
								<td align="left">Liquidity</td>
								<td align="center">-0.32***</td>
								<td align="center">-0.30***</td>
								<td align="center">-0.27***</td>
								<td align="center">-0.26***</td>
								<td align="center">-0.32***</td>
								<td align="center">-0.30***</td>
								<td align="center">-0.27***</td>
								<td align="center">-0.26***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-9.32)</td>
								<td align="center">(-8.81)</td>
								<td align="center">(-7.22)</td>
								<td align="center">(-6.96)</td>
								<td align="center">(-9.32)</td>
								<td align="center">(-8.81)</td>
								<td align="center">(-7.22)</td>
								<td align="center">(-6.97)</td>
							</tr>
							<tr>
								<td align="left">Age</td>
								<td align="center">-1.47***</td>
								<td align="center">-1.29***</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-1.50***</td>
								<td align="center">-1.32***</td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-5.28)</td>
								<td align="center">(-4.64)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-5.37)</td>
								<td align="center">(-4.77)</td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">Introduction</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-241.91***</td>
								<td align="center">-229.11***</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-245.43***</td>
								<td align="center">-233.14***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-7.29)</td>
								<td align="center">(-6.98)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-7.38)</td>
								<td align="center">(-7.08)</td>
							</tr>
							<tr>
								<td align="left">Growth</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-186.61***</td>
								<td align="center">-170.48***</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-189.22***</td>
								<td align="center">-173.62***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-6.25)</td>
								<td align="center">(-5.77)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-6.33)</td>
								<td align="center">(-5.86)</td>
							</tr>
							<tr>
								<td align="left">Maturation</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-183.15***</td>
								<td align="center">-168.80***</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-184.90***</td>
								<td align="center">-170.89***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-6.43)</td>
								<td align="center">(-5.99)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-6.48)</td>
								<td align="center">(-6.05)</td>
							</tr>
							<tr>
								<td align="left">Decline</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-109.22**</td>
								<td align="center">-106.53**</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">-113.33**</td>
								<td align="center">-110.43**</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-2.37)</td>
								<td align="center">(-2.35)</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="center">(-2.46)</td>
								<td align="center">(-2.43)</td>
							</tr>
							<tr>
								<td align="left">Return</td>
								<td align="center">0.01</td>
								<td align="center">0.01</td>
								<td align="center">0.02</td>
								<td align="center">0.01</td>
								<td align="center">0.01</td>
								<td align="center">0.01</td>
								<td align="center">0.02</td>
								<td align="center">0.01</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(0.31)</td>
								<td align="center">(0.18)</td>
								<td align="center">(0.41)</td>
								<td align="center">(0.29)</td>
								<td align="center">(0.31)</td>
								<td align="center">(0.19)</td>
								<td align="center">(0.42)</td>
								<td align="center">(0.30)</td>
							</tr>
							<tr>
								<td align="left">2011</td>
								<td align="center">-29.56</td>
								<td align="center">-27.53</td>
								<td align="center">-34.50</td>
								<td align="center">-32.92</td>
								<td align="center">-28.75</td>
								<td align="center">-26.51</td>
								<td align="center">-33.92</td>
								<td align="center">-32.14</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-1.05)</td>
								<td align="center">(-0.99)</td>
								<td align="center">(-1.24)</td>
								<td align="center">(-1.20)</td>
								<td align="center">(-1.02)</td>
								<td align="center">(-0.95)</td>
								<td align="center">(-1.22)</td>
								<td align="center">(-1.17)</td>
							</tr>
							<tr>
								<td align="left">2012</td>
								<td align="center">-36.29</td>
								<td align="center">-40.15</td>
								<td align="center">-52.91*</td>
								<td align="center">-56.40**</td>
								<td align="center">-34.89</td>
								<td align="center">-38.34</td>
								<td align="center">-51.89*</td>
								<td align="center">-55.05**</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(-1.30)</td>
								<td align="center">(-1.45)</td>
								<td align="center">(-1.91)</td>
								<td align="center">(-2.07)</td>
								<td align="center">(-1.25)</td>
								<td align="center">(-1.39)</td>
								<td align="center">(-1.87)</td>
								<td align="center">(-2.01)</td>
							</tr>
							<tr>
								<td align="left">2013</td>
								<td align="center">16.42</td>
								<td align="center">24.24</td>
								<td align="center">-6.58</td>
								<td align="center">3.38</td>
								<td align="center">17.22</td>
								<td align="center">24.94</td>
								<td align="center">-6.35</td>
								<td align="center">3.48</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(0.58)</td>
								<td align="center">(0.87)</td>
								<td align="center">(-0.24)</td>
								<td align="center">(0.12)</td>
								<td align="center">(0.61)</td>
								<td align="center">(0.90)</td>
								<td align="center">(-0.23)</td>
								<td align="center">(0.13)</td>
							</tr>
							<tr>
								<td align="left">2014</td>
								<td align="center">30.61</td>
								<td align="center">40.56</td>
								<td align="center">1.08</td>
								<td align="center">12.77</td>
								<td align="center">31.55</td>
								<td align="center">41.42</td>
								<td align="center">1.30</td>
								<td align="center">12.87</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(1.09)</td>
								<td align="center">(1.46)</td>
								<td align="center">(0.04)</td>
								<td align="center">(0.46)</td>
								<td align="center">(1.12)</td>
								<td align="center">(1.49)</td>
								<td align="center">(0.05)</td>
								<td align="center">(0.46)</td>
							</tr>
							<tr>
								<td align="left">Constant</td>
								<td align="center">1,055.53***</td>
								<td align="center">734.85***</td>
								<td align="center">1,808.07***</td>
								<td align="center">1,399.75***</td>
								<td align="center">1,045.74***</td>
								<td align="center">734.35***</td>
								<td align="center">1,810.82***</td>
								<td align="center">1,410.57***</td>
							</tr>
							<tr>
								<td align="left"> </td>
								<td align="center">(21.87)</td>
								<td align="center">(6.74)</td>
								<td align="center">(13.80)</td>
								<td align="center">(8.78)</td>
								<td align="center">(21.51)</td>
								<td align="center">(6.69)</td>
								<td align="center">(13.78)</td>
								<td align="center">(8.82)</td>
							</tr>
							<tr>
								<td align="left">Observations</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
								<td align="center">1,188</td>
							</tr>
							<tr>
								<td align="left">R²</td>
								<td align="center">0.2240</td>
								<td align="center">0.2475</td>
								<td align="center">0.2468</td>
								<td align="center">0.2691</td>
								<td align="center">0.2201</td>
								<td align="center">0.2428</td>
								<td align="center">0.2432</td>
								<td align="center">0.2648</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN5">
							<p>Ordinary Least Squares - Control by Industry; t-value in parentheses; *** p&lt;0.01, ** p&lt;0.05, * p&lt;0.1</p>
						</fn>
						<fn id="TFN6">
							<p><bold>
 <italic>Source</italic>:</bold> Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>When analyzing the impact of the number of board members on risk-taking, the “Board” and “Quartile 1” proxies indicate statistical significance. “Board” presented positive coefficients in the four regressions in which it is employed, in line with the revised literature on the propensity for risk-taking by family firms. These results are significant at a level of 5% in regressions 1 and 5 and 10% in regressions 3 and 7. Analyzing the dummy variables that sought to express this relationship, only the Quartile 1 variable showed statistical significance at a level of 1%.</p>
			<p>The External variable presented in the eight regressions tested a negative coefficient. This fact would attest that the higher the number of external board members, the lower the risk-taking assumed by the company, as evidenced by the literature review. This result was statistically significant at a level of 10%. The Liquidity variable presented a negative and significant coefficient at a level of 1% in the eight regressions tested. This result contradicts the notion that more liquid firms would be more likely to take risks.</p>
			<p>Finally, we sought to control the effect of the firm’s life cycle on risk-taking. The variable Age presented negative coefficients in the four regressions in which it is used at a level of statistical significance of 1%. That is, the older the firm, the lower the expected risk-taking. In contrast, according to the dummy variables which sought to capture the firm’s life cycle, the more advanced the firm’s stage is, the lower the absolute value of the coefficient. That is, the smaller would be the negative impact on risk-taking.</p>
			<p>To test the robustness of the multiple regression model, we decided to create a paired sample of firms, that is, a sample composed of similar companies, but which differ in the classification between family and unfamiliar firms. The objective is to verify in isolation the effect of the family business on the risk taken by corporations.</p>
			<p>To perform the sample matching, we estimated the propensity score matching, which aims to create a control group as similar as possible to the treatment group - but which differ in the presence of the business family. Then, based on the paired sample of firms, it is possible to estimate the average treatment effect (ATE). The treatment variable used is the Fam1 and Fam2 dummies (which takes a value of one when the company is family-owned according to its criteria, and zero when not adopting). That is, it aims to demonstrate the impact of being a family business (treatment) on risk-taking. <xref ref-type="table" rid="t6">Table 6</xref> summarizes the results of the ATE.</p>
			<p>
				<table-wrap id="t6">
					<label>Table 6.</label>
					<caption>
						<title>ATE test</title>
					</caption>
					<table frame="hsides" rules="groups">
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col span="2"/>
						</colgroup>
						<thead>
							<tr>
								<th align="left"> </th>
								<th align="center">Coef</th>
								<th align="center">Robust Std. Err.</th>
								<th align="center">z</th>
								<th align="center">p &gt; |z|</th>
								<th align="center" colspan="2">[95% CI] </th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Fam1</td>
								<td align="center">97,83</td>
								<td align="center">22,38</td>
								<td align="center">-4,37</td>
								<td align="center">0,000</td>
								<td align="center">-141,70</td>
								<td align="center">-53,98</td>
							</tr>
							<tr>
								<td align="left">Fam2</td>
								<td align="center">-97,05</td>
								<td align="center">21,84</td>
								<td align="center">-4,44</td>
								<td align="center">0,000</td>
								<td align="center">-139,86</td>
								<td align="center">-54,25</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN7">
							<p>Source: Prepared by the authors.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</p>
			<p>The result of the mean treatment effect (ATE) was negative for Fam1 and Fam2. The analysis of the coefficient sign shows that the fact that it is a family firm has a negative impact on its risk-taking levels, even with the pairing of the sample. That is, we demonstrate that the business family seeks to incur less risk in the management of their companies since the proposed methodology aims to isolate this relationship - family business and risk-taking. In addition to negative, the coefficient is statistically significant at 1%.</p>
			<p>Several factors could explain the negative relationship between risk-taking and the presence of the business family. The first is the fact that family firms tend to take risks more efficiently given the alignment of equity between the firm and business family, and as a consequence, would take less risk proportionately than unfamiliar firms. This stance would be adopted to minimize the losses that may be incurred from a negative outcome since the family would share the residual return of decisions (<xref ref-type="bibr" rid="B25">Fama; Jensen, 1983</xref>; <xref ref-type="bibr" rid="B14">Chen; Hsu, 2009</xref>).</p>
