Boards of directors and firm performance: The effect of multiple directorships

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Boards of directors and firm performance: The effect of multiple directorships * Abstract: We analyze the influence of multiple directorships (busyness) on the performance of the Spanish listed firms between 2007 and 2009. We find a nonlinear relation due to the combination of a reputation effect and a dedication effect. For low levels of multiple directorships, the reputation effect prevails, so that serving on more boards of directors means more skills and more incentives to perform directorial duties, with a positive impact on the firm’s performance. After a certain threshold (our results point to around four boards), the dedication effect prevails as directors become overwhelmed attending to the duties of too many boards. Keywords: independent directors, boards of directors, firm performance, corporate governance. Clasificación JEL/JEL Codes: G34 * The authors are grateful to Juan Antonio Rodríguez, Carmen Antón, Isabel Prieto, Isabel Acero, Fernando Tejerina, Nuria Reguera, Cristina Abad, Alisa Larson, Esther del Brío (associated editor), two anonymous referees and the participants in the V Research Forum of the Spanish Journal of Finance and Accounting for their comments on previous versions of the paper. The authors also acknowledge the financial support of the Spanish Ministry of Science and Innovation (project ECO2011-29144-C03-01). All the remaining errors are our only responsibility.

Transcript of Boards of directors and firm performance: The effect of multiple directorships

Boards of directors and firm performance: The effect of multiple directorships*

Abstract: We analyze the influence of multiple directorships (busyness) on the performance of the Spanish listed firms between 2007 and 2009. We find a nonlinear relation due to the combination of a reputation effect and a dedication effect. For low levels of multiple directorships, the reputation effect prevails, so that serving on more boards of directors means more skills and more incentives to perform directorial duties, with a positive impact on the firm’s performance. After a certain threshold (our results point to around four boards), the dedication effect prevails as directors become overwhelmed attending to the duties of too many boards.

Keywords: independent directors, boards of directors, firm performance, corporate governance.

Clasificación JEL/JEL Codes: G34

* The authors are grateful to Juan Antonio Rodríguez, Carmen Antón, Isabel Prieto, Isabel Acero, Fernando Tejerina, Nuria Reguera, Cristina Abad, Alisa Larson, Esther del Brío (associated editor), two anonymous referees and the participants in the V Research Forum of the Spanish Journal of Finance and Accounting for their comments on previous versions of the paper. The authors also acknowledge the financial support of the Spanish Ministry of Science and Innovation (project ECO2011-29144-C03-01). All the remaining errors are our only responsibility.

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1. INTRODUCTION

The board of directors (BD) is a cornerstone in corporate governance (Jensen,

1993; Olivencia, 2004). Although literature has emphasized this importance, the

research has not always reached conclusive results regarding the board’s

influence (Adams, et al., 2010; Dalton and Dalton, 2011; García Meca and

Sánchez Ballesta, 2009). The literature has often stressed its supervisory role and

paid less attention to other board functions (Crespí and Gispert, 2003; Fernández,

et al., 1998; Mínguez and Martín Ugedo, 2005). Nevertheless, both academia and

practitioners have recently acknowledged boards’ advisory role and its influence on

firm strategy (Acero and Alcalde, 2012; Blanco Alcántara, et al., 2012; García

Ramos and García Olalla, 2011). Anderson et al. (2007) show that directors are

increasingly conscious of the redefinition of their role and that they consider

collaboration with the firm’s managers as an important function of their work. An

excessive trend toward supervision could be a detrimental effect of the advisory

function, as it may negatively impact an orientation toward firm performance

(Adams and Ferreira, 2007; Faleye, et al., 2011).

In this framework, the focus of the corporate governance problems is no

longer solely on the conflicts of interests and the distribution of resources but now

includes the problems of coordination among agents and the creation of knowledge

(van Ees, et al., 2009). Consequently, research on BD should be orientated to the

analysis of directors’ skills and abilities, the field to which the study of multiple

directorships (or directors’ busyness) belongs. The effect of multiple directorships

is twofold. On the one hand, there is a reputation effect because a director who sits

on several BDs has a verified ability to provide worthwhile ideas and advice that

will increase the demand of his or her services as an independent director. In

addition, directors are interested in preserving this reputation, which is an incentive

to perform their duties as directors and improve the performance of the firm

(Masulis and Mobbs, 2011; Sharma, 2011). On the other hand, there is a

dedication effect because belonging to too many boards can result in an

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excessively diversified job, with time constraints and the need to collaborate with

very different firms and possibly industries-.

