Frontiers in Business, Economics and Management ISSN: 2766-824X | Vol. 7, No. 1, 2023 47 Does Digital Finance Promote Green Economic Growth? Yalan Xu School of Anhui Finance and Economics University, Bengbu, China Abstract: This paper constructs a balanced panel model of 285 cities in China to study the impact of digital finance on green economic growth. It is found that digital finance has a significant contribution to green economic growth. Green finance can increase green economic growth by promoting industrial structure upgrading. The contribution of green finance to green economic growth is higher in eastern cities and western cities than in the east. Digital finance has a significant threshold effect on green economic growth, and when the depth of digital finance exceeds the threshold value, the promotion effect of digital finance on green economic growth is greater. Keywords: Digital finance, Green economic growth, Mediating effect, Mechanism of action, Threshold model. 1. Introduction In 2021, China's GDP will grow by 8.1% over the previous year, and China's GDP will exceed 114 trillion yuan. However, along with the rapid economic growth, a large amount of ecological space has been squeezed and the ecological environment continues to deteriorate, especially the concentrated outbreak of environmental problems under the crude development mode, which has put the issue of sustainable economic development in front of the government and the public. According to the China Ecological Environment Status Bulletin, in 2019,180 cities exceeded ambient air quality standards, accounting for 53.4%. Therefore, how to achieve economic growth while taking into account environmental protection and resource conservation, and promote the green development of China's economy has become a difficult problem that the government must face. Existing research on green economic growth has suggested that scientific and technological innovation (Lorek and Spangenberg, 2014; Padilla-Pérez and Gaudin, 2014), industry structure (Boschma et al., 2017), and carbon emissions (Jianhua Yin, et al., 2015; Acemoglu et al. ,2016; Sohag,et al.,2019; Khan & Ulucak, 2020) are important enforcing factors for the development of green economic growth. Therefore, Financial development can promote green economic growth by reducing carbon emissions (Jalil & Feridun,2011; Mahmood et al., 2013) optimizing industrial structure (Wurgle,2000; Michalopoulos, 2015)and improving science and technology innovation(Thorsten, et al,2002). The level of green development in China has been at a relatively low level. Several scholars at home and abroad have explored the reasons affecting green economic growth. The first explanation stems from the government's behavior under the Chinese fiscal decentralization system (Daming You, et al, 2019), where the government's competitive behavior leads to serious resource allocation distortions and environmental pollution problems, and more seriously, the emergence of rent-seeking behavior that further inhibits green economic growth. Although rapid economic growth is achieved, environmental problems are ignored; the second explanation is called "Dutch disease", in which natural resource-rich regions inhibit green economic growth (Nagasaka, 1977), and resource-rich regions rely excessively on resource extraction to achieve economic growth, which leads to resource depletion and the formation of a "green economy". This leads to resource depletion, forming a "resource curse" and inhibiting green economic growth (Zhonghua Cheng, et al.,2020); the third explanation is: market segmentation. Market segmentation has a significant worsening effect on environmental pollution (Yuanchao Bian, et al. ,2019). The fourth explanation is carbon emissions. (Bailey, et al.,2014). There are also domestic and international studies on the relationship between digital finance and the economy. Wang,wanxin (2019) confirms that the application of digitalization can create certain benefits for venture capital; the application of digital technologies in the healthcare industry helps to reduce infrastructure costs, making healthcare services cheaper and more accessible, bringing benefits to people (Roberto and Donato, 2020). Through