THE RELATIONSHIP BETWEEN FINANCIAL SECTOR DEVELOPMENT AND ECONOMIC GROWTH IN SOUTH AFRICA By Amahle Gusha 202015934 Mini-Dissertation Submitted in partial fulfilment of the requirements for the degree of Bachelor of Commerce Honours In Economics In the faculty of Management and Commerce At the University Of Fort Hare East London Campus 2023 Supervisor: Dr S Tendengu 1|Page Abstract For decades, South African economy have embarked on financial sector reforms. However, the empirical implications of these reforms have been divergent. This paper investigates the relationship between financial development and economic growth using time series data in South Africa using data extracted from the World Bank and SARB. This investigation will be carried out using three common indicators of financial development broad money, GDP, and domestic credit to the private sector. The co-integration and presence of a long-term relationship between the expansion of South Africa's financial sector and economic growth were determined using the ARDL model. The study's findings suggest that there is a co-integration link. Both short- and long-term research show that although certain conditions hinder economic growth, a big money supply promotes it. This paper thus confirms the existence of a positive and long-term impact of all the indicators of financial development on economic growth through bound test. It is therefore proposed that the financial reforms in South Africa should be pushed forward to boost the development of the financial sector thus an increase in its role on economic growth. Keywords: Financial sector development, economic growth, ARDL cointegration, World Bank, SARB, South Africa. 2|Page Declarations On originality of work I, the undersigned, Amahle Gusha student number 202015934 hereby declare that this mini dissertation is my own original work, and that it has not been submitted, and will not be presented at any other University for a similar or any other degree award. Signature: Date: 02/12/2023 On plagiarism I, Amahle Gusha, student number 202015934 hereby declare that I am fully aware of the University of Fort Hare’s policy on plagiarism, and I have taken every precaution to comply with the regulations. Signature: Date: 02/12/2023 3|Page Acknowledgements First and foremost, I would like to express my sincere gratitude to the almighty God, His dear Son my Lord Jesus Christ, and the Holy Spirit my ever-present helper, for His wonderful deeds which I’ve seen even throughout this dissertation particularly, and in my academic journey. Likewise, I will forever be grateful and thankful to my supervisor, Doctor S Tendengu. Without making any exceptions, I am super thankful to my dear mother who had really been supportive to me in this academic journey, as well as my dear friends and family at large. 4|Page Dedication This mini dissertation is dedicated to my late aunty, Yanga Jacisa, in loving memory of your support and encouragement. You were always there for me, and your words of wisdom and kindness have guided me through many difficult moments. This dissertation is a testament to your lasting impact on my life. 5|Page Table of Contents Abstract ................................................................................................................................................................................. 2 Declarations ........................................................................................................................................................................... 3 Acknowledgements ............................................................................................................................................................... 4 Dedication ............................................................................................................................................................................. 5 Chapter one: Introduction and background of the study ..................................................................................................... 12 1.1 Introduction ................................................................................................................................................................... 12 1.2 Problem statement ................................................................................................................................................... 13 1.3 Research objectives ................................................................................................................................................. 13 1.3.1 Primary objectives .................................................................................................................................................. 13 1.4 Research hypothesis ................................................................................................................................................ 14 1.4.1 Null hypothesis ....................................................................................................................................................... 14 1.4.2 Alternative hypothesis ............................................................................................................................................ 14 1.5 Justification of the study .......................................................................................................................................... 14 1.6 Organization of the study ........................................................................................................................................ 14 1.7 Ethical considerations.................................................................................................................................................... 15 Chapter two: Overview of financial sector development and economic growth in South Africa ....................................... 16 2.1 Introduction ................................................................................................................................................................... 16 2.2 Overview of financial sector development in South Africa........................................................................................... 16 2.2.1 Financial sector reforms ......................................................................................................................................... 16 2.2.2 Comparison with BRICS countries (The BRICS perspective) ............................................................................... 20 2.2.3 Comparison with other Sub-Saharan countries (Kenya and Nigeria, respectively) ............................................... 21 2.3 Overview of the South African economic growth in relation with financial sector development ................................. 23 2.4 Chapter summary........................................................................................................................................................... 26 Chapter three: Theoretical framework and Empirical evidence .......................................................................................... 27 3.1 Introduction ................................................................................................................................................................... 27 3.2 Theoretical literature...................................................................................................................................................... 27 3.2.2 Introduction ............................................................................................................................................................ 27 3.2.3 The Endogenous Growth Theory............................................................................................................................ 27 3.2.4 Institutional Theory ................................................................................................................................................ 30 3.2.5 Resource-Dependent Theory .................................................................................................................................. 32 3.3 Empirical literature ........................................................................................................................................................ 33 6|Page 3.3.1 Empirical literature from developed countries ....................................................................................................... 33 3.3.2 Empirical literature from developing countries ...................................................................................................... 34 3.3.3 Empirical literature from South Africa ................................................................................................................... 36 3.4 Assessment of literature ................................................................................................................................................. 37 3.5 Chapter summary........................................................................................................................................................... 38 Chapter four: Research Methodology.................................................................................................................................. 39 4.1 Introduction ................................................................................................................................................................... 39 4.2 Model specification ....................................................................................................................................................... 39 4.3 Definitions of variables and prior expectations ....................................................................................................... 40 4.4 Estimation technique ............................................................................................................................................... 41 4.4.1 Unit root Tests ........................................................................................................................................................ 41 4.4.2 Augmented Dickey-Fuller Test and Phillips-Perron Test ....................................................................................... 41 4.4.3 Co-integration tests................................................................................................................................................. 42 4.4.5 Autoregressive distributed lag (ARDL) model ....................................................................................................... 42 4.4 Diagnostic Tests....................................................................................................................................................... 42 4.5.1 Residual Normality test .......................................................................................................................................... 42 4.5.2 Autocorrelation LM test ......................................................................................................................................... 43 4.5.3 The Heteroscedasticity test ..................................................................................................................................... 43 4.5.4 Impulse response .................................................................................................................................................... 43 4.5.5 Variance decomposition .......................................................................................................................................... 43 4.5 Data sources............................................................................................................................................................. 43 4.7 Chapter summary........................................................................................................................................................... 43 Chapter five: Estimation and interpretation of results ......................................................................................................... 44 5.1 Introduction ................................................................................................................................................................... 44 5.2 Descriptive statistics ...................................................................................................................................................... 44 5.4 Stationarity testing ......................................................................................................................................................... 45 5.5 Unit root test .................................................................................................................................................................. 47 5.6 Model selection and ARDL Co-integration Test ........................................................................................................... 48 5.6.1 Bound test ............................................................................................................................................................... 48 5.6.2 Long run model ...................................................................................................................................................... 49 5.6.3 ECM Model ............................................................................................................................................................ 50 5.7 Diagnostic tests.............................................................................................................................................................. 51 7|Page Conclusion ........................................................................................................................................................................... 53 Chapter six: Conclusion and recommendations .................................................................................................................. 53 6.1 Introduction ................................................................................................................................................................... 53 6.2 Summary of the study and conclusions ......................................................................................................................... 54 6.3 Policy implications and recommendations .................................................................................................................... 55 6.4 Delimitation of study ..................................................................................................................................................... 56 Reference list ....................................................................................................................................................................... 56 Appendices .......................................................................................................................................................................... 61 8|Page List of Figures FIGURE 2.1. TREND IN BANKING SECTOR GROWTH IN SOUTH AFRICA (2000 - 2012) ........................................... 17 FIGURE 2.2 TRENDS IN STOCK MARKET CAPITALIZATION, TOTAL VALUE OF STOCKS TRADED AND TURNOVER RATIO OF STOCKS TRADED IN SOUTH AFRICA (2000 – 2010) ........................................................................ 18 FIGURE 2.3 THE RATIO OF M1 TO DEPOSITS IN SOUTH AFRICA ............................................................................ 18 FIGURE 2.4 PRIVATE CREDIT TO GDP IN BRICS COUNTRIES FROM 2001 – 2020 .................................................... 20 FIGURE 2.5 STOCK MARKET CAPITALIZATION TO GDP FOR BRICS COUNTRIES FROM 2009 - 2020 ....................... 21 FIGURE 2.6 PRIVATE CREDIT BY DEPOSITS FOR THE SELECTED COUNTRIES FROM 2010 - 2020 ........................... 22 FIGURE 2.7 STOCK MARKET TURNOVER RATIO FOR THE SELECTED COUNTRIES FROM 2010 - 2020 .................... 23 FIGURE 2.8 VALUE ADDED TO GDP BY THE FINANCIAL INDUSTRY FROM 2015 – 2022 (IN MILLIONS ZAR) ......... 24 FIGURE 2.9 GDP-ANNUAL (%) FROM 2000 – 2024 ................................................................................................ 