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Sahel Analyst: ISSN 1117-4668 Page 1
EFFECT OF BOARD DIVERSITY ON FINANCIAL
PERFORMANCE OF LISTED DEPOSIT MONEY BANKS
IN NIGERIA
Chandrasekharan, C.V.1
Abstract
This paper examined the effect of board diversity on financial
performance of listed deposit money banks in Nigeria. Secondary data were
collected from the published annual reports of 8 out of the 15 banks listed on
the Nigerian Stock Exchange (NSE) as at 31st December, 2015. Fixed effect
regression analysis with robust standard errors was conducted after the
Hausman specification test. The results indicated that board diversity has
significant effect on financial performance of Nigerian deposit money banks.
The outcome of this study confirms the need for the inclusion of women and
foreign directors in the top management of corporate entities. Specifically, it
was reported that both female and foreign directors have positive and
significant effect on return on assets. However, board ethnicity has negative
and insignificant effect on bank performance. It is therefore recommended
that the Central Bank of Nigeria should make it mandatory for deposit money
banks in Nigeria to have a minimum of 10% of their board members as female
directors. Also recommended is that the regulatory authorities should also
encourage the inclusion of foreign directors on the boards of banks through
moral suasion.
Keywords: Board diversity, financial performance, female directors, foreign
directors, board ethnicity.
Introduction
The increasing interest of corporate stakeholders on the role of board
diversity in improving organizational performance can be attributed to the
clamour for better governance mechanisms in different countries across the
globe. Several countries, for example, have either implemented or are
advocating for gender and foreign directors’ quotas in the board composition
of their listed companies. These countries include Norway, France, Spain and
Malaysia (Herdhayinta, 2016). In Nigeria also there has been an increasing
agitation for more diverse boards in both private and public sectors of the
1 Department of Accounting, Ahmadu Bello University, Zaria. ([email protected])
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economy. This phenomenon is largely perceived within the normative
framework for equity and social justice as opposed to discrimination against
the minority. Consequently, regulators and policy makers seldom challenge
the notion that board of directors should be composed of individuals from
varied backgrounds with a view to providing equitable opportunities to serve
on boards and in upper management positions (Carter, Simkins, D’Souza &
Simpsons, 2010). Thus, understanding the role of board diversity in financial
performance of organizations is of interest not only to managers and investors
but also to the government as it affects political choices and decisions such as
equal opportunity and inclusion.
Often the subject of board diversity is discussed within the framework
of resource dependency and upper echelon theories. The resource dependency
theory that diversity elements such as gender and ethnicity in the board
provide unique information sets for better management decision making
(Carter et al., 2010). As such, some of the benefits derivable may include
more access to information and better political connections that are much
needed to put the firm at an advantage position over its competitors. It follows
also that increasing internationalization of corporations naturally demands
diverse boards in order for the director to bring various perspectives and non-
traditional problem solving approaches. The upper echelon theory simply
asserts that organizational outcomes, both strategies and effectiveness, are
dependent on the composition of the top managers (Hambrick and Mason,
1984). These theories therefore suggest that boards consisting of directors
from varied backgrounds can be a veritable force to reckon with achieving
corporate success by impacting on group dynamics and sending positive
signal to the market. Further, Adams and Ferreira (2009) argues that when
board of directors are perceived as a collection of individuals whose biases
and prejudices, and whose behaviour is affected by social constraints and
power relations then it follows that director heterogeneity plays an important
role in the effective functioning of the board.
Today, Nigerian banks are faced with serious economic challenges that
include withdrawal of government funds from the banks with the introduction
of the Treasury Single Account (TSA), which is coupled with the economic
recession brought about by sharp fall in oil prices. These events have led to
decline in banks profitability and rise in bad loans. No fewer than 1,400
workers have been sacked in 2016 by banks in response to the challenges in
the nation’s economy, which has led to declining profits of these institutions
(Punch, June 2016). Given the importance of banks to national economies of
developing nations and its huge effect of economic growth and development,
a study of the role of boards in achieving organizational success is apt and
imperative
Like most countries in Africa, Nigerian corporate boards, including the
banking sector, are homogeneous to some extent. They are essentially male
dominated, composed of Nigerians from largely same ethnic backgrounds.