Our paper is related to this emerging direction in research as we analyze the

effect of the multiple directorships on the value and the performance of the firm.

Our research is related to the twenty-sixth recommendation of the Spanish Unified

Code of Good Governance, according to which firms should “set policies

concerning the number of boards to which its directors can belong” (CNMV, 2006).

The European Commission is also very interested in this issue and in 2011 issued

a public consultation about the legal framework of the corporate governance in the

European Union (European Commission, 2011). This green paper addresses

explicitly the debate about the possible legal limitation of the number of BD to

which a director can belong.1

In the same vein, the reports of the Foundation for Financial Studies

(Fundación de Estudios Financieros, 2009, 2010, 2011) for Spain and of the

Watson Wyatt consulting firm in the international arena show a global trend among

institutional investors to set limits both on independent directors’ tenure and on the

number of the BD that they attend, even though no mandatory laws are in place

(Teen and Teo, 2009). These facts, along with the growing accountability of legal

directors (Informe Aldama, 2003) and the growing engagement of directors

(Anderson, et al., 2007), are likely to result in more attention being paid to the

selection of the boards to which independent directors belong.

Our research is based on nonfinancial listed firms in the Spanish continuous

market between 2007 and 2009. The results show a nonlinear relation between

firm performance and the average number of BD to which its independent directors

belong. Initially a reputation effect prevails so that a positive relation exists

between the variables. However, after reaching a threshold (our results suggest

1 In the public consultation stage, 409 contributions were submitted; most of them (93 percent) from firms, professional associations, and public authorities. Although around three out of four participants did not support a legal limit to the number of BDs on which a director can sit, most of them supported suggesting an indicative number between three and five boards.

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that the threshold is around four BDs of listed firms), the relation turns negative due

to a dedication effect as directors can no longer perform because they are sitting

on too many BDs.

Our paper is divided into five sections. In Section 2 we review the most

relevant literature and propose the hypothesis to be tested. In Section 3 we

describe the sample, the empirical method, and the variables. In Section 4 we

report the results of our analysis. Finally, in Section 5, we provide our conclusions.

2. LITERATURE REVIEW AND HYPOTHESIS

Independence is a core characteristic of the BD that potentially affects a firm’s

performance. However, despite support from most codes of good governance and

certain regulatory pressure in favor of more independent directors, the literature

has not yet reached conclusive results regarding the influence of independence on

firm performance (Bøhren and Strøm, 2010; Brick and Chidambaran, 2010; Choi,

et al., 2007; Fahlenbrach, et al., 2010; Monterrey and Sánchez, 2008; Young, et

al., 2008).

This lack of conclusive evidence can be attributed to four reasons. First, the

current definition of independence is too loose, and directors can be affected by

other kinds of ties (Hwang and Kim, 2009). Second, the composition of the BD may

not only be a determinant of the performance of the firm but may also be an

outcome of this performance (Adams, et al., 2010). Third, the view of BDs has

been primarily limited to their supervisory abilities; this view needs to be expanded

to include their cognitive abilities (Barroso, et al., 2011; Guieu and Meschi, 2008).

Finally, prior analysis of BDs has not adequately combined the different levels of

analysis: personal, corporation, and sectorial (Dalton and Dalton, 2011; Pugliese,

et al., 2009). This issue needs to be further addressed.

Our approach takes into account these reasons because we analyze the

factors potentially affecting the ability of independent directors to perform a

supervisory and advisory job in a multilevel framework, combining the individual

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director level with the firm-level of the company on whose BD the director sits. In

addition, as we explain in the empirical design section, we address the possible

endogeneity issues to prevent them from biasing our results.

From a supervisory point of view, independent directors are effective monitors

because they are free from ties with other stakeholders that can put pressure on

their job. However, a wider view of the function of the BD requires a broader view

of role played by independent directors (Jonnergård and Stafsudd, 2011; Kim, et

al., 2009). This approach is consistent with Brick and Chidambaran (2010), who

show that the value creation of a more efficient BD is not an outcome of its

supervisory role but rather of the advisory skills of the independent directors.

Likewise, Coles et al. (2008) and Guest (2008) find that the BD of the firms with the

most need of advice have a higher proportion of independent directors.

