International Journal of Islamic Economics and Finance (IJIEF) Vol. 4(SI), page 87-120, Special Issue: Islamic Banking An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth1 Muhammad Yusuf Ibrahim Tazkia Islamic University College, Indonesia Corresponding email: muhammad.ibrahim@student.tazkia.ac.id Indra Tazkia Islamic University College, Indonesia, indradata@gmail.com Article History Received: November 21th, 2020 Revised: January 22nd, 2021 Accepted: March 12th, 2021 Abstract The research is aim to attest and assess empirically the contribution of Islamic banking (IBs) on the inclusive growth in Indonesia. By taking a trial-stage method i.e. descriptive analysis to elaborate a statistical data, autoregressive distributed lag (ARDL) model to assess empirically the contribution in a long-term, and error correction model (ECM) to assess the contribution in a short-term empirically. The findings are, total deposits and total financing only contribute positively significant into GDP and gini ratio in a long-term, that similiar with the previous study. Then, a total financing contribute negatively to all indicators of inclusive growth in a long-term, but, its only significance on GDP and gini ratio. But, it was contribute significantly to all indicators in a short-term. So. The findings was only evidence the significance contribution of IBs on inclusive growth in a short-term. Based on it, a long-term contribution of IBs still cathegorized as the area that requires an extentions in order to accomplish it. Keywords: Islamic Banking (IBs), Inclusive Growth, Poverty, Empirical Analysis JEL Classification: G18, G21, I31, I32, I38 Type of paper: Research Paper @ IJIEF 2021 published by Universitas Muhammadiyah Yogyakarta, Indonesia All rights reserved DOI: https://doi.org/10.18196/ijief.v4i0.10342 Web: https://journal.umy.ac.id/index.php/ijief/article/view/10342 Citation: Ibrahim, M. Y., & Indra. (2021) An empirical analysis of Islamic banking (IBs) contribution to Indonesia’s inclusive growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120. DOI: https://doi.org/10.18196/ijief.v4i0.10342. 1 The research was funded by Bank Indonesia Institute through research grant fund program of Bank Indonesia 2020. mailto:muhammad.ibrahim@student.tazkia.ac.id https://doi.org/10.18196/ijief.v4i0.10 https://doi.org/10.18196/ijief.v4i0.10475 https://crossmark.crossref.org/dialog/?doi=10.18196/ijief.v4i0.10342&domain=pdf Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│88 I. Introduction 1.1. Background Islamic banking was a financial institution that operates based on Islamic principles and it has grown massively in Indonesia since 1992 (Ismal, 2010; Al Nasser & Muhammed, 2013). By the average annual growth of assets which up to 51.11% since 2000-2010 and its still growin up (Ascarya, 2010). Recorded in June 2020, total assets of Islamic banking in Indonesia reached Rp356.33 trillion (OJK, 2020). Means, it was increased rapidly than June 2010 which only Rp78.14 trillion or it is equal to 456.015% in the past 10 years. With that growth, Islamic banking should has contributed to Indonesian economic improvement and growth. As in other countries and it has been proven by a several studies.2 And it was shown to has a contribution to GDP as noted in El Ayyubi, et al. (2017). However, it is not enough if the role of Islamic banking was only measured by GDP. Because the goals of Islam was not only an exclusive economy, but the inclusiveness or precisely is falah (prosperity) (Ismail & Shaikh, 2017). So, this analysis will takes an inclusive growth as a measurement of falah. Completing a GDP which cannot illustrated an economic dynamic exhaustively (Pietak, 2014). Inclusive growth alone, officially adopted in Indonesia at 2010. Even though, the concept was only developed in 2004 by UNDP (United Nation Development Program). And currently, it was developed by international organizations (Kusumawati, Elhorst, & Haan, 2016). Wherein this concept, the economy is not only measure by GDP. But also measured by poverty, employment, and income distribution as formulated by world bank and IMF (Anand, Mishra, & Peiris, 2013; Kusumawati, et al., 2016). By measuring those instruments, the ideal condition in economy could be achieved. Because it is measuring the economy broadly as stated by Suryanarayana (2013). So, the concept in line with prosperity goals. Hence, inclusive growth is compatible to be used to measure an Islamic banking contribution on economy. Therefore, the current research will analyze the contribution of Islamic banking (IBs) due to an economic through an inclusive growth. It is considered appropriate with an Islamic goals on economics. And this research is the complementation of a previous research, Abd.Majid & Kassim (2015). Which analyze a contribution of Islamic banking (IBs) to the country’s economy, but only measured from GDP. While the current research has improved a measurement of country’s economy by inclusive growth. 2 Al-Yousif (2002), Vaithilingam, et al. (2005), Habibullah & Eng (2006), Ibrahim (2007), Cordow, et al. (2011) and Abd.Majid & Kassim (2015). Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│89 Besides it, the current research is also aim to verify the statement of previous study with similiar topic, that is, Susilo (2015). Which stated that Islamic financial inclusion has no contribution to the inclusive growth in Indonesia, even thought it was not proven empirically. So, the current research will attest it empirically. But it will focus on Islamic banking (IBs) to narrow the discussion down and adapt it to the current research goals. In essence, the research will attest and assess the contribution of Islamic banking (IBs) to an inclusive growth in Indonesia through an empirical approach to accomplish a previous researchs at this topic. 1.2. Objectives The purposes of the research are to enriching the analysis and literature of Islamic finance and prosperity of growth which representated by an inclusive growth in case of Indonesia. And also to attest and assess the contribution of Islamic banking (IBs) to inclusive growth. By dual specific objectives, as follows; RO1: Analyzing a relationship between Islamic banking (IBs) and inclusive growth based on statistical data RO2: Attesting and assessing a contribution of Islamic banking (IBs) to an inclusive growth in Indonesia II. Literature Review The research consist of a several theoretical background which associated to a financial literature topic. Specifically, involve with an Islamic banking (IBs) and Inclusive growth theory, as follows: 2.1. Islamic Banking (IBs) and The Indicators An analyzed Islamic banking (IBs) was an Indonesian Islamic banks. Then, to adjust it with an analytical goals, the indicators which will be used to measure it are total deposits and total financing of Islamic banking (IBs). Where the election of those instruments has adapted from a previous research, Abd.Majid & Kassim (2015). Although on the research, there are five indicators, that is total deposits, total financing, Islamic stock index, inflation in term of consumer price index, and export-import. But, the research analyze the Islamic banking and financial institutions (IBFIs). So, it was using five indicators to measure it. While, the current research was only focus to analyze the Islamic banking (IBs). So, the indicators which will be used at this analysis was only two, that is total deposits and total financing. And the election of the indicators has been reviewed be based on a several previous study. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│90 Such as total deposits which was reinforced by Ayuniyyah, et al., (2013) and Zirek, et al., (2016) as an indicator of Islamic banking (IBs). Then also for a compability of total financing as the other indicator of Islamic banking (IBs) as proven in Dhaoui (2018). So, based on that reinforcement, it can be assumed that the instrument has compable to be an Islamic banking (IBs) indicators at this analysis. Furthermore, the research is not only presents an evidence of a compability of those indicators. But, it also provide a rationale of the elemination of the other indicators, apart from differences in research object. The rationale of an indicators elimination rfom a previous research was based on t he statement of a several study. As stated in Ayuniyyah, et al., (2013) that export-import and inflation has no correlation with Islamic banking (IBs). Then, for an Islamic stock market, although, it was proven that Islamic stock market has a correlation with Islamic banking (IBs), but when the instrument included as an indicator at this analysis. A discussion will not focus on Islamic banking (IBs) to the inclusive growth. So, to narrow down an analysis into Islamic banking (IBs). Then, the instruments will not included in the analysis. And by the indicators election and elimination, the research will be more efficient and appropriate with an objectives of a research. 2.2. Inclusive Growth and The Indicators Inclusive growth is an ideal wealth management concept which can measure an economy exhaustively (Lee, 2018). It is also called by shared growth, broad-based growth, or pro-poor growth (Suryanarayana, 2013). The concept was discussed by an international organizations and policy makers. But it was first developed by United Nations Development Program (UNDP) in 2004, and adopted by Indonesia in 2010 (Kusumawati, et al., 2016). As an introduction, it will be briefly explained about inclusive growth. Felipe (2012) defines an inclusive growth as an ideal condition that can be achieved when all of society participate and contribute together. And the statement was similar with Anand, et al. (2013) which stated the inclusive growth uses all economic instruments to achieved it. Means, it is measure an economy exhaustively. And the overview of the concept has suggested by a several international organizations. Even though, there are still a disagreement of a measurement indicators of it. But a several instrument was planned as an indicators by an international organizations, as listed on a Table 1. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│91 Table 1. Inclusive Growth Indicators International Organizations Indicators World Bank - Economic Growth - Poverty - Employment ADB - Economic Growth - Equal Opportunity - Broader Access for Participate - Stange Social Safety Nets IMF - Economic Growth - Income Distribution EU Commission - Economic Growth - Employment - Education - Poverty UNDP - Economic Growth - Equality on Income Distribution - Opportunity to Participate and have Benefir from Growth OECD - Economic Growth - Household Income - Health Status - Jobs Based on table 1, there are plenty indicators which has proposed by different organizations. But, this analysis will uses an indicators for an inclusive growth which consider to world bank and IMF proposal. The election of the indicators with world bank and IMF proposal basis was because of an analytical topic. Where the research is about a financial literature, so, the reference that considered appropriate to be used at this analysis is a financial institutions or organizations. Therefore, the indicators of inclusive growth at this analysis are economic growth, poverty, employment, and income distribution. And each indicators has its own measurement. At this analysis, the instrument which will be used to measure an economic growth is GDP. It is because GDP has been agreed internationally as a tool as measurement of an economic growth (Wesselink, et al., 2007; Haller, 2012; Edeme, 2018) Then, poverty indicators will be representated by a poverty rate. Because, it has been a standard to measure a poverty (Eberstadt, 2008). Apart from being a standard, a poverty rate was also proven illustrates the growth on income side (Akinbobola & Saibu, 2004). And the other indicator of inclusive growth is employment, which will be measured by unemployment rate. Then, the last indicator is an income distribution which basically intend to measure an inequality. So, the gini ratio will be used to Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│92 measure it (Catalano, et al., 2009). Where the compability of those instrument has been reinforced by a several research, that is Farris (2010), Brauninger (2002) and Onodugo, et al. (2017). 2.3. Previous Research The research was adapted and developed from Abd.Majid & Kassim (2015), which analyze the contribution of Islamic banking and financial institutions (IBFIs) on economic growth. But, the research was only use GDP as a sole indicator of growth. Even though, its not enough to measure an economic exhaustively (Pietak, 2014; Ivkovic, 2016). Therefore, an inclusive growth has been selected as an indicators to measure an economic condition at this analysis. Besides it, there are several research which discuss a similiar topic with current research. That is, Doumbia (2008), which analyze the inclusive growth on good governance side. Lee (2008), although the study was only a qualitative research which use a descriptive analysis and literature method. Then Sengupta (2010) which states that inclusive growth was a solution to measure the economy in detail to equality problem. And the other research is Suryanarayana (2013) which analyze the inclusive growth in term of the wealth distribution, including a banking sector as a medium of distribution. But, the research was only uses a descriptive analysis. Means, the study was non-empirical analysis. So as with the research of Susilo (2015) which analyze the effect of Islamic financial institution in alleviating a poverty. And states that Islamic financial inclusion (including Islamic banking) has no effect on poverty alleviation which is a part of inclusive growth But the statement still does not evidence empirically. Because the resaerch only use a literature study and a descriptive analysis. So, the current analysis is prepared to analyze the statement and evidence it empirically. 2.4. Conceptual Framework The Following is a conceptual framework which has arranged based on Polancic (2008) model. The framework contain an analyzed variables, indicators, measurement and methodology. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│93 Figure 1. Conceptual Framework of Research The research analyze the Islamic banking contribution to inclusive growth. Where, both of variables has its own indicators. Where Islamic banking explained by total deposits and total financing. While, the indicators of inclusive growth consist of GDP, poverty rate, unemployment rate, and gini ratio. Where the selection of the Islamic banking indicators refer to Abd.Majid & Kassim (2015) with some modification (election and elimination of indicators). And the inclusive growth indicators was quoted from world bank and IMF model proposal, and it is reinforced by Anand, et al. (2013), Kusumawati, et al., (2016) and Muhammad & David (2019) as a theoritical background. III. Methodology 3.1. Research Data The research will analyze the contribution of Islamic banking (IBs) on inclusive growth. So, a variable that will be analyzed are total deposits and total financing as an indicators of Islamic banking (IBs). And use a GDP, poverty rate, unemployment rate, and gini ratio as an indicators of inclusive growth. That Whose the data has been collected from reliable sources. Where the data of total deposits and financing of Islamic banking has been collected from OJK’s (financial services authority of Indonesia) website. While, a data of inclusive growth indicators has collected from the website of ministry of trade of Indonesia and central bureau of statistics Indonesia. Which arranged in time series form, starting from 2010 to 2019. But, a collected data still in annual, semiannual, or quarterly. So, in order to balance a data and facilitate an analysis, the data was interpolated into a mothly data based on polynomial approach. Its aim to estimate an intermediate value between a predertemined data points (Jia, 2017). But for Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│94 a data of GDP which appled manufacture production index as a proxy of that instrument. And balancing an analyzed time series data in the same time interval measure. 3.2. Indicators Description Indicator description is described in table 2 Table 2. Indicators Description Variable Islamic Banking (IBs) Indicators Deposits Financing Descriptions For a bank, deposits was a key tools of a financing project. Which in practice is used as a financing capital by a bank (Onyema & Odeiem-Ogulu, 2019). And, in Islamic banking (IBs), deposits was divided into four scheme, that is wadi’ah (save keeping) deposit, mudharabah (profit sharing) deposit, tawarruq (benevolent) deposit, and qard (cost plus save) deposit (Aris, et al., 2013). Financing is a provision of funds for a business project agreed by two parties. It causes one party to have obligations to the other for a certain period (Kasmir, 2005). And also can be applied personally or without institutional bacground (Rivai & Arifin, 2010). Where in Islamic banking (IBs), the it has been devided of two type based on the segment. Based on consumer segment, a financing was consist of four product. That is, house financing, personal financing, vehicle financing, and staff financing. Then, about a financing which based on corporate segment are consist of, trade financing, asset-based financing, and corporate investment (Aris, et al., 2013). Variable Inclusive Growth Indicators Economic Growth Poverty Measurement GDP Poverty Rate Descriptions Economic growth was a complex phenomenon of a country that monitored from population, resources, infrastructure, and the management of government (Haller, 2012). And its usually measured by GDP, as a measure that has been recognized internationally (Edeme, 2018). A poverty can be defined as a deficiency in wealh distribution by a government into a household. And the limitation of household’s basic needs fulfillment (Mowafi & Khawaja, 2005). A poverty rate will be used to measure it (Goedhart, et al., 1977). And in Indonesia alone, a poverty line was measured based on basic needs approach (BPS, 2020). Indicators Employment Income Distribution Measurement Unemployment Rate Gini Ratio Descriptions The waste of resources which leads to a reduction in the prospect for a long- run growth and reduces a welfare of a country. Thus causing an expansion of fiscal costs for the government (Chowdhury & Zuk, 2018). Therefore, the government takes a measure to monitor unemployment in its territory. And use the unemployment rate as agreed by international organizations and the majority of countries (ILO, 2015). Income distribution was an important instrument that influences a people’s cohesion and iy also determines an inequality. When an income doesn’t distribute equally, so, an inequality will be exist in a society (Stewart, 2000). Therefore, gini ratio will be used to measure it. Because, a gini ratio was an index which works to measure an equality of wealth distribution of a country. And served in statistical summary (Farris, 2010). Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│95 3.3. Model Development This research is an adaptation and development of Abd.Majid & Kassim’s (2015) research. By taking a similar topic, but narrowed it down to Islamic banking (IBs). While Abd.Majid & Kassim’s (2015) was analyze an Islamic financial literature in a broader discussion, that is, Islamic banking and financial institutions (IBFIs). And another difference lies in a research geographical bondaries. Where a previous research takes Malaysia as a geographical bondaries, but, the current research takes Indonesia of its case. Furthermore, there is a difference of an analytical object. Where it doesn’t analyze the economic growth, but substitute it into inclusive growth as a measure of country’s economic. It is intended as an improvement of a previous research. Because after a review, an economic growth was inappropriate to measure an economy based on Islamic economic goals. So, an inclusive growth has been selected as a measure of economy because it is in line with Islamic economic goals. And based on the reasonings, the research has been complied. With the aim, to analyze the contribution of Islamic banking as like as previous research, but on different object, that is, inclusive growth. 3.4. Method In line with RO (research objectives), this research will use a mixed method. By combining a descriptive analysis methods as an application of qualitative approach. Then, an autoregressive distributed lag (ARDL) and error correction model (ECM) model as a tools of quantitative analysis. Means, the analysis use quad-stage method model. The first method i.e. descriptive analysis, works to answer RO1 of the research. Then, ARDL and ECM will be used to answer RO2. But, before applying it, the methods will be briefly explained, as follows; 3.4.1. Descriptive Analysis Theoritically, descriptive analysis was a method which is used to describe a phenomenon of a research. And it was the most used in a research (Adams, Khan, & Raeside, 2007). Where the use is intended to elaborate a statistical data and composing an analytical assumption. And the data will be served in a substative form (Hart, 1998; Ibrahim, et al., 2019). Consider to this explanation, the method is appropriate to use in answering RO1. 3.4.2. Autoregressive Distributed Lag (ARDL) Model Autoregressive distributed lag model or referred to as ARDL, was a method introduced by Pesaran & Shin (1995) (Hamzah & Handri, 2017), that is used Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│96 in a single equation of dynamic regression. And it has a work to analyze a time series data in a long-term econometrical approach (Hassler & Wolters, 2005). It was a method which compatible to estimate a co-integration of variables. It can capture a dynamic relationship of variables by the existence of lag. So, it will cause a flexibility on a different lag of variables in endogenous and exogenous variables. The model can also analyze the effect of exogenous variables on each lag in different time intervals (Zaretta & Yovita, 2019). The method is applied to answer RO2, i.e. to attest and assess the contribution of Islamic banking (IBs) to inclusive growth. Therefore, its required an empirical method such as ARDL to answer it. But the use of ARDL was only ro evidence the contribution of analyzed variables in a long- term. 3.4.3. Error Correction Model (ECM) Error correction model (ECM) at this analysis has a work to accomplish an ARDL method in asnwer RO2. Where application of ECM will streghtening the result of ARDL in answering RO2. ECM firstly introduced by Dennis Sargan in 1950, then popularized by Eangle-Granger (1987) (Alogoskoufis, 1991). And defined as a method which has a function to adjust an instrument and mantain it, in order to make a research get near to its desired result (Phillips, 1957). Which in practice, ECM imposes a linier homogenity of researched variables (Pagan, 1985). So, the method will accomplish ARDL method. That in this analysis, ECM will use to assess the cointegration of variables in a short-term. Such as in (Tulak, Junaidi, & Utami, 2017). 