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IOSR Journal of Economics and Finance (IOSR-JEF)
e-ISSN: 2321-5933, p-ISSN: 2321-5925.Volume 6, Issue 2. Ver. III (Mar.-Apr. 2015), PP 65-70
www.iosrjournals.org
DOI: 10.9790/5933-06236570 www.iosrjournals.org 65 | Page
Foundations of Financial Sector Mechanisms and Economic
Growth in Emerging Economies: A Panel–Data Approach
towards a Nexus
Safaeduzzaman Khan
Department of Economics, School of Business and Economics,
United International University, Dhaka, Bangladesh
Abstract: In this paper, we try to uncover the economic foundations of financial sector development and its
impacts on accelerating economic growth in the given context of emerging economies. We theorize and
empirically test a causally-motivated relationship among economic growth and related key financial sector
variables pertinent to this problem. We accomplish this by analyzing a 20 year panel-data constructed for 30
countries falling within the categorization of an ‘emerging economy’. We estimate the appropriate statistical
models along with related diagnostic tests. Finally, we comment on the strengths and weaknesses of our
approach and we try to explicate the economic rationale and justification for our formulation and the evidences
that follow.
Keywords: Economic Growth, Financial Development, Emerging Economies, Panel Data
I. Introduction
Economists hold startlingly dissimilar opinions regarding the significance of the financial system for
economic growth. Walter Bagehot (1873) and John Hicks (1969) dispute that it played a critical role in igniting
industrialization in England by facilitating the mobilization of capital for "massive works." Joseph Schumpeter
(1912) challenges that well-functioning banks spur technological innovation by identifying and funding those
entrepreneurs with the best possibilities of comprehensively implementing innovative products and production
processes. Contrary to that, Joan Robinson (1952, p. 86) asserts that "where enterprise leads finance follows."
According to this view, economic development entails demands for particular types of financial arrangements,
and the financial system channels automatically to these demands. Moreover, some economists just do not trust
that the finance-growth relationship is imperative. Robert Lucas (1988, p. 6) asserts that economists "badly
over-stress" the role of financial factors in economic growth, while development economists in emerging
economies frequently express their skepticism about the role of the financial system by ignoring it. In light of
these conflicting views, this paper uses present theories to systematize an analytical framework of the finance-
growth nexus and then assesses the quantitative importance of the financial system in economic growth.
Although conclusions must be stated cautiously and with sufficient qualifications for optimisms, the
preponderance of theoretical reasoning and empirical evidence induces a positive, first order relationship
between financial development and economic growth.
We specifically tackle the issues of „emerging economies‟ having „emerging markets‟ due to two
specific reasons. The first is that, in thinking about developing-country macroeconomic issues, it is often
necessary to modify the conceptual frameworks that are generally available in research published keeping
industrial countries in mind. All macroeconomic models are built upon stylized descriptions of the environment
in which economic agents interrelate and interact, and this environment often diverges in important ways in
emerging economies from that in industrial countries. The second reason is possibly more important. It is that,
in particular because of the “emergent” nature of these economies, the most significant policy issues that
economists and policymakers in developing countries face are often quite different from those that typically
occupy center stage in industrial-country setting.
II. Literature Review
Although a burgeoning empirical literature suggests that well-functioning financial system accelerate
economic growth, these studies generally do not simultaneously examine stock market and other monetary
transmission mechanisms in context of development. King and Levine (1993a,b) illustrate that bank
development – as computed by the total liquid liabilities of financial intermediaries (e.g., M3) divided by Gross
Domestic Product (GDP) helps explain economic growth. Levine (1998, 1999) and Levine, Loayza, and Beck
(2000) substantiate this finding but advance upon King and Levine (1993a,b) by (1) using measures of bank
development that comprise only credit to private firms and therefore eliminate credit to the public sector and by
(2) using instrumental variable procedures to control for simultaneity bias. This literature, however, omits
Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies…
DOI: 10.9790/5933-06236570 www.iosrjournals.org 66 | Page
measures of transaction mechanism development because measures of specification problems. Further, while
theory motivates the potential relationship between economic growth and the simultaneous level of financial
development, Levine and Zervos (1998) use primary values of stock market and bank development. While
recent work has endeavored to solve some of the statistical deficiencies in the Levine and Zervos (1998) study,
statistical and conceptual problems persist. Arestis, Demetriades and Luintel (2000) use quarterly data and apply
time series methods to five developed economies and show that while both banking sector and stock market
development explain subsequent growth, the effect of banking sector development is substantially larger than
that of stock market development. Rousseau and Wachtel (2000) make a vital input to the literature by using
panel techniques with annual data to evaluate the relationship between stock markets, banks, and growth. They
use M3/GDP to measure bank development and the Levine and Zervos (1998) measures of stock market size
and activity. Rousseau and Wachtel (2000) use the difference panel estimator. But all of the studies focus
predominantly on developed economies. Researchers have not undertaken the systematic study of emerging
economies yet.
