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Private sector credit and inflation volatility

Katusiime, Lorna

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Katusiime, Lorna Article Private sector credit and inflation volatility Economies Provided in Cooperation with: MDPI – Multidisciplinary Digital Publishing Institute, Basel Suggested Citation: Katusiime, Lorna (2018) : Private sector credit and inflation volatility, Economies, ISSN 2227-7099, MDPI, Basel, Vol. 6, Iss. 2, pp. 1-13, https://doi.org/10.3390/economies6020028 This Version is available at: https://hdl.handle.net/10419/197080 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen. 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If the documents have been made available under an Open Content Licence (especially Creative Commons Licences), you may exercise further usage rights as specified in the indicated licence. https://creativecommons.org/licenses/by/4.0/ economies Article Private Sector Credit and Inflation Volatility Lorna Katusiime ID Economic Research Department, Bank of Uganda, Kampala 7120, Uganda; [email protected] Received: 8 December 2017; Accepted: 2 April 2018; Published: 24 April 2018   Abstract: This paper investigates the effect of inflation volatility on private sector credit growth. The results indicate that private sector credit growth is positively linked to the one period lagged inflation volatility. Given that past monetary policy actions continue to affect the targeted variables due to the substantial lags in the transmission mechanism, the positive response of private sector credit growth to past inflation volatility suggests a credible monetary policy regime in Uganda, which has led to a reduction in the level of macroeconomic uncertainty and the restoration of favorable economic conditions and prospects, thus increasing the demand for credit. Further, the study finds that the lagged private sector credit growth, nominal exchange rate, and inflation have a statistically significant effect on private sector credit growth while financial innovation, interest rates, and GDP growth appear not to be important determinants of private sector credit growth. The robustness of our findings is confirmed by sensitivity checks. Keywords: private sector credit; inflation volatility; exchange rates JEL Classification: E51; E31; E44; F31; C22 1. Introduction In recognition of the importance of a well-functioning financial system for economic growth, many central banks, including Bank of Uganda, focus on promoting price stability and a sound financial system. In a well-functioning financial system, commercial banks facilitate economic transactions, stimulate savings, and channel savings to productive investment activities thus helping to mobilize resources and improve their allocation (Levine 1997). As a source of finance and credit to the private sector, domestic banks play a pivotal role in increasing employment and productivity. Nevertheless, banks’ financial intermediation specialties may be inhibited in unstable macroeconomic environments, making them more than cautious in their lending decisions. The lack of macroeconomic stability may manifest through rapid price level changes. As is well-known, inflation and its volatility are costly to the economy (Moreno 2004). Over time, high inflation volatility increases uncertainty, a deterrent to risk taking and investment, making forecasting, economic planning, and efficient resource allocation difficult, which adversely impacts on economic activity and growth. Undeniably, Uganda’s rapid economic growth in the past was in part supported by key reforms in the financial sector, including the liberalization of domestic financial markets and removal of quantitative controls on credit. Indeed, Uganda’s prudent macroeconomic management resulted in a consistent record of impressive performance evidenced by average gross domestic product (GDP) growth rates of 7.4%, single digit inflation averaging at 6.5%, and an improved external position with an average current account deficit as a percent of GDP of 4.3% in the period of 2001–2010 (World Bank 2015). However, in the recent past, the country has witnessed more economic volatility and GDP growth slowed to an average of just about 5% (World Bank 2016). Further, going forward, the take off of a huge public investment program and resumption of private sector economic activity in the post-election era is expected to drive growth. Economies 2018,6, 28; doi:10.3390/economies6020028 www.mdpi.com/journal/economies Economies 2018,6, 28 2 of 13 Given the importance of credit to the private sector in driving economic growth outcomes, especially in developing countries, a number of studies have investigated the