Journal of Critical Reviews ISSN- 2394-5125 Vol 7, Issue 6, 2020 Review Article STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES 1Pei-Tha Gan*, 1Awadh Ahmed Mohammed Gamal, 1Norimah Rambeli, Shu-Ern Lim, 2Muzafar Shah Habibullah, 3Zalina Zainal 1Department of Economics, Faculty of Management and Economics, Universiti Pendidikan Sultan Idris (Sultan Idris Education University), 35900 Tanjong Malim, Perak. Malaysia. * Corresponding author email: gan.pt@fpe.upsi.edu.my 2Department of Economics, Faculty of Economics and Management, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor. Malaysia. 3Department of Economics and Agribusiness, School of Economics, Finance and Banking, Universiti Utara Malaysia 06010 Sintok Kedah Malaysia Received: 26.02.2020 Revised: 23.03.2020 Accepted: 20.04.2020 Abstract A notable attribute of empirical studies on stock market integration is that very few published papers rely on leading informationbased in macroeconomics. To overcome this deficiency, this study examines the integration of stock markets across national borders with leading information in macroeconomics based on a sample of 30 countries. Using the heterogeneous panel cointegration and the catch-up methods, the findings provide some implications; the leading macroeconomic indicators can serve as an ongoing source of support for traders, as an attempt to optimize stock return from investments across national borders. Further, it can also serve as a buffer for countries’ regulatory support systems by avoiding economic catastrophes arising from excessive stock return co-movement across national borders, driven by macroeconomic uncertainty that eventually helps both policymakers and traders to achieve mutual benefits and promote stable economic conditions. Keywords Informationally efficient market β Heterogeneous panel cointegration β Leading macroeconomic indicators β Stock market integration β The catch-up effect © 2019 by Advance Scientific Research. This is an open-access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/) DOI: http://dx.doi.org/10.31838/jcr.07.06.102 INTRODUCTION Stock market integration is a phenomenon in which the stock markets across national borders are linked together closely. International financial integration allows capital to flow freely across national borders and this opens up opportunities for stock market integration (Surugiu & Surugiu, 2015; Vithessonthi & Kumarasinghe, 2016). Although integration may help to diversify risk but it may also increase the transmission of economic turbulences across countries (Devereux & Yu, 2014). Thus, a financial catastrophe in a foreign country can rapidly trigger a catastrophe in the domestic country (Berg, 1999). On the other hand, the empirical evidence for publicly available information in the context of an informationally efficient market argues that stock returns are, to a certain extent, predictable and have important and broad economic implications (Ferson, 2018). This evidence may give rise to domestic stock market instability and performance deterioration when traders gain excessive returns by exploiting benefits of stock market integration (e.g., the decreased cost of equity capital, portfolio diversification, and reduced financing constraints) that eventually and inevitably induce economic catastrophe. However, a puzzle remains as to whether studies in this area could enhance our knowledge of the relationship between publicly available information on the domestic stock market and stock market integration and improve the correctness of economic theory. A notable attribute of empirical studies on stock market integration is that very few published papers rely on leading information-based in macroeconomics (e.g., output, inflation rate, interest rate and exchange rate). The most commonly used measurements of integration are price-based and quantitybased measures. Using both measures, Park and Lee (2011) find that the prices of the emerging Asian equity market have become increasingly internationally integrated in the aftermath of the 1997/1998 crisis. Meanwhile, regarding price-based measures, Majid et al. (2008), suggest that the ASEAN-5 stock markets are working towards greater integration particularly in the post-1997 crisis. Based on cointegration and Generalized Journal of critical reviews Method of Moments (GMM) result, they reveal that the Asean-5 become more dependent among themselves or with the US and Japan. Berger et al. (2011), using various analytical techniques, find that developed and emerging markets, except for frontier markets, offer an indication of increasing integration through time. Donadelli and Paradiso (2014) claim that the level of integration across emerging equity markets in the emerging regions, namely Asia, Eastern Europe, and Latin America, is higher than in the global emerging region. Hillier and Loncan (2019) suggest that governance quality is an important stimulator of stock market integration in raising corporate investment. Regarding quantity-based measures, Kim et al. (2005) and Wang and Moore (2008) employ the seemingly unrelated estimation method and the linear regression method, respectively, to examine the factors that influence the integration process in Eurozone countries. They find that financial liberalization, but not macroeconomic and monetary factors, is a significant factor leading to stock market integration in the Eurozone. The European Central Bank (2010) reports that quantity-based indicators reveal that the degree of integration in the Euro area equity markets is rising. Stavarek et al. (2012) argue that quantity-based indicators seem to be meaningful in assessing the financial integration of equity markets. In line with those arguments, study by Lehkonen (2015) also finds that the high degree of stock market integration propagated the crisis across the global financial markets at the beginning of the crisis, but it had little influence during the crisis. He concludes that financial openness, in addition to the institutional environment and global financial uncertainty, may indeed promote market integration. Pungulescu (2015) argues that the quantity-based measure of financial integration may include factors regarding forego gains from international diversification and overinvestment in domestic stock that may promote international risk sharing and domestic economic growth. 