III. Variables And Model Specification
We divide the financial system into three schemas: micro variables, intermediate variables and macro
variables. Each of these schemes of variables groups itself according to its generic functionalities. Seemingly,
micro variables tend to capture the „credit and stock‟ part of financial system. Intermediate variables perform the
„channeling‟ function of the system, whereas macro variables measure the „aggregate‟ and ultimate impact of
economic interactions. In our panel-data model, we let GDP growth (annual %), represented in the model as
[GDPg], to be the dependent variable. Hence, the list of pertinent independent variables is as follows:
1. Real interest rate (%) [R]
2. Domestic credit provided by banking sector (% of GDP) [DCBank]
3. Domestic credit to private sector (% of GDP) [DCPvt]
4. Foreign direct investment, net inflows (% of GDP) [FDI]
5. Broad money growth (annual %) [BMg]
6. Stocks traded, turnover ratio (%) [STTr]
7. Trade (% of GDP) [T]
8. Market capitalization of listed companies (% of GDP) [MktCLC]
9. Gross capital formation (annual % growth) [GCK]
10. Gross savings (% of GDP) [GS]
Ultimately, the empirical model to be regressed is formulated as
𝐆𝐃𝐏𝐠𝐢𝐭 = 𝛃 𝟎 + 𝛃 𝟏 𝐑 𝐢𝐭 + 𝛃 𝟐 𝐃𝐂𝐁𝐚𝐧𝐤𝐢𝐭 + 𝛃 𝟑 𝐃𝐂𝐏𝐯𝐭𝐢𝐭 + 𝛃 𝟒 𝐅𝐃𝐈𝐢𝐭 + 𝛃 𝟓 𝐁𝐌𝐠 𝐢𝐭 + 𝛃 𝟔 𝐒𝐓𝐓𝐫𝐢𝐭 + 𝛃 𝟕 𝐓𝐢𝐭
+ 𝛃 𝟖 𝐌𝐤𝐭𝐂𝐋𝐂𝐢𝐭 + 𝛃 𝟗 𝐆𝐂𝐊 𝐢𝐭 + 𝛃 𝟏𝟎 𝐆𝐒𝐢𝐭 + 𝐮𝐢𝐭
Here, the subscripts „i‟ stands for the panel variable and „t‟ stands for the time variable.
IV. Data Collection And Data Sources
As per the terming of „emerging economies‟ is concerned for developing countries with a strong
market potential, we use the classification suggested by Goldman Sachs Investment Bank to fulfill the additional
criteria of macroeconomic stability, political maturity, openness of trade and investment policies, and the quality
of education. Hence, we construct our sample with all the countries belonging to the „G-20‟ developing
countries, the „Next Eleven‟ countries and the „BRICS‟ economies. Thus, we retain a sample of 30 countries.
We set the time period ranging from 1991 to 2010. Ultimately, we have the exhaustive and comprehensive
panel-data for 30 developing countries, each with a 20 years‟ time period, culminating into 600 observations.
We extract all the data from the „World Development Indicators- 2012‟ sources downloaded from the World
Bank Website. We use the „Stata‟ econometric software for all of our calculations and estimations.