principal determinants of growth in private sector credit. This notwithstanding, the existing literature is silent on the effects of inflation volatility on private sector credit growth in developing countries, such as Uganda. Against this background, therefore, the main objective of the present study is to examine the effect of inflation volatility on private sector credit. The study provides an insight into the underlying macroeconomic factors driving private sector credit dynamics in Uganda and explores the effects of inflation volatility on credit growth in the private sector. To the best of our knowledge, this is the only study to investigate inflation volatility effects on private sector credit growth. The rest of the study is organized as follows: Section 2presents a brief overview of the financial sector’s evolution and credit to the private sector in Uganda, Section 3provides a brief review of the literature and Section 4, the methodology and estimation techniques applied, while Section 5presents the empirical results and conclusions with recommendations are drawn in Section 6. 2. Overview of the Evolution of the Financial Sector and Credit to the Private Sector in Uganda The importance of a sound and well-functioning financial system in facilitating economic growth cannot be understated. As such, the maintenance of price stability and a sound financial system remains at the core of Bank of Uganda’s mission (Bank of Uganda 2016a). In line with international best practice, the Bank of Uganda’s regulatory and supervisory framework encourages innovation and efficient competition in financial services based on prudent risk taking and avoidance of reckless bank management. Until the late 1990s, Uganda’s financial sector was predominantly small and fragile due to a combination of misguided financial policies pursued by successive governments along with severe macroeconomic and political instability (Whitworth and Williamson 2010). During this period, the financial sector recorded severe incidences of crisis and distress, including episodes of hyperinflation, which resulted in severe financial disintermediation. In an effort to address these weaknesses, the country undertook extensive reforms in the financial sector in the 1990s, including the liberalization of financial markets, restructuring distressed banks, and strengthening prudential regulation. Since then, the financial sector in Uganda has experienced rapid change and growth as a result of these reforms, showing resilience and soundness with an infrastructure largely considered safe and efficient. Commercial banks remain the most dominant financial institutions in Uganda and comprise over 80% of the financial system (Mugume 2008). As of March 2016, there were 25 licensed commercial banks operating in the country up from 15 banks in 2004 (Bank of Uganda 2016a). Most of these commercial banks are, however, foreign-owned. The Ugandan banking system has also attained some degree of outreach, investing heavily in physical infrastructure, such as branches and automated teller machines (ATMs). Commercial banks use deposits from customers, deposits from other banks, or other borrowed funds as primary sources of funds that are primarily used to extend loans to customers, invest in securities, or purchase property and equipment. According to Abuka and Egesa (2007), one of the main advantages of financial reform is the growth of credit expansion to the private sector. Growth in private sector credit (PSC) is a leading indicator of the financial sector’s contribution to economic activity. Nevertheless, despite the increased efficiency and competition in the sector, financial intermediation remains poor as indicated by the stock of private sector credit of 14.6% of GDP as at December 2015 (Bank of Uganda 2016b). Developments in private sector credit are shown in Figure 1. Growth in private sector credit has declined markedly since 2008, in part reflecting the impact of the tight monetary policy stance and subdued domestic demand. As shown in Figure 1, on an annual basis, PSC (Total PSC) grew 8.9% year on year in March 2016 down from 36.1% in March 2008. Over the same period, the growth in Shilling loans (PSC Shs.) declined to 4.6% from 29.9% while growth in the shilling value of foreign denominated loans (PSC fx) also slackened to 14.9% from 54.4%. The slowdown in private sector growth will continue to dent growth in the short-to-medium-term. Macroeconomic stability is highly regarded as a major condition for Economies 2018,6, 28 3 of 13 sectorial credit flow. The creation of an enabling environment through the provision of macroeconomic stability is necessary for the improvement in the extension of credit to the private sector, and as such Bank of Uganda, the country’s central bank, has in recent years focused its policy efforts on controlling inflation at moderate and stable levels. Economies 2018, 6, x 3 of 13 the extension of credit to the private sector, and as such Bank of Uganda, the country’s central bank, has in recent years focused its policy efforts on controlling inflation at moderate and stable levels. Figure 1. Evolution of Private sector credit (PSC) growth in Uganda. Source: Bank of Uganda. 