25 FIGURE 2.10 SA GDP BY SECTOR CONTRIBUTION 2023 ......................................................................................... 26 FIGURE 5.1 UNIT ROOT TESTS – GRAPHICAL PLOTS (LEVEL SERIES) .................................................................... 46 FIGURE 5.2 UNIT ROOT TESTS – GRAPHICAL PLOTS (1ST DIFFERENCE) ................................................................. 47 FIGURE 5.3 CUSUM TEST ....................................................................................................................................... 52 FIGURE 5.4 CUSUM OF SQUARES TEST .................................................................................................................. 52 List of Tables TABLE 5.1 SUMMARY OF STATISTICS ..................................................................................................................... 44 TABLE 5.2 CORRELATION MATRIX ......................................................................................................................... 45 TABLE 5.3 UNIT ROOT TEST – (LEVEL SERIES)...................................................................................................... 48 TABLE 5.4 UNIT ROOT TEST – (DIFFERENCED) ...................................................................................................... 48 TABLE 5.5: BOUND TEST RESULTS ........................................................................................................................ 49 TABLE 5.6: LONG RUN COINTEGRATION RESULTS ................................................................................................. 49 TABLE 5.7: ECM MODEL RESULTS ........................................................................................................................ 50 TABLE 5.8: DIAGNOSTIC TESTS ............................................................................................................................. 51 TABLE 5.9 Q-STATIC ........................................................................................................................................... 53 9|Page List of Appendices APPENDIX 1: INTEGRATED AT I(0) .......................................................................................................................... 61 APPENDIX 2: INTEGRATED AT I(1) .......................................................................................................................... 62 APPENDIX 3: ARDL COINTEGRATION .................................................................................................................... 63 APPENDIX 4: LONG RUN COEFFICIENTS AND BOUND TEST ...................................................................................... 64 APPENDIX 5: ERROR CORRECTION REGRESSION ..................................................................................................... 65 APPENDIX 6: CUSUM TEST ..................................................................................................................................... 66 APPENDIX 7: CUSUM OF SQUARES ......................................................................................................................... 66 APPENDIX 8: Q-STATS ............................................................................................................................................ 67 APPENDIX 9: AUTOCORRELATION .......................................................................................................................... 68 APPENDIX 10: JARQUE-BERA TEST ........................................................................................................................ 69 APPENDIX 11: BREUSCH-GODFREY SERIAL CORRELATION LM TEST .................................................................... 69 APPENDIX 12: HETEROSKEDASTICITY TEST: ARCH .............................................................................................. 70 APPENDIX 13: RAMSET RESET TEST..................................................................................................................... 71 10 | P a g e List of acronyms and abbreviations ADF Augmented Dickey-Fuller AIC Akaike's Information Criterion ARDL Autoregressive distributed lag DF Dickey-Fuller test GDE Gross Domestic Expenditure GDP Gross Domestic Product HQ Hannan-Quinn information criterion IMF International Monetary Fund JSE Johannesburg Stock Exchange LR Likelihood Ratio test PP Phillips-Perron Test SA South Africa SARB South African Reserve Bank SC Schwarz information criterion Stats SA Statistics South Africa VAR Vector Autoregressive 11 | P a g e Chapter one: Introduction and background of the study 1.1 Introduction Economic growth in South Africa is most efficiently driven by the financial sector. Over 70% of the gross domestic product is generated by the financial sector, which can either stimulate or dampen economic growth (Ncanywa & Mabusela, 2019). When the financial sector is efficient, financial intermediaries can operate effectively by mobilizing financial resources efficiently, managing financial risks, and identifying profitable investments, all of which contribute to economic growth and technological innovation (Jianguo & Qamruzzaman, 2018). In studies (Akinlo & Egbetunde, 2010; Balago, 2014; Ewubare & Ogbuagul, 2017; Tang & Abosedra, 2020; Valderrama, 2003), well-documented literature has shown how the development of the financial sector contributes to long-term economic growth, but the results of these studies were different as others proposed that a well-developed financial system promotes economic growth while others urged that it can be harmful to actual aggregate economic development (Kapingura et al., 2022). According to Qamruzzaman & Jianguo (2018), financial sector development is about adding value to the economy and creating wealth for the agents of the financial system. By mobilizing depositors' savings, a financial system selects investment opportunities for entrepreneurs through credit lines (Oriavwote & Eshenake, 2014a). In developed countries, well-functioning systems promote growth by encouraging entrepreneurship, technological advancement, and rapid human and physical capital accumulation (Oriavwote & Eshenake, 2014a). Increasing transparency, monitoring, and reducing transaction costs are important functions performed by financial intermediaries (Akinlo et al, 2010). Having less information asymmetry can be beneficial to banks and stock markets in maximizing efficiency, limiting risk through portfolio diversification and hedge positions, enhancing liquidity in productive assets, and encouraging trade and exchange (Ndlovu, 2013). There has been extensive research into the link between the development of the financial sector and economic growth, according to Akinlo and Egbetunde (2010), Balago (2014), Muhammad et al. (2014), and Le et al. (2014). As an additional benefit, these studies suggest that reducing transaction costs in the financial sector may increase investment and reduce risk. As an additional benefit, these studies suggest that reducing transaction costs in the financial sector may increase investment and reduce risk (Ndlovu, 2013). South Africa is one of the largest economies in Africa and has undergone significant financial sector development over the years. A major contributor to the country's economic development is the financial sector (Celestine Sunday Ogonna et al., 2020). The sector has grown considerably, with its contribution to GDP increasing from 12 | P a g e 12% in 1994 to 22% in 2019 (World Bank, 2021a). This growth has been accompanied by an expansion in the range of financial services and products offered, including mobile banking, microfinance, and insurance (Celestine Sunday Ogonna et al., 2020). Furthermore, financial sector development has contributed to improving the financial inclusion in South Africa. According to the World Bank, 2021b, the number of bank accounts has grown from 17 million in 2002 to 36.4 million in 2019. 1.2 Problem statement Research and debate have been on-going in South Africa on the relationship between financial sector development and economic growth. It is widely accepted that a well-developed financial sector can promote economic growth, but it is unclear to what extent this relationship exists in South Africa (Mandiefe, 2015). Despite having a relatively well-developed financial system compared to other African countries, South Africa still lags developed countries in terms of financial market sophistication, access to financing and venture capital, and credit availability (Mandiefe, 2015). Several studies have suggested that the South African financial system, although advanced, is highly concentrated and dominated by a few large players, leading to limited access to finance and high borrowing costs for smaller businesses and individuals (Otchere et al., 2017). It may negatively affect the growth of the economy if jobs and economic development are lost as a result. Furthermore, the COVID-19 pandemic has revealed weaknesses in the South African financial sector, particularly in terms of loan disbursements and access to credit for struggling firms, which may impede the country's economic recovery efforts (Otchere et al., 2017). Therefore, this study will examine the relationship between financial sector development and economic growth in South Africa. 1.3 Research objectives 1.3.1 Primary objectives A primary objective of this research is to investigate the relationship between the financial sector development and economic growth in South Africa from 1992 to 2022. We will work on these specific objectives: i. To review the trends of financial development and economic growth in South Africa from 1992 to 2022 ii. To check empirically the relationship between financial sector development and economic growth in South Africa from 1992 to 2022. iii. 13 | P a g e To make policy recommendation based on the findings. 1.4 Research hypothesis 1.4.1 Null hypothesis H0: There is a positive relationship between of financial sector development and economic growth in South Africa. 1.4.2 Alternative hypothesis H1: There is a negative relationship between financial sector development and economic growth in South Africa. 1.5 Justification of the study Financial sector development is believed to enhance resource allocation, increase productivity, and stimulate savings and investment, leading to higher economic growth rates (Rajan and Zingales, 1998; Levine, 2005). Various stakeholders, including the government and private sector, have identified financial sector growth as a key driver of economic growth and development in South Africa (Acaravci, 2009). The country has made significant progress in financial sector development over the years, including expanding the banking system, promoting financial inclusion, and developing a vibrant capital market. However, despite these efforts, South Africa continues to face various challenges in its financial sector, including difficulty to access to finance for SMEs, limited financial literacy, and income inequality The difficulties these problems provide call for a more thorough comprehension of the connections between the development of the financial industry and the growth in the economy. As a result, research on the growth of the financial sector and economic expansion in South Africa is essential for shedding light on the variables influencing financial development and economic expansion. The study's conclusions can be used by decision-makers, financial regulators, and other interested parties to create and carry out programmes and policies that support the expansion of South Africa's financial industry and economic expansion. 1.6 Organization of the study The research will examine methodology, variable analysis, and estimating methodologies to observe the link between the development of the financial sector and economic growth in South Africa. The ARDL Cointegration framework was provided as the estimation methodology for the investigation. The diagnostic tests were then spoken about. The first segment is concluded with more study on variance decomposition analysis and impulse response. The actual estimations of the research are based on the topics covered in this section. The research is introduced in Chapter 1 with an explanation of the challenges, goals, and context of the study as well as its importance. Trends on financial sector developments in South Africa are reviewed in Chapter 2. A thorough review of the theoretical and empirical literature is given in Chapter 3. The study approach, which includes a 14 | P a g e description of the models and data employed, will be the main topic of Chapter 4. The study findings are presented in Chapter 5. The research summary and conclusions are then presented in Chapter 6. 1.7 Ethical considerations In this study, all ethical procedures were followed. The study used widely available secondary data to conduct econometric models. The primary data is obtained from human participants as individuals, members of groups, organization, or the institution through direct interaction or data collection. The secondary data is gathered from reliable, publicly accessible sources including the World Bank and SARB. 15 | P a g e Chapter two: Overview of financial sector development and economic growth in South Africa 2.1 Introduction This chapter gives a thorough analysis and review of the financial sector's evolution and the ways in which it has influenced South Africa's economic expansion. The importance of the financial sector's development in propelling South Africa's economic growth is covered in this chapter. Visual representations created from data gathered over time from the South African Reserve Bank and the World Bank are used to achieve this. An extensive overview of the development and expansion of the financial sector in South Africa is given in the first section. The chapter also includes the expansion of the financial sector in relation to other African states and the BRICS countries. The following section offers a thorough examination of the relationship between economic expansion and financial sector growth. 2.2 Overview of financial sector development in South Africa The largest, most advanced, and most intricate financial system in Africa is found in South Africa. According to the (Bank of International Settlement, 2012b), it may be compared to the financial systems of developed nations. Over the past few decades, South Africa has effectively developed a robust stock market and an advanced banking system. Because of this, the Johannesburg Stock Exchange (2012) lists it as one of the top 20 stock exchanges in the world. The only stock market in South Africa is the Johannesburg Stock market (JSE), which was founded in 1887 and has been a member of the Federation of International Stock Exchanges since 1963. However, in terms of market value, it is one of the world's leading stock exchanges. 2.2.1 Financial sector reforms To satisfy both international standards for modernity and the nation's developmental goals, South Africa started a process of financial sector reform in the 1990s (Nyasha & Odhiambo, 2020). Both the stock market and the banking industry were included in this change. The focus of changes in the banking sector has been on improving the frameworks of law, regulation, justice, and supervision. Additionally, they have sought to lessen financial repression, bring banks back to soundness, renovate the financial system, and launch programmes that encourage new players in the market (BIS, 2012a). Modernising the trading environment and enhancing the industry's judicial, regulatory, legal, and supervisory functions have been the main goals of stock market reforms. 16 | P a g e Figure 2.1. Trend in Banking Sector Growth in South Africa (2000 - 2012) 2012-09-01 2012-01-01 2011-05-01 2010-09-01 2010-01-01 2009-05-01 2008-09-01 2008-01-01 2007-05-01 2006-09-01 2006-01-01 2005-05-01 2004-09-01 2004-01-01 2003-05-01 2002-09-01 2002-01-01 2001-05-01 2000-09-01 90,0 80,0 70,0 60,0 50,0 40,0 30,0 20,0 10,0 0,0 2000-01-01 % GDP Total Credit to Private Financial Sector in South Africa End of Quarter Source: Bank for International Settlements data (2023). These strict changes have eventually resulted in the development of a sophisticated and well-regulated financial sector in South Africa. This is seen by the rise in loans to the private financial sector in the banking sector, which increased from 57.9% of the nation's GDP in 2000 to 72.9% of GDP in 2010. Furthermore, from 22,920 in 2008 to 24,063 in 2010, there were more Automated Teller Machines (ATMs). The banking sector also had a low number of loans that were not being repaid, and there were strong legal protections for banks. These findings were reported by the Banking Association South Africa in 2010 and the World Bank in 2014. 