			<p>Other factors may motivate this risk-taking profile, such as Family Socio-Emotional Heritage. Maintaining the affective relationship between members of the business family and the firm can restrict decisions that involve risk-taking. This fact would entail avoiding decisions that most expose the FSH to risk, even if it implies higher potential returns (<xref ref-type="bibr" rid="B29">Gomez-Mejía et al., 2007</xref>; <xref ref-type="bibr" rid="B19">Cucculelli; Breton-Miller; Miller, 2016</xref>).</p>
			<p>The business family can also avoid taking risks by aligning equity between the family and the firm. With family financial returns compromised by the firm’s performance, business families can make decisions in a way that does not maximize return but seeks to guarantee an acceptable part of it, setting a conservative stance (<xref ref-type="bibr" rid="B50">Pukall; Calabrò, 2014</xref>).</p>
		</sec>
		<sec sec-type="conclusions">
			<title>5. FINAL CONSIDERATIONS</title>
			<p>The main objective of this study was to analyze whether family firms are at less risk than non-familiar firms. For this, we elaborated on a literature review conducted on the two primary constructs worked: family firms and risk-taking. The literature we reviewed showed no consensus on the attitude of family firms to take risk. This evidence encouraged the present research to study the subject empirically through a sample of publicly traded companies in Brazil, a country with a large concentrated capital market.</p>
			<p>An empirical line of research gives family firms the risk aversion character. Given the concentration of equity of the business family invested in the firm, the firm chooses to prioritize the firm’s long-term survival over potential entrepreneurial opportunities that comprise the risk. Also contributing to risk aversion is the preservation of family socio-emotional heritage, which comprises a number of non-economic goals (<xref ref-type="bibr" rid="B39">Laffranchini; Braun, 2014</xref>). By contrast, another line of empirical research argues that business families encourage innovative behavior to gain competitive advantage, maximize shareholder return, and ensure firm longevity. To this end, it is inevitable to engage in initiatives that involve risk. The thin line that separates economic and non-economic objectives in family firms is what makes it difficult to predict the risk trends of this type of enterprise (<xref ref-type="bibr" rid="B29">Gómez-Mejía et al., 2007</xref>).</p>
			<p>The results found by this study are in line with the first group of empirical studies cited, i.e., there is evidence that family firms have a higher risk aversion than unfamiliar firms. Works such as <xref ref-type="bibr" rid="B14">Chen and Hsu (2009</xref>), <xref ref-type="bibr" rid="B3">Anderson et al. (2012</xref>), <xref ref-type="bibr" rid="B16">Chrisman et al. (2014</xref>), <xref ref-type="bibr" rid="B52">Sciascia et al. (2014</xref>), and <xref ref-type="bibr" rid="B37">Kellermanns et al. (2008</xref>) demonstrated this same phenomenon in other markets and periods. We believe that the Brazilian market, as it has a high shareholding concentration and a large number of family businesses, adds relevant information on the subject.</p>
			<p>This research, of course, presents some limitations and suggestions for future research that wishes to delve into the topics discussed here. We indicated research to analyze the heterogeneity among the group of family firms. Since this type of firm has been set up as a group, it would be interesting to understand how this type of firm differs from each other. For example, it would be interesting to understand which family generation is making firm decisions as well as whether the time that members of the family of business perform in the firm influence the type of choice they make. With the increasing evolution of information provided by firms listed on the Brazilian stock exchange, it is interesting that research uses available knowledge to generate relevant insights for agents dealing with publicly traded firms. We also suggest the elaboration of a continuous variable that expresses the intensity of the family presence, and not a dichotomous variable like the one used here. In addition to this, the combination of the risk-taking construct with other characteristics of firms that may influence their behavior, such as governance levels, is also encouraged. The two constructs worked here are quite large and allow much to be researched.</p>
		</sec>
	</body>
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	<!--<sub-article article-type="translation" id="s1" xml:lang="pt">
		<front-stub>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Artigo</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Uma Análise da Tomada de Risco em Firmas Familiares Listadas na B3</article-title>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0003-4815-3658</contrib-id>
					<name>
						<surname>Voelcker</surname>
						<given-names>Gabriel</given-names>
					</name>
					<xref ref-type="aff" rid="aff10"><sup>1</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0002-9097-7266</contrib-id>
					<name>
						<surname>Macagnan</surname>
						<given-names>Clea Beatriz</given-names>
					</name>
					<xref ref-type="aff" rid="aff10"><sup>1</sup></xref>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">0000-0001-6303-0555</contrib-id>
					<name>
						<surname>Vancin</surname>
						<given-names>Daniel</given-names>
					</name>
					<xref ref-type="aff" rid="aff10"><sup>1</sup></xref>
				</contrib>
				<aff id="aff10">
					<label>1</label>
					<institution content-type="original">Universidade do Vale do Rio dos Sinos, São Leopoldo, RS, Brasil</institution>
					<institution content-type="orgname">Universidade do Vale do Rio dos Sinos</institution>
					<addr-line>
						<city>São Leopoldo</city>
						<state>RS</state>
					</addr-line>
					<country country="BR">Brasil</country>
				</aff>
			</contrib-group>
			<author-notes>
				<corresp id="c10">
					<email>gvoelcker@gmail.com</email>
				</corresp>
				<corresp id="c20">
					<email>clea@unisinos.br</email>
				</corresp>
				<corresp id="c30">
					<email>daniel_vancin@hotmail.com</email>
				</corresp>
			</author-notes>
			<abstract>
				<title>RESUMO</title>
				<p>O presente trabalho aborda a relação estatística entre firmas familiares e tomada de risco. Procura-se contribuir para a crescente literatura em firmas familiares ao realizar uma revisão da literatura das características que as distinguem de firmas não familiares, buscando inovar ao pesquisar um construto pouco trabalhado com esse tipo de firma: a tomada de risco. Revisa-se a literatura sobre ambos os construtos, utilizando pressuposto teórico e trabalhos empíricos para formular-se a seguinte hipótese de pesquisa: firmas familiares são mais avessas à tomada de riscos do que firmas não familiares. Essa hipótese é testada empiricamente através de procedimentos econométricos em uma amostra de 1188 observações de companhias de capital aberto listadas na B3. Os resultados indicam um efeito negativo da presença familiar na tomada de risco das firmas. Conclui-se que os resultados corroboram a hipótese de que firmas familiares seriam mais avessas à tomada de riscos que firmas não familiares. </p>
			</abstract>
			<kwd-group xml:lang="pt">
				<title>PALAVRAS-CHAVE</title>
				<kwd>Firmas familiares</kwd>
				<kwd>Tomada de risco</kwd>
				<kwd>Tomada de decisão</kwd>
			</kwd-group>
		</front-stub>
		<body>
			<sec sec-type="intro">
				<title>1. INTRODUÇÃO</title>
				<p>No Brasil, as firmas familiares representam mais de 90% da totalidade do mercado (<xref ref-type="bibr" rid="B40">Laruccia &amp; Matias, 2015</xref>), indicando a relevância econômica e social desse perfil de organização e o papel que esta desempenha no sistema econômico do país. Por esse motivo, pesquisas recentes passaram a dar mais atenção a organizações classificadas como familiares e às motivações das famílias empresárias (Borges et al., 2012; <xref ref-type="bibr" rid="B9">Belmonte &amp; Freitas, 2013</xref>; <xref ref-type="bibr" rid="B55">Tres et al., 2014</xref>; <xref ref-type="bibr" rid="B18">Costa et al., 2014</xref>). </p>
				<p>Quando o acionista controlador da firma é uma família ou integrantes de uma família, possibilita-se que a família empresária participe ativamente das decisões tomadas para ela (<xref ref-type="bibr" rid="B21">de Vries, 1993</xref>). Sua propriedade e seu envolvimento na operação da companhia influenciam as decisões tomadas pela firma de maneira particular, acarretando uma outra dinâmica de relações (<xref ref-type="bibr" rid="B13">Casillas et al., 2011</xref>; <xref ref-type="bibr" rid="B51">Revilla et al., 2016</xref>).</p>
				<p>Dentre as decisões mais importantes que uma firma deve realizar está a tomada de risco. O risco é objeto de estudo de pesquisadores da área de economia, finanças e contabilidade há décadas, possuindo implicâncias nas mais diversas esferas (<xref ref-type="bibr" rid="B43">Markowitz, 1952</xref>; <xref ref-type="bibr" rid="B57">Sharpe, 1964</xref>; <xref ref-type="bibr" rid="B35">John et al., 2008</xref>; <xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). Risco é definido para a tomada de decisões como a incerteza associada ao retorno que uma escolha propicia (<xref ref-type="bibr" rid="B25">Fama, 1983</xref>; <xref ref-type="bibr" rid="B42">March; Shapira, 1987</xref>). A tomada de risco representa todas as decisões envolvendo risco que os administradores tomam, não focando em um tipo de risco específico, como risco tributário, por exemplo (<xref ref-type="bibr" rid="B35">John et al., 2008</xref>; <xref ref-type="bibr" rid="B24">Faccio et al., 2011</xref>). </p>
				<p>Os estudos sobre tomada de risco buscam entender os incentivos a que responde o tomador de decisão e como estes podem variar de acordo com uma gama de fatores (<xref ref-type="bibr" rid="B2">Amihud &amp; Lev, 1981</xref>; <xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). No caso das firmas, o administrador seria influenciado por suas preferências pessoais (<xref ref-type="bibr" rid="B25">Fama &amp; Jensen, 1983</xref>). Esse construto teórico foi formalizado na Teoria da Agência - ver Jensen e Meckling (<xref ref-type="bibr" rid="B34">1976</xref>), que aborda diversas repercussões da separação entre controle e propriedade. Dentre elas, encontram-se as preferências por risco dos administradores (<xref ref-type="bibr" rid="B23">Eisenhardt, 1989</xref>), que se comportam de maneira diferente caso estes também sejam proprietários da firma (no caso, famílias empresárias) e não profissionais externos cujo vínculo seja apenas administrar a firma.</p>
				<p>Nesse contexto, o objetivo da presente pesquisa é justamente investigar se firmas familiares são mais avessas ao risco do que firmas não familiares. Parte-se do pressuposto que o envolvimento familiar nas decisões de negócios afeta a forma com que as empresas tomam risco. Devido à concentração do patrimônio da família empresária investido na firma, esta opta por priorizar a sobrevivência da firma no longo prazo sobre eventuais oportunidades empreendedoras que compreendam risco. Também contribuindo para a aversão a riscos está a preservação do patrimônio socioemocional familiar, que compreende uma série de objetivos não econômicos (<xref ref-type="bibr" rid="B39">Laffranchini &amp; Braun, 2014</xref>).</p>
				<p>Este trabalho realiza testes empíricos com uma amostra brasileira para verificar se firmas familiares tomam mais risco que firmas não familiares. Os procedimentos econométricos procuram controlar diversas características da firma, tendo como variável de interesse uma <italic>dummy</italic> que segrega as firmas da amostra entre familiares e não familiares. Os dados coletados compreendem o período de 2010 a 2017 e foram submetidos a testes de diferença de média, regressões utilizando Mínimos Quadrados Ordinários e um teste de efeito médio do tratamento (<italic>average treatment effects</italic>), em que as firmas são pareadas por <italic>propensity score matching</italic>. Os resultados obtidos indicam que firmas familiares tomam menos risco do que firmas não familiares, ou seja, seriam mais avessas ao risco. </p>
				<p>A relevância deste trabalho reside em agregar conhecimento útil tanto para agentes internos quanto externos à firma. No âmbito interno, criam-se novas evidências sobre o impacto da presença familiar nas decisões de tomada de risco, fato útil tanto para o autoconhecimento de membros da família empresária como para os administradores que lidam com eles. No impacto externo à firma, agrega-se conhecimento aos quase 600.000 investidores ativos na B3 (Brasil Bolsa Balcão S.A.), bolsa de valores do Brasil, que se interessam pelo perfil das firmas listadas nas quais eles podem investir. Também se diferencia ao gerar <italic>insights</italic> sobre o mercado brasileiro, que possui um volume e um valor de negociação relevante em termos internacionais, enquanto a literatura revisada tem se dedicado a analisar mercados com menor concentração acionária e maior proteção ao acionista, como o americano, por exemplo.</p>