3. Literature Review Credit is vital for economic activity, enabling firms to finance investments and households to smooth their consumption. A low rate of credit expansion is not only a symptom of weak economic growth, but can also be one of its causes (Fountas et al. 2006; Bundesbank 2005). This implies that channeling additional resources to strategic areas, such as the private sector, is essential in poverty eradication and promoting economic growth in emerging and developing economies. As a vital engine for economic growth in developing economies, the private sector relies on the financial sector as a source of funds in advancing growth. Nevertheless, banks’ financial intermediation specialties may be inhibited in unstable macroeconomic environments, making them more than cautious in their lending decisions (Quagliariello 2009). Macroeconomic instability is associated with high inflation and greater volatility of relative prices (Azam 2001, Kiley 2007). The general consensus in the literature is that high and volatile inflation is harmful to society’s welfare (Moreno 2004, Aisen and Veiga 2007). According to Aisen and Veiga (2007), high inflation volatility may be more disruptive to the economy than high inflation levels. Consequently, a number of studies have explicitly investigated the effect of inflation volatility on the macro-economy, examining for instance its effects on economic growth (See for instance Grier and Grier 2006; Mallik and Chowdhury 2011; Wilson 2006; Fountas et al. 2006) and foreign direct investment (Udoh and Egwaikhide 2010). While inflation and inflation volatility may influence private sector credit flow, the empirical literature is silent on the effect of inflation volatility on private sector credit growth. Instead, a number of studies examine the effect of inflation on private sector credit growth without any attempt to disentangle the effects of high inflation levels from those of high inflation volatility (see for instance Backé and Zumer 2005; Egert et al. 2007; Kiss et al. 2006). Backé and Zumer (2005) examined the effect of inflation on private sector credit growth but neglected the effect of inflation volatility while investigating the dynamics behind the high increase in the domestic credit to the private sector in the new member states of the European Union (EU) in recent years. They found that growth in lending to the private sector is affected positively by macroeconomic stabilization, banking sector reforms, financial liberalization and integration, an environment of moderate or low inflation with a buildup of confidence in policy frameworks, decline in interest rates following low inflation, privatization and restructuring of the banking sector, and regulatory reforms of financial markets developing confidence and fostering domestic private sector credits. Backé and Zumer (2005) point out that growth in private sector (10) - 10 20 30 40 50 60 70 Jan-03 Jul-03 Jan-04 Jul-04 Jan-05 Jul-05 Jan-06 Jul-06 Jan-07 Jul-07 Jan-08 Jul-08 Jan-09 Jul-09 Jan-10 Jul-10 Jan-11 Jul-11 Jan-12 Jul-12 Jan-13 Jul-13 Jan-14 Jul-14 Jan-15 Jul-15 Jan-16 PSC Shs. PSC fx Total PSC Figure 1. Evolution of Private sector credit (PSC) growth in Uganda. Source: Bank of Uganda. 3. Literature Review Credit is vital for economic activity, enabling firms to finance investments and households to smooth their consumption. A low rate of credit expansion is not only a symptom of weak economic growth, but can also be one of its causes (Fountas et al. 2006;Bundesbank 2005). This implies that channeling additional resources to strategic areas, such as the private sector, is essential in poverty eradication and promoting economic growth in emerging and developing economies. As a vital engine for economic growth in developing economies, the private sector relies on the financial sector as a source of funds in advancing growth. Nevertheless, banks’ financial intermediation specialties may be inhibited in unstable macroeconomic environments, making them more than cautious in their lending decisions (Quagliariello 2009). Macroeconomic instability is associated with high inflation and greater volatility of relative prices (Azam 2001;Kiley 2007). The general consensus in the literature is that high and volatile