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This has continued to be the practice since the appointments are done in an old
boy network whereby the male directors introduce their friends to boards
before they retire (Wachudu & Mboya, 2010). However, there are few boards
that are heterogeneous in composition. For example, before Oceanic Bank Plc
was acquired in 2010 following corporate malpractice by its executive
directors by way of expropriating depositors’ funds, it was headed by a female
Chief Executive Officer (CEO). The unprecedented failure of the bank has led
to increasing concern by corporate stakeholders as to the relevance of women
directors in aligning the interest of mangers and that of shareholders.
Statement of the Problem
There is growing body of empirical literature that examine the
relationship between board diversity and financial performance using various
components of diversity including gender, foreigners and ethnicity. However,
most of these studies used foreign samples to document different results.
Erhart, Werbel and Shrader (2003), Carter, Simkins and Simpson (2003),
Marimuthu (2008) and Wachudu and Mboya (2010) found positive effect of
board diversity on organizational performance. Also, there are few recent
empirical evidence in Nigeria, which include Garba and Abubakar (2014) and
Ujunwa, Okeyeuzu and Nwakobi (2012). Both the Nigerian studies reported
positive association between heterogeneous boards and financial performance.
It is worth mentioning that studies in this area, especially in Nigeria
are sectorial, which makes the results largely too specific to the sample and
can hardly be extended to other sectors of the economy. For example, while
Garba and Abubakar (2014) focused on listed insurance companies Ujunwa et
al. (2012) on the other hand used very large sample that cut across all sectors.
The deficiency of these approaches is that the findings regarding the former
study may not be applicable to the banking industry given the differences of
business environment and the regulatory setting of the two industries. In the
same vein, while it is commendable that the latter used large sample, however,
this may give too general findings as the study failed to control for industry
effects. With respect to the deposit money banks, Akinyomi and Olatoye
(2014) focused on only the influence of female directors on financial
performance, while neglecting other board diversity variables. It is against this
backdrop that this study seeks to provide answer to the question: Does board
diversity affect financial performance of listed deposit money banks in
Nigeria?
Objectives of the Study
The study seeks to achieve the following specific objectives;
i. To examine the effect of female directors on financial performance
of listed deposit money banks in Nigeria.
ii. To determine the effect of foreign directors on financial
performance of listed deposit money banks in Nigeria.
iii. To examine the effect of ethnic diversity of financial performance
of listed deposit money banks in Nigeria.
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In line with the aforementioned objectives the study tests the following
hypotheses;
Ho1: Female directors have no significant effect on the financial performance
of listed deposit money banks in Nigeria
Ho2: Foreign directors have no significant effect on the financial performance
of listed deposit money banks in Nigeria
Ho3: Board Ethnicity has no significant effect on the financial performance of
listed deposit money banks in Nigeria
The study uses data of deposit money banks for the period 2009 to
2015. This period is chosen because of the increasing agitation for more
equitable and inclusive representation on corporate boards. The study
contributes to the literature in that it adds to the body of knowledge, both in
theory and empirical evidence, on the role of board diversity in financial
performance.
The remaining of the paper is structured as follows. Section two raises
conceptual issues that relate to the study, review empirical literature and
presents the theoretical framework. Section three discusses methodological
issues. Section five presents the results and section five concludes the study
and proffers recommendations.
Literature Review
In this section, the concept of board diversity is discussed and
empirical literature on the effect of board diversity on financial performance is
reviewed.