the above review, we found that digital finance has a big impact on the economy. Further, the contribution of digital finance to economic development is also significant. However, there are not many studies related to the impact of digital finance on the growth of green economy. Therefore, this paper establishes intermediary effect model and panel threshold model to analyze the influence of digital finance on China's green economic growth in detail. The marginal contribution of this paper lies in: in the first place, this paper constructs the mediation effect model to study the influencing mechanism of digital finance on green economic growth in China based on the effective measurement of China's green economic growth. Second, this paper analyzes in detail the heterogeneity of digital finance on green economic growth in eastern, central and western China. Third, this paper further investigates the threshold effect of digital finance on green economic growth in China. 2. Data and Empirical Model 2.1. Data sources The data in this paper come from two databases: digital finance from the "Digital Financial Inclusion Index of Peking University". The data of the explanatory variables, control variables and mediating variables are all from the China City Statistical Yearbook. Due to some missing data, the data in this paper include balanced panel data of 285 cities from 2011 to 2016.. 48 2.2. Variables 2.2.1. Dependent variable: Green economic growth This paper uses green total factor productivity as a proxy variable of green economic growth. The directional distance function (DDF) and Malmquist-Luenberger productivity index proposed by Chung et al. (1997) are used to measure total factor productivity under unintended output. The variables used to establish green economic growth in this paper are shown in Table 1. In this paper, the green economic growth variable is set as Green. Table 1. Green Total Factor Productivity Evaluation Index System category variable Data and Instructions unit Input Labor Number of people employed in each city that year thousands capital stock The capital stock is established by the perpetual inventory method, which is 100 million yuan. Kt=Kt-1*(1-δ)+It billion energy Energy input is measured by the annual standard coal consumption of each city Tons Output GDP With each city in those days actual gross national product will measure billion Undesirable output solid waste Output of industrial solid waste in each city that year Tons SO2 The amount of sulfur dioxide produced in each city that year Tons wastewater The discharge of industrial waste water in each city that year Tons 2.2.2. Explanatory variables: Digital finance The explanatory variables in this paper include the digital finance index (digfin) and its two dimensional indices. The two dimensional indices are the depth of digital finance usage index (digfin2) and the breadth of digital finance coverage index (digfin3). Two of the dimensional indices are used as data for robustness testing. The data were obtained from the Digital Financial Inclusion Index of Peking University (Guo Feng et al., 2020). 2.2.3. Mediating variable The mediating variable in this paper is industrial structural upgrading (isu). The formula for industrial structure upgrading is as follows: 3 2isu S / S (1) iS denotes the ratio of the output value of industry i to the total output value. This indicator mainly reflects the upgrading relationship among the three industries. a larger value of isu indicates a higher level of industrial structure development in the region, which also means a more advanced industrial structure in the region. 2.2.4. Control variable In this paper, the following control variables are used: post revenue (the ratio of local post revenue level to GDP), foreign investment level (the ratio of foreign investment amount to local GDP), financial development level (the ratio of financial loan balance to GDP), and human capital (the ratio of students receiving higher education to local population). The above four control variables indicators are set as: post, fdi, loan, and humcap. 2.3. Model First, we set up the panel regression model. The panel model is shown below. 