				<p>A pesquisa está dividida em cinco capítulos. O presente introduz o trabalho e sua estruturação. O próximo aborda a revisão da literatura, que trabalha os construtos de firma familiar e tomada de risco, culminando na formulação da hipótese. O terceiro capítulo apresenta a metodologia, descrevendo em detalhe os testes empíricos empregados. O quarto apresenta e analisa os resultados obtidos pela metodologia, enquanto o quinto e último capítulo apresenta as considerações finais do trabalho.</p>
			</sec>
			<sec>
				<title>2. REVISÃO DA LITERATURA</title>
				<sec>
					<title>2.1. Firmas Familiares</title>
					<p>Um dos desafios da literatura em firmas familiares é determinar os critérios que caracterizam uma firma como familiar (<xref ref-type="bibr" rid="B31">Handler, 1989</xref>). A imagem de uma firma familiar é comumente associada a uma organização de estrutura diminuta, especialmente porque elas representam a principal forma de estruturação de negócios em diversos países, inclusive no Brasil (<xref ref-type="bibr" rid="B18">Costa et al., 2014</xref>). Entretanto, pesquisas atestam a presença de famílias empresárias também como controladoras de firmas de grande porte (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>).</p>
					<p>Definir o que é uma firma familiar é uma etapa de grande relevância, sendo este o primeiro passo para entender seu funcionamento (<xref ref-type="bibr" rid="B41">Litz, 1995</xref>). Além disso, uma definição clara de firma familiar permite uma melhor escolha e padronização dos dados utilizados. Por exemplo, a afirmação de que 90% das firmas do Brasil são familiares (<xref ref-type="bibr" rid="B40">Laruccia &amp; Matias, 2015</xref>) depende, claramente, da definição de o que é firma familiar. A definição serve não apenas para elaborar um raciocínio das características que definem a firma familiar, mas para facilitar a amostragem e aplicação da metodologia em trabalhos empíricos como o presente. A literatura revisada não apresenta consenso sobre requisitos que uma vez preenchidos configuram uma organização como firma familiar (<xref ref-type="bibr" rid="B31">Handler, 1989</xref>). O que existe é uma série de características as quais tangenciam essa definição, aqui revistas para obter a definição a ser utilizada de firma familiar nesta pesquisa</p>
					<p>A primeira característica abordada é o controle acionário que a família empresária detém da firma. É esperado que, quando uma família empresária possua capacidades controladoras de uma firma, ela participe ativamente de seu negócio de modo a proteger seus interesses (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>; <xref ref-type="bibr" rid="B51">Revilla; Pérez-Luño &amp; Nieto, 2016</xref>). Tal envolvimento manifesta-se quando seus membros assumem posições na alta gerência e/ou participam do conselho administrativo da firma. Isto implica que a presença familiar pode permitir a manifestação das particularidades da família empresária em um comportamento diferente como administradores. Estudar essas particularidades ajuda a analisar os incentivos e motivações do funcionamento da firma familiar. Dentre essas particularidades, destacam-se seis: concentração do patrimônio financeiro familiar, Patrimônio Socioemocional Familiar (PSF), relacionamento entre membros da família, orientação de longo prazo, sucessão familiar e retenção de controle.</p>
					<p>A concentração de patrimônio financeiro familiar consiste no alinhamento de patrimônio entre firma e família empresária. Como a firma consiste em uma das partes mais essenciais da vida da família empresária, dado seu inevitável envolvimento nas mais diversas capacidades, membros da família empresária tendem a concentrar sua posição de investimento na firma mais do que outros administradores ou investidores (<xref ref-type="bibr" rid="B50">Pukall &amp; Calabrò, 2014</xref>). Tal posição não diversificada da família empresária resulta em uma postura diferenciada em relação às decisões tomadas (<xref ref-type="bibr" rid="B32">Huybrechts, Voordeckers, &amp; Lybaert, 2013</xref>).</p>
					<p>A segunda característica das firmas familiares no que diz respeito ao patrimônio familiar é o Patrimônio Socioemocional Familiar (PSF), um conceito elaborado por (<xref ref-type="bibr" rid="B29">Gómez-Mejía et al., 2007</xref>) que compreende os aspectos não financeiros da firma. Estes atendem às necessidades afetivas da família com sua firma, pois a primeira possui objetivos que não estão relacionados ao desempenho econômico da firma, podendo inclusive ser priorizados ao crescimento e à lucratividade da firma.</p>
					<p>Outro fator abordado pela literatura de firmas familiares é o relacionamento entre membros da firma familiar, que influencia a maneira como decisões estratégicas são tomadas em firmas familiares (<xref ref-type="bibr" rid="B12">Cater III &amp; Justis, 2009</xref>). Entende-se como positivo para o funcionamento do negócio que as famílias facilitem a comunicação e desburocratizem algumas relações, permitindo uma flexibilidade ímpar à sua operação baseando-se em relações de confiança e altruísmo (<xref ref-type="bibr" rid="B46">Miralles-Marcelo, Miralles-Quirós, &amp; Lisboa, 2014</xref>). Em contrapartida, os interesses distintos de cada membro da família empresária e sua relação longeva pode catalisar conflitos internos (<xref ref-type="bibr" rid="B33">Jayantilal, Jorge, &amp; Palacios, 2016</xref>). A firma familiar é especialmente exposta ao conflito pelos interesses particulares que as partes envolvidas possam ter com os familiares ou com o negócio e o histórico de suas relações.</p>
					<p>O quarto fator que é uma particularidade das firmas familiares é a orientação de longo prazo. Isto significa que decisões são tomadas tendo como horizonte o longo prazo das firmas familiares (<xref ref-type="bibr" rid="B50">Pukall; Calabrò, 2014</xref>). O principal propósito da orientação de longo prazo é garantir a sobrevivência da firma, uma vez que é majoritariamente de interesse da família empresária manter a firma sob seu controle (<xref ref-type="bibr" rid="B44">Martínez-Ferrero, Rodríguez-Ariza, &amp; Bermejo-Sánchez, 2016</xref>).</p>
					<p>A sucessão familiar é a quinta característica que influencia as famílias empresárias. Firmas familiares buscam, frequentemente, preservar o negócio à próxima geração (<xref ref-type="bibr" rid="B63">Zellweger, 2007</xref>). A sucessão familiar consiste na geração incumbente deixar de participar ativamente nas suas funções na estrutura da firma e ser sucedida, seja por seus herdeiros ou não (<xref ref-type="bibr" rid="B15">Chrisman, Chua, &amp; Steier, 2003</xref>).</p>
					<p>A sexta e última característica abordada é a retenção do controle. Como já exposto anteriormente, uma parte integrante da definição de firma familiar é o controle que as famílias empresárias possuem (<xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref>; <xref ref-type="bibr" rid="B44">Martínez-Ferrero, Rodríguez-Ariza, &amp; Bermejo-Sánchez, 2016</xref>). Além de possuir o controle, é de interesse delas construir um legado e passá-lo adiante para gerações futuras, e por isso a manutenção do seu controle torna-se uma prioridade (<xref ref-type="bibr" rid="B14">Chen; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B19">Cucculelli, Breton-Miller, &amp; Miller, 2016</xref>).</p>
					<p>Essas características da firma familiar a predispõem a algumas peculiaridades, especialmente no que diz respeito a quais decisões serão tomadas pelos administradores (<xref ref-type="bibr" rid="B47">Naldi et al., 2007</xref>). Diferentemente da extensa literatura em firmas familiares, que busca analisar diferença de desempenho quando comparadas com firmas não familiares, o presente trabalho procura identificar uma postura distinta para firmas familiares no construto tomada de risco.</p>
				</sec>
				<sec>
					<title>2.2. Tomada de Risco</title>
					<p>Na linha de pesquisa que aborda risco é comum deparar-se com estudos sobre o comportamento dos agentes em relação à tomada de risco (<xref ref-type="bibr" rid="B17">Coles et al., 2006</xref>). O risco para a tomada de decisões refere-se à incerteza probabilística dos retornos derivados de uma escolha (<xref ref-type="bibr" rid="B42">March &amp; Shapira, 1987</xref>). Esta seção aborda os incentivos catalisadores das decisões sob a ótica do agente econômico.</p>
					<p>O estudo sobre tomadas de decisão envolvendo risco foi inicialmente abordado em 1738 pelo matemático suíço Daniel Bernoulli quando este estudou a reação de indivíduos a propostas de apostas. Ele foi o primeiro a estudar aquilo que se tornaria a Teoria de Maximização da Utilidade, tendo notado que nem sempre as pessoas buscavam obter o maior ganho monetário possível quando tomavam decisões afetadas por incertezas, mas sim maximizar a sua utilidade. A utilidade representaria, em termos econômicos, a satisfação pessoal do agente.</p>
					<p>No Século XX, von Neumann e Morgenstein (<xref ref-type="bibr" rid="B60">2007</xref> [1945]) reacenderam o interesse no tópico quando reformularam a Teoria de Maximização da Utilidade. Desde então, essa teoria tem estado presente nos estudos sobre risco e tomada de decisões que envolvem risco (<xref ref-type="bibr" rid="B64">Zyphur et al., 2009</xref>). <xref ref-type="bibr" rid="B5">Arrow (1952</xref>) e <xref ref-type="bibr" rid="B1">Allais (1953</xref>) incorporaram a noção de risco a ideias econômicas clássicas. Eles mudaram o conceito de tomada de decisão ao identificar o risco como um fator determinante nas decisões que os agentes econômicos tomam. Estes devem tomar cada decisão dentre um conjunto de alternativas, de acordo com suas motivações, expectativas e incentivos (<xref ref-type="bibr" rid="B6">Atkinson, 1957</xref>). Esse comportamento varia de acordo com a caracterização econômica do agente tomador de decisões. Particularidades podem predispor alguns a serem mais avessos a riscos, enquanto outros prefeririam incorrer em mais riscos em busca de maiores retornos.</p>
					<p>O agente maximizador de utilidade é conhecido como Homo Economicus, que em teorias econômicas representa o humano como consistentemente racional e com interesses próprios, sempre procurando o ponto ótimo de alocação para os seus objetivos (<xref ref-type="bibr" rid="B54">Thaler &amp; Sunstein, 2009</xref>). Esse ponto ótimo é baseado no seu conceito de utilidade. A racionalidade econômica pressupõe que uma vez exposto a todas as alternativas de escolha, o agente é capaz de ordená-las por suas preferências. Assumir que o agente é perfeitamente racional implica que ele possuiria um conhecimento econômico preciso e abrangente, diferentemente do que se verifica empiricamente. Tal conceito foi extensivamente aplicado por estudos de natureza econômica nas mais diversas análises. </p>
					<p>Com o avanço da ciência econômica, inconsistências no pressuposto da racionalidade dos agentes passaram a ser ressaltadas em diversas linhas de pesquisa. Vários fatores que fazem com que o ser humano não aja de acordo com o comportamento racional maximizador de utilidade foram identificados, e com isso o conceito passou a receber críticas. Uma das linhas de pesquisa que mais se destacou por criticar o conceito de maximização da utilidade foi a Economia Comportamental, que expõe como o ser humano sistematicamente toma suas decisões, as quais são contraditórias e não maximizadoras de utilidade (Kahneman &amp; <xref ref-type="bibr" rid="B56">Tversky, 1979</xref>). Além de sistematicamente diferirem do agente racional clássico, o comportamento dos indivíduos também diferiria entre si de acordo com as particularidades de cada um (<xref ref-type="bibr" rid="B30">Guay, 1999</xref>). </p>
					<p>O processo de tomada de decisão é então influenciado por fatores além da maximização de utilidade e exteriores ao âmbito econômico. Isso permite traçar perfis e analisar padrões de comportamento. Pesquisas que analisam decisões sob a ótica da tomada de risco buscam entender como os agentes possuem um comportamento diferente dependendo das suas alternativas de decisão e características. Estas podem variar desde traços pessoais à maneira como a firma é estruturada (<xref ref-type="bibr" rid="B140">Chen &amp; Vann, 2017</xref>). </p>
					<p>Esses desvios da teoria abrem interpretação para a subjetividade da decisão, o que torna ainda mais relevante entender o agente que a toma e seus incentivos. Essa heterogeneidade intra-agentes também está presente nos tomadores de decisões em firmas de capital aberto, os quais podem ser diferentes por vários fatores, ressaltando-se o tipo de propriedade e controle da firma (<xref ref-type="bibr" rid="B26">Fernandez &amp; Nieto, 2006</xref>). A próxima seção revisa trabalhos empíricos sobre o comportamento perante tomada de risco de firmas familiares e elabora a hipótese de pesquisa.</p>
				</sec>
				<sec>
					<title>2.3. Tomada de Risco em Empresas Familiares</title>
					<p>Conforme explicitado na seção anterior, o processo de tomada de decisão é influenciado por fatores além da maximização de utilidade e exteriores ao âmbito econômico. A literatura revisada aponta como o perfil pessoal de cada tomador de decisões influencia seu comportamento (<xref ref-type="bibr" rid="B6">Atkinson, 1957</xref>; <xref ref-type="bibr" rid="B35">John et al., 2008</xref>). Ao decidir entre várias alternativas, ele age de acordo com suas motivações, expectativas e incentivos. Estes podem ser motivados por benefícios próprios, alinhando seu patrimônio com o resultado da firma e assumindo posições de maior risco, como também pela estabilidade da sua posição, neste caso apresentando um comportamento mais conservador, por exemplo.</p>
