4.2. Linear vs Nonlinear Relationship in the Banking Concentration–Financial Inclusion Nexus
As an initial step, financial inclusion was regressed on the variables represented in Equation (1) using the system GMM.
Table 4,
Table 5 and
Table 6 show the results for all three financial inclusion measures. The first column shows the three-bank concentration results, and the second column shows the results for the five-bank concentration ratio as a measure of concentration. The nonlinear regression results confirm that the nonlinear model better captured the relationship between banking concentration and financial inclusion. The thresholds identified for all financial inclusion measures suggest that the relationship was negative below the threshold but became positive above it. This U-shaped relationship is consistent with
Owen and Pereira (
2018) and
Avom et al. (
2021), indicating that banking concentration can only enhance financial inclusion in sufficiently concentrated markets.
The analysis shows mixed results for the relationship between banking concentration and financial inclusion. There was a positive relationship for account ownership, consistent with
Owen and Pereira (
2018) and
Geraldes et al. (
2022).
Owen and Pereira (
2018) found that industry concentration was positively correlated with account ownership. Similarly,
Geraldes et al. (
2022) demonstrated that banking concentration is a necessary condition for financial inclusion, as measured by account ownership. This result can be explained by the ability of larger banks in concentrated markets to provide a diverse range of accounts and expand branch networks into underserved areas. However, as the nonlinear analysis below notes, this positive relationship was only observed above a given threshold.
In the linear models, savings and loans exhibited a negative relationship with banking concentration. This finding aligns with
Chinoda and Kapingura (
2023) and
Chauvet and Jacolin (
2017), who demonstrated that banking concentration negatively impacts financial inclusion due to monopolistic behaviours or inefficiencies. The results of
Chauvet and Jacolin (
2017) are only applicable in highly inclusive financial systems. These outcomes are supported by the market power and quiet life hypotheses, which suggest that large banks in concentrated markets tend to set high interest rates, resulting in the exclusion of marginal borrowers. These high interest rates can result from the lazy attitude of banks, as suggested by the quiet life hypothesis, or simply from the exercise of market power. Moreover, large banks also tend to offer low interest rates on deposits which, can raise the opportunity cost of savings, leading to marginal consumers opting to use alternative systems for savings.
Additionally, large banks also offer complex product portfolios, which could deter marginal users who struggle to navigate or trust these offerings.
Chauvet and Jacolin (
2017) suggest that this effect is compounded in economies where institutions are weak, so regulating large banks is difficult. The effect of institutional variables was tested in the dynamic threshold models below. The results indicate that the five-bank thresholds are sensitive to corruption, property rights, and mobile phone penetration.
4.2.1. Concentration Threshold
Three key results stand out from the nonlinear regression. First, the results confirm that the nonlinear model best fit the data. Thresholds were identified for all dependent variables, and all the thresholds were significant at the 1% level. The linearity tests validated this conclusion. All the linearity tests were significant at the 1% level. Second, the relationship between the various measures of financial inclusion and banking concentration was negative below the threshold and positive above the threshold. The results are presented in
Table 7,
Table 8,
Table 9,
Table 10,
Table 11 and
Table 12. Third, savings and loans were sensitive to institutional variables, but account ownership was not.
4.2.2. Threshold Effects and Mobile Phone Penetration
The effect of mobile phone penetration on the banking concentration–financial inclusion relationship varied across the three financial inclusion measures. The thresholds for account ownership, savings, and loans reveal the complex dynamics of the banking concentration–financial inclusion nexus. The significance of mobile phone penetration reflects the transformative role of mobile technology in driving financial inclusion, particularly in contexts with limited traditional banking infrastructure.
The thresholds for account ownership were very high, implying that banking concentration generally had a negative effect on access to bank accounts. The estimated thresholds suggest that banking concentration was negatively associated with account ownership at concentration levels lower than 82% and positively associated at levels higher than that for the three-bank concentration ratio. The threshold rose to just over 90% for the five-bank concentration ratio. These ratios were above the sample average concentration ratios of 72% and 85% for the three-bank and five-bank concentration ratios, respectively. The results suggest that competition is good for access to bank accounts. Mobile phone penetration had no significant influence on the thresholds, as account ownership is largely necessity-driven in sub-Saharan Africa. Many individuals hold accounts to receive wages or salaries, making mobile technology less critical in this context (
Demirgüç-Kunt et al., 2022;
Simatele & Maciko, 2022).
The thresholds for savings were relatively low, with the base threshold at just over 56% for the three-bank concentration ratio. In contrast to account ownership, savings were significantly influenced by mobile phone penetration. This effect was evident in the five-bank concentration model. Mobile phone penetration lowered the concentration thresholds for savings in the five-bank concentration model from 91% to 74%. This effect reflects the role of mobile phone penetration in facilitating digital saving platforms, such as mobile money. These platforms provide accessibility in countries where traditional banking infrastructure is limited. However, the fact that this variable had no significant influence in the three-bank concentration model demonstrates the restricting implications of concentrated banking and mobile network partnerships, which may limit access for marginal customers.