0 1 2    it it it itGreen a a digfin a control  (2) itGreen stands for green economic growth; itdigfin stands for digital finance; i denotes city and t denotes year. it control is the control variable, ε it is the error disturbance term . Equation (2) reflects the direct impact mechanism of digital finance on the growth of the green economy. This paper introduces the mediating variable Industrial Structural Upgrading (isu) to further examine the potential indirect impact mechanism of digital finance on green economic growth. The mediating effect model constructed in this paper can be expressed as: 0 1 2     i t i t i t i tG r e e n a a d i g f i n a c o n t r o l (3) 0 1 2 o n t r     i t i t i t i ti b b d i g i t a l b c ou ls  (4) 0 1 2 3     i t i t i t i t i tG r e e n d i g i t a l i s u c o n t r o l     (5) To test whether digital finance has a non-linear effect on green economic growth, this paper uses the panel threshold model established by Hansen (2000) to do a non-linear mechanism examination. In this paper, we use the depth of digital finance (digfin2) as the threshold variable to examine the non-linear impact of data finance on green economic growth. This paper further constructs the threshold model based on equation (2) as shown below.          0 1 2 3q „   it it it it it it itGreen digfin digfin q cc c I c trolI c on (6) I(·) is an indicative function, the value of which depends on the relationship between the threshold variable and the threshold value γ. When ≤γ holds, the function value is 1, otherwise it is 0. 3. Empircal Results 3.1. Baseline results Table 2 displays the regression results for the panel fixed effects and random effects of the model. Meanwhile, the Hausman test was conducted in this paper, and the p-value of the results of the Hausman test was 0.0006, indicating that the fixed-effects model is more appropriate. From Table 2, it can be seen that digital finance has a facilitating effect on green 49 economic growth at the 99% significance level. Table 2. Baseline results Variables fe re digfin 0.0430*** 0.0492*** (0.0073) (0.0065) post 0.0154* 0.0263*** (0.0089) (0.0072) loans -0.0252 -0.0668*** (0.0171) (0.0121) humcap 0.000406 0.000909 (0.0031) (0.0029) fdi -0.142 -0.564** (0.3168) (0.2591) Constant term 0.231*** 0.129** (0.067) (0.0602) N 1710 1710 Standarderrors in parentheses;* p<0.1, ** p<0.05, *** p<0.01 3.2. Heterogeneity analysis In this paper, cities are divided into eastern, central and western cities for heterogeneity analysis of digital finance for green economy growth. Table 3 shows the results of the heterogeneity analysis. The contribution of digital finance to green economic growth in central cities is relatively small. Digital finance contributes relatively more to green economic growth in eastern and western cities. Table 3. Heterogeneous influence of digital finance on green economic growth digfin 0.0582** 0.0233** 0.0584*** (0.0115) (0.0102) (0.0191) post 0.00976 0.0237* 0.0215 (0.0156) (0.0131) (0.0191) loans 0.0121 0.0369* -0.146*** (0.0354) (0.0209) (0.0439) humcap 0.00139 -0.00558 0.00593 (0.0047) (0.0046) (0.0074) fdi 0.693** -1.016 -1.649 (0.3511) (0.7055) (1.7963) Constant term 0.199* 0.282*** 0.128 (0.1148) (.0999) (0.1485) Fixed Effect YES YES YES N 690 648 372 R-sq 0.0843 0.1501 0.1363 Standarderrors in parentheses;* p<0.1, ** p<0.05, *** p<0.01 Table 4. Mediating effect test Variables (1) (2) (3) Step1 Step2 Step3 digfin 0.0430*** 0.0662*** 0.0383*** (0.0073) (0.0055) (0.0077) isu 0.0697** (0.0349) post 0.0154* -0.00133 0.0155* (0.0089) (0.0067) (0.0088) loans -0.0252 0.230*** -0.0413** (0.0171) (0.013) (0.0188) humcap 0.000406 0.0260*** -0.00141 (0.0031) (0.0023) (0.0032) fdi -0.142 -0.329 -0.119 (0.3168) (0.2407) (0.3166) Constant term 0.231*** 3.510*** -0.0142 (0.067) (0.0509) (0.1396) Fixed Effect Yes Yes Yes N 1710 1710 1710 R-sq 0.1447 0.5098 0.1422 Standarderrors in parentheses; * p<0.1, ** p<0.05, *** p<0.01 50 3.3. Mechanism of inspection This paper constructs a mediating effect model to analyze whether digital finance can promote green economic growth by influencing industrial structure upgrading. Table 4 displays the regression results of the mediating effect model. Column (2) of Table 4 displays that digital finance has a positive influence on industrial structure upgrading at the 99% significance level. Column (3) of Table 4 displays that digital finance and industrial structure upgrading have a significant positive influence on green economic growth. This indicates that digital finance can promote green economic growth by influencing industrial structure upgrading. 