					<p>Há uma carência de literatura abordando a circunstância em que a tomada de risco é influenciada pela presença de uma família empresária na firma (<xref ref-type="bibr" rid="B45">Memili et al., 2010</xref>). Uma linha de pesquisa empírica atribui às firmas familiares o caráter de aversão a riscos. Dada a concentração de patrimônio da família empresária investido na firma, esta optaria por priorizar a sobrevivência da firma no longo prazo sobre eventuais oportunidades empreendedoras que compreendam risco, por exemplo. Isso implica que suas decisões são tomadas pensando na sua continuidade e não apenas buscando um retorno de curto prazo, como várias firmas de capital aberto são pressionadas a operar (<xref ref-type="bibr" rid="B21">de Vries, 1993</xref>).</p>
					<p>Também contribuindo para a aversão a riscos está a preservação do Patrimônio Socioemocional Familiar (PSF), que compreende uma série de objetivos não econômicos (<xref ref-type="bibr" rid="B39">Laffranchini &amp; Braun, 2014</xref>). O PSF manifesta-se de várias maneiras, como na identificação com a firma ou o altruísmo entre membros da família empresária. A perda do PSF implica perda de status reconhecido na sociedade e no núcleo familiar, sentimento de fracasso perante as expectativas familiares e decréscimo do vínculo com o negócio.</p>
					<p>Levando em consideração os trabalhos revisados e a relevância do tema, formula-se a seguinte hipótese de pesquisa:</p>
					<p>H1: Firmas familiares possuem maior aversão à tomada de risco que firmas não familiares.</p>
					<p>Toda decisão tomada pela família empresária é conectada com o patrimônio familiar, o que influencia as atividades nas quais a firma se engaja (Memili et al., 2011). A concentração de patrimônio da família na firma auxilia a criar relações de longo prazo com os outros acionistas e com clientes (<xref ref-type="bibr" rid="B45">Memili et al., 2010</xref>). Com um patrimônio, não diversificado, investido predominantemente na firma, espera-se que a motivação da família empresária em criar um legado para a sua imagem e para as gerações subsequentes seja maior do que a de, por exemplo, administradores sem capital investido na firma (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>). Tal concentração de patrimônio facilita o alinhamento de interesses dos acionistas, de modo que decisões sejam tomadas com menos conflito e burocracia (<xref ref-type="bibr" rid="B11">Carrasco-Hernandez &amp; Sánchez-Marín, 2007</xref>). </p>
					<p>A concentração de patrimônio também aumenta a capacidade de monitorar o negócio da família empresária, participando mais ativamente das decisões do que outros tipos de acionistas (<xref ref-type="bibr" rid="B190">Braun &amp; Sharma, 2007</xref>). Resume-se a posição acionária da família empresária como pouco diversificada, concentrando-se na firma familiar e consequentemente alinhada com o seu desempenho financeiro. Nesse contexto, espera-se então que empresas familiares possuam maior aversão à tomada de risco que firmas não familiares, pois a família empresária é o acionista com maior potencial de perda, seja em termos de retorno ou do próprio patrimônio investido na firma. Isso acontece porque há uma concomitância entre a posição econômica da firma e da família empresária. Essa posição de patrimônio não diversificada da família empresária resulta em uma postura diferenciada em relação às decisões tomadas (<xref ref-type="bibr" rid="B32">Huybrechts et al., 2013</xref>).</p>
					<p>Para testar empiricamente a hipótese formulada, aplicou-se a metodologia econométrica exposta no próximo capítulo.</p>
				</sec>
			</sec>
			<sec sec-type="methods">
				<title>3. METODOLOGIA E AMOSTRA</title>
				<p>São realizados três procedimentos econométricos: um teste de diferença de médias, um teste da hipótese de pesquisa e uma estimação do efeito médio do tratamento (<xref ref-type="bibr" rid="B20">Davidson &amp; Mackinnon, 2004</xref>). O objetivo do primeiro teste é verificar se as variáveis se comportam de maneira estatisticamente distintas de acordo com o status da firma: familiar ou não. </p>
				<p>O segundo procedimento econométrico é um modelo de regressão do tipo Mínimos Quadrados Ordinários (MQO) e que tem por objetivo testar a hipótese de pesquisa. Para isso, roda-se o modelo especificado na Equação 1, em que características das firmas são controladas com o objetivo de isolar o efeito da presença familiar na tomada de risco das firmas. São utilizadas oito combinações distintas de variáveis nos testes de MQO e, portanto, rodado o mesmo número de regressões distintas para esse modelo.</p>
                
				<p>
	<disp-formula id="e10">
			<mml:math id="m10" display="block">

		<mml:msub><mml:mrow><mml:mi>T</mml:mi><mml:mi>o</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi> </mml:mi><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi> </mml:mi><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>F</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mi mathvariant="normal">í</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>ε</mml:mi></mml:math>
		
		<label>(1)</label>
	</disp-formula>
</p>
                
                <p>Onde:</p>
				<p>Tomada de Risco<sub>t</sub> = tomada de risco das firmas no período t.</p>
				<p>Família<sub>t</sub> = variável que indica a presença familiar na firma no período t.</p>
				<p>Controles<sub>t</sub> = variáveis de controle do modelo no período t. ε = termo de erro da regressão.</p>
				<p>O β<sub>1</sub> é o parâmetro de interesse da pesquisa, indicando a relação entre presença familiar e tomada de risco. Sua significância estatística negativa indicaria que a presença familiar possui um impacto negativo na variável dependente, tomada de risco, e consequentemente que a firma familiar seria avessa a tomar riscos. O oposto também é verificável, ou seja, caso o parâmetro seja positivo, a presença familiar em firmas indicaria maior propensão à tomada de risco. Em caso de ausência de significância estatística, não haveria indícios de que firmas familiares comportam-se de maneira distinta de firmas não familiares.</p>
				<p>Para construção da variável dependente, que busca expressar o nível de tomada de risco das firmas, utiliza-se uma metodologia derivada da aplicada em <xref ref-type="bibr" rid="B35">John, Litov e Yeung (2008</xref>) e <xref ref-type="bibr" rid="B24">Faccio, Marchica e Mura (2011</xref>). Mede-se a volatilidade do retorno sobre ativos (<italic>Return on Assets</italic>, doravante ROA) em um período de quatro anos, isto é, de t a t+3. O racional utilizado para calcular-se o ROA é apresentado na Equação 2.</p>
                <p>
	<disp-formula id="e20">
			<mml:math id="m20" display="block">

		<mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi><mml:mi>B</mml:mi><mml:mi>I</mml:mi><mml:mi>T</mml:mi><mml:mi>D</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>A</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>o</mml:mi><mml:mi> </mml:mi><mml:mi>T</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math>
		
		<label>(2)</label>
	</disp-formula>
</p>
				<p>Onde:</p>
				<p><italic>EBITDA</italic>
 <sub>
 <italic>t</italic> 
</sub> = indica os lucros antes de juros, impostos, depreciação e amortização (<italic>earnings before interest, taxes, depreciation, and amortization</italic>) da firma no período t.</p>
				<p><italic>Ativo Total</italic>
 <sub>
 <italic>t</italic> 
</sub> = Ativo total da firma no período t.</p>
				<p>Assume-se que a configuração da firma em t implica as decisões que influenciam os níveis de tomada de risco nos períodos subsequentes, e por isso avalia-se a volatilidade do ROA nos três anos subsequentes ao período t da firma. Ou seja, acredita-se que a decisão tomada em t vai influenciar os resultados futuros (de t até t+3). Para controlar os efeitos de cada indústria, utiliza-se o ROA médio de cada segmento industrial presente na B3 no período analisado. A classificação da indústria utilizada foi aquela definida pela B3. Subtrai-se do ROA de cada firma o ROA médio de sua respectiva indústria no mesmo período, para então calcular-se o desvio-padrão dessa diferença utilizando os valores entre t e t+3. Em suma, essa medida está avaliando o quanto aquela companhia varia a mais ou menos seu resultado em comparação aos seus pares, sendo esse fenômeno uma proxy para a tomada de risco. A Equação 3 indica como é calculada a medida de tomada de risco utilizando o ROA.</p>
                <p>
	<disp-formula id="e30">
			<mml:math id="m30" display="block">

		<mml:msub><mml:mrow><mml:mi>T</mml:mi><mml:mi>o</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi> </mml:mi><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi> </mml:mi><mml:mi>R</mml:mi><mml:mi>i</mml:mi><mml:mi>s</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>σ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub><mml:mo>–</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi>R</mml:mi><mml:mi>O</mml:mi><mml:mi>A</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:mover><mml:mo>_</mml:mo><mml:msub><mml:mrow><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mi> </mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal"> </mml:mi><mml:mn>3</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:math>
		<label>(3)</label>
	</disp-formula>
</p>
				<p>A escolha por essa construção de variável que representa tomada de risco neste trabalho é um diferencial da pesquisa. Trabalhos anteriores que estudaram firmas familiares e tomada de risco utilizaram, majoritariamente, Pesquisa e Desenvolvimento como <italic>proxy</italic> para tomada de Risco (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>). Além de remover a influência das particularidades de cada indústria, isso gera uma medida de tomada de risco particularmente focada nas decisões tomadas pela firma (<xref ref-type="bibr" rid="B35">John, Litov, &amp; Yeung, 2008</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>).</p>
				<p>As variáveis independentes buscam explicar a variável dependente, sendo divididas entre de interesse e controle. A variável de interesse procura representar a presença familiar na firma. As variáveis de controle compreendem outros efeitos que o modelo econométrico busca isolar os quais influenciam a tomada de risco.</p>
				<p>A variável de interesse da pesquisa classifica a firma como familiar ou não. Para isso, é utilizada uma variável <italic>dummy</italic>, que assume o valor de 1 se a firma for considerada familiar e 0 se não o for. Para ser classificada como familiar, uma firma deve atender a dois critérios em conformidade com as noções previamente abordadas na revisão da literatura. O primeiro critério é que esta possua ao menos um membro da família empresária como acionista controlador. A definição de controlador é divulgada pelas próprias firmas em seus Formulários de Referência, seção 15.1/15.2. Por conta de obrigações legais que as firmas devem cumprir para estarem listadas no mercado acionário brasileiro, elas divulgam informações periodicamente que discriminam quais são os seus acionistas e quais são os seus controladores. O segundo critério exige que o controlador da firma tenha indicado ao menos um membro para o conselho administrativo naquele período. Alinhada com a noção de que não basta possuir concentração acionária de uma família empresária para a firma ser considerada familiar, assume-se que é necessário também que haja envolvimento ativo na firma. Por isso, utilizam-se as informações disponíveis sobre quem são os membros do conselho administrativo da firma, discriminando se e quais membros foram indicados pelo controlador. Estes representariam os interesses da família empresária no conselho de administração. Tal definição de presença familiar compõe a variável <bold>Fam1</bold>.</p>
				<p>Porém, como abordado na revisão da literatura, a definição de firma familiar é ampla e não possui consenso. Por isso, elabora-se outra variável que busca expressar o status familiar da firma: <bold>Fam2</bold>. Esta é menos rígida do que Fam1, com apenas um critério: possuir ao menos um membro da família empresária como acionista controlador. Assumindo que firmas familiares possuam um comportamento diferenciado em relação a firmas não familiares, é esperado que o efeito seja menos pronunciado ao utilizar uma variável que seja menos restritiva das características familiares (<xref ref-type="bibr" rid="B59">Villalonga &amp; Amit, 2006</xref>).</p>
				<p>Uma série de variáveis é incluída no cálculo econométrico para controlar o efeito de outros fatores que influenciam a tomada de risco das firmas (sumarizadas na <xref ref-type="table" rid="t10">Tabela 1</xref>). Procura-se controlar as seguintes características das observações das firmas: desempenho (razão entre lucro líquido e patrimônio líquido), tamanho (logaritmo do ativo total), quantidade de membros do conselho de administração, a proporção destes que é externa, oportunidades de investimento (soma do valor de mercado da firma + total de suas dívidas dividido pelo ativo total), liquidez (fluxo de caixa dividido pelo ativo total), ciclo de vida (explicado a seguir), retorno acionário e o ano da observação (<xref ref-type="bibr" rid="B35">John, Litov, &amp; Yeung, 2008</xref>; <xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B22">Dickinson, 2011</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>; <xref ref-type="bibr" rid="B38">Kuang &amp; Qin, 2013</xref>; <xref ref-type="bibr" rid="B7">Avrichir, Meneses, &amp; Santos, 2016</xref>; <xref ref-type="bibr" rid="B58">Vancin &amp; Procianoy, 2016</xref>).</p>
