Financial Inclusion and Economic Development: An Analysis under the Brazilian Context

This paper investigates whether financial inclusion contributes to economic development in Brazil. The research was developed through descriptive statistical analysis, in addition to statistical regression and correlation, using secondary data collected from the Central Bank of Brazil (BACEN), United Nations Development Program (UNDP), and International Monetary Fund (IMF). The study period of the project comprised the years 2004 to 2017. As a result of the work, we found that there is a positive statistical correlation between financial inclusion and economic development in Brazil, demonstrated in the Pearson correlation matrix, indicated by the dependent variable of human development (HDI) and the independent variables, used as a proxy for financial inclusion, the number of bank branches and the currency liquidity index in Brazil. The values found were 0.899 and 0.938 respectively. Thus demonstrating that financial inclusion is an important drive for economic development, promoted through the access, use and quality of formal financial systems, and contributes to economic development in Brazil.


Theoretical Economics Letters
In 2016, 22% of global income was received by 1% of higher-income individuals, compared with 10% of world income received by 50% of lower-income individuals. These growing disparities require strong policies to empower low-income people and promote economic inclusion for all, regardless of gender, race or ethnicity (UNDP, 2020).
In Brazil, in 2017, only 1% of the Brazilian population, who have a formal bank account, used their cell phone to access the website of their banking institution and perform a money transfer, according to Demirgüç-Kunt (2017), even the country has almost 80% of its population in possession of a bank account at a financial institution. One of the biggest success cases in the use of financial operation via cell phone is M-Pesa, which was launched in the African country of Kenya, in 2007 and operated by the company Vodafone, which allowed access to the formal financial system for more than 15 million people; expanding to other countries such as Egypt, India, Romania and Tanzania (Rojas-Suarez & Amado, 2015).
Relatively new topic in the country, being inserted in the BACEN agenda from 2011, the present study seeks to enrich the current research literature through qualitative and quantitative analysis, as an exploratory study, analyzing the relationship of statistical significance between the economic development and financial inclusion.

Financial Inclusion
According to Ozili (2020), the financial inclusion movement started in the 1980s, after Robert Ayres made severe criticisms of the World Bank, in his book Banking on the poor: The World Bank and world poverty, where he argues that the tactics developed by the Bank World made the rich even richer and inequality increased.
According to the IBGE, in a statistical report released in 2018, the country has a population of about 209,469 million inhabitants and a demo figure density of around 24.4 inhabitants per km 2 . Large population and territories signal enormous challenges for the federal government, especially with regard to government support and infrastructure, aiming to adequately provide: education, health, employment, income and development.
This new definition by BACEN (2020) indicates financial citizenship as the exercise of rights and duties that allows citizens to manage their financial resources well. As a highlight of this new vision of financial inclusion, BACEN provides important numbers regarding financial inclusion in Brazil, such as service points, which demonstrates that out of every 05 municipalities, 02 still do not have at least one physical service point, which translates into a bank branch -a self-service terminal (ATM), a POS or a bank correspondent, with a downward trend. It thus demonstrates that in 2328 cities, the population still needs to move to another municipality to be able to carry out banking operations, such as withdrawals and bank loans. Thus, for the advent of this research project, its concept in a broader sense will be considered as financial inclusion, which includes not only access to a financial account at an institution, but also includes the use of services and products offered by the institutions banking.

Benefits of Financial Inclusion
According to Ozili (2020), financial inclusion through account ownership in a formal financial institution can be used for multiple purposes and offers many benefits to individuals, companies and the economy. The importance of financial inclusion and its diffusion across the globe revolves around the benefits achieved through the inclusion of the excluded poor population in the formal University's Sutton and Jenkins initiative, financial services fundamentally benefit economic growth and development (Bisht & Mishra, 2016).

Barriers to Financial Inclusion
Those excluded from formal financial systems can be classified into two groups of individuals that are those who are involuntarily excluded and those who prefer to be excluded from the financial system (Reports Abel, 2018, according to Allen et al., 2016).

Innovation and Financial Inclusion
In the year 2010, The G20 prepared a guide with policy and regulatory guidelines to encourage innovation within the financial industry, aiming to improve financial inclusion, by reducing costs and facilitating the transposition of barriers, which make it difficult to increase financial inclusion around the world.
According to the G20 report, the result of the final report of the summit held in 2011, it lists nine basic principles that countries must follow in order to achieve In appendix III of this work, the nine principles are listed in detail.
In the view of the authors, Yawe and Prabhu (2015), innovation in the financial area is one of the greatest existing drivers for financial inclusion, especially with regard to savings, means of payments, financial education and internet banking systems.