3.4. Threshold effect analysis Referring to Hansen (2000), this paper uses the depth of digital finance use as a threshold variable to construct a threshold model to test whether digital finance has a nonlinear effect on green economic growth. Table 5 demonstrates the results of the double threshold effect test. Table 5 demonstrates that there is a single threshold effect at the 90% significance level. The threshold value is 5.1390. To better understand the estimation of the threshold value and the process of constructing confidence intervals, this can be done with the help of the likelihood ratio function plot, where the likelihood ratio function sequence LR( γ) is used as a trend plot for the threshold parameter, and when the likelihood ratio LR( γ) is 0, the threshold value is calculated as γ = 5.1390, as demonstrated in Figure 1, and the 95% confidence interval for γ is indicated below the dashed line. Table 5. Threshold effect test results Number of thresholds F-statistic P-value Threshold value Single Threshold 27.87 0.0867 5.1390 Double Threshold 8.65 0.8433 4.2726 Figure 1. Confidence interval of the single threshold model Table 6 shows the results of the panel threshold model regression. As can be seen from Table 6:Digital finance has a significant threshold effect on green economic growth when the depth of digital finance use (digifin2) is the threshold variable. Specifically, at the 99% significance level, the effect of digital finance on green economic growth is 0.0362 when the depth of digital finance use (digifin2) is less than 5.1390 and 0.0431 when the depth of digital finance use (digifin 2) is greater than 5.1390.This indicates that when the depth of digital finance use (digifin2) is depth (digifin 2) is higher, the greater the contribution of digital finance to green economic growth. The threshold effect of digital finance on green economic growth arises because when the depth of digital finance use exceeds a certain threshold, digital finance has a better contribution to the upgrading of industrial structure and thus better promotes green economic growth. Table 6. Regression results of threshold model Variables Digfin2<5.1390 Digfin2>51390 digfin 0.0362*** (0.0074) digfin 0.0431*** (0.0072) post 0.0147* 0.0147* (0.0088) (0.0088) loans 0.0346** 0.0346** (0.017) (0.017) humcap 0.00445 0.00445 (0.0032) (0.0032) fdi 0.0341 0.0341 (0.3151) (0.3151) Fixed Effect YES YES N 1710 1710 Constant term 0.229*** 0.229*** -0.0665 -0.0665 51 3.5. Robustness checks In this paper, we use depth of digital financial usage (digfin2) and breadth of digital financial coverage (digfin3) to replace the core parsing variables for robustness testing. Table 7 demonstrates the results of the robustness tests. Both depth of financial usage (digfin2) and breadth of digital financial coverage (digfin3) have a significant contribution to green economic growth. This indicates that the results of this paper are robust. Table 7. Robustness test results Variables (1) (2) digfin2 0.0375*** (0.0075) digfin3 0.0299*** (0.0064) Controls YES YES Fixed Effect YES YES Constant term 0.244*** 0.290*** (0.0681) (0.0653) N 1710 1710 R-sq 0.1524 0.155 Standarderrors in parentheses; * p<0.1, ** p<0.05, *** p<0.01 4. Conclusion This paper constructs a balanced panel model of 285 cities in China to study the impact of digital finance on green economic growth. It is found that: first, digital finance has a significant contribution to green economic growth. Second, green finance can enhance green economic growth by promoting industrial structure upgrading. Third, green finance has a higher contribution to green economic growth in eastern cities and western cities than in the east. Finally, digital finance has a significant threshold effect on green economic growth, and when the depth of digital finance exceeds the threshold, the promotion effect of digital finance on green economic growth is greater. The results of