Concept of Board Diversity
There seems to be a general uniformity in the definition of board
diversity by various scholars to mean the variety in the composition of the
board of directors (Van der Walt & Ingley, 2003; Zainal, Zulkifli & saleh,
2013). In simple words, therefore, the term diversity refers to heterogeneity in
the composition of corporate board of directors. Swartz and Firer (2005) as
cited in Garba and Abubakar (2014) hold that board diversity can broadly be
defined as variety amongst the members of boards of directors, which includes
such characteristics as expertise, managerial background, personality, learning
style, age, gender, education and values. Zainul et al. (2013) explain that the
diversity characteristics can be broadly categorized into two, namely,
demographic diversity and cognitive diversity. They further explain that
demographic diversity concerns the observable or readily detectable attributes
of directors that includes race or ethnicity, nationality, gender and age,
whereas, cognitive diversity relates to the unobservable or less visible
attributes of directors, such as educational, functional and occupational
backgrounds, industry experience, and organizational membership. From the
foregoing, this study defines board diversity as heterogeneity in board
composition with respect to gender, nationality and ethnicity.
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The growing attention accorded board diversity as a component of
corporate governance is as a result of greater call for the broadening of
directors’ role to extend beyond the traditional monitoring and oversight
functions. There are various benefits derivable from diverse boards as pointed
out by several studies. These include effective and non-traditional approach to
problem solving, increased creativity and innovation and better understanding
of market dynamics (Carter et al., 2010; Zainul et al., 2013). Other advantages
include greater inclusion of corporate stakeholders in organizational decision
making and bringing various perspectives that are needed to face the
numerous challenges that characterize today’s complex business environment
(Van der Walt & Ingley, 2003). However, there are a few other studies that
argue against a heterogeneous board. These studies maintain that even though
a diverse board is more likely to have more access to information, the board
may also experience communication and coordination problems due to the
failure to accept other members’ expertise in the problem solving process
(Huse & Solberg, 2006). Despite this criticism there is growing advocacy and
acceptance of varied board even as there are emerging empirical evidence that
demonstrate its relationship with financial performance.
Board Diversity and Financial Performance As mentioned earlier, there are empirical studies that investigated the
impact of gender diversity on financial performance. These studies are
characterized by mixed findings, which is as a result of differences in
governance mechanisms and institutional settings of countries which are
coupled with differences in research perspectives. Using data on 432 major
American corporations for the period 1997 to 2006, Dobbin and Jung (2011)
analyzed the effect of corporate gender diversity on stock performance. The
pooled OLS regression results indicated increases in board gender diversity
did not significantly affect subsequent profitability. For stock performance,
however, it was reported that firms experienced fall in share prices following
the appointment of female directors on corporate boards. It is worth noting
that the sharp difference between the strength of corporate governance
between the developed and developing nations could render this finding
irrelevant in the Nigerian scenario.
Wachudu and Mboya (2011) tested the effect of board gender diversity
on performance of commercial banks in Kenya for the period 1998 to 2009.
The sample consisted of 32 commercial banks and stepwise regression was
used as the technique of analysis. It was found that gender board diversity has
no significant effect on performance of commercial banks in Kenya. This
finding, as pointed out by the study, may be as a result of poor representation
of female on corporate boards. On the contrary, Gulamhussen and Santa
(2010) used a sample of 25 top banks from OECD countries to examine the
same association. The two-stage least square regression result showed a
positive relationship between gender diversity and financial performance.
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In Nigeria, Ujunwa et al. (2013) studied this relationship using a
sample of 122 listed Nigerian firms for the period 1991 to 2008. The fixed
effect generalized least square regression result revealed a negative interaction
between female directors and return on asset. This suggests that female
directors are weak monitors of top management and that they adversely affect
financial performance of firms. The result of this study is marred by certain
shortcomings. First, the period covered extended the period prior to the
introduction of Code of Corporate Governance for listed companies in
Nigeria. This period is characterized by weak governance structures and
certain important governance recommendations such as the requirement for
independent directors to the board were not in place. It follows therefore that
appointments may not have been based on merit but based on ties with the
board leaders typically the CEO and the Chairman. Second, the inclusion of
all sectors of the economy in the study sample may give results that are too
generic and may not apply to certain sectors. This is because the requirements
for the sectors in terms of board composition vary. Hence the proliferation of
different codes for corporate governance in Nigeria, which are tailored to suit
the need of the different industries.