In these context, a new view of independent directors emerges as providers

of social capital, defined as a set of factors that includes information, knowledge,

and relations both within and outside of the firm that become a strategic asset

(Duchin, et al., 2010; Kim and Cannella, 2008). Independent directors are not only

independent monitors; they also bring to BD discussions new points of view,

expertise, and outside relations with other firms and institutions. Their contribution

to firm value depends on their skills and the time and the effort that they expend

preparing for the BD meetings (Fahlenbrach, et al., 2010; Fich and Shivdasani,

2006; Kiel and Nicholson, 2006). Therefore, the question on multiple directorships

arises as a relevant determinant of the effectiveness of independent directors. The

literature provides different answers to this question, which can be classified into

two explanations: the reputation effect and the dedication effect.

The seminal papers of Fama (1980) and Fama and Jensen (1983) address

the notion of the reputational capital of directors. According to the reputation effect,

outside directors contribute to firm value through their prestige, visibility, and

relationships. Therefore, directors with the most reputational capital will be

nominated to more BDs. Thus, the number of BDs to which an independent

director belongs will depend on his or her reputation and business skills. This

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reasoning is consistent with Cook and Wang (2011), who find that the performance

induced by the directors belonging to several boards is a consequence of their

business skills and not of their access to information.

According to this reputation hypothesis, increasing the number of BDs on

which a director sits increases his or her reputation and his or her incentives to

improve the performance of each firm associated with each BD (Sarkar and

Sarkar, 2009). Supporting this explanation, Ferris et al. (2003) find that directors

who belong to more BDs attend more meetings and take part in more committees.

They also find that a firm’s stock experiences positive abnormal returns when the

firm announce the nomination of a director who has already sat on other BD.

Similarly, evidence suggests a positive relation between multiple directorships and

the return on mergers and acquisitions (Harris and Shimizu, 2004). In the same

vein, Perry and Peyer (2005) show that managers taking part in the BD of other

firms increase their firm’s value, especially for financial firms, firms in the same

industry, or firms with growth opportunities. Di Pietra et al. (2008) for Italian firms

and Voordeckers et al. (2009) for Belgian firms provide similar evidence.

Nevertheless, belonging to too many BD can diminish directors’ dedication

and negatively affect the performance of the firm. Fich and Shivdasani (2006)

report that firms whose directors belong to at least three BDs have lower

performance and worse corporate governance. This finding is in line with the

results of Core et al. (1999), Haniffa and Hudaib (2006), and Shivdasani and

Yermack (1999). Firms with directors belonging to several BDs have positive

abnormal returns when some of these directors leave the board. Jackling and Johl

(2009) also find that multiple directorships are related negatively to firm

performance. In the United States, the marginal effect of nominating a director for a

new BD is decreasing and can even turn negative when exceeding three boards

(Masulis and Mobbs, 2011). Sharma (2011) also shows that the pay to

shareholders is lower among the firms whose directors belong to a high number of

BD.

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Consequently, the effect of multiple directorships on the firm’s performance is

an empirical question. There are reasons that justify a positive relation (reputation

effect), a negative relation (dedication effect), and the lack of a relation (Kiel and

Nicholson, 2006). A combination of both effects is also possible: initially the

reputation effect may prevail until a threshold after which the accumulation of too

many BD turns the relation into a negative one. Accordingly we state our

hypothesis threefold:

H1a: A positive relation exists between the number of BDs to which

independent directors belong and the performance of the firm.

H1b: A negative relation exists between the number of BDs to which the

independent directors belong and the performance of the firm.

H1c: A nonlinear relation exists between the number of BDs to which the

independent directors belong and the performance of the firm.

3. METHOD, SAMPLE AND VARIABLES

3.1. Sample

Our initial simple includes all the nonfinancial firms listed in the Spanish continuous

market on December 31, 2009. Out of the 127 listed firms we drop banks because

they must comply with specific sector regulations and are under the additional

supervision of the Bank of Spain and other monetary authorities. We exclude nine

other firms whose information was not available in the public sources of data and

the firms with negative equity market value. We collect information on financial

statements and on corporate governance of all the available firms between 2007

and 2009 and build a sample of 311 firm-year observations. Table 1 provides the

details of the sample. Due to the wide dispersion of some variables, we drop some

outliers, as we explain later. The sector composition of the sample reflects the

composition of Spanish capital markets, in which Basic Materials, Industry and

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Construction and Consumer Goods are overrepresented and Technology and

Communications are underrepresented.

Table 1: Sample sectorial composition

Year and sector distribution of the firms in the sample.