inflation is harmful to society’s welfare (Moreno 2004;Aisen and Veiga 2007). According to Aisen and Veiga (2007), high inflation volatility may be more disruptive to the economy than high inflation levels. Consequently, a number of studies have explicitly investigated the effect of inflation volatility on the macro-economy, examining for instance its effects on economic growth (See for instance Grier and Grier 2006;Mallik and Chowdhury 2011;Wilson 2006; Fountas et al. 2006) and foreign direct investment (Udoh and Egwaikhide 2010). While inflation and inflation volatility may influence private sector credit flow, the empirical literature is silent on the effect of inflation volatility on private sector credit growth. Instead, a number of studies examine the effect of inflation on private sector credit growth without any attempt to disentangle the effects of high inflation levels from those of high inflation volatility (see for instance Backéand Zumer 2005; Egert et al. 2007;Kiss et al. 2006). Backéand Zumer (2005) examined the effect of inflation on private sector credit growth but neglected the effect of inflation volatility while investigating the dynamics behind the high increase in the domestic credit to the private sector in the new member states of the European Union (EU) in recent years. They found that growth in lending to the private sector is affected positively by macroeconomic stabilization, banking sector reforms, financial liberalization and integration, an environment of moderate or low inflation with a buildup of confidence in policy frameworks, decline in interest rates following low inflation, privatization and restructuring of the banking sector, and regulatory reforms of financial markets developing confidence and fostering Economies 2018,6, 28 4 of 13 domestic private sector credits. Backéand Zumer (2005) point out that growth in private sector credit was higher in Baltic countries and Hungary than in the euro area. It was also noted that Baltic countries experienced a high rate of growth in private sector credit in an environment of rather low inflation. The study also argued that the equilibrium level of financial depth itself will increase and promote credit growth as Central and Eastern European economies grow richer. This consistent with Egert et al. (2007), who investigated the determinants of domestic bank credit to the private sector as a percentage of GDP in 11 CEE countries using three alternative techniques for regression panel estimation and found that bank credit to the public sector, lending rate, inflation, and spread between lending and deposit rates (a proxy for financial liberalization) negatively affect private credit to GDP ratio while GDP per capita was found to have a positive effect on private credit to GDP ratio although the robustness of the results varies within homogeneous country groups. Their study, however, does not explicitly account for the effect of inflation volatility on private sector credit growth. Likewise, Kiss et al. (2006) in their study of the dynamics of growth in credit to the private sector in a number of Central and Eastern European countries fail to explicitly account for the impact of inflation volatility but incorporate inflation as one of the macroeconomic explanatory variables. The study found that the major determinants of credit are purchasing power parity-based GDP per capita (representing the effect of economic development), the real interest rate (measuring the cost of credit), and inflation (capturing the effects of inflation volatility and liquidity constraints). Specifically, GDP per capita was found to increase the credit/GDP ratio while the real interest rate and inflation lower the credit/GDP ratio. In addition, the study concluded that a large part of credit growth in new member states can be explained by the catching-up process and credit/GDP ratios are below the levels consistent with macroeconomic fundamentals. Further, the literature fails to agree on the drivers of bank lending to the private sector (Akinlo and Oni 2015). The theoretical and empirical literature suggests that the drivers of private sector credit vary depending on country- or region-specific factors, making this an empirical issue. In the theoretical literature, a variety of theoretical models on credit demand and/or supply exist, typically featuring real GDP, price indices or interest rates, and the financial positions of banks as explanatory variables, although there appears to be no standard model (Egert et al. 2007;Backéand Zumer 2005). In addition, although the results are diverse, a number of empirical studies find evidence in support of different credit channels using both macro and micro data. Nevertheless, the empirical