17 | P a g e Figure 2.2 Trends in Stock Market Capitalization, Total Value of Stocks Traded and Turnover Ratio of Stocks % GDP Traded in South Africa (2000 – 2010) 300,00 250,00 200,00 150,00 100,00 50,00 0,00 End of Quarter Stock Market Capitalization to GDP Total Value Traded to GDP Stock Market Turnover Ratio Source: Bank for International Settlements data (2010) Figure 2 illustrates the performance and growth of the South African stock market from 2000 to 2010. It focuses on three key indicators: stock market capitalization, total value of stocks traded, and turnover ratio of stocks exchanged. The changes implemented in the stock market resulted in a growth in the number of listed businesses from 401 in 2006 to 417 in 2010. Additionally, there was a significant increase in stock market capitalization, total value traded, and turnover ratio, as reported by JSE (2014) and the World Bank (2014). Figure 2.3 The ratio of M1 to deposits in South Africa 9 8 7 6 % 5 4 3 2 1 YEARS 18 | P a g e 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 0 Source: IMF – IFS Statistic Compact Disc, 2023 The concept of enhanced financial development in South Africa is substantiated by the M1 to deposits ratio depicted in Figure 3. M1 is utilised in this context as a representative for the utilisation of physical currency (notes and coins) as well as for temporary deposits. The M1 to deposits ratio provides an indication of the proportion of short-term deposits within the overall deposit pool. A reduction in this ratio signifies a higher proportion of long-term deposits. Conversely, when the ratio of M1 to deposits grows over time, it indicates a growing inclination among economic actors towards short-term deposits. Financial systems are primarily valued in the economy for their ability to facilitate trade more effectively than they mobilise savings, and for their role in allocating and channelling resources to economic actors that lack sufficient resources. The analysis of the M1to-deposits ratio in South Africa reveals a consistent decline from 2005 to 2022, in contrast to the levels observed in 2002 and 2003. The elevated M1-to-deposits ratio before to 2002 may be linked to the presence of financial repressive measures, the rising inflation rate, and the unfavourable political climate that lacked sufficient safeguards for savings. However, following 2003, the proportion of short-term or sight deposits in the overall deposits continued to decline. In 2012, the value was 7.6, which is lower than the value of 7.8 in 2004. The decline in the proportion of sight deposits is indicative of enhanced financial development and increasing confidence in the money market. The IMF (2022) has found that the significant market concentration and high entry barriers in South Africa have led to large costs for end-users. The rise in competition within the banking industry, facilitated by the emergence of digital banks, appears to have led to a certain level of price convergence. However, transaction costs continue to remain relatively elevated. Efforts to enhance competition and contestability through the promotion of cooperatives and mutual banks, which are regulated by appropriate legal and regulatory frameworks, have proven effective. However, the total effects of these initiatives have yet to be fully assessed. According to the IMF (2022), open banking reforms and the implementation of a simpler supervisory framework for limited banking firms are seen as measures to promote competition and eventually lower costs, while yet maintaining required protections to preserve financial stability. It is recommended to continue the advancement of the Electronic Trading Platform (ETP) for government bonds, as it has enhanced pricing transparency and the process of determining prices. This will contribute to enhancing market efficiency. The ETP has created a platform that facilitates market creation, leading to higher trading volumes and the development of a more comprehensive yield curve. This, in turn, has contributed to the establishment of a dependable and low-risk price reference for non-government bonds (IMF, 2022). 19 | P a g e 2.2.2 Comparison with BRICS countries (The BRICS perspective) Figure 2.4 Private credit to GDP in BRICS countries from 2001 – 2020 Private Credit to GDP 200,00 % 150,00 Russia 100,00 Brazil 50,00 South Africa 0,00 China India Years Source: World Bank, 2023 The private credit to GDP ratio serves as a proxy measure for financial depth, representing the size of the financial sector in relation to the overall economy. Financial depth refers to the aggregate size of banks, financial institutions, and financial markets inside a country, which is then compared to a measure of economic output (World Bank, 2012). The variable has exhibited a consistent upward trend since 2001, as seen by the data presented in figure 4. This serves as a clear sign of the growth and progress in the banking sector of the BRICS countries. The ratio of commercial bank assets to the combined assets of deposit money banks and central banks has grown over those years, indicating a correlation with financial development and economic growth. The financial system of China ranks in the top 25% in terms of this indicator, with a value of 182% in 2020. South Africa follows with 120%, Brazil with 78%, and India and Russia have the lowest values at 55%. 20 | P a g e Figure 2.5 Stock Market Capitalization to GDP for BRICS countries from 2009 - 2020 % Stock Market Capitalization to GDP 400,00 300,00 200,00 100,00 0,00 Years Brazil India South Africa China Russia Source: World Bank, 2023 Stock market capitalization is a useful indicator for comparing and evaluating the size and activity of stock markets in different countries (World Bank, 2012). The market capitalization of every company listed on the stock exchange is calculated by multiplying the share price by the total number of shares issued. Comparing South Africa to other comparable emerging countries, the country's market capitalization as a proportion of GDP is at least twice as high. Figure 5 offers more proof that most emerging economies had notable downturns in the 2008 global financial crisis. Compared to other similar developing economies, the graph shows that the stock market in South Africa is more volatile. The BRICS countries possess some of the world's most significant stock markets, as measured by stock market capitalization. According to Figure 5, South Africa has the highest stock market capitalization at 348%, followed by India at 98%, China at 82%, Brazil at 68%, and Russia at 46%. 2.2.3 Comparison with other Sub-Saharan countries (Kenya and Nigeria, respectively) The bank-dominated financial sectors are at a developing stage in the majority of SSA countries. Over the past ten years, the depth and scope of financial systems have steadily increased but are still at a low level thanks to reform initiatives (Nikolaidou & Vogiazas, 2019). EIB (2013) emphasises that although access to financial services is relatively limited, the region's level of financial intermediation is still much lower than that of other emerging nations. The 2008 global financial crisis did not have a significant impact on African banking institutions since these systems typically have sufficient capitalization, little leverage, surplus liquidity, and little reliance on outside funding. However, due to trade connections and exchange rate depreciations, the banking systems of the majority 21 | P a g e of SSA nations were indirectly impacted by the crisis. This increased the borrowers' financial difficulties and led to a rise in non-performing loans (Nikolaidou & Vogiazas, 2019). Figure 2.6 Private credit by deposits for the selected countries from 2010 - 2020 % Private Credit by Deposits 80,00 70,00 60,00 50,00 40,00 30,00 20,00 10,00 0,00 Years KENYA SOUTH AFRICA NIGERIA Source: World Bank, 2023 Compared to other African countries, South Africa possesses a very advanced financial industry (Acaravci & Ozturk, 2020). A private credit to deposits ratio of 69.28% as seen in figure 6 signifies that a substantial proportion of the deposits inside the banking system is allocated to private sector credit. This implies a resilient financial system that can effectively facilitate economic endeavours. Kenya's financial industry has demonstrated remarkable durability and ingenuity, particularly via the triumph of mobile banking, which has resulted in a private credit by deposit ratio of 32.71%. Nigeria's financial industry needs to undergo changes to improve stability, since it currently has a low private credit by deposits ratio of 11.23%. An increase in the domestic credit extended by the banking sector or the domestic credit allocated to the private sector will stimulate per capita economic development in sub-Saharan African nations. According to Acaravci and Ozturk (2020), to promote economic development, governments should liberalise both their economy and their banking sector due to the beneficial relationship between domestic credit provided by banks and economic growth. 22 | P a g e Figure 2.7 Stock market turnover ratio for the selected countries from 2010 - 2020 % Stock Market Turnover Ratio 45,00 40,00 35,00 30,00 25,00 20,00 15,00 10,00 5,00 0,00 Years NIGERIA SOUTH AFRICA KENYA Source: World Bank, 2023 Analysing financial development based on the stock market turnover ratio indicator entails evaluating the effectiveness and degree of activity in the stock markets of South Africa, Kenya, and Nigeria. The stock market turnover ratio is determined by dividing the aggregate value of shares exchanged over a specific time by the mean market capitalization for that same period. South Africa boasts a well-regulated primary stock exchange, known as the JSE, which is one of the major stock exchanges globally in terms of market capitalization. In 2020, the JSE achieved a high turnover ratio of 27.94%, indicating robust investor engagement and liquidity within the market. Kenya, with the Nairobi Securities market as its primary stock market, has a turnover ratio of 2.26%, which is lower compared to the chosen countries. The turnover ratio of the Nigerian Stock Exchange was 4.39%, indicating a superior performance compared to Kenya. 2.3 Overview of the South African economic growth in relation with financial sector development Economic growth is the expansion of a country's production capacity over a period in an economy. Gross domestic product (GDP) is the metric used to measure it. Economic growth is crucial as it directly influences the level of life in an economy and has a significant role in generating employment opportunities (Pettinger, 2019). The financial services industry is a crucial component of the South African economy and has a significant impact on the lives of every citizen. Financial services facilitate individuals in conducting regular economic transactions, accumulating, and safeguarding wealth for future goals and retirement, and mitigating the risks associated with 23 | P a g e personal calamities. The financial sector at the macroeconomic level facilitates economic expansion, the generation of employment opportunities, the construction of essential infrastructure, and the promotion of sustainable development for South Africa and its citizens. Figure 2.8 Value added to GDP by the financial industry from 2015 – 2022 (in millions ZAR) Source: Statista, 2023 In 2022, the financial industry in South Africa made a significant contribution of around 1.09 trillion rand to the country's gross domestic product (GDP). The sector's contribution to the country's GDP in 2015 amounted to almost 921 billion rand, which has now increased. 24 | P a g e Figure 2.9 GDP-annual (%) from 2000 – 2024 Gross Domestic Product (%) 8,00 6,00 4,00 2,00 0,00 -2,00 -4,00 -6,00 -8,00 Source: International Monetary Fund, 2023 The financial industry in South Africa has assets worth more than R6 trillion, which is equivalent to 10.5% of the country's gross domestic product (GDP) each year. This sector employs 3.9% of the workforce and contributes at least 15% of the corporate income tax. The entity has successfully weathered the crisis with minimal damage and has maintained its robust performance from the previous ten years. The sector has seen a compound annual growth rate of 9.1% since 2000, whereas the overall economic growth has been 3.6%. The financial industry in South Africa has had significant employment growth, with a 24.5% rise in the number of persons working in the sub-sector. This growth has positioned the financial sector as one of the fastest-growing employers in the country. The sector's total assets have experienced substantial expansion, with a nominal compound average growth rate of 12.3% from 2000 to 2010. The current value of financial sector assets is 252% of the gross domestic product. Like other financial sectors, South Africa's financial industry has grown more interconnected and consolidated, which exposes the country to substantial risks. Despite South Africa's strong macroeconomic foundations and solid financial regulatory structure, it saw a relatively greater impact from the financial crisis compared to other G-20 nations. This led to a significant loss of over 1 million jobs and a decrease in GDP, as seen in figure 9. Growth has ultimately rebounded, but at a somewhat diminished level compared to 2007. The financial industry saw a robust recovery from the effects of the COVID-19 pandemic, as evidenced by a decrease in the nonperforming loans ratio from 4.5% in 2021 to 4.0% in 2022. Poverty continues to persist at alarming levels, with around 30% of individuals living in conditions of extreme poverty in the year 2022. In 25 | P a g e 2021, the Gini coefficient stood at 0.63, indicating a significant level of inequality. The unemployment rate stood at around 32.7% in December 2022. Figure 2.10 SA GDP by sector contribution 2023 South African GDP Contribution by Sector Q2 2023 3% 7% 17% 6% 12% 22% 14% 2% 3% 14% Agric Mining Manufacturing Electric Const Wholesale Transport Finance Personal Govt According to Figure 10, the financial and business sector made the highest contribution to the GDP in the third quarter of 2023, accounting for 22% of the GDP. This was followed by government expenditure, which contributed 17%. The agricultural industry and the wholesale and retail commerce sector both contribute 14% to the overall economy. The financial sector is undeniably crucial for economic growth. 2.4 Chapter summary This section examined and offered data on the impact of the financial sector and advancements on the economic expansion of South Africa. It analysed the contributions by sector and compared them with the BRICS nations and other African countries. The developed financial sector has clearly had a beneficial impact on the growth of South Africa by improving financial accessibility and enhancing the efficiency of financial goods in the economy. 26 | P a g e Chapter three: Theoretical framework and Empirical evidence 3.1 Introduction The objective of this chapter is to provide the necessary contextual information for the research, which focuses on examining the relationship between the development of the financial sector and economic growth in South Africa, in a comprehensive manner. The relationship between the functioning of the financial system and economic growth has been thoroughly examined within the field of development economics. In the realm of theoretical discourse, this analysis offers insights into the interplay between the development of the financial sector and economic growth, drawing upon established theories such as endogenous growth theory, institutional theory, and resource-dependent theory. In contrast, the subsequent section of this chapter presents an examination of empirical data, encompassing various studies conducted by scholars, pertaining to the correlation between the development of the financial sector and economic growth. This analysis encompasses investigations conducted in both developed and developing nations, as well as evidence specific to South Africa. 