2007 2008 2009

Petrol and Power 11 11 11 Basic Materials, Industry and Construction 28 30 29 Consumer Goods 28 27 28 Consumer Services 13 16 14 Financial Services and Real Estate 15 16 17 Technology and Communications 6 5 6 Total Sample 101 105 105

We collect information from three sources. The list of companies, sector

distribution, and equity market value are collected from the Madrid Stock Exchange

website. The information on the financial statements (balance sheet and profit and

loss account) comes from the Amadeus database. The information on the BD of

the listed firms (number of directors, independent directors’ identity, number of

boards to which each one belongs, etc.) comes from the companies’ corporate

governance reports, available at the Comisión Nacional del Mercado de Valores

(Spanish Stock Exchange Commission) website.

The information on corporate governance requires that we manually collect

the corporate governance report for every firm and every year and identify the BD

to which each independent director belongs.

3.2. Method

Following previous research, we estimate our model through the method of

ordinary least squares (Fich and Shivdasani, 2006; Haniffa and Hudaib, 2006). We

also combine cross-sectional observations with time series to build a panel that we

analyze using a panel data analysis. However, the efficiency of these last

estimates is conditioned by the limited available period of time. Thus, we report

these results as a sensitivity analysis. In addition, panel data procedures allows us

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to address in part the problems of residual correlation and heteroskedasticity

suggested by Petersen (2009).

A key element in panel data is the fixed effects term. This term is intended to

reflect the firm-level characteristics, and it thereby avoids the omission bias and

renders more efficient estimates. The fixed effects term is unobservable and,

consequently, is subsumed in the random disturbance. In these cases, we must

discern the kind of relation between the fixed effects term and the other

explanatory variables since this same relation will exist between the random

disturbance and the explanatory variables. This correlation is analyzed with the

Hausman test, which tests the null hypothesis of the lack of correlation between

the independent variables and the fixed effects term.2 Accordingly, we use the

Hausman test to choose the most suitable estimation method.

In addition to the panel data estimates, the sensitivity analysis also addresses

the endogeneity concern, which often arises in research on corporate governance.

Corporate governance issues may not only be a determinant but also possibly be

an outcome of the performance of the firm (Coles, et al., 2008; Demsetz and Lehn,

1985). To address this problem, we conduct two complementary analyses. First,

we run our analysis with one-year lagged corporate governance variables (Coles,

et al., 2008; Hermalin and Weisbach, 1991). Second, we estimate a system of

simultaneous equations to explain jointly the performance of the firm and the

multiple directorship structure (Bhagat and Black, 2001; Cho, 1998; Thomsen, et

al., 2006). In any case, irrespective of the effort to solve this problem, we must

acknowledge that corporate governance characteristics are highly persistent, and

thus there is no guarantee that the endogeneity is solved.

3.3. Variables

Since we are interested in analyzing how multiple directorship affects the

performance of the firm, our dependent variable must be an accounting indicator of

2 This test follows a chi-squared distribution with so many degrees of freedom as estimated coefficients. When the null hypothesis is not rejected, the fixed effects term must be dropped out with the within groups technique. Otherwise, the random effects method applies.

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performance or value creation. To enable the comparison with previous research

(Coles, et al., 2008; Ferris, et al., 2003; Fich and Shivdasani, 2006; Haniffa and

Hudaib, 2006), we use two dependent variables: a Tobin’s q ratio proxy (Q) and

the return on assets (ROA). The q ratio proxy is defined as the firm market value,

measured as equity market value plus debt book value, to firm book value ratio.

ROA is the ratio of earnings before interests and taxes to total assets.

Our key explanatory variable is the average number of BDs of listed firms to

which the independent directors of a company belong (BOARDS). For each year

and each firm this variable is computed as the average number of different boards

(excluded the BD of the firm under consideration) to which each independent

director belongs. To test nonlinear effects we use the squared variable BOARDS2.

We use three other variables concerning the BD: size (SIZE), defined as the

total number of directors; independence (INDEP), defined as the proportion of

independent directors; and the proportion of shares owned by the directors (OWN).

These variables have been used in previous research and enable the comparability

of our results (Andrés and Rodríguez Sanz, 2011; Coles, et al., 2008; Faleye, et

al., 2011; Fich and Shivdasani, 2006). Regarding the size of the BD, following the

suggestion of Yermack (1996) about oversized boards, we use the squared

variable as Andrés and Vallelado (2008) do. In the same vein, because of the

possibility of a double effect of the managerial ownership (alignment and

entrenchment) as proposed by Morck et al. (1988) and Cho (1998), we include

OWN in linear and squared terms.