V. Model Estimations And Data Analysis
1. Fixed-Effects Regression Model:
We use fixed-effects (FE) whenever we are only interested in analyzing the impact of variables that
vary over time. As it explores the relationship between explained and explanatory variables within an entity,
each entity is assumed to have its own individual characteristics that may or may not influence the explanatory
variables. We estimate the fixed-effects regression as follows:
Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies…
DOI: 10.9790/5933-06236570 www.iosrjournals.org 67 | Page
Dependent Variable: GDPg
Variables Coefficients Standard Error T-Statistic P-Value
R -.0272779 .004344 -6.28 0.000
DCBank -.0846366 .0142968 -5.92 0.000
DCPvt .048861 .0158309 3.09 0.002
FDI .0425632 .0676509 0.63 0.530
BMg .0013025 .007886 1.65 0.099
STTr .0005864 .0025602 0.23 0.822
T .017933 .0092052 1.95 0.052
MktCLC .0146168 .0039961 3.66 0.000
GCK .1622208 .0077012 21.06 0.000
GS .0262967 .0241351 1.09 0.276
Constant 3.865992 .707186 5.47 0.000
R-squared (overall): 0.4422, Rho: 0.37831972, F-Statistic (10, 560): 70.77, Prob (F-Statistic): 0.0000
We see here, GDPg is negatively related to the variables R and DCBank, of which not a single one is
statistically significant; also GDPg is positively related to all other variables in question. By judging the p-
values, the variables FDI, T and STTr are statistically significant, whereas GCF is statistically strongly
significant as suggested by t-values and still practically significant by p-value. All other variables are not
statistically significant as suggested by p-value. The value of rho suggests that 37.83% of the variance is due to
difference across panels. F-test suggests strong joint statistical significance in this fixed-effects setting. We also
compute heteroskedasticity-adjusted coefficients for this model later on as suggested by statistical inquiries.
2. Random-Effects GLS (Generalized Least Square) Model:
In the random-effects (RE) model, the variation across entities is expected to be random and
uncorrelated with the predictor or independent variables included in the model. The principal difference between
fixed and random effects is whether the overlooked individual effect represents elements that are correlated with
the regressors in the model. As our formulation permits, we estimate the random-effects GLS regression as
follows:
Dependent Variable: GDPg
Variables Coefficients Standard Error Z-Statistic P-Value
R -.0266909 .0040492 -6.59 0.000
DCBank -.0536369 .0119721 -4.48 0.000
DCPvt .0427272 .0137091 3.12 0.002
FDI .0815038 .0636519 1.28 0.200
BMg .0005622 .0007623 0.74 0.461
STTr .0029296 .0022894 1.28 0.201
T -.0002247 .0061107 -0.04 0.971
MktCLC .0096576 .0036567 2.64 0.008
GCK .165643 .0077263 21.44 0.000
GS .0493951 .0192563 2.57 0.010
Constant 3.0177 .5574642 5.41 0.000
R-squared (overall): 0.5385, Rho: 0.14126239, Wald Chi-sqaured Statistic: 707.84, Prob (Chi-sqaured
Statistic): 0.0000
In this random-effects model, we see, GDPg is negatively related to the variables R, DCBank and T,
where neither is statistically significant; GDPg is positively related to all other variables in question. By judging
the p-values, the variables FDI, BMg, STTr and T are statistically significant, whereas all other variables are not
statistically significant as suggested by p-value. The Value of rho suggests that 14.12% of the variance is due to
difference across panels. F-test suggests strong joint statistical significance in this random-effects setting. We
also compute heteroskedasticity-adjusted coefficients for this model. But we notice, due to huge Wald chi-
square values as compared to table-values, the whole random-effects formulation can be called into question.
We can further demonstrate the acceptability of models by Hausman Test.
3. Hausman Test:
If the error terms are correlated then Fixed-Effects (FE) model is not appropriate since inferences may
not be correct. Then we need to model that relationship by using Random-Effects (RE) model. This is the main
rationale for the Hausman test as it presents a criterion of choosing Fixed Effects (FE) or Random Effects (RE)
models one over another. We perform the Hausman test as follows:
Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies…
DOI: 10.9790/5933-06236570 www.iosrjournals.org 68 | Page
Dependent Variable: GDPg
Variables Coefficients
(Fixed)
Coefficients (Random) Difference Standard Error
R -.0272779 -.0266909 -.000587 0.0015728
DCBank -.0846366 -.0536369 -.0309998 0.0078146
DCPvt .048861 .0427272 .0061338 0.0079168
FDI .0425632 .0815038 -.0389406 0.0229146
BMg .0013025 .0005622 .0007404 0.000202
STTr .0005864 .0029296 -.0023522 0.001146
T .017933 -.0002247 .0181577 0.0068845
MktCLC .0146168 .0096576 .0049592 0.0016115
GCK .1622208 .165643 -.0034221 -
GS .0262967 .0493951 -.0230984 0.0145498
Constant 3.865992 3.0177 .8482911 0.4351388
Chi-squared Statistic: 36.59, Prob (Chi-squared Statistic): 0.0001
We see the Prob (>Chi-squared Statistic) = .0001 is less than permitted band of .05. So, we can strongly reject
the null hypothesis and state that unique errors are not correlated with regressors. So, fixed-effects is the
appropriate model. Bruesch-Pagan Lagrangian Multiplier Test for Random Effects can explicate this issue
further.