Financial Inclusion Indicators
The insertion of the population formally excluded from the financial system has become an important goal for countries on all continents. In light of this, academia and social organizations become.
It is vital to measure and seek an understanding of how to improve the financial inclusion of countries and the population, in order to establish a comparison between nations and to determine the appropriate public policies for each region and/or country.

1) If the individual has a bank account at an institution formal financial;
2) If the individual saves or saves money in this institution and; 3) If the customer has carried out a formal credit operation (Demirgüç-Kunt, 2017).
The survey assesses the data over a period of twelve months, at each survey.
Due to its extension and capillarity, this questionnaire has become an important tool to support research and help measure government policies and actions worldwide. A list of questions applied in the questionnaire will be available in ANNEX I of this work.

Economic Development and Financial Inclusion in Brazil
According to the IBGE, in a statistical report released in 2018, the country has a population of about 209,469 million inhabitants and a population density of around 24.4 inhabitants per km Z. Large population and territories signal enormous challenges for the federal government, especially with regard to government support and infrastructure, aiming to adequately provide: education, health, employment, income and development.
This new definition by BACEN (2020) indicates financial citizenship as the exercise of rights and duties that allows citizens to manage their financial re- not have at least one physical service point, which translates as a bank branch -a self-service terminal (ATM), a POS or a banking correspondent, with a downward trend. It thus demonstrates that in 2,328 cities, the population still needs to move to another municipality to be able to carry out banking operations, such as withdrawals and bank loans.
Observing financial inclusion on the demand side, authors Jukan and Softić (2016) teach that it can be measured in each country according to the following requirements: 1) Formal possession of a bank account; 2) Formal savings at a financial institution; 3) Formal loans; 4) Credit card use; 5) Use for sending or receiving via the internet or mobile account.
In the view of BACEN, released by the RCF (2018), the percentage of the population covered by banks is 86.5%. This difference is due to considering active and inactive accounts in its report, while FINDEX considers the use of the account in the last 12 months of the survey. A good part of these bank accounts participates in the "Bolsa Família" program, instituted by the federal government, as social income for the needy population (Table 2).
Checking the situation of financial inclusion on the supply side, that is, according to the numbers provided by financial institutions, the two indicators widely used by academia refer to the number of ATMs available, in addition to the number of bank branches. According to Aro-Gordon (2017) (2018), there is only developed when the benefits of growth serve to expand human capabilities.
In the last measurement carried out in 2018 (Table 5), Brazil was ranked 79 th in the world ranking, showing little evolution in the HDI compared to developed countries and indicating that there is still a long way to go, in a country with superlative numbers population and territorial area (Shown in Figure 1, the evolution of the HDI in Brazil, according to the numbers in Table 6).

Banking System in Brazil
Important to guarantee economic development, the stability of the financial system is a premise for financial inclusion to gain strength in the economy. According to Paula, Oreiro and Basílio (2013), the Brazilian banking sector is the largest and most complex in Latin America, mainly due to the Brazilian SBP payment system, which integrates all financial institutions with the BACEN in carrying out transfer operations between individuals or legal entities, ensuring low risk and stability.  Source: Prepared by the authors with data of the World Bank.

The Banking System and Inclusion Financial
According to previous surveys carried out around the world, the financial system has a fundamental role in the development of financial inclusion, acting as a determining factor in this regard.
With regard to the supply of credit and deposits, the analysis was carried out with Brazilian data, which indicates a greater availability of credit for the econ-

Research Methodology-Procedure and Data Analysis
This research seeks to investigate the relationship between financial inclusion and economic development in Brazil, through statistical correlation and its causal relationship. Currently, there are not many studies dealing with the relationship of this theme in Brazil, and our research should contribute to the current bases in an original way, expanding the scientific knowledge base, as taught by Kothari (2004).
For the independent variables, we select six variables as a proxy for financial inclusion, according to a study by Van and Linh (2019)

Data Collection Procedure
For the research project, the procedure was carried out through the collection of indicating the detailed description of each one of them is listed in Table 6.
As an independent variable to estimate the relationship between economic development and financial inclusion, chosen as a basis for academic studies, the human development index (HDI), as a proxy, as already listed in this project.