We control for three other variables: financial leverage (LEV), defined as the

debt-to-equity ratio in book value; the size of the firm (ASSET), defined as the log

of total assets (Monterrey and Sánchez, 2008); and ownership concentration (C3),

measured by the proportion of shares held by the three largest shareholders. In

addition, since the market value of the firm can be affected by its performance, we

use ROA as an explanatory variable when Q is the dependent variable. We also

control for time and industry effects with dummy variables as explained in Table 1.

Due to the dispersion of some variables, especially the dependent variables—

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possibly as a consequence of the economic crisis of the years under analysis—we

consider as outliers the observations beyond the 5 and 95 percentiles and dropped

them.

Our model is as follows

Qit = α + β1 · BOARDSit + β2 · BOARDSit2 + β3 · ROAit + β4 · LEVit + β5 · ASSETit +

β6 · C3it + β7 · OWNit + β8 · OWNit2 + β9 · SIZEit + β10 · SIZEit2 + β11 ·

INDEPit + ∑ βj2j=1 · DUM_ANjt + ∑ βj5

j=1 · DUM_SECTjt + µi + εit (1)

where the dependent variable can be either Q or ROA. The sub-index i identifies

the individual, and the sub-index t identifies the time μi is the fixed effects term, and

εit is the random disturbance of each firm-year observation. We also control for

time and sector with year and sector dummy variables (DUM_AN and DUM_SECT,

respectively).

Table 2 reports the basic descriptive statistics of the main variables of the

model. On average, BDs have 11.2 directors, and 33.7 percent of directors are

independent. These figures are consistent with the results of the Foundation for

Financial Studies (2011), which finds the average size of the BD of the quoted

firms is 11.24 directors in 2010 and the proportion of independent directors is 33.3

percent. On average, independent directors in our sample sit on 0.7 boards in

addition to the one under study. These data are comparable to the 0.8 boards

reported by Perry and Peyer (2005) for U.S. firms, 0.79 boards reported by Kiel

and Nicholson (2006) for Australian firms, and 0.4 boards reported by Di Pietra et

al. (2008) for Italian firms.

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Table 2: Descriptive statistics This table presents the mean, standard deviation and quartiles of the main variables. Q is the market-to-book ratio; ROA is the return on assets; BOARDS is the average number of boards of other firms to which the independent directors belong; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares owned by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders.

Variables Mean Std. dev. Q25 Q50 Q75

Q 2.282 2.026 1.040 1.680 2.787 ROA 0.062 0.110 0.020 0.083 0.203 BOARDS 0.732 1.161 0.000 0.500 1.000 SIZE 11.235 3.633 9.000 10.000 13.000 INDEP 0.337 0.173 0.250 0.325 0.440 OWN 14.020 21.930 0.100 1.910 21.490 LEV 3.172 5.344 0.982 1.848 3.458 ASSET 21.014 1.898 19.432 20.827 22.196 C3 38.920 28.830 16.110 30.750 60.590

Table 3 reports the correlation matrix among the main variables of the model.

Although the correlation coefficients are not high (with the exception of the relation

between the size of the board and the size of the firm), we compute the variance

inflation factor (VIF) to test the lack of multicollinearity in our estimates. The VIF is

well under 10, the threshold value for multicollinearity (Hair, et al., 2008; Kutner, et

al., 2005).

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Table 3: Correlation matrix This table presents the correlation coefficients among the main variables. Q is the market-to-book ratio; ROA is the return on assets; BOARDS is the average number of boards of other firms to which the independent directors belong; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares owned by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders.

Q ROA BOARDS SIZE INDEP OWN LEV ASSET

ROA 0.125 BOARDS –0.026 0.115

SIZE –0.073 0.020 –0.051 INDEP 0.003 0.103 0.052 –0.083

OWN 0.154 0.152 0.094 –0.184 –0.011 LEV 0.116 0.035 –0.087 0.194 –0.119 –0.008

ASSET –0.080 0.111 0.026 0.635 0.157 –0.082 0.392 C3 –0.121 0.013 0.006 0.074 –0.136 0.110 0.116 0.256

VIF 3.99 2.44 3.14 3.35 1.31 1.67 2.49 2.03

4. RESULTS

4.1. Explanatory analysis

Table 4 reports the results of the ordinary least squares estimation of model

(1). The dependent variable is the Q ratio (ROA) in columns 1–3 and ROA in

columns 4–6. In columns 1 and 4 we use the average number of BDs of each

independent director only as an explanatory variable. In columns 2 and 5 we add

the year and sector dummy variables, and in columns 3 and 6 we add the other

control variables (size of the board, financial leverage, firm size, and ownership

structure and ROA only for the Q-based regressions).