3.5. Model Specification As explained above, the research will use ARDL and ECM to answer an empirical analysis of RO2. So, the formulation or model specification of the models is required. Therefore, this research has been provide it. The first is ARDL model. But the research formulated the model based on Varquez et al. (2012). Its because a traditional model is considered inapplicable anymore. So, it requires an alternative model which can estimate an hypothetical procudure maximally (Johansen, 1992). Therefore, a developed model of ARDL by Varquez et al. (2012) has been selected to formulate a research hypothesis of ARDL at this research. And the following are the model; Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│97 𝐿𝐼𝑁𝐶𝑖,𝑡 = ∝ + ∑ 𝛽𝑖, 𝑗 𝑝1 𝑗=1 𝐿𝐺𝐷𝑃𝑖=𝑡,𝑗 + ∑ 𝛽𝑖, 𝑗 𝑝2 𝑗=2 𝐿𝑃𝑅𝑖=𝑡,𝑗 + ∑ 𝛽𝑖, 𝑗 𝑝3 𝑗=3 𝐿𝑈𝑅𝑖=𝑡,𝑗 + ∑ 𝛽𝑖, 𝑗 𝑝4 𝑗=4 𝐿𝐺𝑅𝑖=𝑡,𝑗 + ∑ ∅1𝑗 𝑞1 𝑗=0 𝑙𝑛𝑇𝐷𝑡−𝑗 + ∑ ∅2𝑗 𝑞2 𝑗=0 𝑙𝑛𝑇𝐹𝑡−𝑗 … (1) By a several specifications, as follows; 𝐿𝐺𝐷𝑃𝑖,𝑡 = ∝ + ∑ 𝛽𝑖, 𝑗 𝑝1 𝑗=1 𝐿𝐺𝐷𝑃𝑖=𝑡,𝑗 + ∑ ∅1𝑗 𝑞1 𝑗=0 𝑙𝑛𝑇𝐷𝑡−𝑗 + ∑ ∅2𝑗 𝑞2 𝑗=0 𝑙𝑛𝑇𝐹𝑡−𝑗 ... (2) 𝐿𝑃𝑅𝑖,𝑡 = ∝ + ∑ 𝛽𝑖, 𝑗 𝑝2 𝑗=1 𝐿𝑃𝑅𝑖=𝑡,𝑗 + ∑ ∅1𝑗 𝑞1 𝑗=0 𝑙𝑛𝑇𝐷𝑡−𝑗 + ∑ ∅2𝑗 𝑞2 𝑗=0 𝑙𝑛𝑇𝐹𝑡−𝑗 ... (3) 𝐿𝑈𝑅𝑖,𝑡 = ∝ + ∑ 𝛽𝑖, 𝑗 𝑝3 𝑗=1 𝐿𝑈𝑅𝑖=𝑡,𝑗 + ∑ ∅1𝑗 𝑞1 𝑗=0 𝑙𝑛𝑇𝐷𝑡−𝑗 + ∑ ∅2𝑗 𝑞2 𝑗=0 𝑙𝑛𝑇𝐹𝑡−𝑗 ... (4) 𝐿𝐺𝑅𝑖,𝑡 = ∝ + ∑ 𝛽𝑖, 𝑗 𝑝4 𝑗=1 𝐿𝐺𝑅𝑖=𝑡,𝑗 + ∑ ∅1𝑗 𝑞1 𝑗=0 𝑙𝑛𝑇𝐷𝑡−𝑗 + ∑ ∅2𝑗 𝑞2 𝑗=0 𝑙𝑛𝑇𝐹𝑡−𝑗 ... (5) Where; 𝐿𝐼𝑁𝐶𝑖.𝑡 = Natural Logarithm of Inclusive Growth as measured by GDP, poverty rate, unemployment rate, and ginir ratio 𝐿𝐼𝑁𝐶𝑖,𝑡 = 𝑙𝑛 [ 𝐼𝑁𝐶𝑖,𝑡 1− 𝐼𝑁𝐶𝑖,𝑡 ] 𝐿𝐺𝐷𝑃𝑖.𝑡−𝑗 = Natural Logarithm of GDP 𝐿𝑃𝑅𝑖.𝑡−𝑗 = Natural Logarithm of Poverty Rate 𝐿𝑈𝑅𝑖.𝑡−𝑗 = Natural Logarithm of Unemployment Rate 𝐿𝐺𝑅𝑖.𝑡−𝑗 = Natural Logarithm of Gini Ratio 𝑙𝑛𝑇𝐷𝑡−𝑗 = Natural Logarithm of Total Deposits of Islamic Banking 𝑙𝑛𝑇𝐹𝑡−𝑗 = Natural Logarithm of Total Financing of Islamic Banking Then, the cointegration of each exogenous variables would be determined in a long term and short term, and the representative variables of inclusive growth added up by the value of estimation coefficient (∅𝑖 ) of each the exogenous variables. Then the chain rules would be used to determine the cointegration of the shock of each exogenous variables due to untransformed GDP, poverty rate, unemployment rate, and gini ratio which would be evaluated by the sample of inclusive growth’s average. Then, after an ARDL estimation, the model will be estimate by ECM method with a model specification as follows; Short term effect; ∆𝐼𝑁𝐶𝑖 ∆𝑋𝑖𝑛𝑐 = 𝐼𝑁𝐶𝑖 𝑥 (1 − 𝐼𝑁𝐶̅̅ ̅̅ �̅� ) 𝑥 ∑ ∅𝑘,𝑡−𝑗𝑞𝑖𝑛𝑐 … (6) Where; (∅𝑖 ) = Estimated value of exogenous variables coefficient 𝑋𝑖𝑛𝑐 = Way of exogenous variables cointegrate inclusive growth INC = Endogenous Variables; Inclusive growth By following elaboration, that is, , 𝑋𝑖𝑛𝑐 means, how the exogenous variables (Islamic banking (IBs) variable and its indicators) cointegrate INC (Inclusive Growth variable and its indicators) which classified in the average of the average of inclusive growth to i in observation. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│98 3.6. Stage of Analysis Regarding to the explanation above, the research uses mixed method which consist of trial-stage method model. By the following stages sequence; 1) Descriptive analysis that works to elaborate a statistical data and composing an analytical assumption. And to answer RO1. 2) Unit root test, to seek a constancity of data’s mean and variant of each lags (Gujarati, 2003). And it will be tested based on Augmented Dickey Fuller (ADF) test and the automatic lag will be selected by Schwartz Information Criterion (SIC) approach. 3) Lag determination, an important stage to seek the best model of ARDL (Bahmani-Oskooee & Bohl, 2000). The test will apply F-bound test of ARDL long bound testing. 4) Breusch-Godfrey serial correlation LM Test, to ensure that there are no violations of econometric principles by the selected model and test the suitability of the model that has been selected to be estimated at a later stage. 5) Autoregressive distributed lag (ARDL) model test, to attest and assess the cointegration between Islamic banking (IBs) and inclusive growth in a long-term. (To answer RO2) 6) Error correction model (ECM), to attest and assess the cointegration between Islamic banking (IBs) and inclusive growth in a short-term. (To answer RO2) Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│99 IV. Results and Analysis 4.1. Statistical Description Graph 1 Total Deposits of Islamic Banking Graph 2 Total Dinancing of Islamic Banking Graph 3 Gross Domestic Product (GDP) Graph 6 Gini Ratio Graph 4 Poverty Rate Graph 5 Unemployment Rate Figure 2. Graphics of Research Data Source: OJK’s website and processed by researcher Figure 2 shows a statistical condition of the data. Where a graph 1 and graph 2 represent the growth of total deposits and total financing of Islamic banking (IBs). And statistically, the graph shows an excellent growth of IBs indicators. That is, the growth are progressive with percentage of growth of 180.2% in total deposits and 166,8% in total financing since December 2015 to December 2019. As it increases, a data of GDP is also show a fairly steady inrease as presented on a graph 3. Which of the same time interval, GDP has increase of 136.7%. With annual growth average of 108,4% since 2015.3 But, the other indicators has a contrary trend of the growth. Where the trend is a decrease, as shown in graph 4, 5, and 6. Although, a graph 6 as an illustration of gini ratio condition has a volatile decrease. But overall, gini ratio decreased steadly sence 2015. As like as poverty rate and unemployment rate that was shown by graph 4 and graph 5.4 Based on those explanation, it can be concluded that a data of IBs indicators increases as like as GDP. Along with it, a poverty rate, unemployment rate, and gini ratio has decreased. So, the movement of data in the graph shows a relationships that can be an assumption of the research. And those statistical data indicate a several assumption of the analysis, that is; Islamic banking 3 Data sourced from Ministry of Trade website and processed by researcher 4 Data sourced from Central Bureau of statistics. 0 50 100 150 200 250 300 350 400 450 Ja n -1 0 S e p -1 0 M a y -1 1 Ja n -1 2 S e p -1 2 M a y -1 3 Ja n -1 4 S e p -1 4 M a y -1 5 Ja n -1 6 S e p -1 6 M a y -1 7 Ja n -1 8 S e p -1 8 M a y -1 9 0 50 100 150 200 250 300 350 400 450 Ja n -1 0 N o v -1 0 S e p -1 1 Ju l- 1 2 M a y -1 3 M a r- 1 4 Ja n -1 5 N o v -1 5 S e p -1 6 Ju l- 1 7 M a y -1 8 M a r- 1 9 0,36 0,37 0,38 0,39 0,4 0,41 0,42 0 0,1 0,2 0,3 0,4 0,5 0,6 0 2 4 6 8 0 500000 1000000 1500000 2000000 2500000 3000000 3500000 4000000 4500000 2 0 1 0 /1 2 0 1 0 /4 2 0 1 1 /3 2 0 1 2 /2 2 0 1 3 /1 2 0 1 3 /4 2 0 1 4 /3 2 0 1 5 /2 2 0 1 6 /1 2 0 1 6 /4 2 0 1 7 /3 2 0 1 8 /2 2 0 1 9 /1 2 0 1 9 /4 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│100 (IBs) has a positive relation with GDP. And vice versa on poverty rate, unemployment rate, and gini ratio. But, the assumption doesn’t valid yet. And it requires an evidence by an empirical analysis. So, to clarify the assumption, this research will analyze the relations of those variables empirically. And the analysis will applied triple-stage model of empirical method, that is, ARDL and ECM as stated in a further discussion. 