				<p>
					<table-wrap id="t10">
						<label>Tabela 1.</label>
						<caption>
							<title>Variáveis de Controle</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
							</colgroup>
							<thead>
								<tr>
									<th align="left">Variável</th>
									<th align="center">Equação</th>
									<th align="center">Referências</th>
									<th align="center">Razão Teórica</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">Tamanho</td>
									<td align="left">logaritmo natural do Ativo Total da firma em t.</td>
									<td align="left">
										<xref ref-type="bibr" rid="B61">Zahra 2005</xref>; <xref ref-type="bibr" rid="B160">Chrisman &amp; Patel, 2012</xref>; <xref ref-type="bibr" rid="B58">Vancin &amp; Procianoy, 2016</xref>.</td>
									<td align="left">Quanto maior a firma, maior a probabilidade de ela resistir a mudanças e inovações.</td>
								</tr>
								<tr>
									<td align="left">Desempenho</td>
									<td align="left">Razão entre lucro líquido e patrimônio líquido.</td>
									<td align="left">
										<xref ref-type="bibr" rid="B61">Zahra, 2005</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>.</td>
									<td align="left">Um histórico recente bem-sucedido inibiria os administradores de procurarem atividades empreendedoras arriscadas dada sua satisfação com a situação da firma.</td>
								</tr>
								<tr>
									<td align="left">Conselheiros</td>
									<td align="left">Número de conselheiros</td>
									<td align="left">
										<xref ref-type="bibr" rid="B28">Goodstein, Gautam, &amp; Boeker, 1994</xref> e <xref ref-type="bibr" rid="B62">Zahra et al., 2004</xref>.</td>
									<td align="left">É considerado mais difícil tomar decisões arriscadas quando o quórum que decide é maior.</td>
								</tr>
								<tr>
									<td align="left">Externos</td>
									<td align="left">Razão entre o número de conselheiros externos e o total existente.</td>
									<td align="left"><xref ref-type="bibr" rid="B4">Anderson &amp; Reeb, 2003</xref> e <xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>
									</td>
									<td align="left">Esta característica influencia o quanto se monitora a administração e permite a inclusão de visões de membros alheios à rotina da firma.</td>
								</tr>
								<tr>
									<td align="left">Oportunidades</td>
									<td align="left">Soma do valor de mercado e dividas dividido pelo ativo total</td>
									<td align="left">
										<xref ref-type="bibr" rid="B53">Smith &amp; Stulz, 1985</xref>; <xref ref-type="bibr" rid="B36">Kammler &amp; Alves, 2009</xref> e <xref ref-type="bibr" rid="B8">Belkhir &amp; Chazi, 2010</xref>.</td>
									<td align="left">Quanto mais oportunidades de investimento, mais a firma tenderia a envolver-se com novos projetos e teria respaldo para tomar risco.</td>
								</tr>
								<tr>
									<td align="left">Liquidez</td>
									<td align="left">Fluxo de caixa dividido pelo Ativo Total</td>
									<td align="left">
										<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>; <xref ref-type="bibr" rid="B460">Muñoz-Bullón &amp; Sanchez-Bueno, 2011</xref>.</td>
									<td align="left">Espera-se que quanto mais liquidez a firma possuir, mais predisposta ela estará a tomar riscos, e vice-versa.</td>
								</tr>
								<tr>
									<td align="left">Idade</td>
									<td align="left">Número de anos desde a fundação</td>
									<td align="left">
										<xref ref-type="bibr" rid="B22">Dickinson, 2011</xref> e <xref ref-type="bibr" rid="B24">Faccio, Marchica &amp; Mura, 2011</xref>.</td>
									<td align="left">É esperado que o nível de tomada de risco diminua com a idade da firma.</td>
								</tr>
								<tr>
									<td align="left">Retorno</td>
									<td align="left">Preço da ação em t divido pelo preço em t-1 menos um.</td>
									<td align="left">
										<xref ref-type="bibr" rid="B38">Kuang &amp; Qin, 2013</xref> e <xref ref-type="bibr" rid="B230">Elsilä, 2015</xref></td>
									<td align="left">Empresas que tomam mais risco, em média, deveriam apresentar maiores retornos.</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN8">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>Ao utilizar uma variável para representar o ciclo de vida de cada firma, controlam-se as diferenças do estágio de desenvolvimento em que a firma se encontra, uma vez que é esperado que o nível de tomada de risco diminua com a idade da firma. Também contribui para controlar fatores como maturação de produtos e curvas de aprendizado e experiência. São utilizadas duas variáveis distintas para tentar capturar o efeito do ciclo de vida. A primeira variável que busca controlar essa relação denomina-se Idade, e seu cálculo representa a quantidade de anos desde o IPO da companhia (<xref ref-type="bibr" rid="B22">Dickinson, 2011</xref>; <xref ref-type="bibr" rid="B24">Faccio, Marchica, &amp; Mura, 2011</xref>).</p>
				<p>Outra proxy que busca captar o ciclo de vida utiliza uma metodologia derivada de <xref ref-type="bibr" rid="B22">Dickinson (2011</xref>). Utilizam-se dados sobre os fluxos de caixa de operações(FCO), de investimentos(FCI) e de atividades de financiamento(FCF). De acordo com o valor de cada uma dessas três variáveis, classifica-se o ciclo de vida no qual a firma se encontra entre: Introdução, Crescimento, Maturação, Declínio e Reorganização. Utilizam-se variáveis dummy para identificar cada um desses estágios no modelo de regressão, que assumem o valor 1 quando o critério de cada variável é correspondido. Seus cálculos estão explicitados nas Equações 4, 5, 6, 7 e 8.</p>
                 
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</p>   		
                <p>O terceiro teste utilizado procura estimar o efeito médio do tratamento. Esse teste é realizado para complementar as regressões de Mínimos Quadrados Ordinários. Utilizando as mesmas variáveis elaboradas para o MQO, a amostra é separada entre dois grupos: firmas familiares (tratamento) e não familiares (controle). Novamente são utilizadas as variáveis Fam1 e Fam2 para realizar essa distinção. Cada firma familiar é pareada com outra, sendo esse processo realizado de acordo com a maior similaridade possível entre os valores das variáveis de controle. Utilizando esse mecanismo conhecido como <italic>propensity score matching</italic>, busca-se observar qual o impacto da presença familiar na variável dependente, Tomada de Risco. De acordo com o sinal do coeficiente verificado, pode-se atestar se há indícios de um impacto estatisticamente significante, seja este positivo ou negativo, ou não da presença familiar na tomada de risco.</p>
				<p>Por fim, a última parte a ser abordada da metodologia empregada é a amostra. Ela contém as firmas abertas do mercado acionário brasileiro, a B3, ativas em todo ou parte do período entre 2010 e 2017. Os dados foram coletados a partir de 2010 porque foi nesse período que o Brasil aderiu ao <italic>International Financial Reporting Standards</italic> (IFRS), possibilitando a obtenção de informações padronizadas. Todas as informações utilizadas foram coletadas de duas fontes de dados.</p>
				<p>A primeira consiste nos Formulários de Referência que a Comissão de Valores Mobiliários (CVM) disponibiliza. Todas as informações coletadas estão contidas nas seções 12, Assembleia e Administração, e 15, Controle e Grupo Econômico. Tratando os dados no <italic>software</italic> estatístico RStudio, que utiliza programação em R, foi possível organizar as informações sobre as famílias empresárias. Nele mecanizou-se a coleta de dados, obtendo, via o pacote GetDFPData (<xref ref-type="bibr" rid="B48">Perlin, Kirch, &amp; Vancin, 2018</xref>), todas informações necessárias dos Formulários de Referência.</p>
				<p>O restante das informações foi obtido através do software Economática. Para simplificação do trabalho, todos os dados coletados com sua cotação em reais (R$) foram divididos por 1.000, para aliviar a magnitude dos cálculos (<xref ref-type="bibr" rid="B59">Villalonga &amp; Amit, 2006</xref>). Também foram desconsideradas todas as observações que não possuíam dados completos de valor de mercado. Por fim, winsorizam-se todas as informações coletadas a um nível de 2,5% antes do cálculo de cada variável, com o intuito de excluir possíveis <italic>outliers</italic> da amostra. Seguindo as sugestões de um revisor anônimo e como um teste de robustez, reestimamos nossas regressões originais usando o parâmetro de 1\% na winsorização. Os resultados permaneceram basicamente inalterados.</p>
				<p>A amostra inicial foi composta por 1.737 observações de empresas brasileiras de capital aberto listadas na B3. Destas, 455 não possuíam dados para a variável liquidez, e 94 não possuíam informações suficientes para a construção das demais variáveis. Assim, a amostra final é constituída por 1188 observações. Das 1188 observações da amostra, 431 são referentes a firmas familiares de acordo com o critério da variável Fam1. Isso indica que 36,28% das firmas da amostra são familiares. A proporção entre firmas familiares e não familiares em cada ano coletado está ilustrada pela <xref ref-type="table" rid="t20">Tabela 2</xref>. Em todos os anos da amostra visualiza-se uma predominância de firmas não familiares, que possuem uma representatividade superior a 60% das firmas analisadas.</p>
				<p>
					<table-wrap id="t20">
						<label>Tabela 2.</label>
						<caption>
							<title>Amostra</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
							</colgroup>
							<thead>
								<tr>
									<th align="left">Ano</th>
									<th align="center">Firmas Familiares</th>
									<th align="center">% FF</th>
									<th align="center">Firmas Não Familiares</th>
									<th align="center" rowspan="2">%FNF</th>
									<th align="center" rowspan="2">Total</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left" colspan="6">Painel A: Critério Fam1</td>
								</tr>
								<tr>
									<td align="left">2010</td>
									<td align="center">92</td>
									<td align="center">39,48%</td>
									<td align="center">141</td>
									<td align="center">60,52%</td>
									<td align="center">233</td>
								</tr>
								<tr>
									<td align="left">2011</td>
									<td align="center">78</td>
									<td align="center">33,62%</td>
									<td align="center">154</td>
									<td align="center">66,38%</td>
									<td align="center">232</td>
								</tr>
								<tr>
									<td align="left">2012</td>
									<td align="center">77</td>
									<td align="center">32,22%</td>
									<td align="center">162</td>
									<td align="center">67,78%</td>
									<td align="center">239</td>
								</tr>
								<tr>
									<td align="left">2013</td>
									<td align="center">93</td>
									<td align="center">38,91%</td>
									<td align="center">146</td>
									<td align="center">61,09%</td>
									<td align="center">239</td>
								</tr>
								<tr>
									<td align="left">2014</td>
									<td align="center">91</td>
									<td align="center">37,14%</td>
									<td align="center">154</td>
									<td align="center">62,86%</td>
									<td align="center">245</td>
								</tr>
								<tr>
									<td align="left">Total</td>
									<td align="center">431</td>
									<td align="center">36,28%</td>
									<td align="center">757</td>
									<td align="center">63,72%</td>
									<td align="center">1188</td>
								</tr>
								<tr>
									<td align="left" colspan="6">Painel B: Critério Fam2</td>
								</tr>
								<tr>
									<td align="left">2010</td>
									<td align="center">97</td>
									<td align="center">41,63%</td>
									<td align="center">136</td>
									<td align="center">58,37%</td>
									<td align="center">233</td>
								</tr>
								<tr>
									<td align="left">2011</td>
									<td align="center">82</td>
									<td align="center">35,34%</td>
									<td align="center">150</td>
									<td align="center">64,66%</td>
									<td align="center">232</td>
								</tr>
								<tr>
									<td align="left">2012</td>
									<td align="center">80</td>
									<td align="center">33,47%</td>
									<td align="center">159</td>
									<td align="center">66,53%</td>
									<td align="center">239</td>
								</tr>
								<tr>
									<td align="left">2013</td>
									<td align="center">96</td>
									<td align="center">40,17%</td>
									<td align="center">143</td>
									<td align="center">59,83%</td>
									<td align="center">239</td>
								</tr>
								<tr>
									<td align="left">2014</td>
									<td align="center">94</td>
									<td align="center">38,37%</td>
									<td align="center">151</td>
									<td align="center">61,63%</td>