work on credit growth is predominantly in the context of high-income industrialized and emerging market economies (Egert et al. 2007;Backéand Zumer 2005). This body of work generally finds that credit demand is explained by output and interest rates, although supply factors, if important, may reduce the reliability of the estimation results due to difficulties in distinguishing demand and supply for credit in econometric estimation (Backéand Zumer 2005). The empirical literature on credit growth in developing countries is fairly limited. Using panel regression estimation techniques, Iossifov and Khamis (2009) examined credit growth in 43 countries in Sub-Saharan Africa from 1997 to 2007 and found that bank credit to the private sector is mainly driven by GDP per capita and negatively affected by the interest rate. While also using panel regression estimation, Abuka and Egesa (2007) examined credit growth to the private sector in the Eastern African Community countries, including Uganda, for the period 1984 to 2003, and found that a crowding-out effect of government borrowing from banks, per capita GDP, access to land, low urbanisation levels, and poor infrastructure quality were important determinants of credit growth. Other studies in the developing country context include Imran and Nishat (2013), who used the Autoregressive Distributed Lag (ARDL) econometric approach and annual data from the period 1971–2010 to investigate the determinants of private sector credit growth in Pakistan and found that foreign liabilities, domestic deposits, economic growth, exchange rate, and monetary conditions were important determinants whereas inflation and the money market rate seemed to have no effect on private sector credit. Sharma and Gounder (2012) investigated the influence of macroeconomic variables on private sector credit growth across six south pacific island economies over the period 1982–2009 using panel regression Economies 2018,6, 28 5 of 13 estimation and found that private sector credit growth in these economies was largely driven by higher economic growth, deposit rate, and average lending and inflation rates. Albulescu (2010) using ordinary least squares (OLS) evaluated the growth rate of credit granted in domestic and foreign currency, respectively, for Romania and found that credit growth rate in domestic currency was linked positively with economic growth, deposits in domestic currency growth, and unemployment rate, but negatively with net wage growth and interest rates. In the second equation, foreign currency credit dynamics were explained by net wages and foreign currency deposits. In the emerging market context, Guo and Stepanyan (2011) analysed the determinants of bank credit in 38 emerging market economies over the period 2001–2010 with panel regression and found that domestic deposits, GDP growth, liabilities to non-residents, and inflation rate had a positive and significant effect on private sector credit growth, while the deposit rate and the federal fund rate were both negatively related to credit growth. In an alternative equation, they added the exchange rate to pick up the effect of foreign currency credit and showed that depreciation of the exchange rate contributes to credit growth. This paper contributes to the existing literature in several respects. This study is directed tows bridging the gap in the literature on the effects of inflation volatility on private sector credit growth. First, as mentioned previously, to the best of our knowledge, no study has addressed the issue of the effect of inflation volatility on private sector credit growth, especially in the context of developing countries, such as Uganda, which are susceptible to high inflation and inflation volatility. Second, this paper extends previous work on the determinants of private sector credit, specifically identifying additional factors for Uganda. Previous studies dealt with Uganda within the context of a panel of countries that included Uganda. 4. Methodology 4.1. Data and Estimation Procedure There is no universal model for the determinants of private sector credit (PSC) growth. The current study adopts a demand-side approach using macroeconomic variables applied in previous studies as explanatory variables to explain private sector credit. In many theoretical and empirical studies, real GDP, prices, and interest rates commonly serve as explanatory variables for the determinants of a private sector credit demand model (Egert et al. 2007;Backéand Zumer 2005). In this study, PSC is modelled as a function of a set of explanatory variables given by PSC = [RGDP, IR, ER, FI, INF and INFV], RGDP, IR, ER, FI, INF, and INFV denote real gross domestic product, nominal interest rate, nominal exchange