568 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES From other indirect measures of stock market integration, such as described by Guvenen (2009), postulate a bilateral lead–lag relationship between stock markets through macroeconomic variables (e.g., inflation and volatility) using time-varying correlation and covariance models. Using the method of panel data analysis, Valdes et al. (2016) find that the factors in promoting stock market integration in 18 stock markets in the four regional blocs are individual market performance, macroeconomic conditions, and agricultural trade. While Sehgal et al. (2017) suggest that important drivers of market integration are external position, fiscal position, governance, stock market performance, and trade linkages. A recent study by Tong et al. (2018), employs a visualized network measure of global equity market integration and demonstrates that there has been a propensity over time for stock markets in 57 countries to become more integrated internationally, even during times of market stress. Although performance measures of the stock market integration are not often disastrous, the soundness of empirical evidence in supporting stock market integration has reduced. Because the law of one price is not empirically reliable (Miller, 1997; Pippenger & Phillips, 2008), the feasibility of the price-based measure of stock market integration may remain unclear. On the other hand, the quantity-based measure of stock market integration is vague when the capital asset pricing model is not empirically reliable (Fama & French, 2004, 2006). Billio et al. (2017) argue that the search for the precise form to address market integration must carry on. Inspired by the issue of macroeconomics indicators may affect stock market integration, therefore the objective of this study is to examine the integration of stock markets across national borders with leading information in macroeconomics (hereafter, leading macroeconomic indicators). The findings from this study may contribute on the aspects of; (i) leading macroeconomic indicators can serve as an ongoing source of support for traders (e.g., investors, portfolio managers, and investment agents and (ii) leading macroeconomic indicators can serve as a buffer of the country’s regulatory support system for policymakers by avoiding economic catastrophes arising from excessive stock return co-movement across national borders driven by macroeconomic uncertainty (e.g., output uncertainty, inflation uncertainty, interest rate uncertainty, and exchange rate uncertainty). In doing so, leading macroeconomic indicators should help foster the convergence of stock markets –– the stock market integration –– and help both policymakers and traders to achieve mutual benefits and to promote stable economic conditions. Because of limited data availability at the country level, thirty selected countries — Argentina, Australia, Brazil, Canada, China, Colombia, Czech Republic, Denmark, Finland, Hong Kong, Indonesia, Ireland, Italy, Japan, Malaysia, Mexico, New Zealand, Philippines, Poland, Russia, Singapore, South Africa, South Korea, Spain, Sweden, Switzerland, Thailand, Turkey, the UK, and the US — are included in this study. The innovative feature of this paper is the use of a combination of semi-strong informational efficiency and heterogeneous panel cointegration approaches for the measurement of stock market integration. Specifically, the heterogeneous panel cointegration method examines the response function of the stock market return underpinning the semi-strong informational efficiency across national borders (note that this paper assumes that the stock market return is a proxy for the stock market). Additionally, this paper also furthers to the catch-up method to support the soundness of integration. The following part of this paper is organized as follows; Section 2 elaborates the model specification and methodology and Section 3 discusses the description of the data and empirical results. Section 4 summarizes and concludes. MODEL AND METHODOLOGY In line with the hypothesis of this paper, the combination of semi-strong informational efficiency and heterogeneous panel cointegration approaches has tended to measure the integration of stock markets across national borders with Journal of critical reviews leading information in macroeconomics. Specifically, across national borders, the heterogeneous panel cointegration method examines the response function of the stock market return underpinning the assumptions that the stock market return does not reflect all publicly available information. The use of a panel cointegration procedure in determining the condition of integration is a departure from the empirical literature. Among other researchers, this technique is applied by Eng and Habibullah (2006), Gan (2014) and Lu (2017). Because integration may spur convergence, this paper also furthers to the catch-up method. Model specification: the semi-strong form The semi-strong form efficiency appeared initially in the seminal work by Roberts (1967), which implies that the prices of security reflect all publicly available information. Roberts (1967) first depicted the repercussions of the concept of an informationally efficient market, a concept that the security prices reflect all available information that, in turn, makes no excess returns, and can characterize taxonomy of the known information sets into three forms of the informational efficiency of the security market: weak form efficiency, semi-strong efficiency and strong form efficiency. This concept is furthered by Fama (1970) to propagate his theory of investment (i.e., the efficient market hypothesis). However, this informational efficiency of security prices in more recent decades fails to explain market anomalies (e.g., excess volatility and speculative bubbles) that, in turn, lead to an erosion of the notion of unpredictability of returns (Jegadeesh & Titman, 1993; Lasfer et al., 2003; Mishkin & Eakins, 2015). On the other hand, Fama (1981) and Chen et al. (1986) argue that the relationship between stock market return and macroeconomic variables is significant. Sharma and Wongbangpo (2002) and Nikkinen and Sahlstrom (2004) find that the relationship between stock market return and macroeconomic variables can exist not only in the long-run but also in the short-run. Indeed, Samuelson (1998), Shiller (2003) and Jung and Shiller (2005) assert that the stock market is informational inefficiency at the macro-level (i.e., aggregate-level) but informational efficiency at the microlevel (i.e., individual-level). To avoid repetitive presentations of the shortcomings of the semi-strong form efficiency, the concept of informationally efficient market still remains an important part of modern finance (Shiller, 2013). Fama (1991) argues that both the informational efficiency and the informational inefficiency in the stock market are mutually compatible for returns’ determination. Following the convention of event analysis, the estimate of an efficient market model (namely the semi-strong form) does not differ significantly from its variants, except this estimate is reassembled on the notion that an abnormal stock market return should respond rapidly to changes in prime macroeconomic activity through a set of leading macroeconomic indicators: the output, the inflation rate, the interest rate, and the exchange rate. Moreover, such an estimate should not take place if the stock market operates efficiently. In line with this notion, one can say that the market does not follow a random walk (i.e., the market does not follow a non-stationary process). The inputs for the semi-strong form of market efficiency model of the stock market are given by the following equation: π π‘ = π½1π‘ π¦π‘ − π½2π‘ ππ‘ − π½3π‘ ππ‘ − π½4π‘ ππ‘ + ππ‘ (1) where, π is stock market return, π¦ is the output, π is the inflation rate, π is the interest rate, π is the exchange rate, π‘ represents time, β represents coefficients, and ε represents the error term. All variables are in real terms, except π. From Eq. (1), π depends positively on and negatively on π, π, and π. METHODOLOGY The heterogeneous panel cointegration method To relax the hypothesis of this paper, this subsection describes the use of the heterogeneous panel cointegration method [also 569 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES knowns as the panel autoregressive distributed lag (ARDL) method] to measure the integration of stock markets across national borders with leading information in macroeconomics; the heterogeneous panel cointegration method is proposed by Pesaran et al. (1999). This method includes not only the longrun parameter estimates but also the averaged short-run parameter estimates; although, frequently, only long-run parameters are of interest. Following this method, Eq. (1) (i.e., the response function of the stock market return) can be written in the panel error correction ARDL model as Eq. (2) below. π−1 π−1 βπ ππ‘ = π½π + ∑π=1 πΌΜππ βπ π,π‘−π + ∑π=0 πΌΜ1ππ βπ¦π,π‘−π + π−1 π−1 ∑π=0 πΌΜ2ππ βππ,π‘−π + ∑π=0 πΌΜ3ππ βππ,π‘−π + ∑π−1 Μ4ππ βππ,π‘−π + πΎΜπ (π π,π‘−1 − πΏΜ1π π¦ππ‘ − πΏΜ2π πππ‘ − πΏΜ3π πππ‘ − πΏΜ4π πππ‘ ) + π=0 πΌ π’π + πππ‘ (2) where β is the first difference, π is stock market return, π¦ is the output, π is the inflation rate, π is the interest rate, and π is the exchange rate. All variables are in real terms, except π. πΎΜπ is the error correction coefficient; πΏΜ is the long-run coefficient; πΌΜ is the average short-run coefficient; π’π is the group-specific effect; π = 1,2,3, …, π is the number of countries; and π‘ = 1, 2, 3, … , π is the number of times. The mean group (MG) estimator and pooled mean group (PMG) estimator can be described as follows: 1 1 1 πΎΜππΊ = ∑π πΎΜ , πΏΜππΊ = ∑π πΏΜ , πΌΜππΊ = ∑π πΌΜ π π=1 π π π=1 π π π=1 π (3) 1 1 πΎΜπππΊ = ∑π πΎΜ , πΏΜπππΊ = πΏΜπ ∀π , πΌΜπππΊ = ∑π πΌΜ ; ∀π = 1,2, … , π π π=1 π π π=1 π (4) The MG estimator relies on the estimation π time series regressions and the averaging coefficients; its estimates are the unweighted average of the individual coefficients. The PMG estimator, on the other hand, relies on both pooling and averaging coefficients. This estimator restricts the long-run coefficients to be identical across countries but allows shortrun coefficients to vary across countries. From Eq. (2), the steady-state equilibrium for country π can be described as follows: π½π + πΎΜππΊ (π π∗ − πΏΜ1ππΊ π¦π∗ − πΏΜ2ππΊ ππ∗ − πΏΜ3ππΊ ππ∗ − πΏΜ4ππΊ ππ∗ ) = 0 (5) π½π + πΎΜπππΊ (π π∗ − πΏΜ1πππΊ π¦π∗ − πΏΜ2πππΊ ππ∗ − πΏΜ3πππΊ ππ∗ − πΏΜ4πππΊ ππ∗ ) = 0 (6) Provided that πΎΜ is the error correction coefficient on the response function of the stock market return, the stock market integration requires a stable long-run relationship between stock market return and leading macroeconomic indicators (i.e., π¦, π, π, and π) across national borders. πΎΜ is anticipated to be negative and significantly different from zero. This coefficient helps in determining the speed of adjustment (also known as the speed of convergence) from disequilibrium to equilibrium across countries. On the other hand, if the cointegrating vector coefficients of the response function of the stock market return are not statistically different from zero, no conclusion can be drawn with respect to the stock markets across countries being linked closely together. Otherwise, a short run interpretation is appropriate. The catch-up effect The catch-up effect is a theory speculating that non-robust countries may literally catch up –– to converge upon –– to a more robust country (United Nations, 2000), and, thus, all countries will, in time, converge in terms of the state variable. This paper uses a catch-up method proposed by Sopek (2013) to observe the difference of the state variable in two subsequent periods. Note that this method is an additional method to obtain more robust results to support the integration of stock markets. The input for the trend in standard catching-up of weaker countries is given by the following equation: Journal of critical reviews πππ,π‘ = ππ.π‘ ππ‘∗ − ππ,π‘−1 (7) ∗ ππ‘−1 The variables in Eq. (7) are described as follows: πππ is the catchup rate of a country π, ππ is the state variable of a country π, π ∗ is the state variable of a robust country, and π‘ is the number of times. The πππ,π‘ is an indicator that measures the pace of diminishing disparity (i.e., catching-up) to a more robust country. The disparity between the observed countries and an anchor country is diminished in the case of positive difference of the state variable, and vice versa. The disparity between the observed countries and an anchor country may cease to exist when the difference of the state variable becomes either zero or near zero; the difference becoming either zero or near zero may imply perfect convergence. From the standard catching-up effect as described above, the expression of the empirical model of the catch-up effect is as follows: πππ,π‘ = π π.π‘ π π‘ππ − π π,π‘−1 ππ π π‘−1 (8) The variables in Eq. (8) are described as follows: πππ is the catchup rate of a country π, π π is the stock market return of a country π, π ππ is the stock market return of the US, and π‘ is the number of times; π π and π ππ are in real terms. The πππ,π‘ is an indicator that measures the pace of diminishing disparity (i.e., catching-up) to the US. The disparity between the observed countries and the US is diminished in the case of positive difference of the stock market return, and vice versa. The disparity between the observed countries and the US may cease to exist when the difference of the stock market return becomes either zero or near zero; the difference becoming either zero or near zero may imply perfect convergence. DATA AND EMPIRICAL RESULTS Data description Thirty selected countries — Argentina, Australia, Brazil, Canada, China, Colombia, Czech Republic, Denmark, Finland, Hong Kong, Indonesia, Ireland, Italy, Japan, Malaysia, Mexico, New Zealand, Philippines, Poland, Russia, Singapore, South Africa, South Korea, Spain, Sweden, Switzerland, Thailand, Turkey, the UK, and the US — are included in this study. For analysis purposes, this paper uses quarterly data from 1995 quarter one to 2018 quarter one. There are five variables: the stock market return (π π‘ ), the output (π¦π‘ ), the inflation rate (ππ‘ ), the interest rate (ππ‘ ) and the exchange rate (ππ‘ ). All variables are in log form, except π π‘ , ππ‘ , and ππ‘ , and all variables are in real terms, except ππ‘ . Note that this paper assumes that π π‘ is a proxy for the stock market. π π‘ is calculated as the difference between the nominal stock market return (ππ‘ ) and ππ‘ . ππ‘ is constructed (πΆπππΌππ’πππππ‘ −πΆπππΌπππ π)100 with the following formula: ππ‘ = , where πΆπππΌπππ π πΆπππΌ is the composite stock price index (in national currency unit); the index is in log form. ππ‘ is constructed