3.2 Theoretical literature 3.2.2 Introduction A multitude of scholarly papers have been written with the objective of examining the influence of financial development on several facets of an economy, such as domestic savings, capital accumulation, technological innovation, and income growth. However, there is a lack of scholarly investigation undertaken on countries within the Sub-Saharan African region, including South Africa. The Gross Domestic Product (GDP) of South Africa exceeds the collective GDP of all other nations within the Southern African Development Community (SADC) by a ratio of three. Therefore, it is important to analyse the influence of the development of the financial sector on the economy of South Africa. The correlation between the development of the financial sector and economic growth remains inconclusive since several theories have not yielded conclusive proof. This study provides a comprehensive analysis of the extant scholarly works pertaining to growth theories in the field of economics, with a special emphasis on the relationship between the growth of the financial sector and economic growth. 3.2.3 The Endogenous Growth Theory The field of finance plays a significant part in the endogenous growth hypothesis, as evidenced by its beneficial influence on capital accumulation and savings levels (Romer, 1988). According to Barro and Sala-i-Martin (2004), the endogenous growth hypothesis posits that economic growth is predominantly influenced by internal variables rather than external influences. According to the theoretical framework, the proper use of technology 27 | P a g e and the presence of a proficient workforce have the potential to enhance productivity. The theory encompasses a set of theoretical frameworks that aim to explain the process of economic growth by incorporating the role of technical advancements and innovation. One of the key arguments put out by endogenous growth economists is that enhancements in productivity are closely associated with accelerated innovation and increased expenditures in human capital. The Schumpeterian Growth Model The relationship between endogenous growth theory and the concepts put out by Joseph Schumpeter may be observed within the framework of their respective contributions to the comprehension of economic development and innovation (Alcouffe & Kuhn, 2004). Schumpeter's work precedes the official establishment of endogenous growth theory; however, it has exerted a significant effect on and made valuable contributions to the advancement of this theoretical framework. Joseph Schumpeter is widely recognised for his seminal notion of "creative destruction" and the pivotal role that innovation plays in propelling economic expansion. In his influential publication "Capitalism, Socialism and Democracy" released in 1942, Schumpeter posited that the advancement of the economy is propelled by the mechanism of innovation, entrepreneurship, and the implementation of novel goods, procedures, and technology. The speaker placed significant emphasis on the pivotal role played by entrepreneurs in the disruption of established sectors and marketplaces, achieved via their inventive endeavours. One of the fundamental principles elucidated by endogenous growth theory is that knowledge and innovation are not externally bestowed, but rather internally generated through several methods including research and development (R&D), education, and experiential learning. This statement is in accordance with Schumpeter's focus on the pivotal role of innovation and entrepreneurship in driving economic progress. AK Model The relationship between financial development and economic growth is frequently explored through the utilisation of a linear endogenous growth model, namely the AK model, which was initially suggested by Pagano in 1993. The model illustrates a direct correlation between heightened financial development and higher levels of economic growth. In the present investigation, we shall undertake an examination of a fundamental endogenous model pertaining to the production function. The variable Y represents the output created at a specific time t, and it is determined by a single element referred to as capital Kt: 𝑌�𝑡� = 𝑓�(𝐴�𝐾�𝑡�) 28 | P a g e The variable A represents the marginal productivity of capital or serves as an indicator of the overall efficiency of the economy in utilising the capital stock K. To enhance simplicity, the model operates on the assumption that the population remains constant throughout time, and that the economy exclusively generates a single item that may be either consumed or invested. When the single good is invested, it undergoes a depreciation process at a rate of 𝜎� each period. Therefore, the calculation for gross investment may be expressed as: 𝐼�𝑡� = 𝐾�𝑡�+1 − (1 − 𝜎�) 𝐾�𝑡� For a closed economy, capital market equilibrium requires saving, 𝑆�𝑡� to equals investment, 𝐼�𝑡�. Assuming the proportion of saving, (1-φ), is lost through financial intermediation, then: φ𝑆�𝑡� = 𝐼�𝑡� From 𝑌�𝑡� = 𝑓�(𝐴�𝐾�𝑡�), the growth rate is obtained at time t+1 as 𝑔�𝑡�+1 = (𝑌�𝑡�+1⁄𝑌�𝑡� − 1) = (𝐾�𝑡�+1⁄𝐾�𝑡� − 1) Therefore, using 𝐼�𝑡� = 𝐾�𝑡�+1 − (1 − 𝜎�) 𝐾�𝑡� and dropping the time element, the steady-state growth rate, Y (g) will be obtained by: 𝑔�𝑡� = 𝐴� 𝐼�𝑡�/𝑌�𝑡�− 𝜎� = 𝐴�φ𝑆�𝑡� – 𝜎� The equation 𝑔�𝑡� = 𝐴� 𝐼�𝑡�/𝑌�𝑡�− 𝜎� = 𝐴�φ𝑆�𝑡� – 𝜎� represents the relationship between the growth rate, denoted as g, at a given time t, and many factors including the marginal productivity of capital (A), the savings rate (S), the proportion of savings invested (φ), and depreciation (𝜎�). Therefore, it can be concluded that both the savings rate and the productivity of capital have a favourable impact on long-term economic growth. Therefore, a higher degree of development in the financial sector will result in increased economic growth if it leads to more savings. (ii) This phenomenon leads to an increase in A. (iii) Additionally, it results in a decrease in the proportion of savings that are squandered due to inefficient intermediation, represented by (1-φ). The New Endogenous Growth Theory The New Growth Theory posits that financial markets and institutions emerge because of internal factors in reaction to market imperfections, therefore playing a role in fostering sustained economic growth. Financial markets and institutions play a crucial role in alleviating the impact of transaction and information costs within 29 | P a g e the market. This, in turn, facilitates the allocation of resources towards sectors that have more potential for stimulating economic growth. The New Endogenous Growth Theory aims to rectify the limitations of the neoclassical growth theory, which posits that long-term economic growth is primarily driven by exogenously determined technical advancements. Consequently, elucidating the disparities in technical advancements among nations has proven to be challenging. The presence of technology disparities can elucidate the reasons for the contrasting levels of economic prosperity observed across different nations. The new growth theory postulates a theoretical framework in which the development of technology is internally determined. The model incorporates the presence of a research and development sector that actively creates novel ideas to predict technological advancements. Monopolistic competition entails the use of concepts to produce capital commodities, hence enabling researchers to get financial gains from their endeavours. Factor inputs are components utilised in the sector responsible to produce manufactured products (Romer, 1993). The theory is confronted by three key assumptions, the first of which posits that technological innovation plays a crucial role in facilitating long-term growth. Furthermore, advancements in technology are mostly propelled by intentional actions taken by customers in response to market incentives. Thirdly, the economics pertaining to ideas diverges in that the expenses associated with production are only borne once, but the ideas can be reused without incurring further expenditures. The inclusion of monopolistic competition in the new endogenous growth theory renders price-taking conduct irrelevant. The concepts of non-rivalry and non-excludability of technological progress are evident in this observation. According to Romer (1993), the non-rivalrous nature of a good, such as knowledge, implies that its use by one individual does not impede another individual's ability to consume it. 3.2.4 Institutional Theory Quality of institutions In accordance with Filippidis and Katrakilidis (2014), institutions refer to the established regulations and guidelines that a society establishes for itself. These institutions play a crucial role in shaping the incentives individuals encounter, hence influencing the decisions they make in their interpersonal engagements. An alternative perspective on institutions is examining their influence on the transaction costs associated with enforcing contracts. According to Filippidis and Katrakilidis (2014), the presence of clearly stated rules and their effective enforcement can significantly decrease the transaction costs encountered by economic agents, resulting in enhanced efficiency of outcomes. The institution theory posits that variations in legal frameworks account for the differences in institutions between nations. Conversely, the second hypothesis asserts that disparities in 30 | P a g e institutions arise from variations in the early functioning of the economic and political systems. Previous studies have made attempts to examine this idea by conducting independent tests on legal origin or settler mortality variables. However, recent advancements in methods and indexes have enabled researchers to get more comprehensive measurements of legal institutions and government efficiency. Consequently, these improved measures offer a more accurate understanding of the causal relationships between these factors. Institutions have a pivotal role in driving financial growth. Social systems encompass a combination of informal elements, such as restrictions, conventions, traditions, trust, and social capital, as well as formal components, including rules, constitutions, laws, and property rights. Enhanced institutional quality, characterised by clearly stated regulations and effective enforcement mechanisms, significantly decreases the transaction costs encountered by economic actors, hence fostering more efficient results. The impact of institutions and the legal framework on financial development is expected to be influenced by the financial sector's capacity to allocate resources towards funding productive endeavours. According to Beck, Demirguc-Kunt, and Levine (2004), the enhancement of creditor rights and the enforcement of contracts tend to facilitate the expansion of financial markets. The enhanced availability of borrower information contributes to the increased accessibility of loans and the improved operational effectiveness of financial institutions. According to a study conducted by Filippidis and Katrakilidis (2014), it was shown that the presence of creditor protection mechanisms, such as legislative frameworks and information sharing institutions, is positively correlated with greater levels of private credit to GDP ratios. Additionally, the study highlights that the legal roots of a country have a significant role in determining the effectiveness of both creditor protection mechanisms and their impact on private credit to GDP ratios. According to Beck, Demirguc-Kunt, and Levine (2004), the association between financial intermediary development and initial endowments is more substantial compared to the association with legal beginnings. Currently, economists continue to direct their attention towards the correlation between institutional factors and the development of financial systems. This highlights the significance of institutions in elucidating a substantial portion of the disparity in financial development among countries and over different periods of time (Kaidi et al., 2019). Law and finance Theory The initial aspect of the law and finance theory posits that in nations whose legal systems uphold private property rights, endorse private contractual agreements, and safeguard the legal entitlements of investors, individuals who save money are more inclined to provide financial resources to enterprises, resulting in the thriving of financial 31 | P a g e markets (Beck & Levine, 2003). Legal structures that do not uphold private property rights or enable private contracting to impede corporate financing and hinder financial development. The second part of the law and finance theory highlights that the various legal traditions that originated in Europe in the past centuries and were subsequently disseminated globally through conquest, colonisation, and imitation play a significant role in understanding the variations in investor protection, the contractual environment, and financial development across countries in the present day (Beck & Levine, 2003). Efficient company finance and growth-enhancing financial development are facilitated by effective investor protection. The law and finance theory highlights the significance of variations in contract, company, bankruptcy, and securities laws across different countries. It also emphasises the importance of legal systems that prioritise private property rights and have efficient enforcement mechanisms. These factors influence the extent of expropriation and consequently impact the level of confidence individuals have when buying securities and engaging in financial markets (Gazdar & Cherif, 2015). When considering the impact of legal institutions on corporate finance and financial development, there are varying viewpoints on the extent to which the legal system should primarily facilitate private contractual agreements and the extent to which it should establish specific laws regarding shareholder and creditor rights (Gazdar & Cherif, 2015). Competent legal institutions enable experienced financial market participants to create a wide range of intricate private contracts to address intricate agency issues. To ensure the successful implementation of this, it is crucial that courts impartially uphold private contracts and possess the capacity and desire to comprehend elaborate contractual terms and validate technically difficult sections that initiate specified activities (Gazdar & Cherif, 2015). Developing business, bankruptcy, and securities laws might offer potential benefits in terms of organising financial transactions and safeguarding the interests of minority owners and creditors, considering the challenges associated with enforcing intricate private contracts (Rachdi & Mensi, 2012). Although standardisation can enhance efficiency by reducing transaction costs related to various financial market agreements, excessively inflexible frameworks can limit customisation and impede efficient contracting. 3.2.5 Resource-Dependent Theory Based on the Resource-Dependent theory, the expansion of the financial sector aids in the quicker growth of businesses that heavily rely on external funding. It also assists firms, particularly smaller and less transparent ones, in overcoming limitations in obtaining funds (Beck et al., 2005). The beneficial impact of the development of the financial sector on economic growth is mostly achieved through enhanced resource allocation and 32 | P a g e productivity growth, rather than simply increasing capital accumulation. The financial sector in a resourcedependent economy is moulded by the requirements of prominent enterprises in the mineral extraction sector, since the structure of the financial sector is anticipated to mirror the production structure of the economy (Paun, Musetescu, Danuletiu, & Topan, 2019). In resource-scarce nations, the local banking system has a reduced significance, while the use of capital markets is increasingly prevalent. Resource-dependent economies often have the same disadvantages that might hinder the growth of the financial industry (Kurronen, 2012). The presence of abundant resources increases the likelihood of rent-seeking behaviour and leads to ineffective governance. Resource-rich economies sometimes exhibit a tendency to inadequately educate their population. Kurronen (2012) identifies four factors that contribute to the association between developmental stages and limited natural resource endowment. 1) The poor majority has little patience for taking advantage of the limited natural resources for profit; 2) Making the most of scarce resources and investing in the development of valuable assets like human capital; 3) Countries that lack valuable resources have less reason to restrict trade policies; 4) Lower-income countries start expanding into competitive manufacturing earlier. 