All the estimates show a nonlinear and significant influence of the number of

BDs on the performance of the firm, in line with Hypothesis 1c. The coefficient of

BOARDS suggests an initially positive relation due to the reputation effect. Thus,

belonging to a higher number of boards can be seen as a signal of independent

directors’ better reputation and increased incentives to perform their duties, which

translates into better firm performance. Nevertheless, the coefficient of BOARDS2

is also significant but negative. This result suggests an inverted U-shape so that

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serving as a director on too many BDs may be detrimental to the director’s

dedication and, thus, negatively affect firm performance. By taking the first

derivative of model (1), we detect that the turning point is between two and three

BDs when Q is the dependent variable and around four BDs when ROA is the

dependent variable.

As far as the control variables are concerned, as we expected, ROA has a

clear and positive effect on the value of the firm. The adjusted explanatory power

of the model increases notably when we introduce new independent variables,

which corroborates the selection of the control variables.

Table 4: Estimation of model (1) with ordinary least squares This table presents the estimated coefficients and (standard errors) of the estimation of model (1) with ordinary least squares. Q is the market-to-book ratio; ROA is the return on assets; BOARDS is the average number of boards of other firms to which the independent directors belong; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares owned by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders. *, **, and *** indicate 90 percent, 95 percent, and 99 percent confidence level, respectively. The adjusted-R2 coefficient is informative about the fitting of the model, and the F test about the joint significance of the explanatory variables.

(1) (2) (3) (4) (5) (6) V. dependiente Q Q Q ROA ROA ROA

BOARDS 0.269* 0.272* 0.243* 0.170*** 0.103*** 0.075*** (0.141) (0.143) (0.148) (0.038) (0.022) (0.024) BOARDS2 –0.057** –0.055* –0.054* –0.018** –0.013*** –0.008* (0.028) (0.028) (0.029) (0.007) (0.004) (0.004) ROA 1.674*** (0.321) LEV 0.089** 0.003 (0.041) (0.006) ASSET 0.122** 0.021** (0.059) (0.009) C3 –0.240 0.030 (0.262) (0.041) OWN 0.112 0.046 (0.907) (0.147) OWN2 –0.005 0.001 (0.125) (0.002) SIZE 0.016 0.020 (0.101) (0.015) SIZE2 0.001 –0.001* (0.003) (0.000) INDEP 0.073 –0.077 (0.411) (0.066)

Time effect No Sí Sí No Sí Sí

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Industry effect No Sí Sí No Sí Sí

No. obs. 237 237 237 246 246 246 Adj.-R2 0.020 0.050 0.201 0.111 0.713 0.740 F-test 4.09*** 4.24*** 4.13*** 13.78*** 8.14*** 7.28***

Consequently, we find that the average number of BDs to which an

independent director belongs combines a reputation effect for low levels of the

dependent variable and a dedication effect for a high number of BDs.

4.2. Sensitivity analysis

To test the robustness of our results we rerun the previous analyses using the

panel data method. Table 5 reports the results. The number of BDs has a nonlinear

influence on the firm’s value or performance (Hypothesis 1c), combining the

positive effect of the low values of BOARDS and the negative effect for high

values. The turning point is consistent with the point previously reported. The

explanatory power of the model (adjusted-R2 coefficient) is acceptable in broad

terms.

Table 5: Estimation of the model (1) with panel data This table presents estimated coefficients and (standard errors) of the estimation of model (1) with panel data. The Hausman test for the existence of fixed effects follows a χ2 distribution with so many degrees of freedom as estimated coefficients. Q is the market-to-book ratio; ROA is the return on assets; BOARDS is the average number of boards of other firms to which the independent directors belong; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares owned by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders. *, **, and *** indicate 90 percent, 95 percent, and 99 percent confidence level, respectively. The adjusted-R2 coefficient is informative about the fitting of the model, and the F test about the joint significance of the explanatory variables.