with the (πΆππΌππ’πππππ‘ −πΆππΌπππ π )100 following formula: ππ‘ = , where πΆππΌ is the πΆππΌπππ π consumer price index. π¦π‘ is obtained by dividing the nominal gross domestic product (GDP) with the consumer price index (CPI). ππ‘ is calculated as the difference between the nominal interest rate (π π‘ ) and the ππ‘ ; π π‘ is the money market rate (MMR). ππ‘ is the real effective exchange rate (REER). Note that the πΆπππΌ, the πΆππΌ, the MMR, the nominal GDP, and the REER are taken from various sources, including Datastream, the Bank for International Settlements Statistics, and International Financial Statistics from International Monetary Fund. RESULTS DISCUSSION Three different panel unit root tests namely, Im et al. (2003), Levin et al. (2002), and Maddala are used to assess the stationarity of the dataset. In each test, the null hypothesis of a unit root is tested against the alternative that the process is stationary. In addition to the panel unit root tests, this study uses the Pesaran’s (2004) cross-section dependence (CD) test to examine whether the null hypothesis of cross-sectional independence holds; failure to reject the null hypothesis 570 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES suggests the countries in our sample are not integrated entities, and thus, a potential shock cannot be transmitted to other countries. Additionally, we also uses the heterogeneous panel causality test of Dumitrescu and Hurlin (2012) to determine causal relations between stock market return (π π‘ ) and leading macroeconomic indicators: output (π¦π‘ ), inflation rate (ππ‘ ), interest rate (ππ‘ ), and exchange rate (ππ‘ ). From Table 1, the results reveal that stationarity can generally be assumed for all variables, namely π π‘ , π¦π‘ , ππ‘ , ππ‘ , and ππ‘ ; in other words, these variables are integrated of order zero, I(0). These results, however, do not halt the analysis of the panel error correction ARDL (i.e., the heterogeneous panel cointegration) because variables are allowed to follow different orders of integration, Tests i.e., I(0) and/or I(1) (Pesaran and Shin, 1999). The results of the Pesaran’s (2004) CD test, on the other hand, reveal that the null hypothesis of cross-sectional independence is rejected. This evidence suggests that the countries in our sample are integrated entities, and, thus, a potential shock can be transmitted to other countries. In the presence of crosssectional dependence, one can investigate the long-run relationships among the variables that concern cross-sectional dependency. Furthermore, the results of the heterogeneous panel causality test suggest that the null hypothesis of no causal relation between π π‘ and each cause (i.e., π¦π‘ , ππ‘ , ππ‘ , and ππ‘ ) can be rejected at the 1% significance level. Table 1 (a) Panel unit root tests; (b) Cross-section dependence test; (c) Heterogeneous panel causality test π π‘ π¦π‘ ππ‘ ππ‘ ππ‘ (a) Levin et al. (2002) Level First Difference Decision -15.50 ** [2] -29.26 ** [2] I(0) -3.95 ** [1] -44.34 ** [2] I(0) -15.15 ** [2] -41.84 ** [2] I(0) -2.91 ** [2] -17.78 ** [2] I(0) -2.63 ** [1] -17.97 ** [2] I(0) Im et al. (2003) Level First Difference Decision -17.92 ** [2] -44.18 ** [2] I(0) -3.13 ** [2] -59.78 ** [2] I(0) -20.13 ** [2] -60.21 ** [2] I(0) -6.06 ** [5] -38.08 ** [2] I(0) -1.80 * [2] -23.78 ** [2] I(0) Maddala and Wu (1999) Level First Difference Decision 413.01 ** [2] 983.89 ** [2] I(0) 274.95 ** [1] 740.91 ** [2] I(0) 487.63 ** [2] 756.92 ** [2] I(0) 196.63 ** [2] 833.35 ** [2] I(0) 92.33 ** [1] 637.22 ** [2] I(0) (b) Pesaran (2004) 72.48 ** 135.60 ** 38.18 ** 108.86** 6.93 ** (c) Dumitrescu and Hurlin (2012) Null hypothesis Zbar-Statistic p-value π¦π‘ does not cause π π‘ 6.02 [2] 0.000 ** ππ‘ does not cause π π‘ 17.20 [2] 0.000 ** ππ‘ does not cause π π‘ 13.77 [2] 0.000 ** ππ‘ does not cause π π‘ 6.61 [2] 0.000 ** Source Author’s calculations using the software package Eviews 10 Notes: * and ** indicate the rejection of the null hypothesis of a unit root at the 5% and 1% levels, respectively. The numbers within brackets represent the lag length; the lag lengths are selected using the Schwarz information criterion. I(0) is integrated of order zero. p-value is the probability. We then examine the response function of the stock market return for 30 selected countries by using the heterogeneous panel cointegration method proposed by Pesaran et al. (1999). Across national borders, the method enables us to test the existence of a long-run relationship between stock market return (π π‘ ) and its determinants, namely, output (π¦π‘ ), inflation (ππ‘ ), interest rate (ππ‘ ), and exchange rate (ππ‘ ). The Hausman test is applied to examine whether the null hypothesis of longrun slope homogeneity holds; a failure to reject the null hypothesis suggests that the PMG estimator is consistent and efficient against the MG estimator. Additionally, although it is often the case that only long-run coefficients are of interest via the heterogeneous panel cointegration method, this method can apprehend the relationship between π π‘ and its determinants (i.e., π¦π‘ , ππ‘ , ππ‘ , and ππ‘ ) in the short-run. Table 2 reports the results of the heterogeneous panel cointegration tests (i.e., MG and PMG estimates), for the response function of the stock market return; the tests use data from 1995 quarter one to 2018 quarter one. The value of the Hausman test statistic is 1.5 (p-value 0.826), which suggests that the null hypothesis of long-run slope homogeneity holds Journal of critical reviews and that one can pool the data of all independent variables. Comparing the MG and PMG estimates, imposing long-run homogeneity has reduced the standard errors with a rapid speed of adjustment towards zero; hence, the PMG estimates are consistent and efficient against MG estimates. The error correction coefficient term from the PMG model is negative (0.757) and statistically significant. This coefficient term shows a high level of convergence to equilibrium, which indicates that 76 percent of any deviation from the long-run equilibrium is restored within one quarter. Although the PMG results reveal that all long-run coefficients are statistically significant, only the signs of the long-run coefficients of ππ‘ (-1.223), ππ‘ (-0.029) and ππ‘ (-0.062) are correct, except π¦π‘ (-1.012); however, the PMG results reveal that the averaged short-run coefficients are statistically significant and have a correct sign. Therefore, we conclude that a long-run relationship exists between π π‘ and its determinants, namely ππ‘ , ππ‘ , and ππ‘ ; for the short run dynamics, variables are influenced by the deviation from the long run equilibrium. In general, we can conclude that leading macroeconomic indicators play an important role in shaping the integration of stock markets across national borders. 