3.3 Empirical literature 3.3.1 Empirical literature from developed countries According to the findings of Cecchetti and Kharroubi (2012), the adverse impacts of financial development on productivity growth at the industry level may be attributed to the level of financial development. The result was derived from an examination of industry-level data obtained from a sample of 50 advanced OECD nations spanning the years 1980 to 2009. If a negative correlation exists between the expansion of the financial sector and the extent of financial development, as well as a positive correlation between the magnitude of the financial sector and the growth of industry productivity, individuals may erroneously attribute a detrimental impact to the growth of the financial sector, when in fact it signifies the favourable influence of the level of financial development. The impacts of monetary policy were explored by Cecchetti and Kharroubi (2012). The anticipated trajectory of the financial sector's expansion is projected to be impacted by the attitude of monetary policy and the prevailing cost of capital. It is expected that the implementation of a more accommodative monetary policy and a reduction in the cost of capital would lead to a more rapid growth of the financial industry. Since monetary policy tends to be more accommodative during periods of low aggregate growth, it is plausible to argue that the findings suggest a countercyclical operation of monetary policy. 33 | P a g e The experts have arrived at the determination that the magnitude and growth of a country's financial system might hinder the emergence of productivity. During a certain phase, the proliferation of the financial system might potentially impede tangible economic progress. Financial booms typically do not make significant contributions to overall economic development due to the inherent competition between the financial sector and other sectors of the economy for limited resources. The study conducted by Shahbaz, Loganathan, Tiwari, and Jahromi (2015) aimed to analyse the correlation between financial development and income inequality in Iran. The researchers utilised the ARDL limits testing technique to assess the long-term association, considering any structural breaks in the data series. Their findings indicated that to achieve a more equitable distribution of income, it is necessary to enhance the banking sector in Iran. To narrow the socioeconomic disparity, it is imperative to facilitate access to financial services for entrepreneurs. This measure will not only alleviate income inequality but also foster economic development inside the nation. The authors Shahbaz, Loganathan, Tiwari, and Jahromi (2015) suggest that the expansion of the capital market might serve as a potential solution for Iran's economic growth. Shahbaz et al. (2017) conducted a study that analysed the variables influencing the economic growth of China and India using data spanning from 1970 to 2013. Their research findings indicate that the growth of their economies was notably shaped by the advancement of their industrial sectors. The study conducted by Asteriou and Spanos (2019) analysed data from 26 European Union nations to investigate the correlation between financial development and economic growth during the Global Financial Crisis in 2008. The findings indicate that excluding the crisis era, financial development has a positive impact on economic growth. However, during the crisis periods, it has a detrimental influence on economic activity. During the period between 2008 and 2009, the research indicates that the proportion of commercial bank assets had a crucial role in preventing an economic collapse. This implies that enough capital held by banks contributed to maintaining the stability of the financial system. The data from the subprime crisis period indicate that liquid liabilities impeded economic development. The level of foreign trade openness in a country's economy was the main factor that drove growth during both crisis periods. Our findings suggest the need for more research into the unorthodox financial development strategies that contribute to economic growth following a crisis. 3.3.2 Empirical literature from developing countries A study conducted by Nguyen, Brown, and Skully (2019) investigated the influence of a country's degree of economic development on the link between finance growth and rising economies. The study analysed data from 34 | P a g e two samples: a full sample covering the global crisis era from 1980 to 2011, and a pre-crisis sample from 1980 to 2006. Their assessment of financial progress relied on four key elements: banking, stock markets, bond markets, and insurance. This enabled them to compare the outcomes for each. Banking had a detrimental correlation with growth across all levels, indicating that a significant portion of bank loans may be allocated towards non-growth endeavours, such as personal expenditures. Stock markets had a beneficial impact on economic development for middle income nations. However, for high income countries, this positive effect was only observed in the pre-crisis period. The bond market performance showed improvement when comparing the whole sample to the pre-crisis sample. Lower income outcomes continued to have a detrimental impact on bond markets, indicating the existence of a certain threshold that must be met to stimulate growth. Insurance provided the most effective support for economic growth across all stages of development. The measure was derived from the actual amount of insurance per person, and as a result, we suggest that the policy should focus on supporting this sector to stimulate more expansion. Gebrehiwot and Mekonnen (2020) conducted a 28-year research (1990-2017) to investigate the relationship between financial growth and economic expansion in 34 African countries. The authors' focus was to use empirical research to verify if financial development promotes economic success in Africa. The authors assert that the positive and significant influence of financial expansion on African economic growth is mostly manifested through its impact on investment and innovation. The study suggests that financial development may play a more crucial role in promoting economic growth in underdeveloped African nations, considering their less advanced financial systems. The research undertaken by Qamarzumman (2017) investigated the relationship between financial growth and economic expansion in the context of Bangladesh. The study included yearly data spanning from 1980 to 2016. The study conducted a comprehensive investigation of the enduring relationship between autoregressive distributed lag (ARDL) models and identified a robust link between financial development and economic growth. The country of Bangladesh has exhibited a robust and persistent correlation between the advancement of financial systems and the expansion of its economy, as evidenced via rigorous study. The study revealed that financial advancement had a substantial impact on investments and the efficiency of resource allocation, leading to a major jump in Bangladesh's economic growth. The research revealed compelling evidence of reciprocal interaction between the financial and real sectors, suggesting that financial expansion not only stimulates but also reflects changes in the real sector. The results were consistent across several indicators of financial development and economic growth. 35 | P a g e Ducanes and Bautista (2019) examined the impact of financing on the growth of two sectors in a sample of 77 developing nations. The two parts were connected through a nonlinear relationship, and financial advantages were only realised upon surpassing a specified threshold. According to Ducanes and Bautista (2019), a certain degree of financial development is required to get substantial advantages because of the first substantial and uneven investment in these areas. Ducanes and Bautista (2019) highlight the significance of enhancing the domestic financial system in decreasing the reliance of enterprises on cash flows for investment decisions and alleviating external financial limitations, particularly for small firms. These, in turn, have consequences for growth that is more comprehensive and stable. In this context, it has been discovered that remittance-receiving countries, despite being considered financially underdeveloped based on traditional measures, may not be as financially underdeveloped as they appear. This is because remittances can help alleviate financing constraints. 3.3.3 Empirical literature from South Africa Kapingura (2013) conducted a study that goes beyond previous research by examining the degree to which financial markets and financial intermediaries complement or replace each other in South Africa, rather than only focusing on the relationship between economic growth and financial development. The author discovered data indicating a reciprocal relationship between the development of the stock market and economic growth. The relationship between the stock market and economic growth is greater, with a causality level of 5%, compared to the banking sector which has a causality level of 10%. The stock market offers a range of financial services that can contribute to economic growth, surpassing the banking industry in this regard. Regarding the bond market, there is evidence of a one-way causation from the bond market to GDP. This implies the existence of the supplyleading theory. The empirical findings indicate that the gradual movement of services through financial markets, specifically the stock market and the bond market, play a crucial role in providing funds for research and development investment in Africa, hence contributing to economic growth (Kapingura, 2013). The author's conclusion is that, due to the underdeveloped and illiquid nature of financial markets in Africa, it is necessary for authorities to promote the development of these markets. This can be achieved by implementing a combination of taxes, legal measures, and regulatory policies that will eliminate obstacles to financial market operations and ultimately improve their efficiency. The study conducted by Akinboade and Kinfack (2014) utilised econometrics approach to investigate the correlation between four Millennium Development Goals (MDGs) goals, four indices of financial sector 36 | P a g e development, and economic growth in South Africa. Typically, an increase in per capita income leads to an increase in per capita spending on education in the near term. The reduction in the ratio of total domestic credit to GDP leads to a decline in expenditure on education. There exist extremely significant long-term correlations among the variables. According to a study conducted by Akinboade and Kinfack (2014), there is a positive correlation between enhancing access to credit from the private sector and rising per capita earnings, and the improvement of health outcomes in South Africa. There is no correlation, either in the short term or the long term, between household expenditure on clothing, economic growth, and the expansion of the financial sector. Manyedi and Ndlovu (2018) employed time series data spanning from 1990 to 2016 to examine the impact of financial sector development on economic growth in South Africa. Their research indicated that the expansion of the finance industry had a significant positive impact on the economic growth of South Africa. Additionally, they found data indicating that the level of financial depth had a significant role in this correlation. 3.4 Assessment of literature After conducting a thorough analysis of the available literature, the connection between the development of the financial sector and economic growth is intricate and diverse. This link is impacted by several factors and can differ among nations and regions. Theoretical literature examines many frameworks that aim to comprehend the correlation between the development of the financial sector and economic growth. The Endogenous rise Theory emphasises the significance of finance in the accumulation of capital and the rise of productivity. The text underscores the significance of innovation and entrepreneurship in propelling economic advancement, in accordance with Joseph Schumpeter's concepts of creative destruction. The AK Model places significant emphasis on the influence of financial development on both savings and productivity. The New Endogenous Growth Theory emphasises the significance of financial markets in promoting innovation and technological advancement. Institutional Theory emphasises the importance of well-defined regulations, ownership rights, and the legal structure in fostering the growth of the financial sector. Resource-Dependent Theory posits that the advancement of financial systems may be advantageous for companies that heavily rely on external funding, particularly in economies abundant in natural resources. Empirical research has looked at the relationship between the rise of the financial industry and economic expansion in both industrialised and developing nations. The results of research on the connection between economic growth and financial development have been conflicting. While some studies find that financial development has a positive impact on growth, others find that it has dependent or adverse impacts. Studies carried out in developed countries indicate that there may be a complex relationship between the growth of the financial 37 | P a g e industry and economic productivity. The outcomes might be impacted by variables including the level of financial development and the influence of monetary policy. Several studies suggest that an overly large financial sector might be detrimental to economic expansion. Because different financial industry sectors—such as banking, stock markets, bond markets, and insurance— have differing effects, there is inconsistent evidence of a link between financial development and economic growth in emerging economies. Insurance has shown promise in promoting economic growth across a range of socioeconomic levels. Studies carried out only in South Africa underscore the importance of financial markets, encompassing the stock and bond markets, in promoting economic growth. According to the research, these markets have the capacity to provide a variety of financial services that are important for promoting economic growth. There appears to be less of a relationship between the banking industry and economic expansion. 3.5 Chapter summary The main objective of this chapter was to present and analyse theoretical literature and empirical research that elucidate the connection between the development of the financial sector and economic growth. The discussed economic growth theories include the endogenous growth theory, which proposes that financial development has a positive impact on economic growth by increasing capital accumulation and productivity through technological advancements. The institutional theory explores how institutions influence the efficiency and effectiveness of financial markets. Lastly, the resource-dependent theory suggests that financial development can facilitate faster growth, improved resource allocation, and enhanced productivity for industries that rely on external finance. The empirical information presented in this chapter is derived from prior research conducted by several experts, who have reached diverse conclusions in their own investigations. 38 | P a g e Chapter four: Research Methodology 4.1 Introduction This chapter outlines the methodologies that will be employed to examine the relationship that exists between the development of the financial sector and the economic growth in South Africa. This chapter delineates the methodology employed and provides an account of how the estimation of said methodology was implemented. The chapter provides an elaborate explanation of the variables and different tests employed in the study's model, which encompasses the data period and data sources. 4.2 Model specification This paper introduces an econometric model that examines the correlation between the financial sector and economic growth in South Africa. The purpose of this study was to assess financial sector growth using three indicators: the ratio of broad money stock to GDP, the bank deposit to GDP, and the domestic credit to private sector. The dependent variable utilised was GDP per capita. This study aims to analyse the empirical relationship between financial development and economic growth. To do this, a model developed by Cecchetti and Kharroubi (2012) will be employed. The typical quadratic relationship between economic growth and financial development is: GDP = (MCYt + BDCYt + DCCYt + RRATEt + INFLt) ……………………………...