4.2. Econometrical Result This econometrical estimation is aim to asnwer RO2 by estimate the model specifications, which consist of ARDL and ECM models. But before it, there are a several testing prerequisites that need to be met. Firstly, it is started from stationary test by unit root test. The test works to determine whether the data are stationary or should be differenced to render it (Hatanaka, 1995). Where in this analysis, this estimation is applied augmented Dickey- Fuller (ADF) test by Schwartz information criterion (SIC). Augmented Dickey- Fuller (ADF) test estimates the hypothesis of time series data in against the alternatives (I(0) to I(1)) (Said & Dickey, 1984; Elliot, et al., 1996). And SIC has selected because SIC is the best approach to reflect a consistency of ARDL model (Pesaran & Shin, 1995). Table 3. Unit Root Test Level LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -3.914 -5.265 11.208 -1.687 -1.347 -0.851 1st difference LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -4.472 -15.478 -7.314 -2.382 -7.286 -1.776 2nd difference LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -7.936 -8.617 -10.189 -10.489 -7.718 -9.854 Test Critical Value 1% level -3.486551 5% level -2.886074 10% level -2.579931 Table 3 show that the variables has a unit root at level and 1st difference. So, it is requires the other differentiation of a stanionary test. It is causing the election of 2nd difference of stationarity. And the finding show that the data become stationary of 2nd difference. It is shown by ADF test statistic value which < test critical value of all level significantions (Elliot, et al., 1996). Means, the data has met the requirement to estimate by ARDL and ECM (Alogoskoufis, 1991; Pesaran & Shin, 1995). After finds the stationarity, then, the lag testing by F-bound test will be applied to seek a best model of ARDL. The following are the results; Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│101 Table 4. Lag Determination Signif. I(0) I(1) Lag Length Computed F-Statistics Asymptotic: n=1000 LNGDP LNPR LNUR LNGR 10% 2.63 3.35 1 (1,1,1) 14.98285 3.726793 2.093083 6.924682 5% 3.1 3.87 2 (2.2,2) 7.478574 2.140897 3.416080 4.449665 2,50% 3.55 4.38 3 (3,3,3) 4.904855 1.918977 4.757787 3.364842 1% 4.13 5 4 (4,4,4) 5.377741 1.932132 5.827458 3.203494 Consider to table 4, it can be known that the findings are varies on a significance levels. But majority of model are significant on lag lenght 3. In detail, LNGDP was significance on lag lenght 3 in 1% level significance. LNPR was significance on lag lenght 1 with 2,5% and 5% level significance. LNUR was significance of lag lenghts 2 and 3 on all significance levels but 10%. And the last model is LNGR, that significance on all lag lenghts but 1, in 1% and 5% levels significance. So, based on it, the lag lenght 1 and 3 has been selected to estimate the equation (1), that was divided into 4 equation models (2, 3, 4, and 5). Because, the lag lenght was the highest significance model of F-Statistics. Which specifically, lag lenght 3 was used to estimate an model 2, 4, and 5. While, the lag lenght 1 is works to estimate an equation model 3. When the hughest significance of lag lenghts has been found, the estimation will be continued to long run co-integration test by ARDL. But to ensure the result, the autocorrelation test is required. So, at this stage, Breush-Godfrey serial correlation LM test. it is aim to ensure that there are no violations of econometric principles by the selected model and test the suitability of the model that has been selected to be estimated at a later stage. In short, it is used to seek the autocorrelation problem of a data. The result is described on Table 5. Table 5. Breush-Godfrey serial correlation LM test LNGDP LNPR Breusch-Godfrey Serial Correlation LM Test: F- statistic 2.260935 Prob. F(3,102) 0.0859 Obs*R- squared 7.295163 Prob. Chi- Square(3) 0.0631 Breusch-Godfrey Serial Correlation LM Test: F- statistic 1.278748 Prob. F(3,102) 0.2857 Obs*R- squared 4.240895 Prob. Chi- Square(3) 0.2366 LNUR LNGR Breusch-Godfrey Serial Correlation LM Test: F- statistic 0.775215 Prob. F(3,102) 0.5105 Obs*R- squared 2.608185 Prob. Chi- Square(3) 0.4561 Breusch-Godfrey Serial Correlation LM Test: F- statistic 0.771925 Prob. F(3,102) 0.5123 Obs*R- squared 2.597362 Prob. Chi- Square(3) 0.4580 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│102 Table 6. Long-Run Form of ARDL model LNGDP (3,3,3) LNPR (1,1,1) LNUR (3,3,3) LNGR (3,3,3) Coefficient Prob Coefficient Prob Coefficient Prob Coefficient Prob LNTD 1.208674 0.0000 -26.76932 0.8646 -0.086862 0.4785 -0.307593 0.0014 LNTF -0.821624 0.0000 28.27025 0.8646 -0.128297 0.3243 0.298745 0.0036 C 5.870713 0.0000 -7.622406 0.8646 0.097103 0.0000 -0.861864 0.0000 Table 7. Error Correction Model Test Result LNGDP (3,3,3) LNPR (1,1,1) LNUR (3,3,3) LNGR (3,3,3) CointEq(-1) -0.069720 -0.002629 -0.124950 -0.044565 Prob 0.0000 0.0002 0.0000 0.0003 The result of Breush-Godfrey serial correlation LM test indicates that the data has no autocorrelation because the value of prob.chi-square > test critical value of 5%. Therefore, the requirements for ARDL test has been met. The analysis can be continued to the ARDL test stage. The result is described on Table 6. Based on table 6, it was found that LNTD and LNTF has a significant cointegration to LNGDP (3,3,3) and LNGR (3,3,3) in a long-term, but not to LNPR (1,1,1) and LNUR (3,3,3). With the following specifications; LNTD has a positive cointegration to LNGDP, LNPR, and LNGR, but vice versa on LNUR. Then, LNTF has a negative cointegration to all of models (LNGDP, LNPR, LNUR, LNGR) in a long-run. Then, to find the short-run cointegration which has been formulated in equation model (6). And the models will be estimated by error correction model. The ECM result estimation has served in Table 7. Previously, the long-term cointegration has been interpreted by ARDL model. So, at this analysis, the short-term cointegration will be interpreted by ECM as served in table 7. The findings shows there is a significant short-term cointegration of variables. Interpreted by CointEq(-1) and Prob value that < critical value of 5%. Based on the result, it can be concluded that LNTD and LNTF cointegrate significantly to LNGDP (3.3.3), LNPR (1,1,1), LNUR (3,3,3), and LNGE (3,3,3) in a short-term. Then the findings will be reinforced by a robust test as a last stage of this empirical analysis. 