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(1) (2) (3) (4) (5) (6) V. dependiente Q Q Q ROA ROA ROA BOARDS 0.385*** 0.405* 0.448* 0.171** 0.099** 0.110** (0.147) (0.214) (0.227) (0.080) (0.043) (0.052) BOARDS2 –0.072** –0.074* –0.085* –0.024* –0.015* –0.018* (0.028) (0.044) (0.045) (0.015) (0.008) (0.009) ROA 1.439*** (0.420) LEV –0.066 –0.012 (0.136) (0.015) ASSET 0.222 0.007 (0.165) (0.024) C3 –0.824 –0.048 (0.513) (0.122) OWN 0.067 –0.426 (0.173) (0.401) OWN2 –0.001 0.005 (0.001) (0.005) SIZE 0.212 0.011 (0.259) (0.059) SIZE2 –0.008 –0.001 (0.011) (0.002) INDEP –0.477 –0.110 (0.630) (0.141) Time effect No Sí Sí No Sí Sí Industry effect No Sí Sí No Sí Sí

No. obs. 237 237 237 246 246 246 Adj.-R2 0.029 0.138 0.293 0.046 0.725 0.734 F Test 7.15** 2.96** 3.23** 7.71** 364.28*** 365.43*** Hausman test 0.18 13.95** 15.26*** 1.08 4.87 5.05

Due to the possibility of endogeneity affecting our results, we perform two

additional analyses with alternative procedures to address this issue (Chang, et al.,

2009). First, we use a one-year lagged BOARDS variable (Coles, et al., 2008;

Hermalin and Weisbach, 1991). Table 6 reports our results. The dependent

variable is Q in the three left-hand estimates and ROA in the three right-hand

estimates.

Tabla 6: Estimation of model (1) with ordinary least squares

This table presents the estimated coefficients and (standard errors) of the estimation of model (1) with ordinary least squares. Q is the market-to-book ratio; ROA is the return on assets; BOARDS is the average number of boards of other firms to which the independent directors belong; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares owned by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders. *, **, and *** indicate 90 percent, 95 percent, and 99 percent confidence level, respectively. The adjusted-R2 coefficient is informative about the fitting of the model, and the F test about the joint significance of the explanatory variables.

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(1) (2) (3) (4) (5) (6) V. dependiente Q Q Q ROA ROA ROA

BOARDSt-1 0.190* 0.212* 0.201* 0.073** 0.069** 0.080** (0.111) (0.113) (0.114) (0.034) (0.034) (0.034)

BOARDS2t-1 –0.021* –0.022* –0.022* –0.007* –0.007* –0.007*

(0.012) (0.012) (0.012) (0.003) (0.003) (0.003) ROA 1.797*** (0.299) LEV 0.096** 0.002 (0.042) (0.012) ASSET –0.060 0.023 (0.059) (0.017) C3 –0.791** 0.823 (0.327) (0.567) OWN –0.295 0.135 (0.972) (0. 282) OWN2 0.101 0.002 (0.135) (0.003) SIZE 0.009 0.035 (0.106) (0.030) SIZE2 –0.001 –0.001 (0.003) (0.001) INDEP –0.030 0.141 (0.426) (0.129) Time effect No Sí Sí No Sí Sí Industry effect No Sí Sí No Sí Sí

No. obs. 205 205 205 205 205 205 Adj.-R2 0.016 0.044 0.104 0.020 0.041 0.114 F-test 3.49*** 8.24*** 9.14*** 1.47** 1.42** 1.46**

These results corroborate our previous conclusions. The number of BDs to

which an independent director belonged the previous year has a nonlinear relation

with both the firm’s value and performance of the corresponding year. This

nonlinear relation combines an initially positive effect that turns negative after a

certain threshold. The lagged variables increase slightly the optimal point, which

now is located between four and five BDs.

Second, we use our third set of sensitivity analyses to tackle the endogeneity

problem by conducting an estimation with simultaneous equations (Bhagat and

Black, 2001; Thomsen, et al., 2006; Young, et al., 2008). We estimate a system of

two equations through the three-stages least squares method. The first equation is

model (1), and the second equation attempts to explain the determinants of

multiple directorships. This procedure provides efficient estimates when error terms

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can be correlated across equations. Thus, the estimation of the model is like a

problem of seemingly unrelated regressions with the difference that some

explanatory variables can be endogeneous.

According to the results reported in Table 7, the number of BDs to which an

independent director belongs has an inverted U-shaped influence on the value of

the firm (column 1a) and on the performance of the firm (column 2a). This result is

in line with the findings previously reported. The performance of the firm and some

characteristics of the BD such as its size are among the determinants of the

number of BDs. Masulis and Mobbs (2011), Ferris et al. (2003) and Fich and

Shivdasani (2006) provide similar evidence in the framework of the factors that

explains the appointment of independent directors.