the study have the following policy implications: first, accelerate the development of digital finance, enhance the coverage of digital financial services, and promote a balanced distribution of financial resources. Second, the government should formulate policies to further improve the development of digital finance in central and western China. By formulating effective digital finance policies, it will in turn improve the level of green economic growth and high-quality economic development. References [1] Bailey, et al. " Making sense of the gren economy." Geografiska Annaler (2014). [2] Daming You, et al."Environmental regulation and firm eco- innovation: Evidence of moderating effects of fiscal decentralization and political competition from listed Chinese industrial companies." Journal of Cleaner Production 207.(2019):. doi:10.1016/j.jclepro.2018.10.106. [3] Daron Acemoglu, et al."Transition to Clean Technology." 124.1(2016):. doi:10.1086/684511. [4] Guo, F., J. Wang, F. Wang, T. Kong, X. Zhang, and Z. Cheng. 2020. “Measuring the Development of Digital Inclusive Finance in China: Index Compilation and Spatial Characteristics.” China Economic Quarterly 19 (4): 1401–1418. [5] Jalil Abdul,and Feridun Mete."The impact of growth, energy and financial development on the environment in China: A cointegration analysis." Energy Economics 33.2(2010):. doi:10.1016/j.eneco.2010.10.003. [6] Jianhua Yin, et al."The effects of environmental regulation and technical progress on CO 2 Kuznets curve: An evidence from China." Energy Policy 77.(2015):. doi:10.1016/j.enpol.2014.11.008. [7] Kazi Sohag, et al."Green economic growth, cleaner energy and militarization: Evidence from Turkey." Resources Policy 63.(2019):. doi:10.1016/j.resourpol.2019.101407. [8] Khan D , Ulucak R . How do environmental technologies affect green growth? Evidence from BRICS economies[J]. Science of The Total Environment, 2020, 712:136504. [9] Michalopoulos, S. , R. Levine , and L. A. Laeven . "Financial Innovation and Endogenous Growth." Journal of Financial Intermediation 24(2015). [10] Muhammad Shahbaz, et al."Does financial development reduce CO 2 emissions in Malaysian economy? A time series analysis." Economic Modelling 35.(2013):. doi:10.1016/j.econmod.2013.06.037. [11] Nagasaka. “The Economist,1977, November 26, pp.82-83. [12] Ramón Padilla-Pérez, ,and Yannick Gaudin."Science, technology and innovation policies in small and developing economies: The case of Central America." Research Policy 43.4(2014):. doi:10.1016/j.respol.2013.10.011. [13] Roberto Moro Visconti, ,and Donato Morea. "Healthcare Digitalization and Pay-For-Performance Incentives in Smart Hospital Project Financing." International Journal of Environmental Research and Public Health 17.7(2020):. doi:10.3390/ijerph17072318. [14] Ron Boschma, et al."Towards a theory of regional diversification: combining insights from Evolutionary Economic Geography and Transition Studies." Regional Studies 51.1(2017):. doi:10.1080/00343404.2016.1258460. [15] Sylvia Lorek, ,and Joachim H. Spangenberg."Sustainable consumption within a sustainable economy – beyond green growth and green economies." Journal of Cleaner Production 63.(2014):. doi:10.1016/j.jclepro.2013.08.045. [16] Thorsten, et al. "Industry growth and capital allocation:: does having a market- or bank-based system matter?." Journal of Financial Economics (2002). doi:10.1016/S0304- 405X(02)00074 [17] Wanxin Wang, et al."The evolution of equity crowdfunding: Insights from co-investments of angels and the crowd." Research Policy .(2019):. doi:10.1016/j.respol.2019.01.003. 52 [18] Wurgler, J. A. . "Financial Markets And The Allocation Of Capital." Ssrn Electronic Journal (1999). [19] Y.H. Chung, et al."Productivity and Undesirable Outputs: A Directional Distance Function Approach." Journal of Environmental Management 51.3(1997). doi:10.1006/jema. 1997.0146. [20] Yuanchao Bian, et al. "Market segmentation, resource misallocation and environmental pollution." Journal of Cleaner Production 228.(2019):. doi:10.1016/j.jclepro. 2019.04.286 [21] Zhonghua Cheng, et al. "Natural resource abundance, resource industry dependence and economic green growth in China." Resources Policy 68.(2020):. doi:10.1016/j.resourpol.2020.101734.c