rate, financial innovation, inflation, and inflation volatility, respectively. The study uses monthly data spanning 1995m1 to 2017m12. The choice of the sample period and data frequency is guided by data availability. Data on the variables of interest, namely PSC, interest rate (TB), exchange rate (ER), financial innovation (FI), and inflation (INF) were obtained from Bank of Uganda’s database. The data on real gross domestic product (RGDP) are compiled from the World Bank Databases and International Financial Statistics (IFS) databases. Inflation is measured as the first difference of the natural log of the consumer price index, where INFt= (ln cpit−ln cpit−1)× 100, while GARCH modelling techniques are deployed to estimate measures of inflation volatility (INFV1, INFV2, and INFV3). In the absence of monthly RGDP data, annual RGDP data was transformed to monthly frequency with the aid of interpolation and then used as a measure of overall economic activity in Uganda. In addition, given that financial innovation affects the nature and composition of monetary aggregates, the ratio of M2 to M1 is used to capture the effects of financial innovation. A number of studies use M2/M1 as a proxy of financial innovation (see for instance (Hye 2009;Ansong et al. 2011)). This study applies the ordinary least square (OLS) estimation technique and Eviews version 8.0 statistical package software. The empirical model for analysis is of the form: ∆lnPSCt=θ0+θ1∆lnPSCt−1+θ2∆lnRGDPt+θ3∆lnERt+θ4IRt+θ5∆lnFIt+θ6INFt +θ7∆lnINFVt+θ8∆lnINFVt−1+ε(1) Economies 2018,6, 28 6 of 13 where LN denotes natural logarithm and all other variables are as previously described. It is expected that θ1> 0, θ2> 0, θ3> 0, θ4<0, θ5> 0, θ6< 0, and θ7< 0. During periods of excessive inflation volatility, proper functioning of financial markets is hindered by increased uncertainty and as such, less credit will typically be extended. Higher inflation and interest rates may depress the demand for bank deposits, causing banks to restrict the supply of credit and thereby inducing declines in spending. Financial innovation is expected to improve financial sector intermediation, allowing it to attract more resources from both the banked and the unbanked populations into the formal financial system, and thus facilitate private sector credit growth. In the wake of a positive output shock, credit demand may go up because the unexpected change in real GDP may trigger increases in consumption and investment demand, subsequently leading to higher credit demand. OLS was used to analyse the relationship between a dependent variable and independent variables. The robustness of the coefficient was used to determine the nature of the relationship and also whether it is statistically significant. The selection of a parsimonious model is based on the Schwarz information criterion and Hannan–Quin (HQ) criterion. 4.2. Measuring Inflation Volatility In order to identify the effects if any of INFV on PSC growth, it is important to identify an appropriate measure of Inflation volatility for the investigation. The Generalized Auto Regressive Conditional Heteroscedastic (GARCH) modelling techniques are popular because they capture the time-varying nature of volatility processes as dependent on both past volatility and past innovations. The GARCH model was introduced by Bollerslev (1986) in a seminal study of U.S. quarterly inflation. Subsequent studies have improved on the GARCH model. For instance, Nelson (1991) proposed the Exponential Generalized Auto Regressive Conditional Heteroscedastic (EGARCH) model, which unlike its GARCH counterpart does not impose non-negativity constraints on parameters and is able to capture asymmetry in the responsiveness of inflation volatility to shocks to inflation. The Threshold Generalized Auto Regressive Conditional Heteroscedastic (TGARCH) model, another asymmetric model, was independently introduced by Glosten et al. (1993) and Zakoian (1994). Existing evidence suggests that the behavior of inflation volatility in response to shocks is asymmetric (see for instance Kontonikas (2004)). Thus, the study applies measures of inflation volatility derived from symmetric GARCH as well as asymmetric EGARCH and TGARCH models. The general form of the applied GARCH model takes the following form: INFt=µ+INFt−1+εtwhere εt|Ωt−1∼N(0, ht)(2) ht=ω+ q ∑ i=1 αiε2 t−i+ p ∑ i=1 βiht−i(3) where ω and µ are constants, (ht) is the conditional exchange rate volatility, and all other variables are as previously described. The GARCH (1,1) model requires that α≥ 0 and β≥ 0 and α + β < 1 for covariance stationarity. In the EGARCH model, the specification for the conditional covariance is as follows: log ht=ω+ q ∑ j=1 βjlog ht−j+ p ∑ i=1 αi      