									<td align="center">245</td>
								</tr>
								<tr>
									<td align="left">Total</td>
									<td align="center">448</td>
									<td align="center">37,79%</td>
									<td align="center">740</td>
									<td align="center">62,21%</td>
									<td align="center">1188</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN9">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>Tendo abordado a metodologia empregada, o próximo capítulo apresenta os resultados obtidos.</p>
			</sec>
			<sec sec-type="results">
				<title>4. RESULTADOS</title>
				<p>Este capítulo apresenta os resultados do trabalho. Primeiramente, abordam-se as estatísticas descritivas da amostra como um todo. Após, distinguem-se firmas familiares de não familiares, realizando o teste T para diferença de médias. Em seguida, testa-se empiricamente a hipótese através de um modelo de Mínimos Quadrados Ordinários. Por fim, apresentam-se os resultados da estimação do efeito médio de tratamento.</p>
				<p>A amostra completa contém 1188 observações. As estatísticas descritivas de todas as variáveis que não são <italic>dummy</italic> utilizadas estão apresentadas na <xref ref-type="table" rid="t30">Tabela 3</xref>. As observações da variável dependente concentram-se em valores próximos a zero. É de interesse dos administradores, avessos a riscos, que esse valor seja o menor possível, pois quanto menor o valor do desvio-padrão do ROA nos quatro anos que contemplam a observação, menor a tomada de risco assumida pelas firmas. Observa-se que a média dos valores é 0,601, superior à mediana e inclusive ao valor que delimita o terceiro quartil, dada a existência de valores de proporções maiores que consequentemente elevam a média.</p>
				<p>
					<table-wrap id="t30">
						<label>Tabela 3.</label>
						<caption>
							<title>Estatísticas Descritivas</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
							</colgroup>
							<thead>
								<tr>
									<th align="left">Estatística</th>
									<th align="center">Mín.</th>
									<th align="center">1<sup>o</sup> Q.</th>
									<th align="center">Mediana</th>
									<th align="center">Média</th>
									<th align="center">3<sup>o</sup> Q.</th>
									<th align="center">Máx.</th>
									<th align="center">σ</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">Tomada de Risco</td>
									<td align="center">0,004</td>
									<td align="center">0,046</td>
									<td align="center">0,077</td>
									<td align="center">0.601</td>
									<td align="center">0,308</td>
									<td align="center">28,108</td>
									<td align="center">0,449</td>
								</tr>
								<tr>
									<td align="left">Tamanho</td>
									<td align="center">0,699</td>
									<td align="center">5,549</td>
									<td align="center">6,238</td>
									<td align="center">5,996</td>
									<td align="center">6,724</td>
									<td align="center">8,899</td>
									<td align="center">1,336</td>
								</tr>
								<tr>
									<td align="left">Desempenho</td>
									<td align="center">-56,11</td>
									<td align="center">0,006</td>
									<td align="center">0,089</td>
									<td align="center">-0,07</td>
									<td align="center">0,185</td>
									<td align="center">29,476</td>
									<td align="center">24,832</td>
								</tr>
								<tr>
									<td align="left">Conselho</td>
									<td align="center">1</td>
									<td align="center">7</td>
									<td align="center">13</td>
									<td align="center">14,27</td>
									<td align="center">19</td>
									<td align="center">52</td>
									<td align="center">11,68</td>
								</tr>
								<tr>
									<td align="left">Externos</td>
									<td align="center">0,000</td>
									<td align="center">0,000</td>
									<td align="center">0,034</td>
									<td align="center">0,093</td>
									<td align="center">0,167</td>
									<td align="center">1</td>
									<td align="center">0,112</td>
								</tr>
								<tr>
									<td align="left">Oportunidades</td>
									<td align="center">0,000</td>
									<td align="center">0,381</td>
									<td align="center">0,718</td>
									<td align="center">1,18</td>
									<td align="center">1,22</td>
									<td align="center">57,819</td>
									<td align="center">5,326</td>
								</tr>
								<tr>
									<td align="left">Liquidez</td>
									<td align="center">-21,0</td>
									<td align="center">0,018</td>
									<td align="center">0,083</td>
									<td align="center">-0,072</td>
									<td align="center">0,143</td>
									<td align="center">3,174</td>
									<td align="center">0,005</td>
								</tr>
								<tr>
									<td align="left">Idade</td>
									<td align="center">0,0</td>
									<td align="center">13</td>
									<td align="center">31</td>
									<td align="center">37,63</td>
									<td align="center">57</td>
									<td align="center">144</td>
									<td align="center">8,764</td>
								</tr>
								<tr>
									<td align="left">Retorno</td>
									<td align="center">-84,27</td>
									<td align="center">-14,905</td>
									<td align="center">0,000</td>
									<td align="center">2,147</td>
									<td align="center">11,131</td>
									<td align="center">502,311</td>
									<td align="center">27,43</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN10">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>A variável Tamanho, por ser uma função logarítmica, apresenta valores proporcionalmente próximos. Observa-se um valor médio de 5,996 e a mediana de 6,238. A variável Desempenho apresenta valor médio de -0,007 e mediana de 0,089. Algumas observações apresentam uma magnitude de Lucro Líquido considerável frente ao valor do Patrimônio Líquido, seja positivo ou negativo. Por isso, essa variável possui valores proporcionalmente díspares da média. O valor de corte do primeiro quartil indica que a maioria dos valores para essa variável são positivos. O valor do desvio-padrão indica que o segundo e o terceiro quartil inteiro encontram-se dentro de um desvio-padrão.</p>
				<p>Sobre a variável Conselheiros, observou-se que todas as firmas da amostra possuem ao menos um conselheiro. Várias firmas possuem apenas um conselheiro, enquanto a Duratex em 2010 apresenta o maior número de conselheiros: 52. Em média, as firmas possuem 14,27 conselheiros, contando ativos e suplentes, com uma mediana de 13. Os valores do 1º quartil, da média e do 3º quartil permitem inferir quais os valores de corte para a metodologia alternativa que busca controlar o impacto do número de conselheiros. O primeiro quartil contempla as firmas que possuem de um a sete conselheiros; o segundo quartil, de sete até 13; o terceiro, de 13 a 19 membros; e o quarto, de 19 até o previamente citado máximo de 52. Dentre os conselheiros, em média um a cada 12 são externos à firma aproximadamente, o que configura uma predominância de conselheiros que já fazem parte da dinâmica da firma. No mínimo 25% das firmas não apresentam membros externos no seu conselho. Conselhos formados majoritariamente por membros externos são um regime de exceção. Isso configuraria uma maior possibilidade de aprovação de tomada de risco (<xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>).</p>
				<p>A variável Oportunidades possui média de 1,18, superior à mediana de 0,718. Tal discrepância proporcional provavelmente ocorreria por um avolumamento de observações na cauda direita dessa distribuição, o que influencia no desvio-padrão observado. Por fim, é possível inferir que mais firmas possuem valores positivos que negativos para suas oportunidades de investimento. A variável Liquidez é uma entre duas variáveis que possuem média negativa de toda a amostra, com o valor de -0,072. Isso indicaria que no período analisado as firmas encontraram dificuldades financeiras consideráveis. Mesmo com a winsorização, alguns valores proporcionalmente se destacam, sejam estes positivos ou negativos. Sua mediana atesta que a maioria das firmas teve uma liquidez positiva no período.</p>
				<p>As firmas em média apresentam uma idade de 37,63 anos, o que implica sob a ótica familiar que o fundador já teria idade para possuir sucessores. O valor mínimo de 0 ano de uma firma é explicado pela segmentação de algumas firmas, que no ano no qual foram reestruturadas já se encontravam negociadas na Bovespa. Dados os valores avançados de idade de algumas firmas, o valor do desvio-padrão apresenta magnitude maior do que a média. A variável Retorno representa um comportamento da firma perante o mercado. Em média, firmas apresentaram um retorno de 2,147% por ano. A mediana encontrada de zero é explicada pelas ações de baixa liquidez que não apresentam o volume de negócios captado pelo Economática no período em que se calcula o retorno. O menor retorno em um ano chegou a ser de -84,27%(OSX, em 2013). Por outro lado, destaca-se o crescimento de 502,31% da PET Manguinhos em 2010.</p>
				<p>Avançando a análise, realizam-se os testes de diferença de média, apresentados na <xref ref-type="table" rid="t40">Tabela 4</xref>. O teste T foi executado para todas as variáveis independentes que não sejam <italic>dummy</italic>. Como indicado pelos resultados, observa-se que seis variáveis possuem diferenças estatísticas significantes entre os valores médios das firmas familiares e das não familiares quando avaliadas pelo teste T. As variáveis Tamanho, Liquidez, Oportunidades, Idade, Conselheiros e Externos apresentaram uma diferença média a uma significância estatística de 1%.</p>
				<p>
					<table-wrap id="t40">
						<label>Tabela 4.</label>
						<caption>
							<title>Teste t de Diferença de Média</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
							</colgroup>
							<thead>
								<tr>
									<th align="left">Variáveis</th>
									<th align="center">Médias FF</th>
									<th align="center">Médias FNF</th>
									<th align="center">p-valor</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">Tamanho</td>
									<td align="center">6,234</td>
									<td align="center">5,736</td>
									<td align="center">0,000</td>
								</tr>
								<tr>
									<td align="left">Desempenho</td>
									<td align="center">0,081</td>
									<td align="center">0,061</td>
									<td align="center">0,538</td>
								</tr>
								<tr>
									<td align="left">Conselho</td>
									<td align="center">14,789</td>
									<td align="center">13,299</td>
									<td align="center">0,005</td>
								</tr>
								<tr>
									<td align="left">Externos</td>
									<td align="center">0,099</td>
									<td align="center">0,075</td>
									<td align="center">0,001</td>
								</tr>
								<tr>
									<td align="left">Oportunidades</td>
									<td align="center">1,249</td>
									<td align="center">0,730</td>
									<td align="center">0,002</td>
								</tr>
								<tr>
									<td align="left">Liquidez</td>
									<td align="center">0,051</td>
									<td align="center">-0,109</td>
									<td align="center">0,000</td>
								</tr>
								<tr>
									<td align="left">Idade</td>
									<td align="center">412,661</td>
									<td align="center">36,3662</td>
									<td align="center">0,004</td>
								</tr>
								<tr>
									<td align="left">Retorno</td>
									<td align="center">0,0458</td>
									<td align="center">0,3249</td>
									<td align="center">0,879</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN11">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>Os resultados indicaram que firmas familiares apresentariam variáveis com valores estatisticamente distintos daqueles de firmas não familiares. Tais resultados corroboram a noção de que firmas familiares comportam-se de maneira peculiar, justificando seu estudo como um objeto de pesquisa própria (<xref ref-type="bibr" rid="B27">Gallo, Vilaseca, &amp; 1996</xref>; <xref ref-type="bibr" rid="B49">Poutziouris, Smyrnios, Klein, &amp; 2008</xref>; <xref ref-type="bibr" rid="B10">Borges, Lescura, &amp; Oliveira, 2012</xref>).</p>
				<p>O próximo teste realizado foi o teste de hipótese utilizando Mínimos Quadrados Ordinários. Configuram-se oito regressões com distintas combinações de variáveis independentes. As regressões de 1 a 4 aplicam o critério de Fam1 para a presença familiar. Neste grupo de modelos, variam as proxies representativas do número de conselheiros - “Conselheiros” ou “Quartil”, e do estágio do ciclo de vida da companhia - “Idade” ou “Introdução/Crescimento/Maturação/Declínio”. Nas regressões de 5 a 8 utiliza-se o critério de Fam2 como variável de interesse, variando também as proxies citadas para Fam1.</p>
				<p>Nos quatro procedimentos utilizando Fam1, o coeficiente apresentado da variável de interesse foi negativo, o que implicaria que a presença familiar ocasionaria uma menor tomada de risco. Esses resultados são significantes a um nível de 1%.</p>
				<p>Ao expandir o conceito de firmas familiares para o critério Fam2, os resultados permanecem semelhantes. Os coeficientes apresentados pela variável de interesse nas regressões de 5 a 8 são sempre negativos, sendo, assim como em Fam1, significativos a um nível de 1%. Todas as combinações com Mínimos Quadrados Ordinários apresentam o coeficiente esperado para presença familiar a um nível de significância estatística de 1%, o que corroboraria a hipótese de que firmas familiares seriam mais avessas à tomada de riscos que firmas não familiares.</p>