(1) Where: GDP is the gross domestic product per capita. MCYt is the ratio of broad money stock to GDP. BDCYt is the bank deposits to GDP. DCCYt is the domestic credit to the private sector. The RRATEt real interest rate INFLt is inflation. Logarithms are essential for enhancing the performance of distributions, reducing the influence of outliers, and reducing the extremes of data. Using logarithm in the model is essential since the exponential trend in time series data is linear, and Brooks (2008) supports with this statement. There will be an introduction of logarithm to the 39 | P a g e model assuming a constant, β; coefficients of explanatory variables, β1 to β5 and error term εt then the model becomes: LogGDPt = β + Log β1MCYt +Log β2BDCYt +Log β3DCCYt +Log β4RRATEt +Log β5INFLt + εt (2) 4.3 Definitions of variables and prior expectations Economic growth As a measure of economic progress employed in the study, real GDP per capita acts as the dependent variable. According to(Aziakpono, 2011) claims that if GDP growth outpaced population growth, average family income would increase and there would be more resources available for investment and development. Increasing investment and lending by financial institutions is likely to result in a better financial sector that promotes economic growth in a healthy and expanding economy (Aziakpono, 2011). Indicators of financial sector development One way to evaluate the monetization of the economy is to look at the GDP to broad money (M3) ratio. Liberto (2020) defines broad money (M3) as follows: currency, deposits with a two-year predetermined maturity, redeemable deposits with a three-month notice period, repurchase agreements, money market fund shares/units, and debt instruments with a two-year maturity. A greater ratio results in more money being available for investments as well as a greater selection of financial services and goods, including loans and insurance (Liberto, 2020). The ability of the financial sector to sustain the economy is shown by the ratio of bank deposit to GDP, which measures the economy's capacity to fund itself (Cavusoglu et al., 2019). A higher ratio indicates a more developed financial sector since it signifies that a bigger amount of savings is going into the banking system. According to (Cavusoglu et al., 2019) this may result in improved access to financing and investment possibilities, the potential creation of jobs, and overall economic growth. Domestic credit to the private sector is a frequently used indication of the financial industry's allocated efficiency, and allocated efficiency is expected to rise as the financial system matures. It stands for financing for the private sector (Oriavwote & Eshenake, 2014). Additionally, compared to public sector credit, private sector credit produces better production (Cavusoglu et al., 2019). Increasing domestic credit to the private sector can encourage business investment and give small and medium-sized businesses and entrepreneurs access to financing. 40 | P a g e According to (Cecchetti & Kharroubi, 2012) real interest rates and inflation are two of the control variables in the model that are often used in literature. Real interest rates and inflation are frequently used to gauge an economy's overall health. Real interest rates show the cost of borrowing when inflation is considered, whereas inflation represents the overall level of prices for goods and services. High inflation and real interest rates can discourage investment and limit economic growth, while low inflation and real interest rates can boost economic activity, according to the World Bank Global. 4.4 Estimation technique 4.4.1 Unit root Tests The Augmented Dickey Fuller (ADF) (Dickey & Fuller, 1979) and the (Philips & Perron, 1988) unit root tests will be employed in this study. The ADF and Phillips-Perron tests have been challenged for their lack of power when variables are stationary, but their root is near to a non-stationary border (Khobai, Mugano, & Le Roux, 2017). This test will to be used to determine whether the data presented is stationary. Unit root tests can be used to determine whether data is significant at the level of first difference. Using the three degrees of significance, 1% is strongly significant, 5% is semi-significant, and 10% is badly significant. Under two criteria, Augmented Dickey Fuller and Philip Perron, unit root testing can be applied at the constant, intercept, and none levels (Shrestha & Bhatta, 2018) 4.4.2 Augmented Dickey-Fuller Test and Phillips-Perron Test A unit root test was performed in a time series by Dickey and Fuller (Dickey & Fuller, 1979). In terms of DickeyFuller test, this test is generally known to be used in econometrics for determining whether a certain type of time series data possesses an autoregressive unit root. This test, Dickey-Fuller test, is said to be the simple approach in testing for a unit root. However, most of time series data are complex, thus simple autoregressive model can be in adequate to be used in such economic time series, hence the use of Augmented Dickey-Fuller (ADF) test maybe necessary in such cases also. ADF test is simply an extraction from Dickey- Fuller test, it is an expansion form where Dickey-Fuller test is the original of it (Brooks, 2008). Also, according to (Brooks, 2008), (Philips & Perron, 1988) formed their theory of non-stationarity pertaining to the unit root. The Phillips-Perron test is a comparable test to the ADF test. PhilipPerron test is simply made use of in the unit root testing for the testing of the null hypothesis that order 1 integrated a time series is found to be. It is also worth to mention that the Pillips-Perron test is an extended modification of the ADF test. 41 | P a g e Hamilton (1994) states that the ADF removes all effects that are found to be structural in time series data, producing results that are more robust. In contrast, Phillips Perron acknowledges automatic amendment, allowing auto-correlated residuals. The PP unit root test typically has a stronger presence of serial correlation and heteroscedasticity than the ADF. Unit root techniques are often restricted due to the lack of covariance stationary unit roots, which require special handling. Additionally, when unit roots are present, they might provide statistical challenges due to OLS's bias. 4.4.3 Co-integration tests Co-integration tests are for a cause of analysing the time series processes that are not stationary meaning their variances and means tends to vary over time. This simply asserts that the method is applicable in econometrics even for the estimation of parameters that are of a long-run or equilibrium in systems that possesses variables of unit root (Brooks, 2008). Co-integration experiments are applied after stationary variables have been determined so that they can be checked if there is any significant impact between them. The “aim of using co-integration in this analysis is to look at the long-run relationship between financial sector development and economic growth. 4.4.5 Autoregressive distributed lag (ARDL) model The ARDL method is adopted in this work for several reasons, including its efficiency in predicting long-run connections and its lack of residual correlation, which lessens the problem of endogeneity. ARDL co-integration is a technique in which is mostly preferred in cases where variables are different in terms of how they are integrated this marks out different order such as I(0), I(1) or even when the two coexist, and robust becomes inevitable if the variables of the study have a long-run relationship that is even single in a sample size that is found to be small. ARDL makes the estimated standard error unbiased and eliminates the autocorrelation problem. It is applicable in this study because of its reliability and effectiveness in estimating smaller samples. The first stage in the ARDL co-integration methodology is to assess if there is a long-run link between the variable or not, which is done using the Bound F-statistic. When the F-value is higher than (I1) bound values at all significant levels (1%, 5% & 10%) that simply says that there is co-integration between variables, short-run and long-run tests are required. After finding the long-run relationship, the specified ARDL model coefficients will be computed. 4.4 Diagnostic Tests 4.5.1 Residual Normality test We'll utilise the Jarque-Bera test to determine normality. It makes use of the random variable's distribution feature. The initial two moments of the variance and the mean determine the whole distribution. Under the 42 | P a g e assumption that the series distribution is symmetric, the test statistic asymptotically fits into an X2. If the model's residuals are highly skewed or leptokurtic, the null hypothesis of normality is rejected (Gujarati, 2004). 4.5.2 Autocorrelation LM test The autocorrelation test will be performed to see whether there is any connection between the error term in one time and the error term in any other period. First-order autocorrelation occurs when the error term in one period is associated with the error term in the preceding period. The Durbin-Watson test specifically examines if there is a link between an error and its immediately preceding value, known as first-order autocorrelation. If there is proof of a connection between the consecutive residuals, the null hypothesis, which assumes that the error components are independent, is rejected (Gujarati, 2004). 4.5.3 The Heteroscedasticity test 4.5.4 Impulse response The impulse response function (IRF) describes how any dynamic system responds to an internal or external change. This can provide the dependent variables' time path in a VAR to all explanatory factors' shocks (Gujarati, 2004). 4.5.5 Variance decomposition According to (Brooks, 2008), variance decomposition analysis displays the percentage of movements in the dependent variables that are caused by the shocks themselves as opposed to shocks to other variables. variation decomposition technique therefore assesses the extent to which innovations to each explanatory variable account for the variation of the s-step forecast error variance of a given variable. 4.5 Data sources Time series analysis and yearly data covering the years 1992–2022 are used in this study. The sample period that was chosen considers modifications to the economic structures and policies within the economy of South Africa. The model is evaluated using GDP and financial sector development data. For the given time, data is sourced from the World Bank and the South African Reserve Bank. EViews software was used to investigate the included variables, including the dependent and independent variables. 4.7 Chapter summary In conclusion, this chapter discussed the methodology and techniques that are to be utilised in the study. The chapter estimates the model technique and further discusses the variables that are going to be utilised in the study and their apriori expectations. Conclusively, the study utilises the ARDL model co-integration test to establish the relationship between financial sector development and economic growth in South Africa. 43 | P a g e Chapter five: Estimation and interpretation of results 5.1 Introduction To ascertain the link between the development of the financial sector and economic growth in South Africa, the main objective of this chapter is to present, assess, and interpret the findings of the models that are estimated in the previous chapter. The following is an outline of the chapter: The co-integration tests are given and examined after the formal and informal unit roots testing. The variance decomposition test is conducted to wrap up the chapter after the VECM tests are given and examined. 5.2 Descriptive statistics Table 5.1 Summary of statistics Mean Median Maximum Minimum Std. Dev. Skewness Kurtosis LGDP 10.61182 10.77455 11.54231 9.335651 0.704551 -0.315748 1.707664 LMCY 13.80382 14.14935 15.11517 12.05649 0.978363 -0.385395 1.782856 LBDCY 14.07197 14.43699 15.40781 12.25489 1.016472 -0.394369 1.750101 LDCCY 11.14949 11.48194 12.95522 8.763584 1.253674 -0.442377 1.999305 LINFL 1.771670 1.744783 2.630066 0.724087 0.398892 -0.284453 3.410380 RRATE 5.164682 4.647315 12.69103 0.774484 2.902218 1.108438 3.531101 Jarque-Bera Probability 2.499946 0.286513 2.507964 0.285366 2.639429 0.267212 2.155887 0.340295 0.594578 0.742829 6.279232 0.043299 Sum Sum Sq. Dev. 307.7429 13.89899 400.3107 26.80146 408.0870 28.93004 323.3352 44.00753 51.37844 4.455224 149.7758 235.8403 Observations 30 30 30 30 30 30 The bank deposit to GDP ratio (LBDCY) exhibits a mean that is 14.07% higher than the mean of all other variables. This implies that LBDCY has a significant role in the overall economic output of South Africa, since it is the primary contributor to the country's Gross Domestic Product (GDP). The p-value for the LGDP is 0.286513, which above the 10% significance level. Consequently, we may conclude that the null hypothesis, which states that the residuals are normally distributed, is accepted. The p-value for the LMCY is calculated to be 0.285366, indicating that it above the predetermined significance level of 10%. Consequently, we accept the null hypothesis, which posits that the residuals conform to a normal distribution. The p-value for the LBDCY variable is determined to be 0.267212, which above the predetermined significance criterion of 10%. Consequently, we may conclude that the null hypothesis, which posits that the residuals follow a normal distribution, is accepted. The p-value for the LDCCY variable is calculated to be 0.340295, which above the predetermined significance level of 10%. Consequently, we may conclude that there is insufficient evidence to reject the null hypothesis, indicating that the residuals follow a normal distribution. The p-value associated with 44 | P a g e the LINFL variable is 0.742829, which exceeds the predetermined significance limit of 10%. As a result, we fail to reject the null hypothesis, indicating that the residuals conform to a normal distribution. The p-value associated with the RRATE variable is 0.043299, which above the predetermined significance level of 5%. Consequently, we may reject the null hypothesis that the residuals follow a normal distribution. Table 5.2 Correlation matrix Covariance Analysis: OrdinaryDate: 10/15/23 Time: 02:31 Sample: 1992 2022 Included observations: 30 Balanced sample (list missing value deletion) Correlation Probability LGDP LGDP 1.000000 LMCY LBDCY LDCCY LINFL LMCY 0.997891 0.0000 1.000000 ----- LBDCY 0.997780 0.0000 0.999663 0.0000 1.000000 ----- LDCCY 0.983890 0.0000 0.986916 0.0000 0.985628 0.0000 1.000000 ----- LINFL -0.570259 0.0012 -0.583241 0.0009 -0.578397 0.0010 -0.643040 0.0002 1.000000 ----- RRATE -0.482344 0.0081 -0.469331 0.0102 -0.476793 0.0089 -0.453987 0.0134 0.170127 0.3776 RRATE 1.000000 ----- The correlation between LGDP and LMCY is 0.997891, it is stronger. The correlation between LGDP and LBDCY is 0.997780, it is stronger. The correlation between LGDP and LDCCY is 0.983890, it is stronger. The correlation between LGDP and LINFL is -0.570259, it is non-existing. The correlation between LGDP and RRATE is -0.482344, it is also non-existing. 5.4 Stationarity testing As it has been mentioned before that the stationarity test is a necessity to avoid spurious or bogus regressions and as it has been foretold that stationary testing help in determining the estimation techniques that is going to be used in the study. Thus, this study made an employment o an informal and formal stationarity tests, where the informal stationarity test entails graph and the formal stationarity test pertains to the Augmented Dickey-Fuller (ADF) and Phillips Perron (PP). 