εt−i pht−i      + r ∑ k=1 γk      εt−k pht−k      (4) where γ is the asymmetric parameter and ω , α , and β are as defined in Equation (3). The impact is asymmetric if γk6=0 . If γk is positive, a positive inflationary shock causes more volatility than a negative inflationary shock of equal magnitude. The generalized specification for the TGARCH model is given by: ht=ω+ q ∑ j=1 βjloght−j+ p ∑ i=1 αiε2 t−i+ r ∑ k=1 γkε2 t−kIt−k(5) Economies 2018,6, 28 7 of 13 where It=1 if εt<0 and 0 otherwise, γ is the asymmetric parameter, and ω , α , and β are as defined in Equation (3). In this model, a positive inflation shock ( εt−i>0 ) or bad news and a negative inflation shock εt−i<0 or good news have differential effects on the conditional variance; good news has an impact of αi while bad news has an impact of αi+γk . If γk6=0 , the impact is asymmetric while a negative coefficient of γ suggests that negative inflation shocks (good news) lower inflation volatility. The analysis covers the period of 1984M6 to 2017M12. 5. Results and Discussion 5.1. Descriptive Statistics Table 1below provides a summary of descriptive statistics for the variables of interest over the period under study. The results indicate high variability in measures of private sector credit, interest rate, inflation, and inflation volatility as evidenced by the large standard deviation statistics. Table 1. Descriptive Statistics. Variable Description Mean Maximum Minimum Std. Dev. PSC Natural log of Total private sector credit 7.57 9.45 5.67 1.25 TB 91-day Treasury bill interest rate (%) 10.07 20.35 2.97 3.75 ER Natural log of the nominal UGX/USD exchange rate (Average) 7.55 8.21 6.83 0.36 INF Inflation (Natural log difference of the domestic consumer price index) 0.52 5.04 −2.41 1.07 FI Natural log of Financial innovation (M2/M1) 0.44 0.64 0.28 0.08 INFV1 GARCH (1,1): Inflation volatility 1.52 6.37 0.36 1.03 INFV2 EGARCH (1,1): Inflation volatility 1.24 5.58 0.06 0.95 INFV3 TGARCH (1,1): Inflation volatility 1.50 6.77 0.35 1.11 RGDP Natural log of Interpolated monthly GDP 31.05 31.76 30.29 0.43 TB: interest rate; ER: exchange rate; INF: inflation; FI: financial innovation; INFV: inflation volatility; RGDP: real gross domestic product. Figure 2below presents plots total private sector credit and selected macroeconomic variables of interest. As shown in Figure 2, total private sector credit has generally trended upwards despite the variation in the growth rate. In addition, all the plots of inflation volatility show a high level of variability despite the marked decline in 2014. Economies 2018, 6, x 7 of 13 good news has an impact of  while bad news has an impact of +. If ≠, the impact is asymmetric while a negative coefficient of  suggests that negative inflation shocks (good news) lower inflation volatility. The analysis covers the period of 1984M6 to 2017M12. 5. Results and Discussion 5.1. Descriptive Statistics Table 1 below provides a summary of descriptive statistics for the variables of interest over the period under study. The results indicate high variability in measures of private sector credit, interest rate, inflation, and inflation volatility as evidenced by the large standard deviation statistics. Table 1. Descriptive Statistics. Variable Description Mean Maximum Minimum Std. Dev. PSC Natural log of Total private sector credit 7.57 9. 45 5.67 1.25 TB 91-day Treasury bill interest rate (%) 10.07 20.35 2.97 3.75 ER Natural log of the nominal UGX/USD exchange rate (Average) 7.55 8.21 6.83 0.36 INF Inflation ( Natural log difference of the domestic consumer price index) 0.52 5.04 −2.41 1.07 FI Natural log of Financial innovation (M2/M1) 0. 44 0. 64 0. 28 0. 08 INFV1 GARCH (1,1) : Inflation volatility 1.52 6.37 0.36 1.03 INFV2 EGARCH (1,1) : Inflation volatility 1.24 5.58 0. 06 0. 95 INFV3 TGARCH (1,1) : Inflation volatility 1.50 6.77 0.35 1.11 RGDP Natural log of Interpolated monthly GDP 31.05 31.76 30.29 0. 43 TB: interest rate; ER: exchange rate; INF: inflation; FI: financial innovation; INFV: inflation volatility; RGDP: real gross domestic product. Figure 2 below presents plots total private sector credit and selected macroeconomic variables of interest. As shown in Figure 2, total private sector credit has generally trended upwards despite the variation in the growth rate. In addition, all the plots of inflation volatility show a high level of variability despite the marked decline in 2014. 