				<p>Em todas as regressões realizadas o coeficiente da variável que expressa a presença familiar na firma foi negativo. Haveria indícios que a presença familiar em firmas levaria a uma maior aversão à tomada de riscos.</p>
				<p>Analisam-se também as variáveis de controle nos testes de MQO (<xref ref-type="table" rid="t50">Tabela 5</xref>) que apresentaram um nível de significância estatística. A variável Tamanho apresentou um impacto negativo na tomada de risco segundo o coeficiente encontrado nas oito regressões. Isso está em linha com a literatura que defende que firmas maiores inviabilizam maior tomada de riscos por conta de sua estrutura, larga e burocrática.</p>
				<p>
					<table-wrap id="t50">
						<label>Tabela 5.</label>
						<caption>
							<title>Teste de Hipótese: Mínimos Quadrados Ordinários</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
							</colgroup>
							<thead>
								<tr>
									<th align="left"> </th>
									<th align="center">(1)</th>
									<th align="center">(2)</th>
									<th align="center">(3)</th>
									<th align="center">(4)</th>
									<th align="center">(5)</th>
									<th align="center">(6)</th>
									<th align="center">(7)</th>
									<th align="center">(8)</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left" colspan="9">Variáveis</td>
								</tr>
								
								<tr>
									<td align="left">Fam1</td>
									<td align="center">-99.34***</td>
									<td align="center">-99.31***</td>
									<td align="center">-93.05***</td>
									<td align="center">-93.48***</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-5.40)</td>
									<td align="center">(-5.46)</td>
									<td align="center">(-5.12)</td>
									<td align="center">(-5.21)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left">Fam2</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-89.72***</td>
									<td align="center">-87.28***</td>
									<td align="center">-83.51***</td>
									<td align="center">-81.59***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-4.82)</td>
									<td align="center">(-4.74)</td>
									<td align="center">(-4.54)</td>
									<td align="center">(-4.49)</td>
								</tr>
								<tr>
									<td align="left">Desempenho</td>
									<td align="center">0.05</td>
									<td align="center">0.03</td>
									<td align="center">0.02</td>
									<td align="center">0.01</td>
									<td align="center">0.04</td>
									<td align="center">0.03</td>
									<td align="center">0.02</td>
									<td align="center">0.01</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(1.39)</td>
									<td align="center">(0.90)</td>
									<td align="center">(0.63)</td>
									<td align="center">(0.21)</td>
									<td align="center">(1.33)</td>
									<td align="center">(0.85)</td>
									<td align="center">(0.57)</td>
									<td align="center">(0.16)</td>
								</tr>
								<tr>
									<td align="left">Tamanho</td>
									<td align="center">-0.16***</td>
									<td align="center">-0.07**</td>
									<td align="center">-0.11***</td>
									<td align="center">-0.02</td>
									<td align="center">-0.16***</td>
									<td align="center">-0.08**</td>
									<td align="center">-0.11***</td>
									<td align="center">-0.02</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-5.64)</td>
									<td align="center">(-2.29)</td>
									<td align="center">(-3.69)</td>
									<td align="center">(-0.72)</td>
									<td align="center">(-5.63)</td>
									<td align="center">(-2.37)</td>
									<td align="center">(-3.67)</td>
									<td align="center">(-0.77)</td>
								</tr>
								<tr>
									<td align="left">Conselheiros</td>
									<td align="center">1.32**</td>
									<td align="left"> </td>
									<td align="center">1.13**</td>
									<td align="left"> </td>
									<td align="center">1.27**</td>
									<td align="left"> </td>
									<td align="center">1.07*</td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(2.29)</td>
									<td align="left"> </td>
									<td align="center">(1.96)</td>
									<td align="left"> </td>
									<td align="center">(2.18)</td>
									<td align="left"> </td>
									<td align="center">(1.86)</td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left">Quartil 1</td>
									<td align="left"> </td>
									<td align="center">168.12***</td>
									<td align="left"> </td>
									<td align="center">171.41***</td>
									<td align="left"> </td>
									<td align="center">163.42***</td>
									<td align="left"> </td>
									<td align="center">167.32***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(5.43)</td>
									<td align="left"> </td>
									<td align="center">(5.64)</td>
									<td align="left"> </td>
									<td align="center">(5.26)</td>
									<td align="left"> </td>
									<td align="center">(5.49)</td>
								</tr>
								<tr>
									<td align="left">Quartil 2</td>
									<td align="left"> </td>
									<td align="center">34.47</td>
									<td align="left"> </td>
									<td align="center">50.61*</td>
									<td align="left"> </td>
									<td align="center">32.15</td>
									<td align="left"> </td>
									<td align="center">48.76*</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(1.26)</td>
									<td align="left"> </td>
									<td align="center">(1.87)</td>
									<td align="left"> </td>
									<td align="center">(1.17)</td>
									<td align="left"> </td>
									<td align="center">(1.80)</td>
								</tr>
								<tr>
									<td align="left">Quartil 3</td>
									<td align="left"> </td>
									<td align="center">13.63</td>
									<td align="left"> </td>
									<td align="center">27.49</td>
									<td align="left"> </td>
									<td align="center">11.32</td>
									<td align="left"> </td>
									<td align="center">25.67</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(0.53)</td>
									<td align="left"> </td>
									<td align="center">(1.08)</td>
									<td align="left"> </td>
									<td align="center">(0.44)</td>
									<td align="left"> </td>
									<td align="center">(1.01)</td>
								</tr>
								<tr>
									<td align="left">Externos</td>
									<td align="center">-0.50</td>
									<td align="center">-0.41</td>
									<td align="center">-0.41</td>
									<td align="center">-0.33</td>
									<td align="center">-0.51*</td>
									<td align="center">-0.42</td>
									<td align="center">-0.42</td>
									<td align="center">-0.34</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-1.64)</td>
									<td align="center">(-1.34)</td>
									<td align="center">(-1.35)</td>
									<td align="center">(-1.12)</td>
									<td align="center">(-1.68)</td>
									<td align="center">(-1.38)</td>
									<td align="center">(-1.37)</td>
									<td align="center">(-1.14)</td>
								</tr>
								<tr>
									<td align="left">Oportunidades</td>
									<td align="center">0.01</td>
									<td align="center">0.03</td>
									<td align="center">-0.01</td>
									<td align="center">0.01</td>
									<td align="center">0.01</td>
									<td align="center">0.02</td>
									<td align="center">-0.01</td>
									<td align="center">0.00</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(0.47)</td>
									<td align="center">(0.87)</td>
									<td align="center">(-0.19)</td>
									<td align="center">(0.23)</td>
									<td align="center">(0.43)</td>
									<td align="center">(0.82)</td>
									<td align="center">(-0.24)</td>
									<td align="center">(0.17)</td>
								</tr>
								<tr>
									<td align="left">Liquidez</td>
									<td align="center">-0.32***</td>
									<td align="center">-0.30***</td>
									<td align="center">-0.27***</td>
									<td align="center">-0.26***</td>
									<td align="center">-0.32***</td>
									<td align="center">-0.30***</td>
									<td align="center">-0.27***</td>
									<td align="center">-0.26***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-9.32)</td>
									<td align="center">(-8.81)</td>
									<td align="center">(-7.22)</td>
									<td align="center">(-6.96)</td>
									<td align="center">(-9.32)</td>
									<td align="center">(-8.81)</td>
									<td align="center">(-7.22)</td>
									<td align="center">(-6.97)</td>
								</tr>
								<tr>
									<td align="left">Idade</td>
									<td align="center">-1.47***</td>
									<td align="center">-1.29***</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-1.50***</td>
									<td align="center">-1.32***</td>
									<td align="left"> </td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-5.28)</td>
									<td align="center">(-4.64)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-5.37)</td>
									<td align="center">(-4.77)</td>
									<td align="left"> </td>
									<td align="left"> </td>
								</tr>
								<tr>
									<td align="left">Introdução</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-241.91***</td>
									<td align="center">-229.11***</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-245.43***</td>
									<td align="center">-233.14***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-7.29)</td>
									<td align="center">(-6.98)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-7.38)</td>
									<td align="center">(-7.08)</td>
								</tr>
								<tr>
									<td align="left">Crescimento</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-186.61***</td>
									<td align="center">-170.48***</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-189.22***</td>
									<td align="center">-173.62***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-6.25)</td>
									<td align="center">(-5.77)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-6.33)</td>
									<td align="center">(-5.86)</td>
								</tr>
								<tr>
									<td align="left">Maturação</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-183.15***</td>
									<td align="center">-168.80***</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-184.90***</td>
									<td align="center">-170.89***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-6.43)</td>
									<td align="center">(-5.99)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-6.48)</td>
									<td align="center">(-6.05)</td>
								</tr>
								<tr>
									<td align="left">Declínio</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-109.22**</td>
									<td align="center">-106.53**</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">-113.33**</td>
									<td align="center">-110.43**</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-2.37)</td>
									<td align="center">(-2.35)</td>
									<td align="left"> </td>
									<td align="left"> </td>
									<td align="center">(-2.46)</td>
									<td align="center">(-2.43)</td>
								</tr>
								<tr>
									<td align="left">Retorno</td>
									<td align="center">0.01</td>
									<td align="center">0.01</td>
									<td align="center">0.02</td>
									<td align="center">0.01</td>
									<td align="center">0.01</td>
									<td align="center">0.01</td>
									<td align="center">0.02</td>
									<td align="center">0.01</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(0.31)</td>
									<td align="center">(0.18)</td>
									<td align="center">(0.41)</td>
									<td align="center">(0.29)</td>
									<td align="center">(0.31)</td>
									<td align="center">(0.19)</td>
									<td align="center">(0.42)</td>
									<td align="center">(0.30)</td>
								</tr>
								<tr>
									<td align="left">2011</td>
									<td align="center">-29.56</td>
									<td align="center">-27.53</td>
									<td align="center">-34.50</td>
									<td align="center">-32.92</td>
									<td align="center">-28.75</td>
									<td align="center">-26.51</td>
									<td align="center">-33.92</td>
									<td align="center">-32.14</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-1.05)</td>
									<td align="center">(-0.99)</td>
									<td align="center">(-1.24)</td>
									<td align="center">(-1.20)</td>
									<td align="center">(-1.02)</td>
									<td align="center">(-0.95)</td>
									<td align="center">(-1.22)</td>
									<td align="center">(-1.17)</td>
								</tr>
								<tr>
									<td align="left">2012</td>
									<td align="center">-36.29</td>
									<td align="center">-40.15</td>
									<td align="center">-52.91*</td>
									<td align="center">-56.40**</td>
									<td align="center">-34.89</td>
									<td align="center">-38.34</td>
									<td align="center">-51.89*</td>
									<td align="center">-55.05**</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(-1.30)</td>
									<td align="center">(-1.45)</td>
									<td align="center">(-1.91)</td>
									<td align="center">(-2.07)</td>
									<td align="center">(-1.25)</td>
									<td align="center">(-1.39)</td>
									<td align="center">(-1.87)</td>
									<td align="center">(-2.01)</td>
								</tr>
								<tr>
									<td align="left">2013</td>
									<td align="center">16.42</td>