45 | P a g e In terms of the graphical plots of the data, this shows the state at which the data is at in terms of stationarity, moreover, this shows how the data trends in the circumference of its mean at level series as well as first difference. For a variable to be considered as one that has high chance of being stationary the graph must cross an average value many times. However, if this condition does not hold or situation occur it will show that the data is more trending persistently and thus, the graphical analysis of the stationarity of the variables of the study are presented in Figure 5.1. Figure 5.1 Unit root tests – Graphical plots (level series) LGDP LMCY 11.6 16 11.2 15 10.8 10.4 14 10.0 13 9.6 9.2 12 1995 2000 2005 2010 2015 2020 1995 2000 LBDCY 2005 2010 2015 2020 2010 2015 2020 2010 2015 2020 LDCCY 16 13 12 15 11 14 10 13 9 12 8 1995 2000 2005 2010 2015 2020 1995 2000 LINFL 2005 rrate 3.0 14 12 2.5 10 2.0 8 1.5 6 4 1.0 0.5 2 0 1995 2000 2005 2010 2015 2020 1995 2000 2005 LGDP, LMCY, LBDCY & LDCCY are trending meaning that they are controlled by the time, therefore they are non-stationary. While LINFL and RRATE are stationary. 46 | P a g e Figure 5.2 Unit root tests – Graphical plots (1st difference) Differenced LGDP Differenced LMCY .16 .20 .12 .16 .08 .12 .04 .08 .00 .04 -.04 1995 2000 2005 2010 2015 2020 .00 1995 2000 .25 1.2 .20 0.8 .15 0.4 .10 0.0 .05 -0.4 1995 2000 2005 2010 2015 2020 -0.8 1995 2000 2015 2020 2005 2010 2015 2020 2015 2020 Differenced rrate Differenced LINFL .8 6 .6 4 .4 2 .2 0 .0 -2 -.2 -4 -.4 -.6 2010 Differenced LDCCY Differenced LBDCY .00 2005 -6 1995 2000 2005 2010 2015 2020 1995 2000 2005 2010 According to the findings above on Figure 5.2 it is a graphical presentation of the variables of the study, and this shows that every variable is stationary at first differenced level. Simply because all fluctuate around the mean or average value, hence they are also considered to be integrated as first difference. Meaning they can now be estimated at least, even though it is not enough to conclude based on a graphical presentation only because they are an informal way of testing stationarity, it does not provide full explicit results. Below the formal tests is conducted through the unit root tests using the ADF and PP testing techniques. 5.5 Unit root test The process of assessing stationarity by means of Unit Root testing involves the utilisation of two specific types of unit root tests, namely the Augmented Dickey-Fuller (ADF) test and the Phillips-Perron (PP) test. Two types of unit root tests are commonly employed to assess stationarity before to conducting co-integration tests, which 47 | P a g e serves as the initial stage in the analysis. Each test is run at three different conditions: none, intercept, and trend plus intercept. The outcomes of the unit root tests may be observed in Tables 5.2 and 5.3, which present the findings for both the level series and the first difference. Table 5.3 Unit root test – (level series) Variable LGDP LMCY LBDCY LDCCY LINFL RRATE Augmented Dickey fuller Trend & Intercept intercept 0.246457 -4.522534*** -1.301342 -3.039087** -1.150644 -2.682107* -2.731636 -2.100086 -5.151122*** -4.270928*** -2.938790 -2.088551 none 1.000638 2.519294 1.866758 3.658790 -0.792057 -2.447362** Philips Perron Trend & intercept 0.246457 -0.436280 -0.087576 -2.553550 -7.222519*** -2.593372 Intercept none -4.240093*** -2.840364* -2.878804* -2.080372 -4.233365*** -2.071004 6.892273 6.547553 5.876891 3.553920 -0.791053 -1.037830 ***Significant at 1%, **significant at 5%, *significant at 10% The results are not stationary and therefore we can conclude that they are not credible results. Table 5.4 Unit root test – (differenced) Variable ∆LGDP ∆LMCY ∆LBDCY ∆LDCCY ∆LINFL ∆RRATE Augmented Dickey fuller Trend & Intercept intercept -4.639030*** -1.569995 -4.917749*** -3.319923** -3.635451** -2.518189 -6.158344*** -8.035775*** -1.780098 -1.894481 -6.268223*** -6.120601*** none -1.277577 -1.233545 -1.094204 -5.522866*** -4.598829*** -6.232045*** Philips Perron Trend & intercept -4.644852*** -4.904098*** -3.573692* -10.21375*** -5.050089*** -6.222633*** Intercept none -3.199194 -3.524104** -2.587267 -8.217003*** -5.228447*** -6.089812*** -0.945854 -1.053741 -0.867487 -5.633854*** -5.382380*** -6.196075*** ***Significant at 1%, **significant at 5%, *significant at 10% As per to the table above, Table 5.3, the results are showing that the data at first difference series has now found stationarity when it came to the two, ADF and PP tests where it mounted to a significance of 1%. Thus, it is now acceptable to conclude that the data is now good and significant to be used in the Autoregressive distributed lag model to test for cointegration. This takes place in the following section. 5.6 Model selection and ARDL Co-integration Test This study will use an ARDL model as some of the variables are stationary at 1st difference and some are stationary at the level which is one of the conditions for using ARDL model. The number of lags chosen for this study is two, as determined by the various criteria that were considered (AIC, SC, GQ, LR and FPE). 5.6.1 Bound test The bound F-test is a statistical tool that may be employed to ascertain the presence of co-integration. The evaluation of the estimated F-statistic in relation to the critical values (CV) of the lower and upper bounds serves 48 | P a g e as the foundation for either confirming or refuting the hypothesis. The critical values are assessed at significance levels of 1%, 5%, and 10%. If the F-statistic is found to be lower than the crucial values, it may be concluded that there is an absence of a long-term link. However, if the F-statistic surpasses at least one of the I (1) bound values, it indicates the presence of co-integration. The F-value observed in this model, which is 4.074243, exceeds the critical values for the I (1) limit at both the 5% and 10% levels of significance. Consequently, the null hypothesis, positing the absence of a sustained association between the variables, is refuted. Consequently, it has been established that co-integration is present in the model, indicating a long-term relationship between the dependent and independent variables. Table 5.5: Bound test results F-Bounds Test Null Hypothesis: No levels relationship Test Statistic Value F-statistic k 4.074243 5 Signif. I(0) I(1) 10% 5% 2.5% 1% Asymptotic: n=1000 2.08 2.39 2.7 3.06 3 3.38 3.73 4.15 5.6.2 Long run model A dependent variable is LGDP. Table 5.6: Long run cointegration results Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LMCY LBDCY LDCCY LINFL RRATE C 1.249338 -0.583493 -0.020593 -0.032992 -0.016227 2.201809 1.140739 1.028186 0.105830 0.063143 0.010691 0.876111 1.095200 -0.567497 -0.194582 -0.522493 -1.517853 2.513162 0.2991 0.5829 0.8496 0.6127 0.1600 0.0307 EC = LGDP - (1.2493*LMCY -0.5835*LBDCY -0.0206*LDCCY -0.0330*LINFL -0.0162*RRATE + 2.2018) The positive coefficient (1.249338) and statistical significance at the 5% level suggest that there is a positive association between LGDP and LMCY, according to the empirical data. Accordingly, the LGDP will rise by 1.249338% for every 1% increase in LMCY. The statistically not significant negative coefficient (-0.5835) suggests that there is a negative link between LBDCY and LGDP. This implies that the GDP will fall by 0.5835% for every 1% rise in bank deposit liabilities. The coefficient, which is negative (-0.0206) and statistically not 49 | P a g e significant, suggests that there is a negative association between LGDP and LDCCY. This implies that the GDP will fall by 0.0206% for every 1% increase in domestic credit to the private sector. The coefficient is negative (-0.0330) and statistically not significant, suggesting that there is a negative link between LGDP and LINFL. This implies that the LGDP will fall by 0.0330% for every 1% increase in inflation. The results are conceivable because inflation has an inverse influence on LGDP, even though an increase in inflation would encourage individuals to spend more money since they know it will be worth less later. Finally, the coefficient is negative (-0.0162) and statistically not significant, suggesting that there is a negative link between LGDP and RRATE. This means that a 1% increase in real interest rates will result in a decrease in LGDP of 0.0206%. The result is possible because when interest rates increase that makes borrowing expensive meaning that individuals will have less money to spend and lead to decrease in LGDP. 5.6.3 ECM Model Both the long-run and the long-run information are incorporated in the Error Correction Model. To determine if the variables drift away or return in the short run, the ECM model is utilized. Table 5.7: ECM Model results ARDL Error Correction Regression Dependent Variable: D(LGDP) Selected Model: ARDL(2, 2, 2, 1, 1, 2) Case 2: Restricted Constant and No Trend Date: 10/15/23 Time: 12:45 Sample: 1992 2022 Included observations: 30 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LGDP(-1)) D(LMCY) D(LMCY(-1)) D(LBDCY) D(LBDCY(-1)) D(LDCCY) D(LINFL) D(RRATE) D(RRATE(-1)) CointEq(-1)* -0.028501 0.095512 -0.019670 -0.226085 -0.090359 -0.013434 0.031663 0.000739 0.002740 -0.421628 0.148104 0.109558 0.130520 0.117127 0.124234 0.017192 0.012981 0.001401 0.001973 0.062416 -0.192436 0.871797 -0.150706 -1.930244 -0.727326 -0.781366 2.439251 0.527667 1.388447 -6.755110 0.8513 0.4038 0.8832 0.0824 0.4837 0.4527 0.0349 0.6092 0.1951 0.0001 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood Durbin-Watson stat 0.879542 0.811784 0.013887 0.003086 80.61549 2.536693 50 | P a g e Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. 0.073190 0.032010 -5.431961 -4.948077 -5.292620 The error correction coefficient, by definition, must be negative and significant, as indicated by the tstatistic and its p-value. The cointEq is the speed of adjustment parameter, and it represents how much of the previous period's disequilibrium is rectified in the current period. It is consideredsignificant when the cointEq is negative and the t-ratio and p-value are both significant. The errorcorrection coefficient in this model is negative (-0.42162800). Through the pace of adjustment this demonstrates that there are short run impacts of the model. This means that the model correctsat disequilibrium of the previous period at a rate of 42.16%. Since the error correction coefficientis negative, it is concluded that if the two variables move out of equilibrium, they will come backin the long run equilibrium. The R-squared (0.879542) and adjusted R-squared (0.811784) both have high values indicating that this model is normal and has a strong predictability. 5.7 Diagnostic tests Table 5.8: Diagnostic tests Tests Null hypothesis T-statistic P-value Conclusion Normality Jarque- Residuals are JBstatic = =0.919998 Residuals are bera test normally 0.166767 normally distributed distributed Breusch-Godfrey There is no Obs*R-squared Series correlation autocorrelation = autocorrelation LM Test in the residuals 5.301706 in the residuals. = 0.4016 Heteroscedasticity Residuals are Obs*R-squared WHITE TEST = homoscedasticity 18.67163 in the residuals. homoscedastic Ramsey RESET No Test misspecification = 1.956987 = 0.2004 There is no = 0.0820 There is There is no misspecification in the residuals. 51 | P a g e Figure 5.3 CUSUM Test 10.0 7.5 5.0 2.5 0.0 -2.5 -5.0 -7.5 -10.0 12 13 14 15 16 17 CUSUM 18 19 20 21 5% Significance Figure 5.4 CUSUM of squares test 1.6 1.2 0.8 0.4 0.0 -0.4 12 13 14 15 16 17 18 19 20 21 The cusum test and the cusum of squares test are used to assess the stability of the model. The cumulative total did not cross the crucial lines at the 5% level of significance, showing that the model is stable. It is evident that this model satisfies each assumption. 52 | P a g e Table 5.9 Q-STATIC Date: 05/15/23 Time: 13:41Sample: 1992 2022 Included observations: 30 Q-statistic probabilities adjusted for 2 dynamic regressors Autocorrelation Partial Correlation AC PAC 1 -0.253 -0.253 2 0.056 -0.009 3 -0.085 -0.078 4 0.069 0.031 5 -0.203 -0.189 6 -0.017 -0.132 7 -0.144 -0.198 8 0.012 -0.127 9 0.020 -0.027 10 -0.057 -0.147 11 0.098 -0.004 12 0.117 0.075 Q-Stat Prob* 1.8663 1.9608 2.1911 2.3474 3.7732 3.7842 4.5774 4.5832 4.6008 4.7467 5.2099 5.9205 0.172 0.375 0.534 0.672 0.583 0.706 0.711 0.801 0.868 0.907 0.921 0.920 *Probabilities may not be valid for this equation specification. Conclusion The aim of this research was to determine the correlation between the advancement of South Africa's financial industry and the country's economic expansion from 1992 to 2022. Unit root tests were run to evaluate the stationarity of each variable prior to the use of any approaches. It was found that some variables could only become stationary by differencing, as they were not in a stationary condition. The co-integration and presence of a long-lasting relationship between the expansion of South Africa's financial sector and economic growth were determined using the ARDL model. The study's findings suggest that there is a co-integration link. Both short- and long-term research show that although certain conditions hinder economic growth, a big money supply promotes it. The analysis proved that financial services development contributes positively to economic expansion. Financial sector development has been observed to enhance economic growth by bolstering competitiveness and fostering innovation. The paper suggests that the government should give priority to factors that increase the broad money supply to stimulate economic growth. It is necessary to have comprehensive financial investment plans and strategies. Chapter six: Conclusion and recommendations 6.1 Introduction This chapter provides a conclusive summary of all the discoveries that were previously covered in chapter five. The primary aim of the study was to ascertain the relationship between the 53 | P a g e development of the financial sector and the economic growth in South Africa from 1992 to 2022. The previous discussion encompassed the overview, theoretical framework, and empirical data pertaining to both foreign investment inflows and economic growth. 6.2 Summary of the study and conclusions The ARDL cointegration technique was employed in the study to determine the economic relationship between the development of the financial sector and economic growth in South Africa. The study looked at the connection between South Africa's economic expansion and the development of the financial industry. In contrast to other sectors within South Africa as well as in comparison to the BRICS countries and other African countries, it offered an examination of the financial sector's contribution to the nation's economic growth. By increasing financial accessibility and the effectiveness of financial commodities in the economy, the developed financial sector has undoubtedly aided in South Africa's progress. The study examined theoretical literature that investigated several frameworks for comprehending the correlation between the development of the financial sector and economic growth. The Endogenous rise Theory emphasises the significance of finance in both the accumulation of capital and the rise of productivity. The text underscores the significance of innovation and entrepreneurship in propelling economic advancement, in accordance with Joseph Schumpeter's concepts of creative destruction. The AK Model highlights the influence of financial development on both savings and productivity. The New Endogenous Growth Theory emphasises the significance of financial markets in promoting innovation and technological advancement. Institutional Theory emphasises the importance of well-defined regulations, ownership rights, and the legal structure in fostering the growth of the financial sector. Resource-Dependent Theory posits that the advancement of financial systems may be advantageous for companies that heavily rely on external funding, particularly in economies abundant in resources. Empirical research has looked at the relationship between the rise of the financial industry and economic expansion in both industrialised and developing nations. The outcomes of the research have been conflicting; although some studies find that financial development has a positive impact on economic growth, others find that it has negative or dependent effects. Studies conducted in developed countries indicate that there can be a complex relationship between the growth of the financial industry and economic output. The degree of financial development and the influence of monetary policy are two examples of variables that might 54 | P a g e affect the outcome. Several studies suggest that an overly large financial sector might be detrimental to economic expansion. The relationship between financial development and economic growth is not the same in emerging economies because different parts of the financial sector—banking, stock markets, bond markets, and insurance—have different effects. Insurance has shown promise in promoting economic growth in a range of social categories. Studies carried out only in South Africa underscore the importance of financial markets, encompassing the stock and bond markets, in promoting economic expansion. According to the research, these markets have the capacity to provide a variety of financial services that are important for promoting economic growth. There appears to be less of a relationship between the banking industry and economic expansion. The study's conclusions align with the empirical research presented in chapter three, which examined and determined the correlation between financial sector expansion and economic growth. 