4.3. Analysis The findings shows the relationship of variables by a several specifications. That are, the relationship that provide the contribution of Islamic banking (IBs) indicators to an inclusive growth indicators. Where in a long-term, total deposits of Islamic banking has a positive contribution to GDP, poverty rate, and gini ratio. And contribute negatively to unemployment rate. While, total Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│103 financing of Islamic banking (IBs) contribute negatively into all of inclusive growth indicators. But those indicators was only significant on GDP and gini ratio as represented in table 6 above. Then, table 7 has served the result of the Islamic banking (IBs) contribution to an inclusive growth indicators in a short-term. And the findings evidence that Islamic banking (IBs) has contribute significantly on an inclusive growth in a short-term. It is led the raise of GDP, the decrease of poverty rate and gini ratio by the Islamic financing of IBs, and the decline of unemployment rate when a total deposits and financing of IBs increase. Means, IBs was contribute significantly in achieve the goals of inclusive growth. And it was parallel with a research assumption of statistical description, but only in a short-term. While in a long-term, the increase of total deposits of IBs causes the GDP increase. But it also causes the increase of poverty rate and gini ratio. Even though, IBs’s total deposits decreases an unemployment rate. Then, a poverty rate, unemployment rate, and gini ratio will decrease when total financing of IBs increase. But it is only significance on gini ratio in a long-term relationship. So, in a long-term case, it can be concluded that Islamic banking indicators was only contribute significantly to GDP and gini ratio, and not to the other inclusive growth indicators. Means, the statements was answered the RO2, but it can’t fulfill the assumption of statistical description of the research. V. Conclusion and Recommendation 5.1. Conclusion The research empirically explores the contribution of Islamic banking (IBs) to an inclusive growth in a long-term and short-term. By taking a case on Indonesia since 2010 to 2019. The analysis applies a trial-stage method to answer the objectives. The methods are a descriptive analysis to describe a statistical data, ARDL to answer the contribution in a long-term, and ECM to answer the contribution in a short-term. Based on those methods, the research finds a robust conclusion. The conclusion is, a total deposits has a significant positive contribution on gini ratio in a long-term. An increase of poverty caused by an increase of total deposits can be assumed as wealth accumulation. So that the money can’t circulate inclusively among a society. When a total deposits increase without being followed by the allocation of a maximum and inclusive distribution of financing causes money to circulate in one place and can’t touch another class of society, thus causing an increase in the poverty rate. Then, a total financing contribute negatively on it. So, it can’t be fulfill the assumption of statistical description. Even though, a total financing also Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│104 evidenced contribute negatively on poverty and unemployment rate, but the contribution is unsignificant. Whereas, in a short-term, IBs has evidence to has a relationship with inclusive growth. And the relationship or contribution are significance. In this case, the findings of a short-term estimation was in line with a research assumption and a previous research, Abd.Majid & Kassim in term of GDP. While, in a poverty, unemployment, and gini ratio context, the result has rejected the statement of Susilo (2015), when it compared by the result in a short-term. But the rejection wasn’t valid in a long-term analytical result. So, as a closing conclusion, IBs has contribute significantly on inclusive growth in a short-term, but it doesn’t roundly applies in a long-term. 5.2. Recommendation The findings of this analysis was only evidence the significance contribution of IBs on inclusive growth in a short-term. Based on it, a long-term contribution of IBs still cathegorized as the area that requires an extentions in order to accomplish it. And it is consider to refining this analytical literature. Specifically, consider to the findings on total financing, to upgrade the contribution of IBs on poverty and unemployment in a long-term, IBs is requires to develop a program that focus on society’s economical improvement and refinement. It can be attained properly if IBs has its own Islamic social finance institutions. Where, IBs has an authority to manage its own ZISWAF funds. Therefore, an empowerment and improvement program by IBs will be more focused. Besides it, practically and theoritically, zakat, infak, and shodaqoh was focus on a poverty and economic equality. Moreover when it is applied in IBs which has a large total deposits and a complete of customer data. So, the practice of Islamic social funds management will be implemented maximally through of IBs. By its condition, it will be easier to achieve an inclusive growth in Indonesia. And it is an efficient recommendation to upgrade the contribution of IBs in achieve the goals of inclusive growth in Indonesia at this time. Therefore, The government needs to issue a policy to realize it. So that the banks has the authority to implement this program to support inclusive economic growth in Indonesia. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│105 References Adams, J., Khan, H. T., Raeside , R., & White, D. (2007). Research method for graduate business and social science students. SAGE Publications India. Akinbobola, T. O., & Saibu, M. O. (2004). Income inequality, unemployment,and poverty in Nigeria: a vector autoregressive approach. The Journal of Policy Reform 7(3), 175-183. Al Nasser, S. A., & Muhammed, D. D. (2013). 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International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│109 Appendix Attachment 1 Unit Root Test Level LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -3.914 -5.265 -11.208 -1.687 -1.347 -0.851 1st difference LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -4.472 -15.478 -7.314 -2.382 -7.286 -1.776 2nd difference LNTD LNTF LNGDP LNPR LNUR LNGR ADF Test Statistic -7.936 -8.617 -7.098 -10.489 -7.718 -9.854 Test Critical Value 1% level -3.486551 5% level -2.886074 10% level -2.579931 Level Null Hypothesis: LNTD has a unit root Exogenous: Constant Lag Length: 1 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -3.914580 0.0026 Test critical values: 1% level -3.486551 5% level -2.886074 10% level -2.579931 *MacKinnon (1996) one-sided p-values. Null Hypothesis: LNTF has a unit root Exogenous: Constant Lag Length: 2 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -5.265553 0.0000 Test critical values: 1% level -3.487046 5% level -2.886290 10% level -2.580046 *MacKinnon (1996) one-sided p-values. Null Hypothesis: LNGDP has a unit root Exogenous: Constant Lag Length: 2 (Automatic - based on SIC, maxlag=12) Augmented Dickey- Fuller test statistic -11.20885 0.0000 Test critical values: 1% level Test critical values: 1% level 5% level 5% level 10% level 10% level *MacKinnon (1996) one-sided p-values. Null Hypothesis: LNPR has a unit root Exogenous: Constant Lag Length: 7 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -1.687943 0.4346 Test critical values: 1% level -3.489659 5% level -2.887425 10% level -2.580651 *MacKinnon (1996) one-sided p-values. Null Hypothesis: LNUR has a unit root Exogenous: Constant Lag Length: 6 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Null Hypothesis: LNGR has a unit root Exogenous: Constant Lag Length: 7 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│110 Augmented Dickey- Fuller test statistic -1.347866 0.6052 Test critical values: 1% level -3.489117 5% level -2.887190 10% level -2.580525 *MacKinnon (1996) one-sided p-values. Augmented Dickey- Fuller test statistic -0.851480 0.8000 Test critical values: 1% level -3.489659 5% level -2.887425 10% level -2.580651 *MacKinnon (1996) one-sided p-values. 