4. Bruesch-Pagan Lagrangian Multiplier Test:
The LM test helps us decide between a random effects regression and a simple OLS regression. The null
hypothesis in the LM test is that variances across entities are zero. That is, no significant difference across units.
We perform the test as follows:
Dependent Variable: GDPg
Terms Variance Standard Deviation
GDPg 18.67191 4.3211
e 6.944371 2.635217
u 1.142349 1.068807
Var(u)= 0, Chi-squared: 81.44, Prob(Chi-squared): 0.0000
Here, Prob (>Chi-squared Statistic)=0.0000 is less than .05. So, we can strongly reject the null hypothesis and
say that there exist non-zero variances across entities. So, in this case, OLS will definitely lead to erroneous
results.
5. Modified Wald Test in Fixed-Effects Regression:
We perform the modified Wald-test to detect group-wise heteroskedasticy in the Fixed-Effects
Regression model. The null hypothesis is that there exists equal variances across identities, We perform the test
and note that the Chi-squared Statistic (30) is 1356.42 and Prob (>Chi-squared Statistic) is 0.0000. Hence, Prob
(>Chi-squared Statistic) =0.0000 suggests a strong rejection of null hypothesis. So, there exist unequal variances
across identities. To aid this problem we construct a robust formulation of FE regression model.
Dependent Variable: GDPg
Variables Coefficients Robust
Standard Error
T-Statistic P-Value
R -.0272779 .0031181 -8.75 0.000
DCBank -.0846366 .0266777 -3.17 0.004
DCPvt .048861 .0203815 2.40 0.023
FDI .0425632 .0790975 0.54 0.595
BMg .0013025 .0006286 2.07 0.040
STTr .0005864 .0025145 0.23 0.820
T .017933 .016447 1.09 0.285
MktCLC .0146168 .0038581 3.79 0.001
GCK .1622208 .0158319 10.25 0.000
GS .0262967 .0290598 0.90 0.373
Constant 3.865992 1.065071 3.63 0.001
R-squared (overall): 0.4422, Rho: 0.37831972, F-Statistic (10, 29): 50.96, Prob (F-Statistic): 0.0000
Like the previous Fixed-effects model, here also FDI, STTr, T are all strongly statistically significant.
It is interesting to note that GCF is no more statistically significant but GS is strongly statistically significant in
reference to p-values. So, FDI, STTR, T and GS are the statistically significant variables with positively-signed
coefficients. No other variable is statistically significant in the model.
Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies…
DOI: 10.9790/5933-06236570 www.iosrjournals.org 69 | Page
VI. Further Diagnostic Tests And Measures For Accuracy
1. Wooldridge Test for Serial Autocorrelation:
We apply Wooldridge test, a test for identifying serial correlation as our data set constitutes a macro-
panel with long time series. Serial correlation causes the standard errors of the coefficients to be smaller than
they actually are. The null hypothesis states that there are no first-order autocorrelation. We perform the test and
note that F-Statistic (1, 29) is 31.102 and Prob (>Chi-squared Statistic) is 0.0000. As the null hypothesis is no
serial correlation, here, Prob (>Chi-squared Statistic)= 0.0000 suggests a strong rejection of null hypothesis. So,
we conclude the data have first-order autocorrelation.
2. Pesaran's Test for Cross Sectional Independence:
Pesaran CD (cross-sectional dependence) test is used to test whether the residuals are correlated across
entities as they can lead to bias in tests results. The null hypothesis states that the residuals does not have cross-
sectional dependence. We perform the test and note that Pesaran‟s test statistic is 5.994 and Prob (>Chi-squared
Statistic) is 0.0000. As the null hypothesis is that residuals are not correlated, we reject the null for a Prob(>Chi-
squared Statistic) =0.0000 being lesser than .05. So, the residuals have cross-sectional dependence.
VII. Results And Conclusion
After performing all the pertinent regression diagnostics, we see that the heteroskedasticity-adjusted
fixed-effects model is the most appropriate model to capture the necessary dimensions of our framework.