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Table 7: Estimation of model (1) with simultaneous equations This table presents the estimated coefficients and (standard errors) of the estimation of model [1] with simultaneous equations. Q is the market-to-book ratio; ROA is the return on assets; BOARDSt-1 is the average number of boards of other firms to which an independent director belonged the previous year; SIZE is the number of directors in the board; INDEP is the proportion of independent directors; OWN is the proportion of shares held by directors; LEV is the debt-to-equity ratio; ASSET is the log of total assets; and C3 is the proportion of shares held by the three largest shareholders. *, **, and *** indicate 90 percent, 95 percent, and 99 percent confidence level, respectively. The adjusted-R2 coefficient is informative about the fitting of the model, and the F test about the joint significance of the explanatory variables.

(1a) (1b) (2a) (2b) V. dependiente Q BOARDS ROA BOARDS

BOARDS 1.063* 0.324** (0.558) (0.137) BOARDS2 –0.258*** –0.044* (0.092) (0.024) ROA 1.829*** 1.589*** 18.87*** (0.219) (0.502) (6.524) LEV 0.071*** 0.006 (0.016) (0.005) ASSET 0.233*** –0.006 0.017 –0.226 (0.070) (0.051) (0.024) (0.201) C3 –0.002 –0.021 (0.003) (0.062) OWN –0.832 0.030 –0.020 (0.774) (0.274) (0.031) OWN2 0.001 0.001 –0.004 (0.012) (0.004) (0.039) SIZE 0.032 0.047* 0.035 –0.432 (0.085) (0.028) (0.029) (0.308) SIZE2 0.008 –0.012 0.017 (0.307) (0.010) (0.013) INDEP –0.064 0.146*** –0.070 0.101 (0.421) (0.427) (0.083) (1.136) Q 0.687*** 1.151* (0.233) (0.618) Time effect Sí Sí Sí Sí Industry effect Sí Sí Sí Sí

No. obs 236 236 236 236 Adj-R2 0.211 0.391 0.428 0.556

5. CONCLUSIONS

We provide evidence for the Spanish capital markets about how the number

of BDs to which independent directors belong influences firm’s value and

performance. The theoretical foundations are related to two possible explanations:

a reputation effect and a dedication effect. Previous literature provides evidence of

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both effects: Some authors find a negative effect on firm performance because

directors that sit on too many BDs are so busy and dispersed that they cannot

adequately perform their duties, and other authors find a positive effect on firm

performance (specially the future performance) of having directors who belong to

several BDs due to increased reputational concerns and outside connections.

Our research allows us to reconcile these conflicting results as we find a

nonlinear (inverted U-shaped) relation between the average number of BDs on

which independent directors sit and both the value and the performance of the

firms listed in the Spanish continuous market between 2007 and 2009. Initially, a

reputation effect dominates because sitting on more BDs can mean an increase in

a director’s skills and more incentives for him or her to perform his or her duties,

which can have a positive impact on the firm’s performance. Nevertheless, after a

certain threshold (our results suggest that the threshold is around four BDs of listed

companies), a dedication effect prevails as the director cannot fulfill adequately his

or her duties due to too many obligations.

Several directions are available for future research. First, it would be

interesting to expand the scope of the sample. We focus on listed firms due to the

availability of public information and because they are the firms whose directors

are required the most dedication. In addition, the directors of listed firms are

usually directors of nonquoted firms simultaneously. Second, future research may

possibly control for other factors related to the directors’ level of dedication such as

taking part in committees, being chairperson or vice-chairperson of the BD, and so

on. Third, a more detailed description of the ties among the firms to whose BDs

that the director belongs (industry, cross-shareholdings, etc.) could also shed new

light.

Our results are interesting for a wide audience. First, among policymakers

there is a concern about the pertinence of setting a legal limit to the number of BDs

to which a nonexecutive director can belong (CNMV, 2006; European Commission,

2011). Second, managers and shareholders should be interested in our results

since 44 percent of the Spanish listed firms have set a limit on the number of BDs

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on which their directors can sit (Fundación de Estudios Financieros, 2011). Third,

our results are be interesting to the academia because we provide additional and

complementary evidence to previous research on this topic.

Among the implications of our paper we note that the supervisory and

advisory ability of directors is not unlimited. Although in the first stages more firms

can benefit from this ability, a concern exists about the extent to which independent

directors can work for several firms simultaneously. Obviously, this idea must be

understood in connection with the limitations of our paper previously presented.

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