6.3 Policy implications and recommendations The financial services operations in South Africa operates within a globalized context, where a crisis in one economy can swiftly and severely affect others. Enhancing the integration of South Africa's financial sector with the global economy is crucial for promoting job creation and sustaining economic growth through increased international trade. However, this may potentially lead to heightened financial stability concerns and necessitate more oversight of the financial industry. The crisis has emphasised the necessity for improved coordination between financial regulation, monetary policy, fiscal policy, and other economic policies. It has also emphasised the importance of considering systemic risks in financial regulation. There is a need to further enhance pro-growth policies to stimulate investment and promote the development of the financial sector. South Africa should prioritise the development of financial institutions to enhance their financial services and products, particularly in rural regions where there is a limited presence of banks and microfinance organizations. This will enhance the availability of liquid assets in the economy and facilitate the acquisition of funds by small-scale business enterprises. The financial industry in South Africa is distinguished by exorbitant and non-transparent charges, and in certain instances, the unjust treatment of clients. For those who save money, 55 | P a g e especially those who are poor and vulnerable, the options for saving are restricted, costly, and unsuitable. Obtaining finance may be challenging for borrowers, especially for small and medium enterprises. Consistent grievances lodged with the appropriate ombudsmen and a multitude of impartial investigations substantiate the issue of fees and charges. An investigation conducted by the Competition Commission in the banking sector concluded that bank charges are excessively high. To tackle this difficulty, it is necessary to establish a regulatory body inside the Financial Services Board that specifically focuses on overseeing the market behaviour of retail banking services. The primary focus of this new regulatory body will be on matters pertaining to market structure and bank expenses. It will collaborate closely with the National Credit Regulator, which plays a complementary function in overseeing the provision of credit. 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Financial sector development and economic growth nexus in south africa. International Journal of Monetary Economics and Finance, 5(1), 64–75. https://doi.org/10.1504/IJMEF.2012.044467 World Bank. (2012). Global Financial Development Report 2013: Rethinking the Role of the State in Finance. Washington, DC: World Bank. www.macrotrends.net (Accessed 02 May 2023) www.resbank.co.za (Accessed 07 May 2023) www.resbank.co.za (Accessed 01 October 2023) www.statssa.gov.za (Accessed 22 May 2023) www.statssa.gov.za (Accessed 5 October 2023) www.tradingeconomics.com (Accessed 01 May 2023) Appendices Appendix 1: Integrated at I(0) 61 | P a g e LGDP LMCY 11.6 16 11.2 15 10.8 10.4 14 10.0 13 9.6 9.2 12 1995 2000 2005 2010 2015 2020 1995 2000 LBDCY 2005 2010 2015 2020 2010 2015 2020 2010 2015 2020 LDCCY 16 13 12 15 11 14 10 13 9 12 8 1995 2000 2005 2010 2015 2020 1995 2000 LINFL 2005 rrate 3.0 14 12 2.5 10 2.0 8 1.5 6 4 1.0 0.5 2 0 1995 2000 2005 Appendix 2: Integrated at I(1) 62 | P a g e 2010 2015 2020 1995 2000 2005 Differenced LGDP Differenced LMCY .16 .20 .12 .16 .08 .12 .04 .08 .00 .04 -.04 1995 2000 2005 2010 2015 2020 .00 1995 2000 Differenced LBDCY 1.2 .20 0.8 .15 0.4 .10 0.0 .05 -0.4 1995 2000 2005 2010 2015 2020 -0.8 1995 2000 Differenced LINFL 6 .6 4 .4 2020 2005 2010 2015 2020 2015 2020 2 .2 0 .0 -2 -.2 -4 -.4 -6 1995 2000 2005 Appendix 3: ARDL cointegration 63 | P a g e 2015 Differenced rrate .8 -.6 2010 Differenced LDCCY .25 .00 2005 2010 2015 2020 1995 2000 2005 2010 Dependent Variable: LGDP Method: ARDL Date: 11/29/23 Time: 12:11 Sample: 1994 2022 Included observations: 26 Dependent lags: 2 (Automatic) Automatic-lag linear regressors (2 max. lags): LDCCY LBDCY LMCY LINFL LRRATE Deterministics: Unrestricted constant and unrestricted trend (Case 5) Model selection method: Akaike info criterion (AIC) Number of models evaluated: 486 Selected model: ARDL(2,2,2,2,2,2) Variable Coefficient Std. Error t-Statistic Prob.* LGDP(-1) LGDP(-2) LDCCY LDCCY(-1) LDCCY(-2) LBDCY LBDCY(-1) LBDCY(-2) LMCY LMCY(-1) LMCY(-2) LINFL LINFL(-1) LINFL(-2) LRRATE LRRATE(-1) LRRATE(-2) C @TREND 1.641009 -0.661789 0.000309 7.35E-05 -0.000219 0.000201 -0.000266 -0.001217 -0.000297 7.28E-05 0.000860 9.08E-05 6.49E-05 4.71E-05 -1.43E-05 -1.88E-05 -1.17E-05 0.224200 0.000389 0.009821 0.008738 8.93E-05 8.67E-05 0.000114 0.000172 0.000226 0.000225 0.000212 0.000256 0.000226 3.07E-05 2.26E-05 1.75E-05 1.18E-05 1.18E-05 1.26E-05 0.011282 2.83E-05 167.0838 -75.73439 3.463314 0.847796 -1.919480 1.162996 -1.177255 -5.403291 -1.397764 0.284663 3.801459 2.960199 2.871026 2.691957 -1.216944 -1.589043 -0.930459 19.87244 13.77557 0.0000 0.0000 0.0105 0.4246 0.0964 0.2829 0.2776 0.0010 0.2049 0.7841 0.0067 0.0211 0.0240 0.0310 0.2631 0.1561 0.3831 0.0000 0.0000 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic 1.000000 1.000000 1.31E-05 1.20E-09 272.5322 1.38E+09 Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. Prob(F-statistic) 10.36735 0.411972 -19.50248 -18.58310 -19.23773 0.000000 *Note: p-values and any subsequent test results do not account for model selection. Appendix 4: Long run coefficients and bound test F-Bounds Test Test Statistic F-statistic k 64 | P a g e Null Hypothesis: No levels relationship Value 4.074243 5 Signif. I(0) I(1) 10% 5% 2.5% 1% Asymptotic: n=1000 2.08 2.39 2.7 3.06 3 3.38 3.73 4.15 Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LMCY LBDCY LDCCY LINFL RRATE C 1.249338 -0.583493 -0.020593 -0.032992 -0.016227 2.201809 1.140739 1.028186 0.105830 0.063143 0.010691 0.876111 1.095200 -0.567497 -0.194582 -0.522493 -1.517853 2.513162 0.2991 0.5829 0.8496 0.6127 0.1600 0.0307 EC = LGDP - (1.2493*LMCY -0.5835*LBDCY -0.0206*LDCCY -0.0330*LINFL -0.0162*RRATE + 2.2018) Appendix 5: Error correction regression ARDL Error Correction Regression Dependent Variable: D(LGDP) Selected Model: ARDL(2, 2, 2, 1, 1, 2) Case 2: Restricted Constant and No TrendDate: 10/15/23 Time: 12:45 Sample: 1992 2022 Included observations: 30 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LGDP(-1)) D(LMCY) D(LMCY(-1)) D(LBDCY) D(LBDCY(-1)) D(LDCCY) D(LINFL) D(RRATE) D(RRATE(-1)) CointEq(-1)* -0.028501 0.095512 -0.019670 -0.226085 -0.090359 -0.013434 0.031663 0.000739 0.002740 -0.421628 0.148104 0.109558 0.130520 0.117127 0.124234 0.017192 0.012981 0.001401 0.001973 0.062416 -0.192436 0.871797 -0.150706 -1.930244 -0.727326 -0.781366 2.439251 0.527667 1.388447 -6.755110 0.8513 0.4038 0.8832 0.0824 0.4837 0.4527 0.0349 0.6092 0.1951 0.0001 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood Durbin-Watson stat 0.879542 0.811784 0.013887 0.003086 80.61549 2.536693 65 | P a g e Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. 0.073190 0.032010 -5.431961 -4.948077 -5.292620 Appendix 6: Cusum test 10.0 7.5 5.0 2.5 0.0 -2.5 -5.0 -7.5 -10.0 12 13 14 15 16 17 CUSUM 18 19 20 21 5% Significance Appendix 7: Cusum of Squares 1.6 1.2 0.8 0.4 0.0 -0.4 12 66 | P a g e 13 14 15 16 17 18 19 20 21 Appendix 8: Q-stats Date: 05/15/23 Time: 13:41Sample: 1992 2022 Included observations: 30 Q-statistic probabilities adjusted for 2 dynamic regressors Autocorrelation Partial Correlation AC PAC 1 -0.253 -0.253 2 0.056 -0.009 3 -0.085 -0.078 4 0.069 0.031 5 -0.203 -0.189 6 -0.017 -0.132 7 -0.144 -0.198 8 0.012 -0.127 9 0.020 -0.027 10 -0.057 -0.147 11 0.098 -0.004 12 0.117 0.075 *Probabilities may not be valid for this equation specification. 67 | P a g e Q-Stat Prob* 1.8663 1.9608 2.1911 2.3474 3.7732 3.7842 4.5774 4.5832 4.6008 4.7467 5.2099 5.9205 0.172 0.375 0.534 0.672 0.583 0.706 0.711 0.801 0.868 0.907 0.921 0.920 Appendix 9: Autocorrelation Level 1 Date: 10/15/23 Time: 02:36Sample: 1992 2022 Included observations: 30 Autocorrelation Partial Correlation AC PAC Q-Stat Prob 1 0.903 0.903 2 0.812 -0.023 3 0.716 -0.072 4 0.622 -0.051 5 0.528 -0.055 6 0.434 -0.060 7 0.340 -0.070 8 0.245 -0.072 9 0.154 -0.054 10 0.066 -0.062 11 -0.016 -0.048 12 -0.094 -0.062 13 -0.166 -0.053 14 -0.232 -0.057 15 -0.290 -0.039 16 -0.333 -0.012 27.022 49.631 67.881 82.163 92.868 100.41 105.22 107.84 108.92 109.13 109.14 109.62 111.17 114.41 119.78 127.39 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 PAC Q-Stat Prob 1 0.439 0.439 2 0.399 0.256 3 0.249 0.008 4 0.174 -0.015 5 0.227 0.144 6 0.198 0.064 7 0.107 -0.094 8 0.073 -0.037 9 -0.004 -0.049 10 -0.045 -0.067 11 0.042 0.093 12 -0.157 -0.224 6.1974 11.504 13.642 14.732 16.668 18.206 18.673 18.901 18.902 18.996 19.083 20.386 0.013 0.003 0.003 0.005 0.005 0.006 0.009 0.015 0.026 0.040 0.060 0.060 1st difference Date: 10/15/23 Time: 02:40Sample: 1992 2022 Included observations: 29 Autocorrelation 68 | P a g e Partial Correlation AC Appendix 10: Jarque-Bera test 7 Seri es : Res i dua l s Sa mpl e 1994 2022 Obs erva ti ons 26 6 5 4 3 2 1 0 -2.0e-05 -1.0e-05 2.5e-11 1.0e-05 Appendix 11: Breusch-Godfrey Serial Correlation LM Test Breus ch-Godfrey Serial Correlation LM Tes t: Null hypothes is : No s erial correlation at up to 2 lags F-s tatis tic Obs *R-s quared 0.905205 6.911577 Prob. F(2,5) Prob. Chi-Square(2) 0.4618 0.0316 Tes t Equation: Dependent Variable: RESID Method: ARDL Date: 11/29/23 Tim e: 12:14 Sam ple (adjus ted): 1994 2022 Included obs ervations : 26 after adjus tm ents Pres am ple and interior m is s ing value lagged res iduals s et to zero. Variable Coefficient Std. Error t-Statis tic Prob. LGDP(-1) LGDP(-2) LDCCY LDCCY(-1) LDCCY(-2) LBDCY LBDCY(-1) LBDCY(-2) LMCY LMCY(-1) LMCY(-2) LINFL LINFL(-1) LINFL(-2) LRRATE LRRATE(-1) LRRATE(-2) C @TREND RESID(-1) RESID(-2) 0.003997 -0.003502 -4.36E-05 5.20E-05 -7.80E-05 -5.34E-05 0.000204 -0.000148 -2.20E-05 -0.000109 0.000101 -9.91E-06 2.08E-05 -1.17E-05 1.31E-05 -4.66E-06 5.31E-06 -0.004647 -1.27E-05 -0.344846 -0.935149 0.011892 0.010586 0.000129 0.000117 0.000129 0.000201 0.000377 0.000254 0.000217 0.000306 0.000244 5.02E-05 3.00E-05 2.63E-05 2.10E-05 1.26E-05 1.37E-05 0.013522 3.40E-05 0.523067 0.880061 0.336083 -0.330851 -0.338548 0.445522 -0.602850 -0.265452 0.539465 -0.582028 -0.101652 -0.357316 0.411684 -0.197416 0.693155 -0.444141 0.621305 -0.370524 0.386685 -0.343637 -0.373328 -0.659277 -1.062596 0.7505 0.7542 0.7487 0.6746 0.5729 0.8013 0.6127 0.5858 0.9230 0.7354 0.6976 0.8513 0.5191 0.6755 0.5616 0.7262 0.7149 0.7451 0.7242 0.5389 0.3366 R-s quared Adjus ted R-s quared S.E. of regres s ion Sum s quared res id Log likelihood F-s tatis tic Prob(F-s tatis tic) 69 | P a g e 0.265830 -2.670850 1.33E-05 8.78E-10 276.5494 0.090521 0.999967 Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. Durbin-Wats on s tat -8.21E-16 6.92E-06 -19.65765 -18.64149 -19.36503 2.629707 Mea n Media n Ma ximum Minimum Std. Dev. Skewnes s Kurtos is -8.21e-16 5.01e-07 1.23e-05 -1.92e-05 6.92e-06 -0.697415 3.984635 Ja rque-Bera Proba bility 3.157979 0.206183 Appendix 12: Heteroskedasticity Test: ARCH Heteroskedasticity Test: ARCH F-statistic Obs*R-squared 0.006867 0.007489 Prob. F(1,22) Prob. Chi-Square(1) 0.9347 0.9310 Test Equation: Dependent Variable: RESID^2 Method: Least Squares Date: 11/29/23 Time: 12:17 Sample (adjusted): 1995 2022 Included observations: 24 after adjustments Variable Coefficient Std. Error t-Statistic Prob. C RESID^2(-1) 4.87E-11 0.017688 2.04E-11 0.213440 2.385921 0.082869 0.0261 0.9347 R-squared Adjusted R-squared S.E. of regression Sum squared resid Log likelihood F-statistic Prob(F-statistic) 70 | P a g e 0.000312 -0.045128 8.54E-11 1.60E-19 523.4036 0.006867 0.934705 Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. Durbin-Watson stat 4.96E-11 8.35E-11 -43.45030 -43.35213 -43.42426 2.065547 Appendix 13: Ramset RESET test Ram s ey RESET Tes t Equation: UNTITLED Om itted Variables : Squares of fitted values Specification: LGDP LGDP(-1) LGDP(-2) LDCCY LDCCY(-1) LDCCY(-2) LBDCY LBDCY(-1) LBDCY(-2) LMCY LMCY(-1) LMCY(-2) LINFL LINFL(-1) LINFL(-2) LRRATE LRRATE(-1) LRRATE(-2) C @TREND t-s tatis tic F-s tatis tic Likelihood ratio Value 19.72572 389.1040 108.8721 df 6 (1, 6) 1 Probability 0.0000 0.0000 0.0000 Sum of Sq. 1.18E-09 1.20E-09 1.82E-11 df 1 7 6 Mean Squares 1.18E-09 1.71E-10 3.03E-12 F-tes t s um m ary: Tes t SSR Res tricted SSR Unres tricted SSR LR tes t s um m ary: Res tricted LogL Unres tricted LogL Value 272.5322 326.9683 Unres tricted Tes t Equation: Dependent Variable: LGDP Method: Leas t Squares Date: 11/29/23 Tim e: 12:17 Sam ple (adjus ted): 1994 2022 Included obs ervations : 26 after adjus tm ents Variable Coefficient Std. Error t-Statis tic Prob. LGDP(-1) LGDP(-2) LDCCY LDCCY(-1) LDCCY(-2) LBDCY LBDCY(-1) LBDCY(-2) LMCY LMCY(-1) LMCY(-2) LINFL LINFL(-1) LINFL(-2) LRRATE LRRATE(-1) LRRATE(-2) C @TREND FITTED^2 1.055638 -0.347817 -7.14E-05 -2.14E-05 6.14E-05 -7.81E-05 1.77E-05 0.000297 0.000108 3.76E-05 -0.000187 -2.42E-05 -1.68E-05 -1.52E-05 2.67E-07 1.40E-06 -1.55E-06 1.546247 -0.000597 0.014017 0.029707 0.015961 2.27E-05 1.25E-05 2.08E-05 2.70E-05 3.34E-05 8.24E-05 3.49E-05 3.41E-05 6.10E-05 7.12E-06 5.12E-06 3.93E-06 1.73E-06 1.88E-06 1.76E-06 0.067043 5.01E-05 0.000711 35.53556 -21.79237 -3.149047 -1.710799 2.954082 -2.897140 0.530326 3.601375 3.083319 1.101602 -3.062996 -3.400919 -3.277317 -3.870173 0.154199 0.745772 -0.883323 23.06345 -11.90478 19.72429 0.0000 0.0000 0.0198 0.1380 0.0255 0.0274 0.6149 0.0113 0.0216 0.3129 0.0221 0.0145 0.0169 0.0083 0.8825 0.4840 0.4111 0.0000 0.0000 0.0000 R-s quared Adjus ted R-s quared S.E. of regres s ion Sum s quared res id Log likelihood F-s tatis tic Prob(F-s tatis tic) 71 | P a g e 1.000000 1.000000 1.74E-06 1.82E-11 326.9683 7.37E+10 0.000000 Mean dependent var S.D. dependent var Akaike info criterion Schwarz criterion Hannan-Quinn criter. Durbin-Wats on s tat 10.36735 0.411972 -23.61295 -22.64518 -23.33426 2.356635 DATA 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 72 | P a g e LGDP 9.335651 9.452423 9.556975 9.651623 9.738082 9.817657 9.891364 9.960010 10.02424 10.08460 10.14152 10.19537 10.24647 10.29509 10.34145 10.38576 10.42819 10.46889 10.50799 10.54563 10.58190 10.61690 10.65072 10.68343 10.71511 10.74581 10.77560 10.80452 10.83264 10.85998 10.88660 LDCCY 4.510674 4.562558 4.615701 4.654028 4.659127 4.628549 4.641685 4.772162 4.762989 4.796367 4.577978 4.632471 4.725802 4.806339 4.934527 4.958795 4.835932 4.796572 4.821039 4.778877 4.829655 4.844418 4.858559 4.845786 4.823185 4.844426 4.776630 4.765812 4.692901 4.537119 4.523076 LBDCY 3.825779 3.757611 3.807505 3.828529 3.844151 3.909940 3.963212 3.970231 3.915630 3.972928 3.891148 3.943727 3.915964 3.995733 4.076306 4.127965 4.156622 4.100144 4.079015 4.117757 4.103484 4.083474 4.092602 4.126896 4.086834 4.083538 4.086624 4.094217 4.257521 4.219508 4.276666 LMCY 3.802601 3.726092 3.769181 3.784440 3.798645 3.858675 3.904005 3.917193 3.857870 3.940019 3.953500 3.987755 4.008121 4.090352 4.180894 4.263998 4.294495 4.244372 4.221989 4.217001 4.197958 4.174091 4.178044 4.209188 4.194371 4.191846 4.194449 4.205390 4.305641 4.252875 4.266199 LINFL 2.630067 2.273923 2.190373 2.161071 1.995262 2.151503 1.928699 1.645093 1.675030 1.740800 2.250735 1.736849 NA 0.724089 1.176778 1.820963 2.310015 1.976206 1.408479 1.609291 1.744783 1.755177 1.813168 1.513068 1.882726 1.645625 1.507885 1.415913 1.166282 1.528591 1.951569 LRRATE 1.295860 0.902065 1.659269 1.851190 2.365072 2.395155 2.540896 2.341331 1.583214 1.711695 1.048787 2.085405 1.599465 1.560560 1.570760 1.514258 1.908824 1.030515 1.250177 1.187630 1.356575 0.919982 1.271733 1.299576 1.187310 1.536290 1.809724 1.657029 0.645611 -0.255558 1.269076
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