Regarding nationality, extant literature provides mixed result on the
effect of foreign directors on financial performance. In this regard Randoy,
Thomsen and Oxelheim (2006) studied the influence of foreign directors on
corporate performance using a sample of Norwegian and Swedish firms. Their
regression analysis result, which controlled for country specific factors, shows
a significant positive impact on nationality on Torbin’s Q. In a similar study,
Oxelheim, Gregoric, Randoy and Thomsen (2013) used sample of firms from
Denmark, Norway, Sweden and Finland to demonstrate that the percentage of
foreign board members is positively related to financial internationalization.
The further demonstrated that recruitment of an outsider Anglo-American
director showed a significantly higher firm value than Anglo-American
director and this, they observed, can be seen as an alternative to reduce cost of
capital.
Similar studies were also conducted on the effect of board ethnicity on
financial performance. Carter, Simkins and Simpsons (2003) studied the
impact of ethnic minorities on the boards of Fortune 100 firms in the United
States. The study defined ethnic minorities as composing of are African-
Americans, Asians, and Hispanics. It was documented that ethnic minorities
had significant positive interaction with firm value. In Nigeria, Garba and
Abubakar (2014) documented a positive effect with ROA, ROE and Tobin’s
Q in a sample of 12 listed insurance firms for the period 2004 to 2009. On the
contrary, Ujunwa et al. (2013) demonstrated that ethnicity did not have
significant effect on financial performance using a sample of 125 listed firms
in Nigeria. The controversy between these two Nigerian studies may be as a
result of sample bias as Garba and Abubakar (2014) studied only insurance
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firms, while Ujunwa et al. (2013) used a comprehensive data that cut across
all sectors.
From the review of empirical literature, it is observed that while there
is increasing agitation for board diversity, the statistical evidence on its impact
in driving firm value has been mixed. These differences of findings are largely
as a result of sample selection and methodological disparities. This study
supports sectorial approach to studies of this nature because different sectors
require different board compositions, which could help in achieving
organizational goals.
Theoretical Framework
Among the theories that have been used to explain the association
between board diversity and financial performance, the resource dependency
and upper echelon theories stand out. Both theories serve as the underpinning
theories for this study.
i. Resource Dependency Theory: Resource dependency theory predicts
that diverse directors give access to important constituencies in
external environments. Moreover, diversity of board members sends
positive signals to the market because it demonstrates the existence of
various perspectives and non-traditional approaches to problem
solving.
ii. Upper Echelon Theory: In a similar argument, the upper echelon
theory posits that organizational outcomes are contingent upon the
composition and competence of those at the top management. Since
board of directors is the highest decision making authority of the
organization, its structure is an important tool in achieving financial
performance.
Methodology The causal research approach is chosen as the design for the study.
This approach, specifically the correlational research design, offers the
latitude to test the statistical association and/or variability among variables.
The design enables the researcher to test the adopted theory against unique
and large sample observations that make findings more generalised to the
study population as a whole. All 15 listed Deposit Money Banks (DMBs)
serve as the population of the study. Two criteria were used to arrive at the
sample. One, the bank must have continuously traded on the floor of the
Nigerian Stock Exchange for the period 2009 to 2015. Two, it must have
readily available data for all the variables of interest. This gives a sample of 8
banks that meet up with both the criteria. The data were collected from a
secondary source through published annual reports.
The study adopts the heteroskedasticity corrected fixed effect
regression as the technique of data analysis. This model was adopted after the
Hausman specification test suggested fixed effect model as the one the fits the
data. However, we tested for homoskedastcity using the modified wald test for
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group-wise heteroskadasticity. The result suggested the constant variance
assumption of the fixed effect model was not violated, hence the application
of the model using robust standard errors.