The relationship between banking concentration and loans is somewhat different. Including mobile phone ownership significantly influenced the thresholds in both the competitive (five-bank concentration models) and non-competitive (three-bank concentration models) environments. In the three-bank concentration model, mobile phone ownership raised the threshold from 56% to 78%, and it lowered it from 99% to 77% in the five-bank concentration model. Essentially, the threshold for loans was the same for both measures of concentration. This effect reflects the critical role that mobile technology has played in facilitating access to credit. Digital platforms, particularly those linked to mobile money services, have increasingly bridged gaps in credit provision, enabling more individuals and small businesses to access loans.
4.2.3. Threshold Effects and Institutional Quality
Institutional factors, such as corruption, property rights, and regulatory quality, significantly affect the thresholds for savings and loans. These variables influence the operational environment of banks, affecting their ability to extend financial services and the extent to which banking concentration promotes or hinders financial inclusion. For account ownership, institutional variables had no significant impact on the thresholds. As alluded to, this likely reflects the necessity-driven nature of account ownership in sub-Saharan Africa. For instance, the corruption index increased the benefit threshold for savings to over 77% from 56%. This result underscores the role of transparency and accountability in mitigating the negative impacts of banking concentration.
This finding suggests that weak institutional environments exacerbate information asymmetries, deterring individuals from engaging with formal savings mechanisms. The corruption variable measures transparency and accountability in the public sector and could be interpreted as a proxy for the role played by information asymmetries. With that in mind, this result would suggest that information asymmetry problems undermine the benefits of competition in the banking sector, as implied by Chauvet and Jacolin, 2017. Trust in banks is undermined in poorly governed systems, and individuals often turn to informal savings methods, such as rotating savings and credit groups. Conversely, stronger institutions foster transparency and accountability, enabling banks to attract savers and lower the concentration thresholds required for positive impacts on savings.
For loans, institutional variables also play a significant role in moderating the relationship between banking concentration and financial inclusion. The thresholds for the five-bank concentration ratio were notably high, at 99%, but they were significantly lowered when the property rights index was incorporated. The threshold was reduced to 80%. Hence, strong property rights reduce the negative impacts of banking concentration by fostering trust and reducing barriers to credit access. For example, strong property rights create a favourable environment for lending by enhancing collateral security and encouraging banks to extend credit to a broader base of borrowers. On the other hand, weak property rights exacerbate credit risks, forcing banks to restrict lending or charge higher interest rates, disproportionately affecting marginal borrowers.
4.3. Discussion
The findings highlight the critical role of nonlinear dynamics and contextual factors in the banking concentration–financial inclusion nexus. While high levels of banking concentration can enhance financial inclusion, this relationship is contingent on surpassing specific thresholds. Moreover, the benefits of concentration depend on enabling factors, such as mobile phone penetration and strong institutional quality.
The strong effect of mobile phone ownership in this relationship underlines the increasingly important role that mobile phones play in African financial markets. The relationship between banking concentration and financial inclusion becomes positive at very high concentration levels in an environment with high mobile phone ownership. The rapid uptake of mobile accounts in sub-Saharan Africa may explain this phenomenon. Mobile money accounts have rapidly grown in sub-Saharan Africa and have increased financial inclusion in many countries (
Demirgüç-Kunt et al., 2022). The high concentration threshold required for financial inclusion to benefit from concentration, in this case, could be influenced by the fact that in most of these countries, both banking and mobile network sectors are highly concentrated. Often, mobile network operators provide mobile money through relationships with existing banks. This symbiotic relationship between network operators and banks could result in closing up access for marginal users in the savings and loan markets. For example, in some countries, such as South Africa, only banks can issue electronic money. Such regulations reinforce the relationship between network operators (who are often the agents that issue mobile money) and banks, resulting in limited access to alternative digital financial services.
The thresholds for the five-bank ratios were more sensitive to moderating variables. This characteristic was observed for both savings and loans. If we assume that five-bank ratios imply higher levels of competition, we can argue that more competitive banking sectors create an environment in which the relationship between financial inclusion and banking concentration is more likely to be positive if there are higher levels of mobile phone penetration and strong property rights.
Avom et al. (
2021) found a similar result and showed that the threshold of benefit when they used mobile phones as the threshold variable was higher. High mobile phone penetration, therefore, can only mitigate the impact of banking concentration on financial inclusion in more competitive environments.
The role of institutional quality is particularly evident in competitive banking sectors, as reflected in the five-bank concentration models. Higher levels of competition amplify the positive effects of strong governance, enabling financial inclusion to improve even at lower concentration thresholds, suggesting that banks can operate more efficiently and inclusively in environments with better institutional frameworks, regardless of market concentration levels. While account ownership is less affected by governance factors due to its necessity-driven nature, savings and loans are highly sensitive to institutional quality. Strengthening governance structures such as property rights, transparency, and regulatory quality can significantly lower the barriers to financial inclusion.