571 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES Table 2 Panel error correction model estimations of the response function of the stock market return of 30 selected countries. ARDL MG estimates PMG estimates Hausman test (10, 11, 5, 5, 19) Coef. Std. err. t-ratio Coef. Std. err. t-ratio H p-value Long-run coefficients π¦π‘ ππ‘ 0.009 -1.548 1.528 0.213 0.01 -7.27 *** -1.012 -1.223 0.164 0.044 -6.19 *** -28.08 *** ππ‘ -0.240 0.178 -1.35 -0.029 0.008 -3.55 *** ππ‘ -0.324 2.726 -0.12 -0.062 0.032 -1.93 * 0.048 -18.00 *** -0.757 0.033 -23.17 *** 10.31 (4) 5.037 2.05 ** 4.793 (7) 2.516 1.91 * 1.50 0.826 Error-correction coefficient πΈπΆ -0.867 Short-run coefficients a π¦π‘ 8.214 (10) 2.979 2.76 *** ππ‘ -0.751 (1) 0.280 -2.68 *** -0.627 (1) 0.252 -2.48 ** ππ‘ -0.569 (1) 0.264 -2.15 ** -0.448 (1) 0.243 -1.84 * ππ‘ -4.175 (10) 2.537 -1.65 * -6.859 (2) 2.950 -2.33 ** Source Author’s calculation using the software package STATA 14 Notes: *, **, and *** indicate statistical significance at the 10%, 5%, and 1% levels, respectively. ( ) is the lag length; the lag lengths are selected using the Schwarz’s Bayesian criterion. p-value is the probability. a Reporting only those variables (namely π¦, π, π and π) that are significant and that have the expected sign. Furthermore, Table 3 reports only the individual countries’ results of the PMG estimates, because the individual countries’ results of the MG estimates are less appropriate (see the Hausman test result). The empirical response function of the stock market return is stable. The summary results of the tests of the Ramsey regression specification error test (RESET) — the functional form misspecification test — reveal that the individual countries’ regression models are specified correctly (by including π¦π‘ , ππ‘ , ππ‘ and ππ‘ ), except for the Czech Republic and Italy; the null hypothesis of the RESET test is no specification error. The adjusted R-squared values suggest generally that the model fits the data well; the adjusted R-squared reflects the goodness of fit of the model. Overall, the results of Table 3 support the above-mentioned results' discussion of PMG estimates, though there are a few unfavorable results arising from the insignificant regression coefficient, incorrect functional form, and low adjusted R-squared value; the occurrence of unfavorable results is likely because of insufficient observations (Stewart 1976). Table 3 Individual countries’ results of the PMG estimates of the response function of the stock market return. Countries πΈπΆ coef. π¦π‘ coef. a ππ‘ coef. a ππ‘ coef. a ππ‘ coef. a Adj. π 2 Ramsey RESET test Argentina -0.923 39.025 (10) -0.951 (1) -0.317 (2) -55.449 (6) 0.712 2.263 [-9.38] *** [1.90] * [-2.14] ** [-3.70] *** [-4.95] *** (π = 0.14) 59.278 (11) -62.133 (10) [4.05] *** [-6.11] *** -14.328 (14) [-1.83] * -23.428 (18) [-4.89] *** Australia -0.838 18.689 (1) -1.329 (3) -6.299 (16) 0.485 0.762 [8.07]* ** [1.75] * [-1.75] * [-1.87] * (π = 0.39) 22.215 (4) -5.373 (19) [1.95] * [-2.02] ** Brazil -0.653 26.354 (10) -1.865 (2) -0.543 (4) -11.957 (15) 0.605 0.689 [-5.63] *** [2.39] ** [-2.76] *** [-1.98] ** [-4.82] *** (π = 0.42) -0.875 (4) -6.615 (17) [-1.96] ** [-2.60] *** -9.116 (19) [-5.15] *** Canada -1.710 22.576 (4) -1.159 (4) -1.172 (4) -11.820 (2) 0.699 0.116 [-8.60] *** [3.74] *** [-2.06] ** [-2.59] *** [-2.99] *** (p = 0.74) 25.723 (9) -9.458 (5) [3.78] *** [-3.00] *** -11.174 (13) [-3.28] *** -14.681 (16) [-4.57] *** China -0.728 83.021 (8) -2.708 (3) -21.775 (4) 0.584 2.629 [-7.01] *** [3.15] *** [-2.46] ** [-2.24] ** (π = 0.13) -18.495 (6) [-2.13] ** Journal of critical reviews 572 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES Colombia -1.019 [-8.59] *** 20.861 (5) [3.15] *** 16.439 (10) [3.16] *** -0.804 (2) [-1.71] * -0.555 (2) [-1.73] * Czech Republic -0.773 [-8.59] *** 8.568 (1) [3.36] *** 5.748 (3) [2.48] ** -1.575 (4) [-2.54] ** -1.246 (2) [-1.77] * -1.033 (4) [-2.11] ** Denmark -0.590 [-5.77] *** 19.272 (3) [4.72] *** 18.697 (4) [3.34] *** 10.586 (5) [1.75]* -0.826 (1) [-1.77] * -1.512 (3) [-2.64] *** -2.243 (4) [-4.19] *** -0.823 (5) [-1.80] * Finland -0.749 [-9.02] *** -2.675 (1) [-5.09] *** -2.113 (2) [-3.21] *** Hong Kong -0.993 [-8.33] *** 6.135 (1) [2.38] ** 4.672 (2) [1.79] * 10.122 (7) [4.38] *** 5.019 (8) [2.06] ** 7.602 (9) [3.69] *** 20.893 (10) [2.25] ** -0.894 (1) [-3.30] *** -0.601 (2) [-2.02] ** -1.380 (3) [-3.68] *** -1.398 (4) [-3.50] *** -1.261 (5) [-3.30] *** -1.830 (1) [-2.92] *** -1.843 (2) [-3.64] *** Indonesia -0.624 [-7.75] *** -0.405 (1) [-1.87] * Ireland -0.461 [-5.24] *** 18.769 (3) [2.25] ** 36.532 (5) [3.87] *** 2.997 (4) [2.58] *** 3.363 (5) [2.48] ** Italy -0.809 [-7.17] *** 6.757 (5) [1.92] * 7.324 (8) [1.74] * -1.401 (2) [-2.47] ** -1.175 (4) [-1.77] * -1.111 (1) [-2.84] *** -0.623 (2) [-1.85] * -0.943 (4) [-2.50] ** Japan -0.652 [-6.23] *** 43.765 (4) [3.32] *** 35.019 (5) [2.75] *** 56.309 (10) [4.51] *** 58.991 (11) [4.51] *** -5.494 (1) [-1.83] * -5.165 (3) [-1.73] * -5.356 (1) [-1.76] * -6.205 (3) [-2.06] ** Journal of critical reviews -1.020 (1) [-1.73] * -21.249 (10) [-2.52] ** -8.292 (3) [-2.43] ** -3.993 (9) [-1.82] * -9.591 (12) [-4.31] *** -6.703 (17) [-2.61] *** -10.316 (18) [-4.16] *** -25.836 (2) [-3.81] *** -16.238 (8) [-2.47] ** -16.265 (11) [-2.27] ** -14.449 (19) [-2.16] ** -47.998 (2) [-2.66] *** -35.736 (13) [-2.22] ** -29.515 (16) [-2.04] ** 0.680 0.017 (π = 0.90) 0.579 3.558* (π = 0.07)) 0.231 0.004 (π = 0.95) -26.279 (2) [-2.29] ** -47.739 (5) [-3.25] *** -19.080 (10) [-1.78] * -19.489 (18) [-1.90] * 0.678 2.093 (π = 0.11) -12.588 (5) [-1.81] * -11.194 (18) [-1.84] * -0.097 (11) [-2.63] *** -0.108 (17) [-3.27] *** -28.442 (2) [-3.45] *** -18.392 (6) [-2.01] ** -16.755 (10) [-2.02] ** -39.747 (3) [-2.58] *** -94.040 (7) [-4.78] *** -46.821 (10) [-2.36] ** -53.542 (11) [-2.47] ** -21.955 (15) [-1.66] * -12.750 (6) [-2.90] *** -17.199 (11) [-4.24] *** -8.024 (15) [-2.01] ** -11.536 (16) [-2.79] *** -6.742 (19) [-1.81] * 0.904 0.024 (π = 0.88) 0.757 1.041 (π = 0.32) 0.416 0.016 (π = 0.90) 0.551 6.634** (π = 0.02) 0.401 0.007 (π = 0.94) 573 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES Malaysia -0.905 [-9.50] *** 8.079 (10) [2.11] ** -1.932 (1) [-1.69] * Mexico -0.795 [-8.89] *** 17.231 (10) [3.31] *** -0.621 (1) [-3.09] *** -0.344 (1) [-2.10] ** -0.290 (2) [-1.68] * New Zealand -0.852 [-9.62] *** 34.570 (2) [5.15] *** 28.398 (3) [4.37] *** 13.733 (4) [2.17] ** 23.595 (10) [3.61] *** -1.612 (2) [-3.09] *** -0.843 (4) [-1.65] * -1.322 (5) [-4.04] *** -0.971 (2) [-2.22] ** Philippines -0.650 [-6.11] *** Poland -0.417 [-5.45] *** 11.768 (6) [1.87] * 9.520 (9) [1.82] * 11.527 (10) [2.51] ** 13.671 (11) [3.44] *** -0.648 (3) [-2.40] ** -0.989 (5) [-3.75] *** -0.561 (2) [-3.39] *** -0.362 (3) [-2.32] ** Russia -0.574 [-4.74] *** 26.724 (5) [3.49] *** -0.646 (1) [-2.55] ** -0.241 (5) [-2.26] ** Singapore -0.721 [-6.92] *** 14.817 (10) [2.61] *** South Africa -0.896 [-13.47] *** 25.092 (1) [3.54] *** -0.392 (1) [-1.79] * -0.483 (4) [-2.33] ** South Korea -0.889 [-7.59] *** -1.290 (1) [-1.89] * Spain -0.373 [-4.30] *** 30.424 (7) [1.90] * 27.804 (10) [2.52] ** 18.415 (4) [4.90] *** -1.809 (2) [-3.49] *** Journal of critical reviews 0.688 1.944 (π = 0.18) 0.755 0.677 (π = 0.42) 0.739 2.580 (π = 0.10) 0.453 1.237 (π = 0.28) 0.713 0.025 (π = 0.88) 0.499 1.136 (π = 0.30) 0.528 1.460 (π = 0.24) 0.731 1.936 (π = 0.15) -1.377 (1) [-1.71] * -10.679 (6) [-2.25]** -17.520 (9) [-3.20]*** -18.160 (12) [-2.63]*** -9.201 (14) [-1.80]* -7.716 (2) [-3.95] *** -7.263 (3) [-3.67] *** -12.051 (4) [-4.98] *** -7.680 (12) [-3.86] *** -4.128 (14) [-1.91] * -5.517 (1) [-2.47] ** -9.508 (3) [-3.75] *** -5.907 (6) [-2.36] ** -4.259 (9) [-1.80] * -4.321 (10) [-1.91] * -8.592 (16) [-4.01] *** -20.188 (19) [-7.76] *** -13.518 (4) [-1.98] ** -8.903 (12) [-1.88] * -6.677 (1) [-3.03] *** -8.721 (4) [-3.05] *** -12.520 (6) [-5.15] *** -4.875 (10) [-2.08] ** -12.013 (12) [-5.75]*** -11.435 (4) [-2.44]** -17.551 (12) [-3.84]*** -11.768 (14) [-1.92]* -13.354 (18) [-2.17] ** -32.272 (8) [-2.56] ** -22.567 (16) [-1.82] * -4.007 (1) [-2.77] *** -4.317 (4) [-2.47] ** -3.717 (6) [-2.34] ** -2.897 (12) [-1.84] * -4.391 (16) [-2.98] *** -8.019 (12) [-1.66] * 0.706 2.522 (π = 0.13) -1.510 (2) [-3.17] *** -48.455 (2) [-3.57] *** 0.744 1.335 (π = 0.26) 574 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES 11.842 (7) [2.38] ** 6.906 (10) [2.03] ** Sweden -0.754 [-7.06] *** Switzerland -0.645 [-6.55] *** Thailand -0.880 (4) [-1.76] * 8.082 (6) [1.82 ]* 7.303 (9) [1.88] * 8.228 (10) [2.33] ** 1.175 (7) [2.29] ** -2.657 (1) [-3.53] *** -2.272 (5) [-2.10] ** -1.569 (1) [-1.99] ** -2.336 (5) [-2.97] *** -0.781 (3) [-2.53] ** -1.361 (4) [-4.14] *** -0.666 (3) [-2.32] ** -1.295 (4) [-4.37] *** -0.744 [-9.51] *** 21.687 (2) [2.33] ** 11.203 (8) [1.71] * 10.165 (10) [1.71] * -3.165 (1) [-3.99] *** -3.284 (1) [-4.20] *** Turkey -1.055 [-11.44] *** 9.429 (5) [2.26] ** 23.992 (6) [5.31] *** 11.761 (7) [2.52 ]** 9.284 (8) [2.54] ** -0.284 (1) [-2.24] ** -0.487 (2) [-2.99] *** -0.528 (3) [-3.24] *** -0.372 (4) [-2.51] ** UK 0.824 [-7.43] *** 24.286 (1) [2.04] ** 41.078 (7) [3.21] *** US -1.112 [-15.15] *** -0.741 (2) [-2.30] ** -20.285 (8) [-1.75] * -46.895 (12) [-4.36] *** -17.076 (16) [-1.91] * -13.840 (16) [-1.94] * -8.959 (2) [-1.76] * -15.113 (3) [-3.36] *** -9.097 (7) [-1.69] * -14.563 (8) [-2.67] *** -18.329 (11) [-2.77] *** -11.772 (16) [2.60] *** -9.062 (19) [-2.54] ** -23.178 (1) [-1.94] * -25.077 (10) [-2.66] *** -18.433 (13) [-2.93] *** -10.504 (16) [-1.77] * -15.011 (1) [-5.92] *** -17.733 (2) [-5.96] *** -18.282 (3) [-5.49] *** -21.097 (4) [-6.93] *** -21.672 (5) [-6.56] *** -9.214 (6) [-3.11] *** -3.053 (19) [-1.72] * -10.842 (4) [-1.93] * -28.748 (7) [-4.25] *** -16.479 (9) [-2.82] *** -10.599 (15) [-1.72] * -15.321 (17) [-2.17] ** -16.383 (2) [-3.03] *** -15.734 (18) [-3.71] *** 0.466 0.401 (π = 0.54) 0.552 0.297 (π = 0.59) 0.597 1.973 (π = 0.18) 0.862 0.272 (π = 0.61) 0.382 1.557 (π = 0.23) -0.676 (2) 0.719 0.514 [-1.97] ** (π = 0.48) -0.921 (3) [-2.20] ** Source Author’s calculation using the software package STATA 14 Notes: *, **, and *** indicate statistical significance at the 10%, 5%, and 1% levels, respectively. p is the probability. ( ) is the lag length. [ ] is the t-ratio. a Reporting only those variables (namely π¦, π, π and π) that are significant and that have the expected sign. To obtain more robust results, this study identifies the stock market catch-up effect based on 30 selected countries; specifically, the study detects stock market return catching-up effects between 29 countries’ stock market return and the US stock market return. In this context, we include the economic catastrophe of the period as the benchmark that garnered international infamy by determining the sample periods from 1995 quarter one to 2018 quarter one; those benchmarks Journal of critical reviews include three global economic recession eras, namely, the year 1998, the years 2001–2003, and the years 2008–2009). Table 4 summarizes the catch-up estimation results for the stock market return. By characterizing the six quantification quarterly periods during and after the global economic recessions, the average catch-up rates suggest that there is a widening (diminishing) disparity between 29 countries’ stock market returns and the US stock market return during (after) 575 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES the recession; in response to the recessions, the presence of widening disparity may be due to the absence of a consistent regime or strategy among multilateral institutions, national policymakers, and the economics’ profession (Grabel, 2011). Overall, the fact that the average catch-up rate of the full sample period has been narrowing shows that convergence does hold for 29 countries’ stock market return (Note that, although there are some unfavorable results arising from the negative catch- up rate (i.e., widening disparity), the presence of convergence remains sensible because the negative rate is close to zero). In addition, a similar procedure (i.e., the catch-up estimation) is also applied to leading macroeconomic indicators (i.e., π¦π‘ , ππ‘ , ππ‘ , and ππ‘ ). Table 5 summarizes the catch-up estimation results for π¦π‘ , ππ‘ , ππ‘ , and ππ‘ . The average catch-up rates suggest that the convergence of 29 countries’ leading macroeconomic indicators is present. Table 4 Average catch-up rates of the stock market return (the convergence of 29 countries towards the US). Countries Quarterly period from 1995 to 1998 a 1999 to 2001 to 2004 to 2008 to 2010 to 2018 2000 2003 a 2007 2009 a 2018 Argentina -0.272 -0.895 0.239 -0.099 0.021 -0.676 -0.276 Australia -0.024 -0.453 0.140 -0.130 0.069 -0.018 0.036 Brazil 2.325 4.791 3.003 -1.241 0.852 1.258 -1.006 Canada 0.000 -0.009 0.587 -0.416 -0.039 0.022 0.030 China -0.008 -0.423 0.592 -0.515 0.195 -0.121 0.037 Colombia -0.092 -1.179 0.714 -0.451 0.021 0.095 -0.010 Czech Republic -0.134 -1.278 0.206 -0.163 -0.001 -0.183 0.013 Denmark -0.039 -0.400 0.446 -0.130 0.041 -0.171 -0.017 Finland -0.009 -0.409 -0.081 -0.107 0.040 -0.057 -0.022 Hong Kong -0.347 -1.778 -0.361 -0.035 0.095 -0.680 0.128 Indonesia -0.049 -4.437 0.793 -0.619 -0.019 -0.160 0.081 Ireland -0.005 -0.157 0.157 -0.097 0.099 -0.306 0.023 Italy -0.043 0.618 0.083 -0.187 0.045 -0.019 0.203 Japan -0.005 -1.516 0.575 -0.325 0.061 -0.067 0.003 Malaysia -0.069 -0.999 -0.171 -0.212 -0.077 0.087 -0.012 Mexico -0.057 -2.540 1.445 -0.765 0.112 -0.262 0.076 New Zealand -0.043 -0.492 0.318 -0.451 0.103 -0.136 0.005 Philippines 0.032 -4.157 1.522 -0.601 -0.003 -0.102 0.067 Poland 0.218 -2.950 0.426 -0.246 0.130 -0.141 0.010 Russia 0.076 -3.671 5.714 -2.519 0.231 0.088 -0.086 Singapore -0.023 -0.713 -0.231 -0.144 0.077 -0.085 -0.035 South Africa -0.031 -1.663 0.725 -0.098 -0.068 -0.099 0.020 South Korea 0.005 -3.783 0.271 -0.674 -0.013 -0.127 0.030 Spain -0.040 -0.290 0.621 -0.487 0.102 -0.293 0.022 Sweden -0.128 -1.257 1.168 -0.582 0.113 -0.106 0.425 Switzerland 0.052 0.139 0.097 -0.066 0.070 0.223 0.184 Thailand -0.044 -3.648 -0.395 0.147 -0.143 -0.175 0.004 Turkey -0.403 -13.428 4.864 -2.313 0.156 -0.988 0.220 UK 0.007 -0.222 0.158 -0.137 0.030 -0.090 0.004 Average 0.029 -1.628 0.815 -0.471 0.079 -0.113 0.005 Source Authors’ calculation Notes: The sample period is quarterly from the first quarter of 1995 to the first quarter of 2018. a indicates global economic recession eras (i.e., 1998, 2001–2003 and 2008–2009), as described by the International