Ultimately, we note that foreign direct investment (FDI, as a percentage of GDP), Stock Traded-Turnover Ratio
(STTr), Trade (T, as a percentage of GDP) and Gross Savings (GS, as percentage of GDP) are the four most
important determinants of GDP growth as suggested by the panel-data evidence. As possible economic
interpretations, we can say that these four variable greatly facilitate the financial foundations of the emerging
economies through facilitating risk amelioration, acquiring information about investment and allocating
resources, mobilizing savings, facilitating exchange, directing productive financial flow, and, assisting financial
openness. The evidence suggests that the empirical evidence must be acknowledged cautiously. The empirics
may help us uncover the microeconomic foundations of monetary transaction mechanisms in emerging
economies. It can also facilitate our understanding of the dependence of GDP growth on financial developments
in context of developing countries with significant market-economy potentials. It also emphasizes the role of
savings-investment channels within emerging economies.
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Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies: A Panel–Data Approach towards a Nexus

  • 1. IOSR Journal of Economics and Finance (IOSR-JEF) e-ISSN: 2321-5933, p-ISSN: 2321-5925.Volume 6, Issue 2. Ver. III (Mar.-Apr. 2015), PP 65-70 www.iosrjournals.org DOI: 10.9790/5933-06236570 www.iosrjournals.org 65 | Page Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies: A Panel–Data Approach towards a Nexus Safaeduzzaman Khan Department of Economics, School of Business and Economics, United International University, Dhaka, Bangladesh Abstract: In this paper, we try to uncover the economic foundations of financial sector development and its impacts on accelerating economic growth in the given context of emerging economies. We theorize and empirically test a causally-motivated relationship among economic growth and related key financial sector variables pertinent to this problem. We accomplish this by analyzing a 20 year panel-data constructed for 30 countries falling within the categorization of an ‘emerging economy’. We estimate the appropriate statistical models along with related diagnostic tests. Finally, we comment on the strengths and weaknesses of our approach and we try to explicate the economic rationale and justification for our formulation and the evidences that follow. Keywords: Economic Growth, Financial Development, Emerging Economies, Panel Data I. Introduction Economists hold startlingly dissimilar opinions regarding the significance of the financial system for economic growth. Walter Bagehot (1873) and John Hicks (1969) dispute that it played a critical role in igniting industrialization in England by facilitating the mobilization of capital for "massive works." Joseph Schumpeter (1912) challenges that well-functioning banks spur technological innovation by identifying and funding those entrepreneurs with the best possibilities of comprehensively implementing innovative products and production processes. Contrary to that, Joan Robinson (1952, p. 86) asserts that "where enterprise leads finance follows." According to this view, economic development entails demands for particular types of financial arrangements, and the financial system channels automatically to these demands. Moreover, some economists just do not trust that the finance-growth relationship is imperative. Robert Lucas (1988, p. 6) asserts that economists "badly over-stress" the role of financial factors in economic growth, while development economists in emerging economies frequently express their skepticism about the role of the financial system by ignoring it. In light of these conflicting views, this paper uses present theories to systematize an analytical framework of the finance- growth nexus and then assesses the quantitative importance of the financial system in economic growth. Although conclusions must be stated cautiously and with sufficient qualifications for optimisms, the preponderance of theoretical reasoning and empirical evidence induces a positive, first order relationship between financial development and economic growth. We specifically tackle the issues of „emerging economies‟ having „emerging markets‟ due to two specific reasons. The first is that, in thinking about developing-country macroeconomic issues, it is often necessary to modify the conceptual frameworks that are generally available in research published keeping industrial countries in mind. All macroeconomic models are built upon stylized descriptions of the environment in which economic agents interrelate and interact, and this environment often diverges in important ways in emerging economies from that in