Based on the resource dependency and the upper echelon theories,
financial performance (ROA) is measured as a linear function of Board
Diversity in line with previous studies such as Carter et al. (2010) and
Wachudu and Mboya (2010). Mathematically,
It follows that:
Where = Return on Assets
= Ratio of Female directors to total number of Directors
= Ratio of foreign directors to total number of directors
= dichotomous variable: 1 if the board consists of directors from the
three ethnic groups in Nigeria, that is, Hausa, Igbo and Yoruba, and 0
otherwise.
= Board size, which is the total number of directors on the board.
= firm i at time t
= constant term
and are parameters to be estimated.
The study controls for board size based on its established link with
financial performance. A lot of studies argued for this control because larger
boards have been statistically proven to constrain financial performance
because of difficulty in decision making. It has also been posited that larger
boards pay more attention to courtesy and politeness rather discharging its
primary oversight and monitoring functions. Several studies have also
controlled for board size in board diversity studies such as Garba and
Abubakar (2014) Wachudu and Mboya (2010).
Result and Discussion
This section presents the results of the study, which is followed by
discussion and policy implications of findings. The presentation follows this
sequence; descriptive statistics, correlation matrix and the regression result.
Descriptive Statistics
The descriptive statistics provides an insight into the basic
characteristics of the data but does not lend itself to statistical inferences. The
statistics include mean, standard deviation, minimum, maximum and
skewness and kurtosis.
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Table 1: Descriptive Statistics
Variables ROA FMD FORD ETH BS
Mean 1.61 8.90 15.63 0.63 13.80
Std. Dev. 1.46 6.50 16.14 0.49 3.37
Min. -1.95 0.00 0.00 0.00 8.00
Max. 5.00 25.00 50.00 1.00 20.00
Swilk Prob. 0.39 0.03 0.00 0.93 0.07
Obs 56 56 56 56 56
Source: Summary of Descriptive Statistics from Stata 13
Table 1 reveals that financial performance of listed deposit money
banks recorded an average of 1.6% of total assets during the period of study.
The figure does not vary substantially across the banks as indicated by the
standard deviation. However, the minimum and maximum of -1.95 and 5.0
respectively indicate that while some banks recorded loss of about 2% of total
assets, others have recorded profit of 5%. With respect to the board diversity
variables, the statistics shows that female directors represented only 8% of the
total number of director and a standard deviation of 6.5. The maximum
number of female representation is 25% of board size and the minimum was
zero. This shows that boards of Nigerian banks are essentially male
dominated. Foreign directors have a mean of 15.6%, with standard deviation
of 16.1 and a minimum and maximum of 0 and 50% respectively. The
statistics indicates that while some banks had zero foreigners on their
corporate boards, others have a fairly large representation of 50%. Ethnic
diversity has a mean of 0.63% indicating that more than half of the firms in
the sample are composed of directors that cut across the three major ethnic
groups in Nigeria. Number of directors that sit of the board of Nigerian banks
had a mean of 14 members and a maximum of 20. There is wide variation of
this number within the banks as indicated by the large difference between the
mean and the standard deviation.
Table 2: Correlation Matrix
Variable ROA FMD FORD ETH BS
ROA 1.0000
FMD 0.4712 1.0000
FORD 0.0107 0.4779 1.0000
ETH 0.0614 -0.4023 -0.3462 1.0000
BS -0.0398 -0.2348 -0.6284 0.5287 1.000
Source: Correlation Matrix result obtained from Stata 13
Table 2 shows the correlation matrix which reveals the relationship
among pairs of variables in a regression model. The results show that all board
diversity variables are positively correlated with financial performance
(ROA). Female directors, foreign directors and ethnicity have correlation
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coefficients of 0.47, 0.01 and 0.06 respectively. This simply implies that as
diversity increases so does return on asset of deposit money banks. On the
contrary, board size reveals an inverse association with return on assets. A
closer look at the result shows that the association among pairs of independent
variables is within the acceptable range of 0.80 as suggested by Gujarati
(2008). This further shows that the variables are fit to be accommodated in the
same regression model because they are free from exact correlations, which
may bias regression estimates.