1st Difference Null Hypothesis: D(LNTD) has a unit root Exogenous: Constant Lag Length: 2 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -4.472811 0.0004 Test critical values: 1% level -3.487550 5% level -2.886509 10% level -2.580163 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNTF) has a unit root Exogenous: Constant Lag Length: 0 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -15.47899 0.0000 Test critical values: 1% level -3.486551 5% level -2.886074 10% level -2.579931 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNGDP) has a unit root Exogenous: Constant Lag Length: 10 (Automatic - based on SIC, maxlag=12) Augmented Dickey- Fuller test statistic -7.314160 0.0000 Test critical values: 1% level Test critical values: 1% level 5% level 5% level 10% level 10% level *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNPR) has a unit root Exogenous: Constant Lag Length: 6 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -2.382851 0.1489 Test critical values: 1% level -3.489659 5% level -2.887425 10% level -2.580651 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNUR) has a unit root Exogenous: Constant Lag Length: 5 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -7.286072 0.0000 Test critical values: 1% level -3.489117 5% level -2.887190 Null Hypothesis: D(LNGR) has a unit root Exogenous: Constant Lag Length: 12 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -1.776506 0.3903 Test critical values: 1% level -3.493129 5% level -2.888932 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│111 10% level -2.580525 *MacKinnon (1996) one-sided p-values. 10% level -2.581453 *MacKinnon (1996) one-sided p-values. 2nd Difference Null Hypothesis: D(LNTD,2) has a unit root Exogenous: Constant Lag Length: 10 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -7.936952 0.0000 Test critical values: 1% level -3.492523 5% level -2.888669 10% level -2.581313 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNTF,2) has a unit root Exogenous: Constant Lag Length: 4 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -8.617001 0.0000 Test critical values: 1% level -3.489117 5% level -2.887190 10% level -2.580525 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNGDP,2) has a unit root Exogenous: Constant Lag Length: 12 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -7.098192 0.0000 Test critical values: 1% level -3.493747 5% level -2.889200 10% level -2.581596 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNPR,2) has a unit root Exogenous: Constant Lag Length: 5 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -10.48964 0.0000 Test critical values: 1% level -3.489659 5% level -2.887425 10% level -2.580651 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNUR,2) has a unit root Exogenous: Constant Lag Length: 6 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -7.718318 0.0000 Test critical values: 1% level -3.490210 5% level -2.887665 10% level -2.580778 *MacKinnon (1996) one-sided p-values. Null Hypothesis: D(LNGR,2) has a unit root Exogenous: Constant Lag Length: 11 (Automatic - based on SIC, maxlag=12) t-Statistic Prob.* Augmented Dickey- Fuller test statistic -9.854007 0.0000 Test critical values: 1% level -3.493129 5% level -2.888932 10% level -2.581453 *MacKinnon (1996) one-sided p-values. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│112 Attachment 2 Lag Determination Signif. I(0) I(1) Lag Length Computed F-Statistics Asymptotic: n=1000 LNGDP LNPR LNUR LNGR 10% 2.63 3.35 1 (1,1,1) 14.98285 3.726793 2.093083 6.924682 5% 3.1 3.87 2 (2.2,2) 7.478574 2.140897 3.416080 4.449665 2,50% 3.55 4.38 3 (3,3,3) 4.904855 1.918977 4.757787 3.364842 1% 4.13 5 4 (4,4,4) 5.377741 1.932132 5.827458 3.203494 Lngdp F-Bounds Test Lag 1 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 14.98285 10% 2.63 3.35 K 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 2 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 7.478574 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 3 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 4.904855 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 4 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 5.377741 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 Lnpr F-Bounds Test Lag 1 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 3.726793 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 2 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 2.140897 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 3 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 1.918977 10% 2.63 3.35 k 2 5% 3.1 3.87 F-Bounds Test Lag 4 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 1.932132 10% 2.63 3.35 k 2 5% 3.1 3.87 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│113 2.5% 3.55 4.38 1% 4.13 5 2.5% 3.55 4.38 1% 4.13 5 Lnur F-Bounds Test Lag 1 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 2.093083 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 2 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 3.416080 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 3 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 4.757787 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 4 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 5.827458 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 Lngr F-Bounds Test Lag 1 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 6.924682 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 2 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 4.449665 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 3 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F-statistic 3.364842 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 F-Bounds Test Lag 4 Null Hypothesis: No levels relationship Test Statistic Value Signif. I(0) I(1) Asymptotic: n=1000 F- statistic 3.203494 10% 2.63 3.35 k 2 5% 3.1 3.87 2.5% 3.55 4.38 1% 4.13 5 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│114 Attachment 3 BLGM Test Result LNGDP LNPR Breusch-Godfrey Serial Correlation LM Test: F- statistic 2.260935 Prob. F(3,102) 0.0859 Obs*R- squared 7.295163 Prob. Chi-Square(3) 0.0631 Breusch-Godfrey Serial Correlation LM Test: F- statistic 1.278748 Prob. F(3,102) 0.2857 Obs*R- squared 4.240895 Prob. Chi-Square(3) 0.2366 LNUR LNGR Breusch-Godfrey Serial Correlation LM Test: F- statistic 0.775215 Prob. F(3,102) 0.5105 Obs*R- squared 2.608185 Prob. Chi-Square(3) 0.4561 Breusch-Godfrey Serial Correlation LM Test: F- statistic 0.771925 Prob. F(3,102) 0.5123 Obs*R- squared 2.597362 Prob. Chi-Square(3) 0.4580 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│115 Attachment 4 Long Run Form and Bound Test LNGDP LNPR LNUR LNGR Coefficient Prob Coefficient Prob Coefficient Prob Coefficient Prob LNTD 1.754424 0.4202 -26.76932 0.8646 -0.086862 0.4785 -0.307593 0.0014 LNTF -1.563738 0.4460 28.27025 0.8646 -0.128297 0.3243 0.298745 0.0036 C -0.474859 0.7705 -7.622406 0.8646 0.097103 0.0000 -0.861864 0.0000 ARDL Long Run Form and Bounds Test Dependent Variable: D(LNGDP) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 08:16 Sample: 2010M01 2019M12 Included observations: 117 Conditional Error Correction Regression Variable Coefficient Std. Error t-Statistic Prob. C 0.409306 0.098830 4.141503 0.0001 LNGDP(-1)* -0.069720 0.017404 -4.006034 0.0001 LNTD(-1) 0.084269 0.022815 3.693486 0.0004 LNTF(-1) -0.057284 0.017260 -3.318855 0.0012 D(LNGDP(- 1)) 0.736592 0.092560 7.957952 0.0000 D(LNGDP(- 2)) -0.045390 0.097630 -0.464923 0.6429 D(LNTD) 0.023630 0.028943 0.816427 0.4161 D(LNTD(-1)) -0.076626 0.030286 -2.530073 0.0129 D(LNTD(-2)) -0.000940 0.027984 -0.033573 0.9733 D(LNTF) -0.020204 0.019709 -1.025116 0.3077 D(LNTF(-1)) 0.028275 0.023511 1.202619 0.2318 D(LNTF(-2)) 0.009717 0.020096 0.483535 0.6297 * p-value incompatible with t-Bounds distribution. Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LNTD 1.754424 0.160304 7.539909 0.0000 LNTF -1.563738 0.171570 -4.788861 0.0000 C -0.474859 0.149479 39.27437 0.0000 EC = LNGDP - (1.2087*LNTD -0.8216*LNTF + 5.8707 ) ARDL Long Run Form and Bounds Test Dependent Variable: D(LNPR) Selected Model: ARDL(1, 1, 1) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 08:17 Sample: 2010M01 2019M12 Included observations: 119 Conditional Error Correction Regression Variable Coefficient Std. Error t-Statistic Prob. C -0.020042 0.013009 -1.540623 0.1262 LNPR(-1)* -0.002629 0.015395 -0.170792 0.8647 LNTD(-1) -0.070386 0.020869 -3.372719 0.0010 LNTF(-1) 0.074333 0.021983 3.381450 0.0010 D(LNTD) -0.086600 0.051930 -1.667607 0.0982 D(LNTF) 0.036124 0.035209 1.025993 0.3071 * p-value incompatible with t-Bounds distribution. Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LNTD -26.76932 156.5999 -0.170941 0.8646 LNTF 28.27025 166.4368 0.169856 0.8654 C -7.622406 45.90586 -0.166044 0.8684 EC = LNPR - (-26.7693*LNTD + 28.2703*LNTF -7.6224 ) ARDL Long Run Form and Bounds Test Dependent Variable: D(LNUR) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 08:23 Sample: 2010M01 2019M12 Included observations: 117 Conditional Error Correction Regression Variable Coefficient Std. Error t-Statistic Prob. ARDL Long Run Form and Bounds Test Dependent Variable: D(LNGR) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 08:24 Sample: 2010M01 2019M12 Included observations: 117 Conditional Error Correction Regression Variable Coefficient Std. Error t-Statistic Prob. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│116 C 0.362018 0.083136 4.354517 0.0000 LNUR(-1)* -0.124950 0.029115 -4.291616 0.0000 LNTD(-1) -0.010853 0.015544 -0.698243 0.4866 LNTF(-1) -0.016031 0.016423 -0.976089 0.3313 D(LNUR(-1)) 0.480326 0.089525 5.365278 0.0000 D(LNUR(-2)) 0.212724 0.092261 2.305669 0.0231 D(LNTD) -0.046361 0.037167 -1.247363 0.2150 D(LNTD(-1)) -0.063958 0.038145 -1.676723 0.0966 D(LNTD(-2)) 0.043412 0.036260 1.197258 0.2339 D(LNTF) -0.024393 0.027084 -0.900641 0.3698 D(LNTF(-1)) -0.024828 0.030177 -0.822750 0.4125 D(LNTF(-2)) -0.019230 0.026589 -0.723234 0.4711 * p-value incompatible with t-Bounds distribution. Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LNTD -0.086862 0.122118 -0.711292 0.4785 LNTF -0.128297 0.129540 -0.990410 0.3243 C 2.897311 0.097103 29.83744 0.0000 EC = LNUR - (-0.0869*LNTD -0.1283*LNTF + 2.8973 ) C -0.038409 0.012185 -3.152205 0.0021 LNGR(-1)* -0.044565 0.013661 -3.262220 0.0015 LNTD(-1) -0.013708 0.005962 -2.299040 0.0235 LNTF(-1) 0.013314 0.006094 2.184815 0.0311 D(LNGR(-1)) 0.788854 0.093956 8.395960 0.0000 D(LNGR(-2)) -0.042026 0.094758 -0.443508 0.6583 D(LNTD) 0.007311 0.010456 0.699199 0.4860 D(LNTD(-1)) 0.018934 0.010422 1.816758 0.0721 D(LNTD(-2)) -0.001731 0.009779 -0.177053 0.8598 D(LNTF) 0.005313 0.007379 0.719959 0.4731 D(LNTF(-1)) -0.008211 0.008773 -0.935966 0.3514 D(LNTF(-2)) -0.002998 0.007485 -0.400585 0.6895 * p-value incompatible with t-Bounds distribution. Levels Equation Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. LNTD -0.307593 0.093907 -3.275501 0.0014 LNTF 0.298745 0.100210 2.981195 0.0036 C -0.861864 0.077792 -11.07903 0.0000 EC = LNGR - (-0.3076*LNTD + 0.2987*LNTF -0.8619 ) Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│117 Attachment 5 Error Correction Model Estimation LNGDP (3,3,3) LNPR (1,1,1) LNUR (3,3,3) LNGR (3,3,3) CointEq(-1) -2.665390 -0.002629 -0.124950 -0.044565 Prob 0.0000 0.0002 0.0000 0.0003 ARDL Error Correction Regression Dependent Variable: D(LNGDP) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 06/10/20 Time: 13:31 Sample: 2010M01 2019M12 Included observations: 117 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LNGDP(-1)) 0.915627 0.181370 5.048390 0.0000 D(LNGDP(-2)) 0.326556 0.101230 3.225876 0.0017 D(LNTF) 7.161266 9.356966 0.765341 0.4458 D(LNTF(-1)) 10.64442 9.490810 1.121550 0.2646 D(LNTF(-2)) 5.951904 8.733188 0.681527 0.4970 D(LNTD) -3.650392 12.25156 -0.297953 0.7663 D(LNTD(-1)) 13.15083 11.90523 1.104626 0.2718 D(LNTD(-2)) -17.75667 11.18937 -1.586923 0.1155 CointEq(-1)* -2.665390 0.241557 -11.03419 0.0000 R-squared 0.801357 Mean dependent var 0.006239 Adjusted R-squared 0.786643 S.D. dependent var 6.680508 S.E. of regression 3.085766 Akaike info criterion 5.165280 Sum squared resid 1028.371 Schwarz criterion 5.377755 Log likelihood -293.1689 Hannan-Quinn criter. 5.251542 Durbin-Watson stat 2.121339 * p-value incompatible with t-Bounds distribution. ARDL Error Correction Regression Dependent Variable: D(LNPR) Selected Model: ARDL(1, 1, 1) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 09:42 Sample: 2010M01 2019M12 Included observations: 119 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LNTD) -0.086600 0.041275 -2.098119 0.0381 D(LNTF) 0.036124 0.033604 1.074994 0.2847 CointEq(-1)* -0.002629 0.000672 -3.911902 0.0002 R-squared 0.100743 Mean dependent var -0.003553 Adjusted R-squared 0.085238 S.D. dependent var 0.013249 S.E. of regression 0.012672 Akaike info criterion -5.873998 Sum squared resid 0.018626 Schwarz criterion -5.803936 Log likelihood 352.5029 Hannan-Quinn criter. -5.845548 Durbin-Watson stat 0.516116 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│118 * p-value incompatible with t-Bounds distribution. ARDL Error Correction Regression Dependent Variable: D(LNUR) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 09:43 Sample: 2010M01 2019M12 Included observations: 117 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LNUR(-1)) 0.480326 0.087803 5.470475 0.0000 D(LNUR(-2)) 0.212724 0.090420 2.352609 0.0205 D(LNTD) -0.046361 0.033876 -1.368541 0.1741 D(LNTD(-1)) -0.063958 0.033437 -1.912774 0.0585 D(LNTD(-2)) 0.043412 0.032075 1.353461 0.1788 D(LNTF) -0.024393 0.023808 -1.024572 0.3079 D(LNTF(-1)) -0.024828 0.026179 -0.948412 0.3451 D(LNTF(-2)) -0.019230 0.024421 -0.787420 0.4328 CointEq(-1)* -0.124950 0.028241 -4.424351 0.0000 R-squared 0.449447 Mean dependent var -0.003275 Adjusted R-squared 0.408666 S.D. dependent var 0.011174 S.E. of regression 0.008593 Akaike info criterion -6.602014 Sum squared resid 0.007974 Schwarz criterion -6.389539 Log likelihood 395.2178 Hannan-Quinn criter. -6.515751 Durbin-Watson stat 2.058510 * p-value incompatible with t-Bounds distribution. ARDL Error Correction Regression Dependent Variable: D(LNGR) Selected Model: ARDL(3, 3, 3) Case 2: Restricted Constant and No Trend Date: 20/09/20 Time: 09:43 Sample: 2010M01 2019M12 Included observations: 117 ECM Regression Case 2: Restricted Constant and No Trend Variable Coefficient Std. Error t-Statistic Prob. D(LNGR(-1)) 0.788854 0.092569 8.521804 0.0000 D(LNGR(-2)) -0.042026 0.090267 -0.465570 0.6425 D(LNTD) 0.007311 0.009301 0.785993 0.4336 D(LNTD(-1)) 0.018934 0.009453 2.002836 0.0478 D(LNTD(-2)) -0.001731 0.008916 -0.194201 0.8464 D(LNTF) 0.005313 0.006423 0.827129 0.4100 D(LNTF(-1)) -0.008211 0.007286 -1.127025 0.2623 D(LNTF(-2)) -0.002998 0.006709 -0.446934 0.6558 CointEq(-1)* -0.044565 0.011978 -3.720750 0.0003 R-squared 0.684603 Mean dependent var -5.22E-05 Adjusted R-squared 0.661241 S.D. dependent var 0.004042 S.E. of regression 0.002352 Akaike info criterion -9.193001 Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│119 Sum squared resid 0.000598 Schwarz criterion -8.980526 Log likelihood 546.7906 Hannan-Quinn criter. -9.106739 Durbin-Watson stat 2.009723 * p-value incompatible with t-Bounds distribution. Ibrahim & Indra │ An Empirical Analysis of Islamic Banking (IBs) Contribution to Indonesia’s Inclusive Growth. International Journal of Islamic Economics and Finance (IJIEF), 4(SI), 87-120│120 This page is intentionally left blank.