industrial countries. The second reason is possibly more important. It is that, in particular because of the “emergent” nature of these economies, the most significant policy issues that economists and policymakers in developing countries face are often quite different from those that typically occupy center stage in industrial-country setting. II. Literature Review Although a burgeoning empirical literature suggests that well-functioning financial system accelerate economic growth, these studies generally do not simultaneously examine stock market and other monetary transmission mechanisms in context of development. King and Levine (1993a,b) illustrate that bank development – as computed by the total liquid liabilities of financial intermediaries (e.g., M3) divided by Gross Domestic Product (GDP) helps explain economic growth. Levine (1998, 1999) and Levine, Loayza, and Beck (2000) substantiate this finding but advance upon King and Levine (1993a,b) by (1) using measures of bank development that comprise only credit to private firms and therefore eliminate credit to the public sector and by (2) using instrumental variable procedures to control for simultaneity bias. This literature, however, omits
  • 2. Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies… DOI: 10.9790/5933-06236570 www.iosrjournals.org 66 | Page measures of transaction mechanism development because measures of specification problems. Further, while theory motivates the potential relationship between economic growth and the simultaneous level of financial development, Levine and Zervos (1998) use primary values of stock market and bank development. While recent work has endeavored to solve some of the statistical deficiencies in the Levine and Zervos (1998) study, statistical and conceptual problems persist. Arestis, Demetriades and Luintel (2000) use quarterly data and apply time series methods to five developed economies and show that while both banking sector and stock market development explain subsequent growth, the effect of banking sector development is substantially larger than that of stock market development. Rousseau and Wachtel (2000) make a vital input to the literature by using panel techniques with annual data to evaluate the relationship between stock markets, banks, and growth. They use M3/GDP to measure bank development and the Levine and Zervos (1998) measures of stock market size and activity. Rousseau and Wachtel (2000) use the difference panel estimator. But all of the studies focus predominantly on developed economies. Researchers have not undertaken the systematic study of emerging economies yet. III. Variables And Model Specification We divide the financial system into three schemas: micro variables, intermediate variables and macro variables. Each of these schemes of variables groups itself according to its generic functionalities. Seemingly, micro variables tend to capture the „credit and stock‟ part of financial system. Intermediate variables perform the „channeling‟ function of the system, whereas macro variables measure the „aggregate‟ and ultimate impact of economic interactions. In our panel-data model, we let GDP growth (annual %), represented in the model as [GDPg], to be the dependent variable. Hence, the list of pertinent independent variables is as follows: 1. Real interest rate (%) [R] 2. Domestic credit provided by banking sector (% of GDP) [DCBank] 3. Domestic credit to private sector (% of GDP) [DCPvt] 4. Foreign direct investment, net inflows (% of GDP) [FDI] 5. Broad money growth (annual %) [BMg] 6. Stocks traded, turnover ratio (%) [STTr] 7. Trade (% of GDP) [T] 8. Market capitalization of listed companies (% of GDP) [MktCLC] 9. Gross capital formation (annual % growth) [GCK] 10. Gross savings (% of GDP) [GS] Ultimately, the empirical model to be regressed is formulated as 𝐆𝐃𝐏𝐠𝐢𝐭 = 𝛃 𝟎 + 𝛃 𝟏 𝐑 𝐢𝐭 + 𝛃 𝟐 𝐃𝐂𝐁𝐚𝐧𝐤𝐢𝐭 + 𝛃 𝟑 𝐃𝐂𝐏𝐯𝐭𝐢𝐭 + 𝛃 𝟒 𝐅𝐃𝐈𝐢𝐭 + 𝛃 𝟓 𝐁𝐌𝐠 𝐢𝐭 + 𝛃 𝟔 𝐒𝐓𝐓𝐫𝐢𝐭 + 𝛃 𝟕 𝐓𝐢𝐭 + 𝛃 𝟖 𝐌𝐤𝐭𝐂𝐋𝐂𝐢𝐭 + 𝛃 𝟗 𝐆𝐂𝐊 𝐢𝐭 + 𝛃 𝟏𝟎 𝐆𝐒𝐢𝐭 + 𝐮𝐢𝐭 Here, the subscripts „i‟ stands for the panel variable and „t‟ stands for the time variable. IV. Data Collection And Data Sources As per the terming of „emerging economies‟ is concerned for developing countries with a strong market potential, we use the classification suggested by Goldman Sachs Investment Bank to fulfill the additional criteria of macroeconomic stability, political maturity, openness of trade and investment policies, and the quality of education. Hence, we construct our sample with all the countries belonging to the „G-20‟ developing countries, the „Next Eleven‟ countries and the „BRICS‟ economies. Thus, we retain a sample of 30 countries. We set the time period ranging from 1991 to 2010. Ultimately, we have the exhaustive and comprehensive panel-data for 30 developing countries, each