Monetary Fund (2009). Table 5 Average catch-up rates of the output, the inflation rate, the interest rate and the exchange rate (the convergence of 29 countries towards the US). Countries Quarterly period from 1995 to 2018 π¦π‘ ππ‘ ππ‘ ππ‘ Argentina 0.614 0.165 0.559 0.078 Australia 0.058 0.013 0.110 0.051 Brazil 0.530 0.139 1.029 0.056 Canada 0.233 -0.003 0.114 0.053 China 0.431 0.113 -0.123 0.047 Colombia 0.128 0.061 -1.048 0.054 Czech Republic -0.423 0.055 0.188 0.043 Denmark -0.345 0.014 0.175 0.056 Finland 0.019 0.001 0.159 0.059 Hong Kong 0.066 0.044 0.090 0.059 Indonesia -0.185 0.031 0.130 -0.746 Ireland -0.127 0.005 0.186 0.054 Italy -0.328 0.019 0.191 0.055 Japan -0.346 0.009 0.062 0.065 Malaysia -0.159 0.018 -0.015 0.064 Mexico 0.105 0.024 0.153 -0.001 New Zealand 0.425 0.021 0.058 0.053 Philippines 0.295 -0.010 0.110 0.057 Poland -0.423 0.176 0.254 0.049 Russia 0.365 0.907 6.473 0.040 Singapore -0.357 0.011 0.032 0.056 South Africa 2.191 0.031 -0.104 0.061 Journal of critical reviews 576 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES South Korea 1.885 -0.011 0.232 0.059 Spain -0.285 0.027 0.200 0.054 Sweden 0.050 0.013 0.224 0.061 Switzerland 0.054 0.000 0.168 0.056 Thailand 0.307 0.016 0.052 0.057 Turkey 0.134 0.409 1.000 0.046 UK 0.063 0.004 0.156 0.058 Average 0.172 0.079 0.373 0.026 Source Authors’ calculation Notes: The sample period is quarterly from the first quarter of 1995 to the first quarter of 2018. The results yield some noteworthy findings. First, the results of both the cross-section dependence test and the panel causality test suggest the existence of interdependence among countries in terms of stock market return, output, inflation rate, interest rate, and exchange rate, and that leading macroeconomic indicators (i.e., output, inflation rate, interest rate, and exchange rate) can influence stock market return, respectively. Second, the results of the heterogeneous panel cointegration test corroborate the above finding that there exist a long-run relationship between stock market return and its determinants, namely, inflation rate, interest rate and exchange rate, except for output. In line with this finding, the short-run dynamics of the variables are affected by the deviance from the long-term equilibrium. Note that, because of the presence of a positive relationship between stock market return and output in the short-run, the absence of a positive long-run relationship between stock market return and output does not decisively refute the explanatory power of the output variable. This absence may be due either to long-run stock market returns depending on dividend earnings and the growth of per share dividends (Ritter, 2005) or to stock markets revealing information rapidly through price changes (Stiglitz, 1993). Overall, these results reveal that the leading macroeconomic indicators are important economic forces in shaping the integration of stock markets across national borders. Third, the results of both the catching-up effect of stock market return and the catching-up effect of leading macroeconomic indicators are found to be important in explaining the convergence of integrated countries. The findings of the current study offer some policy implications. The paper suggests that the leading macroeconomic indicators (i.e., output, inflation rate, interest rate and exchange rate) can serve as (i) an ongoing source of support for traders (e.g., investors, portfolio managers and investment agents) as an attempt to optimize stock return from investments across national borders and (ii) a buffer of the country’s regulatory support system for policymakers by avoiding economic catastrophes arising from excessive stock return co-movement across national borders driven by macroeconomic uncertainty (e.g., output uncertainty, inflation uncertainty, interest rate uncertainty, and exchange rate uncertainty). Upon doing so, leading macroeconomic indicators play an important role in shaping the convergence of stock markets –– the stock market integration –– that eventually helps both policymakers and traders to achieve mutual benefits and to promote stable economic conditions. Our findings also suggest that leading macroeconomic indicators are the key elements of policymakers in shaping not only stock market integration but also economic integration. CONCLUSIONS The paper examines the integration of stock markets across national borders with leading macroeconomic indicators based on a sample of 30 countries (i.e., Argentina, Australia, Brazil, Canada, China, Colombia, Czech Republic, Denmark, Finland, Hong Kong, Indonesia, Ireland, Italy, Japan, Malaysia, Mexico, New Zealand, Philippines, Poland, Russia, Singapore, South Africa, South Korea, Spain, Sweden, Switzerland, Thailand, Turkey, the UK, and the US). The results obtained using the proposed methods, namely, the cross-section dependence method, the heterogeneous panel cointegration method, and the catch-up method, support the hypothesis that the leading Journal of critical reviews macroeconomic indicators should help foster the convergence of stock markets –– the stock market integration –– and help both policymakers and traders to achieve mutual benefits and to promote stable economic conditions. Thus, the leading macroeconomic indicators fulfill its role as (i) an ongoing source of support for traders, as an attempt to optimize stock return from investments across national borders and (ii) as a buffer of the country’s regulatory support system for policymakers by avoiding economic catastrophes arising from excessive stock return co-movement across national borders driven by macroeconomic uncertainty. Moreover, our results confirm and extend previous findings by Kose et al. (2017) that there are financial and economic linkages between the US and the rest of the world. This study has several limitations. First, the study sample included only 30 countries and four leading macroeconomic indicators, namely, output, inflation rate, interest rate, and exchange rate. Several areas for future research would, thus, include other potential macro-environmental variables (e.g., sociocultural, technological, political-legal, and international variables) in the current practice of deriving these specifications for stock market integration; however, it is noteworthy that encompassing a number of different variables would inevitably complicate a diagnosis of stock market integration. Furthermore, a process similar to that executed in this study can also be replicated in different countries and regions of the world. Second, other uncertainty issues in the design and measurement of the integration of stock markets across national borders are left for future research. Acknowledgments The author would like to thank the anonymous reviewers for their comments and suggestions. The author acknowledges funding support from the “Fundamental Research Grants Scheme (FRGS), Ministry of Education Malaysia” under Grant 2019-0148-106-02 (FRGS/1/2019/STG07/UPSI/01/1). REFERENCES 1. Baele, L., & Soriano, P. (2010). The determinants of increasing equity market comovement: economic or financial integration? Review of World Economics, 146(3), 573–589. 