5 6 7 8 9 10 96 98 00 02 04 06 08 10 12 14 16 PSC 0 5 10 15 20 25 96 98 00 02 04 06 08 10 12 14 16 TB 6.8 7.2 7.6 8.0 8.4 96 98 00 02 04 06 08 10 12 14 16 ER -4 -2 0 2 4 6 96 98 00 02 04 06 08 10 12 14 16 INF .2 .3 .4 .5 .6 .7 96 98 00 02 04 06 08 10 12 14 16 FI 30.0 30.4 30.8 31.2 31.6 32.0 96 98 00 02 04 06 08 10 12 14 16 RGDP 0 2 4 6 8 96 98 00 02 04 06 08 10 12 14 16 GARCH volatil ity 0 1 2 3 4 5 6 96 98 00 02 04 06 08 10 12 14 16 EGARCH volatility 0 2 4 6 8 96 98 00 02 04 06 08 10 12 14 16 TGARCH vol atility Figure 2. Plots of private sector credit and selected macroeconomic variables of interest. Source: Bank of Uganda, World Bank Databases, and International Financial Statistics (IFS), Author’s calculations. Figure 2. Plots of private sector credit and selected macroeconomic variables of interest. Source: Bank of Uganda, World Bank Databases, and International Financial Statistics (IFS), Author’s calculations. Economies 2018,6, 28 8 of 13 5.2. Unit Root Test Results We carry out a unit-root test to inform our specification of the regression model. The results of the Augmented Dickey–Fuller (ADF) (Dickey and Fuller 1979), Phillip–Perron (PP) (Phillips and Perron 1988), and Kwiatkowski–Phillips–Schmidt–Shin (KPSS) (Kwiatkowski et al. 1992) unit-root tests conducted on all the variables employed in the analyses are presented in Table 2below. The ADF and PP tests conducted on each of the variables are based on the null hypothesis of non-stationarity and failure to reject the null implies the need for appropriate differencing to induce stationarity, while the KPSS test investigates the null hypothesis that an observable series is stationary against a non-stationary alternative. The results show that there is a mixture of I(1) and I(0) variables. All of the I(1) variables require differencing to make them stationary and avoid the spurious regression problem. Thus, the I(1) variables are entered into the OLS model in their differenced form. Table 2. Results of Unit Root Tests. Unit Root Tests Augmented Dicky–Fuller (ADF) Phillips–Peron (PP) Kwiatkowski–Phillips– Inference Schmidt–Shin (KPSS) Levels 1st Difference Levels 1st Difference Levels 1st Difference PSC −0.28 −18.58 −0.25 −18.69 1.94 0.17 I(1) TB −3.72 −3.82 0.16 I(0) ER −1.06 −11.72 −0.91 −11.50 1.72 0.13 I(1) INF −12.15 −12.07 0.22 I(0) FI −2.06 −17.18 −2.18 −21.08 1.50 0.09 I(1) INFV1 −2.95 −3.24 1.06 0.02 I(1) INFV2 −1.93 −12.73 −4.63 1.53 0.13 I(1) INFV3 −3.87 −3.82 1.05 0.10 I(1) RGDP −0.16 −4.05 −0.90 −12.31 1.95 0.16 I(1) Note: The figures in this table are unit-root test statistics. The corresponding critical values for the ADF, PP, and KPSS unit-root tests at the 5% significance level are −2.872, −2.872, and 0.463, respectively. 5.3. Discussion of Results Table 3reports the results of inflation volatility measures based on estimation of GARCH (1,1), EGARCH (1,1), and TGARCH (1,1) models 1 . In the table, coefficient size and sign are relatively similar for all of the three models.The estimated α and β coefficients are positive and statistically significant. The size of the parameters α and β determine the short-run dynamics of the resulting volatility time series. The large β s across all three models indicate that inflation volatility is persistent in Uganda and shocks to conditional variance take a long time to die out, while small α coefficients suggest that volatility reacts less intensely to movements in the economy. Sharaf (2015) also finds a high degree of inflation volatility persistence in the response to inflationary shocks for Egypt. The covariance stationarity conditions are met in all of the three estimated models as the persistence parameters are all less than unity. The significant asymmetry coefficients in the EGARCH and TGARCH models confirm that negative and positive shocks have different effects on inflation volatility. In the EGARCH model, the positive asymmetry parameter implies that a positive inflationary shock causes more inflation volatility than a negative inflationary shock of equal magnitude. This result is also supported by the results of the TGARCH (1,1) model, where a negative coefficient on the asymmetry term ( γ ) implies that positive inflationary shocks raise inflation volatility more than negative inflationary shocks lower inflation volatility. In addition, the results of the ARCH LM test presented in Table 3show that there are no remaining ARCH effects in the variance equations, indicating that the volatility models are 1 Preliminary analysis was conducted using the ADF, PP, and KPSS unit-root tests to ascertain the order of intergration of the inflation series and show consistent evidence of stationary at the 5% level of significance. The ARCH LM test conducted using residuals from an OLS regression of the mean equation strongly rejects the null hypothesis of no ARCH effects with a p-value of 0.00. The test assesses the null hypothesis that a series of residuals (rt) exhibits no conditional heteroscedasticity (no ARCH effects) against the alternative that an ARCH type model describes the series.