Linear Correlation Analysis
The linear correlation analysis is performed using the Pearson correlation coefficient  (2014), whose analysis is used to measure the relationship between two quantitative variables, having the numerical value of calculation between −1 and +1, being dimensionless.
In Table 5, it was verified that the correlation of each independent variable and its degree of relationship with the dependent variable (HDI), with emphasis on the variables of credit to the private sector and large currency, with a significant factor between 0.9389 and 0.9402, in that order.  Table 7.
In this model, the dependent variable Y is, hypothetically, a function of m independent variables of X 1 , X 2 , ..., X m , (Mcguigan, Moyer, & Harris, 2016), presented in the form: The variables involved are listed. Next: Y = the dependent variable, used as the development index (economic development), collected from the UNDP database; X = independent variable that indicates financial inclusion, determined by various indicators, from the world bank and the IMF; X 1 = represented by the number of ATMs and ATMs (per 100,000 adults); X 2 = this variable represented by the total number of bank accounts (per 1000 adults). X 3 = variable represented by the total number of bank branches (per 100,000 adults). X 4 = variable represented by the amount of credit made to the private sector; Although it can be performed using matrix algebra, to estimate the alpha and beta coefficients, in order to facilitate the calculations, in the present study the computer software Excel and PAST4 were used. 0. Table 8 shows the summary of independent variables and dependent variables, indicating the frequency of analysis and the source.

Analysis in Relationship Inclusion Financial Development
To validate the relationship between financial inclusion and economic development, as a research object, a statistical relationship analysis was performed in terms of 01 null hypothesis, guided by academic studies already developed, in emerging economy countries, in the African continent and in Asia.
The model has significance and financial inclusion contributes to economic development in Brazil.

Pearson Correlations and Regression Analyzes Multiple Linear
As seen in the Pearson correlation section, the independent variable ATMs presented a moderate degree of correlation, with a value of P = 0.5526. The independent variables bank accounts, bank branches and deposit credit showed a strong correlation with the dependent variable HDI, with the value of P = 0.8992, 0.8262 and 0.8819 being found, in that order. The variables of credit to the private sector and large currency showed a very strong correlation, with P = 0.940246 and P = 0.938894, respectively. In the first regression analysis performed, we found that the RZ = 0.958355, which validates the proposed model. The standard error is 0.006534, which is below 5% of the confidence level proposed in the model. After the first round of regression, we found that the variables of credit in bank deposits and credit to the private sector obtained P values of 62% and 17%. Table 9 shows the result of the regression test: In order to improve data quality, and seeking to identify which independent variables have statistical significance for the proposed model, a new round of regression was performed, removing the two variables that did not indicate a level of significance in the proposed model (credit in bank deposits and credit internal to the private sector).
Again, the RZ was very close to 1, with a value of 0.958229 indicating the relevance of the data and the proposed model, and with a standard error of 0.005771. These numbers validate the quality of the data (Table 10).
Thus, it is proven that in this model, the number of ATM machines and the number of bank accounts in the country, according to the proposed model, have no significance for financial inclusion, and consequently, in the independent variable HDI, thus not affecting economic development (Table 11).

Residual Analysis
Residual analysis is used in order to verify whether the type of statistical model has inadequacies, in addition to validating how well the proposed regression model fits the data used (Montegomery, Peck, & Vinving, 2012: p. 130).   In Figure 2, we can see the independent variable number of bank branches in Brazil, where the normality of the data can be seen, demonstrated by the proximity of the main straight line distributed equidistantly.
In Figure 3, we have the Large Currency variable, also showing the normality of the data, explained by the equidistant distribution of the data on the main axis.
In both Figure Table 12.

Regression Analysis (Anova)
After finding the two independent variables that have significance in the model, we proceeded with the analysis of variance (ANOVA) in order to verify the reliability of these variables in predicting the dependent variable.
where Y corresponds to the economic development index, using the human development index (HDI) proxy, "bank branches" corresponds to the total number This equation demonstrates that the country's economic development is related to financial inclusion, through the proxy number of bank branches and large currency. These two variables are shown in Figure 2, named scatter plot, demonstrating the positive relationship between financial inclusion and economic development in Brazil (Table 13).

Conclusion and Recommendations
From the analysis carried out, Pearson correlation and multiple linear regression, we verified that economic development has a strong relationship with financial inclusion, through the proxy of the number of bank branches and large-currency liquidity in Brazil. The RZ value of the proposed model presented RZ = 0.944040, meaning that 94.40% of the research objective can be explained.
The P value found was 0.0000023, demonstrating the high significance of the model.
The number of bank branches per 100,000 adults and broad currency as a % of GDP has a strong statistical relationship with the economic development proxy (HDI), with a 95% confidence level. Statistically, these variables had a P of 0.00492166 and 0.0001829, respectively.
Confirming the initial objective of the work, to identify the level of relationship between the phenomenon of financial inclusion and economic development, it was concluded that for each 1% increase in the number of bank branches in the country, economic development will increase by around 0 0.00874%, while increasing the monetary liquidity index variable by 1%, the level of economic development will proportionally increase in the order of 0.00144%.
The analysis above shows his new definition by BACEN (2020) indicates fi- translates into a bank branch-a self-service terminal (ATM), a POS or a bank correspondent, with a downward trend. It thus demonstrates that in 2328 cities, the population still needs to move to another municipality to be able to carry out banking operations, such as withdrawals and bank loans.