Table 3: Summary of Regression Result
Variable Coefficient Robust Std.
Err
t Prob.
Constant -5.1823 1.1134 -4.65 0.002
FMD 0.1834 0.0205 8.97 0.000
FORD 0.0284 0.0073 3.89 0.006
ETH -0.0775 0.1030 -0.75 0.476
BS 0.3453 0.0670 5.15 0.001
R-Square
(Within)
0.6062
F. Stat 160.96
Prob. of F. 0.000
Summary of Fixed Effect Regression obtained from Stata 13.
As can be seen from Table 3, the regression result shows that the
coefficient of determination (R- square within) has the value of 0.61 indicating
that board diversity variables explain the variation in financial performance to
61%. The other 39% is explained by other factors not captured in the model.
Also, the F. statistics of 160.96 which is significant at 1% shows that the
model is fit. Various robustness tests were conducted in order to ensure the
reliability of the results. Firstly, because we deal with panel data analysis, the
hausman specification test was conducted in order to make a choice between
fixed effect and random effect regression models. The test returned a chi2 of
11.89 which was significant at 1% suggesting that the fixed effect model is
appropriate and efficient. A further test of the group-wise heteroskedasticity
test using the wald test was also conducted and the result shows that the data
violates the homoskedastcity assumption. This makes it imperative to run the
fixed effect regression model with robust standard errors which corrects for
absence of constant variance of the error term. Lastly, multicollinearity test
was conducted using the Variance Inflation Factor (VIF). The result indicated
mild VIF coefficients which suggested there is no harmful multicollinearity
among the independent variables. All results are attached in the appendix.
The regression equation therefore is as follows:
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Turning our attention to the individual variables, the result shows that
ratio of female directors has a coefficient of 0.18 and a t- value of 8.97 which
is positive and significant at 1%. This implies that other factors held constant,
1% increase in female directors will lead to 1.8% increase in return on assets.
The finding is similar to Garba and Abubakar (2014) who reported similar
finding when they studied a sample of Nigerian insurance firms. The
similarity may point to the fact that gender diversity plays a significant role in
achieving financial performance of the Nigerian financial sector in general.
Also, our result confirms finding from other countries such as the OECD
countries as reported by Gulamhussen and Santa (2011). However, the result
contradicts both Ujunwa et al (2013) and Wachudi and Mboya (2010) who
reported an inverse effect of female directors on return on assets in Nigerian
and Kenyan firms respectively. Further, our findings is in line with the
resource dependency theory which posits that diversity brings about more
connection to the external environment and varied problem solving
approaches that can trigger financial performance. Based on this, the study
rejects the null hypothesis which states that female directors have no
significant effect on financial performance of listed deposit money banks in
Nigeria.
Foreign directors has a coefficient of 0.02, and a t value of 3.89 which
is significant at 1% indicating that 1% increase in foreign directors, all other
factors remaining constant, will lead to 0.2% increase in financial
performance. This supports the findings of Randoy and Oxelheim (2006) and
Oxelheim et al. (2013) who found the same results using sample of firm from
Denmark, Norway, Sweden and Finland. The result further conforms to the
finding of Garba and Abubakar (2014). Our finding also supports the resource
dependency theory which predicts that board diversity across nationality lines
will help firms have more access to critical resources such as financial
flexibility by way of reduction of cost of capital by enhancing cross-border
information acquisitions and consequently higher return on assets. This study
therefore rejects the null hypothesis which states that foreign directors have no
significant effect on financial performance of listed deposit money banks in
Nigeria.
The result of board ethnicity is not statistically significant at 10%. The
sign is however negative indicating that ethnic diversity may hamper firm
performance. This may be as a result of difficulty that is likely to arise as a
result of geographical and communication gaps. Lastly, board size which is a
control variable in this study has a negative effect on financial performance.
This implies that smaller boards are more effective in achieving organizational
success.