									<td align="center">24.24</td>
									<td align="center">-6.58</td>
									<td align="center">3.38</td>
									<td align="center">17.22</td>
									<td align="center">24.94</td>
									<td align="center">-6.35</td>
									<td align="center">3.48</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(0.58)</td>
									<td align="center">(0.87)</td>
									<td align="center">(-0.24)</td>
									<td align="center">(0.12)</td>
									<td align="center">(0.61)</td>
									<td align="center">(0.90)</td>
									<td align="center">(-0.23)</td>
									<td align="center">(0.13)</td>
								</tr>
								<tr>
									<td align="left">2014</td>
									<td align="center">30.61</td>
									<td align="center">40.56</td>
									<td align="center">1.08</td>
									<td align="center">12.77</td>
									<td align="center">31.55</td>
									<td align="center">41.42</td>
									<td align="center">1.30</td>
									<td align="center">12.87</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(1.09)</td>
									<td align="center">(1.46)</td>
									<td align="center">(0.04)</td>
									<td align="center">(0.46)</td>
									<td align="center">(1.12)</td>
									<td align="center">(1.49)</td>
									<td align="center">(0.05)</td>
									<td align="center">(0.46)</td>
								</tr>
								
								<tr>
									<td align="left">Constant</td>
									<td align="center">1,055.53***</td>
									<td align="center">734.85***</td>
									<td align="center">1,808.07***</td>
									<td align="center">1,399.75***</td>
									<td align="center">1,045.74***</td>
									<td align="center">734.35***</td>
									<td align="center">1,810.82***</td>
									<td align="center">1,410.57***</td>
								</tr>
								<tr>
									<td align="left"> </td>
									<td align="center">(21.87)</td>
									<td align="center">(6.74)</td>
									<td align="center">(13.80)</td>
									<td align="center">(8.78)</td>
									<td align="center">(21.51)</td>
									<td align="center">(6.69)</td>
									<td align="center">(13.78)</td>
									<td align="center">(8.82)</td>
								</tr>
							
								<tr>
									<td align="left">Observações</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
									<td align="center">1,188</td>
								</tr>
								<tr>
									<td align="left">R²</td>
									<td align="center">0.2240</td>
									<td align="center">0.2475</td>
									<td align="center">0.2468</td>
									<td align="center">0.2691</td>
									<td align="center">0.2201</td>
									<td align="center">0.2428</td>
									<td align="center">0.2432</td>
									<td align="center">0.2648</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN12">
								<p>MQO - Controle por Indústria; Valor t entre parênteses; *** p&lt;0.01, ** p&lt;0.05, * p&lt;0.1</p>
							</fn>
							<fn id="TFN13">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>Ao analisar o impacto da quantidade de conselheiros na tomada de risco, as proxies Conselheiros e Quartil 1 indicaram significância estatística. Conselheiros, apresentou coeficientes positivos nas quatro regressões em que é empregada, alinhando-se à literatura revisada de propensão à tomada de riscos por parte das firmas familiares. Esses resultados são significantes a um nível de 5%, nas regressões 1 e 5, e 10%, nas regressões 3 e 7. Analisando as variáveis dummy que buscaram expressar essa relação, apenas a variável Quartil 1 apresentou significância estatística, a um nível de 1%.</p>
				<p>A variável Externos apresentou nas oito regressões testadas um coeficiente negativo. Isso atestaria que quanto maior o número de conselheiros externos, menor a tomada de risco assumida pela empresa, como atestado na revisão da literatura. Esse resultado apresentou significância estatística a um nível de 10%. A variável Liquidez apresentou coeficiente negativo e significante a um nível de 1% nas oito regressões testadas. Tal resultado contraria a noção de que firmas com maior liquidez possuiriam maior propensão à tomada de riscos.</p>
				<p>Por fim, busca-se controlar o efeito do ciclo de vida da firma na tomada de risco. A variável Idade apresentou coeficientes negativos nas quatro regressões em que é empregada a um nível de significância estatística de 1%. Ou seja, quanto mais antiga a firma, menor é a tomada de risco esperada. Em contrapartida, de acordo com as variáveis dummy que buscaram capturar o ciclo de vida da firma, quanto mais avançado o estágio em que esta se encontra, menor o valor absoluto do coeficiente. Ou seja, menor seria o impacto negativo na tomada de risco.</p>
				<p>Para testar a robustez dos resultados dos modelos de regressão múltipla, optou-se por criar uma amostra pareada de firmas, ou seja, uma amostra composta por companhias similares, mas que divirjam na classificação entre firmas familiares e não familiares. O objetivo é verificar isoladamente o efeito da família empresária sobre o risco tomado pelas empresas.</p>
				<p>Para realizar o pareamento da amostra foi estimado o escore de propensão (<italic>propensity score matching,</italic> cujo objetivo é criar um grupo de controle o mais semelhante possível ao grupo de tratamento - mas que divirjam na presença da família empresária, de modo que os resultados desses possam ser comparados. Então, com base na amostra pareada de firmas, é possível estimar o efeito médio do tratamento sobre os tratados (<italic>average treatment effect</italic> - ATE). A variável de tratamento utilizada são as dummies Fam1 e Fam2 (que assume valor de um quando a empresa é familiar de acordo com seu critério, e zero quando não adota). Ou seja, objetiva-se demonstrar o impacto de ser uma empresa familiar (tratamento) na tomada de risco. Os resultados do ATE estão sumarizados na <xref ref-type="table" rid="t60">tabela 6</xref>.</p>
				<p>
					<table-wrap id="t60">
						<label>Tabela 6.</label>
						<caption>
							<title>Teste de Efeito Médio do Tratamento</title>
						</caption>
						<table frame="hsides" rules="groups">
							<colgroup>
								<col/>
								<col/>
								<col/>
								<col/>
								<col/>
								<col span="2"/>
							</colgroup>
							<thead>
								<tr>
									<th align="left"> </th>
									<th align="center">Coef</th>
									<th align="center">Err. Pad. Robust</th>
									<th align="center">z</th>
									<th align="center">p &gt; |z|</th>
									<th align="center" colspan="2">[95% IC] </th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">Fam1</td>
									<td align="center">97,83</td>
									<td align="center">22,38</td>
									<td align="center">-4,37</td>
									<td align="center">0,000</td>
									<td align="center">-141,70</td>
									<td align="center">-53,98</td>
								</tr>
								<tr>
									<td align="left">Fam2</td>
									<td align="center">-97,05</td>
									<td align="center">21,84</td>
									<td align="center">-4,44</td>
									<td align="center">0,000</td>
									<td align="center">-139,86</td>
									<td align="center">-54,25</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TFN14">
								<p>Fonte: Elaboração própria.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</p>
				<p>O resultado do efeito do tratamento médio (ATE) foi negativo para Fam1 e Fam2. Pela análise do sinal do coeficiente, denota-se que o fato de ser uma empresa familiar impacta negativamente em seus níveis de tomada de risco, mesmo com o pareamento da amostra. Ou seja, demonstra-se que a família empresária procura incorrer em menos riscos na administração de suas companhias, visto que a metodologia proposta busca isolar essa relação - empresa familiar e tomada de risco. Além de negativo, o coeficiente é significativo estatisticamente a 1%.</p>
				<p>Diversos fatores poderiam explicar a relação negativa entre tomada de risco e a presença da família empresária. O primeiro é o fato de que firmas familiares tendem a tomar risco de maneira mais eficiente dado o alinhamento de patrimônio entre firma e família empresária, e por consequência tomariam menos risco proporcionalmente que firmas não familiares. Tal postura seria adotada de modo a minimizar as perdas que podem ser incorridas de um resultado negativo, uma vez que a família compartilharia do retorno residual das decisões (<xref ref-type="bibr" rid="B25">Fama &amp; Jensen, 1983</xref>; <xref ref-type="bibr" rid="B14">Chen &amp; Hsu, 2009</xref>).</p>
				<p>Outros fatores podem motivar esse perfil de tomada de risco, como o Patrimônio Socioemocional Familiar. A manutenção da relação afetiva entre membros da família empresária e a firma pode restringir decisões que impliquem tomada de risco. Isso implicaria evitar as decisões que mais expõem o PSF a riscos, mesmo que isso implique maiores retornos em potencial (<xref ref-type="bibr" rid="B29">Gomez-Mejía et al., 2007</xref>; <xref ref-type="bibr" rid="B19">Cucculelli, Breton-Miller, &amp; Miller, 2016</xref>).</p>
				<p>A família empresária também pode evitar tomar riscos pelo alinhamento de patrimônio entre a família e a firma. Estando o retorno financeiro familiar comprometido com o desempenho da firma, as famílias empresárias podem chegar a tomar decisões de maneira que não se maximize o retorno, mas buscando garantir parte aceitável dele, configurando uma postura conservadora (<xref ref-type="bibr" rid="B50">Pukall &amp; Calabrò, 2014</xref>).</p>
			</sec>
			<sec sec-type="conclusions">
				<title>5. CONSIDERAÇÕES FINAIS</title>
				<p>O trabalho teve por principal objetivo analisar se as firmas familiares tomam menos risco que firmas não familiares. Para isso, foi realizada uma revisão bibliográfica sobre os dois principais construtos trabalhados: firmas familiares e tomada de risco. A literatura revisada não apresentou consenso sobre a postura das firmas familiares ao tomar risco. Isso estimulou a presente pesquisa a estudar empiricamente o assunto através de uma amostra de companhias de capital aberto no Brasil, um país com mercado de capitais concentrado e de grande porte.</p>
				<p>Uma linha de pesquisa empírica atribui às firmas familiares o caráter de aversão a riscos. Dada a concentração de patrimônio da família empresária investido na firma, esta opta por priorizar a sobrevivência da firma no longo prazo sobre eventuais oportunidades empreendedoras que compreendam risco. Também contribuindo para a aversão a riscos está a preservação do patrimônio socioemocional familiar, que compreende uma série de objetivos não econômicos (<xref ref-type="bibr" rid="B39">Laffranchini &amp; Braun, 2014</xref>). Em contrapartida, outra linha de pesquisa empírica defende que famílias empresárias estimulam o comportamento inovador para obter vantagens competitivas, maximizar o retorno para o acionista e garantir a longevidade da firma. Para isso, é inevitável engajar-se com iniciativas que envolvam risco. A linha tênue que separa os objetivos econômicos e não econômicos nas firmas familiares é o que torna difícil predizer as tendências de risco desse tipo de empreendimento (<xref ref-type="bibr" rid="B29">Gómez-Mejía et al., 2007</xref>).</p>
				<p>Os resultados encontrados pelo presente estudo estão em linha com o primeiro grupo de estudos empíricos citados, ou seja, demonstra-se que existem indícios de que firmas familiares apresentam uma maior aversão ao risco do que firmas não familiares. Trabalhos como os de <xref ref-type="bibr" rid="B14">Chen e Hsu (2009</xref>), <xref ref-type="bibr" rid="B3">Anderson et al. (2012</xref>), <xref ref-type="bibr" rid="B16">Chrisman et al. (2014</xref>), <xref ref-type="bibr" rid="B52">Sciascia et al. (2014</xref>) e <xref ref-type="bibr" rid="B37">Kellermanns et al. (2008</xref>) demonstraram esse mesmo fenômeno em outros mercados e períodos de tempo. Acreditamos que o mercado brasileiro, por possuir altíssima concentração acionária e grande número de empresas familiares, agrega informações relevantes sobre o tema.</p>
				<p>A presente pesquisa, naturalmente, apresenta algumas limitações e sugestões para pesquisas futuras que desejem aprofundar os tópicos aqui abordados. Indica-se a realização de pesquisas as quais analisem a heterogeneidade entre o grupo de firmas familiares. Uma vez que esse tipo de firma foi configurado como um grupo próprio, seria interessante entender como ele difere entre si. Por exemplo, seria interessante entender qual a geração que está tomando as decisões da firma bem como se o tempo que os membros da família empresária exercem suas funções na firma influenciam o tipo de decisão tomado por eles. Com a crescente evolução de informações disponibilizadas pelas firmas listadas na bolsa de valores brasileira, é interessante que pesquisas utilizem o conhecimento disponível para gerar insights relevantes para os agentes que lidam com firmas de capital aberto. Também se sugere a elaboração de uma variável contínua que expresse a intensidade da presença familiar, e não uma variável dicotômica como a aqui empregada. Além desta, também se estimula a combinação do construto tomada de risco com outras características das firmas que possam influenciar seu comportamento, como níveis de governança, por exemplo. Os dois construtos aqui trabalhados são bastante amplos e permitem que muito ainda seja pesquisado.</p>
			</sec>
		</body>
	</sub-article>-->
</article>