with a 20 years‟ time period, culminating into 600 observations. We extract all the data from the „World Development Indicators- 2012‟ sources downloaded from the World Bank Website. We use the „Stata‟ econometric software for all of our calculations and estimations. V. Model Estimations And Data Analysis 1. Fixed-Effects Regression Model: We use fixed-effects (FE) whenever we are only interested in analyzing the impact of variables that vary over time. As it explores the relationship between explained and explanatory variables within an entity, each entity is assumed to have its own individual characteristics that may or may not influence the explanatory variables. We estimate the fixed-effects regression as follows:
  • 3. Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies… DOI: 10.9790/5933-06236570 www.iosrjournals.org 67 | Page Dependent Variable: GDPg Variables Coefficients Standard Error T-Statistic P-Value R -.0272779 .004344 -6.28 0.000 DCBank -.0846366 .0142968 -5.92 0.000 DCPvt .048861 .0158309 3.09 0.002 FDI .0425632 .0676509 0.63 0.530 BMg .0013025 .007886 1.65 0.099 STTr .0005864 .0025602 0.23 0.822 T .017933 .0092052 1.95 0.052 MktCLC .0146168 .0039961 3.66 0.000 GCK .1622208 .0077012 21.06 0.000 GS .0262967 .0241351 1.09 0.276 Constant 3.865992 .707186 5.47 0.000 R-squared (overall): 0.4422, Rho: 0.37831972, F-Statistic (10, 560): 70.77, Prob (F-Statistic): 0.0000 We see here, GDPg is negatively related to the variables R and DCBank, of which not a single one is statistically significant; also GDPg is positively related to all other variables in question. By judging the p- values, the variables FDI, T and STTr are statistically significant, whereas GCF is statistically strongly significant as suggested by t-values and still practically significant by p-value. All other variables are not statistically significant as suggested by p-value. The value of rho suggests that 37.83% of the variance is due to difference across panels. F-test suggests strong joint statistical significance in this fixed-effects setting. We also compute heteroskedasticity-adjusted coefficients for this model later on as suggested by statistical inquiries. 2. Random-Effects GLS (Generalized Least Square) Model: In the random-effects (RE) model, the variation across entities is expected to be random and uncorrelated with the predictor or independent variables included in the model. The principal difference between fixed and random effects is whether the overlooked individual effect represents elements that are correlated with the regressors in the model. As our formulation permits, we estimate the random-effects GLS regression as follows: Dependent Variable: GDPg Variables Coefficients Standard Error Z-Statistic P-Value R -.0266909 .0040492 -6.59 0.000 DCBank -.0536369 .0119721 -4.48 0.000 DCPvt .0427272 .0137091 3.12 0.002 FDI .0815038 .0636519 1.28 0.200 BMg .0005622 .0007623 0.74 0.461 STTr .0029296 .0022894 1.28 0.201 T -.0002247 .0061107 -0.04 0.971 MktCLC .0096576 .0036567 2.64 0.008 GCK .165643 .0077263 21.44 0.000 GS .0493951 .0192563 2.57 0.010 Constant 3.0177 .5574642 5.41 0.000 R-squared (overall): 0.5385, Rho: 0.14126239, Wald Chi-sqaured Statistic: 707.84, Prob (Chi-sqaured Statistic): 0.0000 In this random-effects model, we see, GDPg is negatively related to the variables R, DCBank and T, where neither is statistically significant; GDPg is positively related to all other variables in question. By judging the p-values, the variables FDI, BMg, STTr and T are statistically significant, whereas all other variables are not statistically significant as suggested by p-value. The Value of rho suggests that 14.12% of the variance is due to difference across panels. F-test suggests strong joint statistical significance in this random-effects setting. We also compute heteroskedasticity-adjusted coefficients for this model. But we notice, due to huge Wald chi- square values as compared to table-values, the whole random-effects formulation can be called into question. We can further demonstrate the acceptability of models by Hausman Test. 3. Hausman Test: If the error terms are correlated then Fixed-Effects (FE) model is not appropriate since inferences may not be correct. Then we need to model that relationship by using Random-Effects (RE) model. This is the main rationale for the Hausman test as it presents a criterion of choosing Fixed Effects (FE) or Random Effects (RE) models one over another. We perform the Hausman test as follows:
  • 4. Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies… DOI: 10.9790/5933-06236570 www.iosrjournals.org 68 | Page Dependent Variable: GDPg Variables Coefficients (Fixed) Coefficients (Random) Difference Standard Error R -.0272779 -.0266909 -.000587 0.0015728 DCBank -.0846366 -.0536369 -.0309998 0.0078146 DCPvt .048861 .0427272 .0061338 0.0079168 FDI .0425632 .0815038 -.0389406 0.0229146 BMg .0013025 .0005622 .0007404 0.000202 STTr .0005864 .0029296 -.0023522 0.001146 T .017933 -.0002247 .0181577 0.0068845 MktCLC .0146168 .0096576 .0049592 0.0016115 GCK .1622208 .165643 -.0034221 - GS .0262967 .0493951 -.0230984 0.0145498 Constant 3.865992 3.0177 .8482911 0.4351388 Chi-squared Statistic: 36.59, Prob (Chi-squared Statistic): 0.0001 We see the Prob (>Chi-squared Statistic) = .0001 is less than permitted band of .05. So, we can strongly reject the null hypothesis and state that unique errors are not correlated with regressors. So, fixed-effects is the appropriate model. Bruesch-Pagan Lagrangian Multiplier Test for Random Effects can explicate this issue further. 4. Bruesch-Pagan Lagrangian Multiplier Test: The LM test helps us decide between a random effects regression and a simple OLS regression. The null hypothesis in the LM test is that variances across entities are zero. That is, no significant difference across units. We perform the test as follows: Dependent Variable: GDPg Terms Variance Standard Deviation GDPg 18.67191 4.3211 e 6.944371 2.635217 u 1.142349 1.068807 Var(u)= 0, Chi-squared: 81.44, Prob(Chi-squared): 0.0000 Here, Prob (>Chi-squared Statistic)=0.0000 is less than .05. So, we can strongly reject the null hypothesis and say that there exist non-zero variances across entities. So, in this case, OLS will definitely lead to erroneous results. 5. Modified Wald Test in Fixed-Effects Regression: We perform the modified Wald-test to detect group-wise heteroskedasticy in the Fixed-Effects Regression model. The null hypothesis is that there exists equal variances across identities, We perform the test and note that the Chi-squared Statistic (30) is 1356.42 and Prob (>Chi-squared Statistic) is 0.0000. Hence, Prob (>Chi-squared Statistic) =0.0000 suggests a strong rejection of null hypothesis. So, there exist unequal variances across identities. To aid this problem we construct a robust formulation of FE regression model. Dependent Variable: GDPg Variables Coefficients Robust Standard Error T-Statistic P-Value R -.0272779 .0031181 -8.75 0.000 DCBank -.0846366 .0266777 -3.17 0.004 DCPvt .048861 .0203815 2.40 0.023 FDI .0425632 .0790975 0.54 0.595 BMg .0013025 .0006286 2.07 0.040 STTr .0005864 .0025145 0.23 0.820 T .017933 .016447 1.09 0.285 MktCLC .0146168 .0038581 3.79 0.001 GCK .1622208 .0158319 10.25 0.000 GS .0262967 .0290598 0.90 0.373 Constant 3.865992 1.065071 3.63 0.001 R-squared (overall): 0.4422, Rho: 0.37831972, F-Statistic (10, 29): 50.96, Prob (F-Statistic): 0.0000 Like the previous Fixed-effects model, here also FDI, STTr, T are all strongly statistically significant. It is interesting to note that GCF is no more statistically significant but GS is strongly statistically significant in reference to p-values. So, FDI, STTR, T and GS are the statistically significant variables with positively-signed coefficients. No other variable is statistically significant in the model.
  • 5. Foundations of Financial Sector Mechanisms and Economic Growth in Emerging Economies… DOI: 10.9790/5933-06236570 www.iosrjournals.org 69 | Page VI. Further Diagnostic Tests And Measures For Accuracy 1. Wooldridge Test for Serial Autocorrelation: We apply Wooldridge test, a test for identifying serial correlation as our data set constitutes a macro- panel with long time series. Serial correlation causes the standard errors of the coefficients to be smaller than they actually are. The null hypothesis states that there are no first-order autocorrelation. We perform the test and note that F-Statistic (1, 29) is 31.102 and Prob (>Chi-squared Statistic) is 0.0000. As the null hypothesis is no serial correlation, here, Prob (>Chi-squared Statistic)= 0.0000 suggests a strong rejection of null hypothesis. So, we conclude the data have first-order autocorrelation. 2. Pesaran's Test for Cross Sectional Independence: Pesaran CD (cross-sectional dependence) test is used to test whether the residuals are correlated across entities as they can lead to bias in tests results. The null hypothesis states that the residuals does not have cross- sectional dependence. We perform the test and note that Pesaran‟s test statistic is 5.994 and Prob (>Chi-squared Statistic) is 0.0000. As the null hypothesis is that residuals are not correlated, we reject the null for a Prob(>Chi- squared Statistic) =0.0000 being lesser than .05. So, the residuals have cross-sectional dependence. VII. Results And Conclusion After performing all the pertinent regression diagnostics, we see that the heteroskedasticity-adjusted fixed-effects model is the most appropriate model to capture the necessary dimensions of our framework. 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