Our findings offer various policy implications. Firstly, it confirms the
need for the inclusion of women in the boards of deposit money banks. This is
relevant in the face of increasing agitation for gender diversity in both
corporate and political spheres in response to the need for women
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empowerment and poverty alleviation in Nigeria. Secondly, heterogeneity of
boards with respect to nationality is an indication that host countries are
liberal and open to foreign direct investments. This is also much needed in the
increasing globalization and interconnectivity of national capital markets.
Conclusion
The subject of board diversity has attracted much attention and policy
debates among stakeholders of firms corporate entities. This is partly as a
result of increase business competitiveness and the need to explore other
options, especially with regards to board of directors’ composition, in order to
improve business performance. It is as a result of this and the dearth of
empirical evidence on the research area, the present study examines the effect
of board diversity and financial performance of listed deposit money banks in
Nigeria. The results indicate that heterogeneous boards have effect on
financial performance. Specifically, the study documents that both gender and
national diversity positively affect financial performance. This means that
boards structured to compose of females directors and directors from varied
nationalities have the tendency of improving firm performance.
Recommendations
It is therefore recommended that the Central Bank of Nigeria should
make it mandatory for deposit money banks in Nigeria to have a minimum of
10% of their board members as female directors. Also recommended is that
the regulatory authorities should also encourage the inclusion of foreign
directors on the boards of the banks through moral suasion.
The result of the study should be interpreted with caution as it is not
devoid of limitations. One such limitation is that the study considers only
listed deposit money banks in Nigeria. The findings may not apply to other
domains or even the same domain at different period. However, this
shortcoming does not invalidate the outcome of the study as it is largely
consistent with the findings from previous empirical evidences.
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Effect of Board Diversity on Financial Performance of Listed Deposit Money Banks in
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Sahel Analyst: ISSN 1117- 4668 Page 15
Appendix
bs -0.0398 -0.2348 -0.6284 0.5287 1.0000
eth 0.0614 -0.4023 -0.3462 1.0000
frd 0.0107 0.4779 1.0000
fmd 0.4712 1.0000
roa 1.0000
roa fmd frd eth bs
(obs=56)
. correlate roa fmd frd eth bs
bs 56 13.80357 3.370566 8 20
eth 56 .625 .4885042 0 1
frd 56 15.6268 16.13536 0 50
fmd 56 8.904206 6.499496 0 25
roa 56 1.613472 1.464126 -1.952344 4.996714
Variable Obs Mean Std. Dev. Min Max
. summarize roa fmd frd eth bs
_cons 2.002434 1.005721 1.99 0.052 -.0166342 4.021503
bs -.148017 .0698099 -2.12 0.039 -.2881663 -.0078677
eth 1.19159 .4150891 2.87 0.006 .3582639 2.024916
frd -.0387053 .0143518 -2.70 0.009 -.0675178 -.0098929
fmd .1700654 .0302807 5.62 0.000 .1092744 .2308564
roa Coef. Std. Err. t P>|t| [95% Conf. Interval]
Total 117.901503 55 2.1436637 Root MSE = 1.1884
Adj R-squared = 0.3412
Residual 72.0242627 51 1.41224045 R-squared = 0.3891
Model 45.8772407 4 11.4693102 Prob > F = 0.0000
F( 4, 51) = 8.12
Source SS df MS Number of obs = 56
. regress roa fmd frd eth bs
Mean VIF 1.84
fmd 1.51 0.662911
eth 1.60 0.624492
frd 2.09 0.478824
bs 2.16 0.463774
Variable VIF 1/VIF
. vif
Sahel Analyst: Journal of Management Sciences (Vol.14, No.3, 2016), University of Maiduguri
Sahel Analyst: ISSN 1117-4668 Page 16
. est store re
rho .76518442 (fraction of variance due to u_i)
sigma_e .68519813
sigma_u 1.2369034
_cons -3.620691 1.432002 -2.53 0.011 -6.427363 -.814019
bs .2351238 .0976641 2.41 0.016 .0437056 .426542
eth .1788309 .4099572 0.44 0.663 -.6246705 .9823324
frd .0179627 .0170468 1.05 0.292 -.0154485 .0513739
fmd .1792575 .0281969 6.36 0.000 .1239925 .2345225
roa Coef. Std. Err. z P>|z| [95% Conf. Interval]
corr(u_i, X) = 0 (assumed) Prob > chi2 = 0.0000
Wald chi2(4) = 59.14
overall = 0.1674 max = 7
between = 0.0420 avg = 7.0
R-sq: within = 0.5982 Obs per group: min = 7
Group variable: id Number of groups = 8
Random-effects GLS regression Number of obs = 56
. xtreg roa fmd frd eth bs, re
. est store fe
F test that all u_i=0: F(7, 44) = 15.63 Prob > F = 0.0000
rho .85372206 (fraction of variance due to u_i)
sigma_e .68519813
sigma_u 1.6553316
_cons -5.182289 1.510802 -3.43 0.001 -8.227109 -2.137468
bs .3452987 .1100003 3.14 0.003 .1236077 .5669898
eth -.0774609 .4184061 -0.19 0.854 -.9207031 .7657812
frd .0284367 .0181431 1.57 0.124 -.0081283 .0650018
fmd .1834462 .0283116 6.48 0.000 .126388 .2405045
roa Coef. Std. Err. t P>|t| [95% Conf. Interval]
corr(u_i, Xb) = -0.6191 Prob > F = 0.0000
F(4,44) = 16.94
overall = 0.1225 max = 7
between = 0.0169 avg = 7.0
R-sq: within = 0.6062 Obs per group: min = 7
Group variable: id Number of groups = 8
Fixed-effects (within) regression Number of obs = 56
. xtreg roa fmd frd eth bs, fe
Effect of Board Diversity on Financial Performance of Listed Deposit Money Banks in
Nigeria
Sahel Analyst: ISSN 1117- 4668 Page 17
(V_b-V_B is not positive definite)
Prob>chi2 = 0.0182
= 11.89
chi2(4) = (b-B)'[(V_b-V_B)^(-1)](b-B)
Test: Ho: difference in coefficients not systematic
B = inconsistent under Ha, efficient under Ho; obtained from xtreg
b = consistent under Ho and Ha; obtained from xtreg
bs .3452987 .2351238 .110175 .0506141
eth -.0774609 .1788309 -.2562918 .0836586
frd .0284367 .0179627 .010474 .0062111
fmd .1834462 .1792575 .0041887 .0025454
fe re Difference S.E.
(b) (B) (b-B) sqrt(diag(V_b-V_B))
Coefficients
. hausman fe re
Prob>chi2 = 0.0000
chi2 (8) = 92.68
H0: sigma(i)^2 = sigma^2 for all i
in fixed effect regression model
Modified Wald test for groupwise heteroskedasticity
. xttest3
rho .85372206 (fraction of variance due to u_i)
sigma_e .68519813
sigma_u 1.6553316
_cons -5.182289 1.113381 -4.65 0.002 -7.815015 -2.549562
bs .3452987 .067031 5.15 0.001 .1867957 .5038018
eth -.0774609 .1029828 -0.75 0.476 -.3209764 .1660546
frd .0284367 .0073141 3.89 0.006 .0111416 .0457318
fmd .1834462 .0204569 8.97 0.000 .1350734 .231819
roa Coef. Std. Err. t P>|t| [95% Conf. Interval]
Robust
(Std. Err. adjusted for 8 clusters in id)
corr(u_i, Xb) = -0.6191 Prob > F = 0.0000
F(4,7) = 160.96
overall = 0.1225 max = 7
between = 0.0169 avg = 7.0
R-sq: within = 0.6062 Obs per group: min = 7
Group variable: id Number of groups = 8
Fixed-effects (within) regression Number of obs = 56
. xtreg roa fmd frd eth bs, fe robust