2. Bali, T. G., Brown, S. J., & Tang, Y. (2015). Macroeconomic uncertainty and expected stock returns. Georgetown McDonough School of Business Research Paper No. 2407279. 3. Bekaert, G., & Harvey, C. R. (1997). Emerging equity market volatility. Journal of Financial Economics, 43(1), 29-77. 4. Berg, A. (1999). The Asia crisis: Causes, policy responses, and outcomes. IMF Working Paper 99/138. 5. Berger, D., Pukthuanthong, K., & Jimmy Yang, J. (2011). International diversification with frontier markets. Journal of Financial Economics, 101(1), 227-242. 6. Billio, M., Donadelli, M., Paradiso, A., & Riedel, M. (2017). Which market integration measure? Journal of Banking & Finance, 76, 150-174. 7. Boyle, G. W., & Peterson, J. D. (1995). Monetary policy, aggregate uncertainty, and the stock market. Journal of Money, Credit and Banking, 27(2), 570-582. 577 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. Chen, N., Roll, R., & Ross, S. (1986). Economic forces and the stock market. Journal of Business, 59(3), 383-403. Devereux, M. B., & Yu, C. (2014). International financial integration and crisis contagion. NBER Working Paper No. 20526. Donadelli, M., & Paradiso, A. (2014). Is there heterogeneity in financial integration dynamics? Evidence from country and industry emerging market equity indexes. Journal of International Financial Markets, Institutions and Money, 32, 184-218. Dumitrescu, E. I., & Hurlin, C. (2012). Testing for Granger non-causality in heterogeneous panels. Economic Modelling, 29(4), 1450-1460. Eng, Y. K., & Habibullah, M. S. (2006). Assessing international capital mobility in East Asian economies: a panel error-correction approach. Journal of the Asia Pacific Economy, 11(4), 411-423. European Central Bank (2010) Financial integration in Europe, Frankfurt am Main: European Central Bank. Fama, E. F. (1970). Efficient capital markets: A review of theory and empirical work. The Journal of Finance, 25(2), 383-417. Fama, E. F. (1981). Stock returns, real activity, inflation and money. American Economic Review, 71(4), 545-565. Fama, E. F. (1982). Inflation, Output and Money. Journal of Business, 55(2), 201-231. Fama, E. F. (1990). Stock returns, expected returns, and real activity. Journal of Finance, 45(4), 1089-1108. Fama, E. F. (1991). Efficient capital markets: II. The Journal of Finance, 46(5), 1575-1617. Fama, E. F., French, K.R. (2004). The capital asset pricing model: theory and evidence. Journal of Economic Perspectives, 18(3), 25-46. Fama, E.F., French, K.R. (2006). The value premium and the CAPM. Journal of Finance, 61(5), 2163-2185. Ferson, W. E. (2018). The new Palgrave dictionary of economics (3rd ed.). UK: Macmillan Publishers Ltd. French, K., Schwert, G. W., & Stambaugh, R. F. (1987). Expected stock returns and volatility. Journal of Financial Economics, 19(1), 3-29. Gan, P. T. (2014). The precise form of financial integration: empirical evidence for selected Asian countries. Economic Modelling, 42, 208-219. Grabel, I. (2011). Not your grandfather's IMF: Global crisis, ‘productive incoherence’ and developmental policy space. Cambridge Journal of Economics, 35(5), 805-830. Guvenen, F., (2009). A parsimonious macroeconomic model for asset pricing. Econometrica, 77(6), 1711-1750. Hau, H., & Rey, H. (2006). Exchange rate, equity prices and capital flows. Review of Financial Studies, 19(1), 273-317. Hillier, D., & Loncan, T. (2019). Stock market integration, cost of equity capital, and corporate investment: evidence from Brazil. European Financial Management, 25(1), 181206. Im, K. S., Pesaran, M. H., & Shin, Y. (2003). Testing for unit roots in heterogeneous panels. Journal of Econometrics, 115(1), 53-74. International Monetary Fund. (2009). Global financial stability: Responding to the financial crisis and measuring systemic risk. Washington, DC: International Monetary Fund. Jegadeesh, N., & Titman, S. (1993). Returns to buying winners and selling losers: Implications for stock market efficiency. The Journal of Finance, 48(1), 65-91. Jung, J., & Shiller, R. J. (2005). Samuelson's dictum and the stock market. Economic Inquiry. 43(2), 221-228. Kim, S. J., Moshirian, F., & Wu, E. (2005). Dynamic stock market integration driven by the European Monetary Union: an empirical analysis. Journal of Banking & Finance, 29(10), 2475-2502. Kose, M. A., Lakatos, C., Ohnsorge, F., & Stocker, M. (2017). The global role of the U.S. economy: linkages, policies and spillovers. Policy Research Working Paper No. 7962 (Washington, DC: World Bank Group). Journal of critical reviews 34. Lasfer, M. A., Melnik, A., & Thomas, D. C. (2003). Short term reaction of stock markets in stressful circumstances. Journal of Banking and Finance, 27(10), 1959-1977. 35. Lehkonen, H. (2015). Stock market integration and the global financial crisis. Review of Finance, 19(5), 20392094. 36. Levin, A., Lin, C., & Chu, C. J. (2002). Unit root tests in panel data: asymptotic and finite-sample properties. Journal of Econometrics, 108(1), 1-24. 37. Lu, W. C. (2017). Renewable energy, carbon emissions, and economic growth in 24 Asian countries: evidence from panel cointegration analysis. Environmental Science and Pollution Research, 24(33), 26006-26015. 38. Maddala, G. S., & Wu, S. (1999). A comparative study of unit root tests with panel data and a new simple test. Oxford Bulletin of Economics and Statistics, 61(1), 631-652. 39. Majid, M. S. A., Meera, A. K. M., & Omar, M. A. (2008). Interdependence of ASEAN-5 stock markets from the US and Japan. Global Economic Review, 37(2), 201-225. 40. Miller, E.M. (1977). Risk, uncertainty, and divergence of opinion. The Journal of Finance, 32(4), 1151-1168. 41. Mishkin, F. S., & Eakins, S. G. (2015). Financial markets and institutions. Boston: Pearson. 42. Nikkinen, J., & Sahlstrom, P. (2004). Scheduled domestic and US macroeconomic news and stock valuation in Europe. Journal of Multinational Financial Management, 14(3), 201-215. 43. Park, C. Y., & Lee, J. W. (2011). Financial integration in emerging Asia: challenges and Prospects. Asian Economic Policy Review, 6(2), 176-198. 44. Pesaran, M., & Shin, Y. (1999). An autoregressive distributed-lag modelling approach to cointegration analysis. In S. Strøm (Ed.). Econometrics and economic theory in the 20th century: the Ragnar Frisch centennial symposium (Econometric Society Monographs, pp. 371413). Cambridge: Cambridge University Press. 45. Pesaran, M. H., Shin, Y. & Smith, R. P. (1999). Pooled mean group estimation of dynamic heterogeneous panels. Journal of the American Statistical Association, 94(446), 621-634. 46. Pesaran, M. H. (2004). General diagnostic tests for cross section dependence in panels. Cambridge Working Papers in Economics No. 0435 (Cambridge: University of Cambridge). 47. Pesaran, M. H., Shin, Y., & Smith, R. P. (1999). Pooled mean group estimation of dynamic heterogeneous panels. Journal of the American Statistical Association, 94(446), 621-634. 48. Pippenger, J., Phillips, L. (2008). Some pitfalls in testing the law of one price in commodity markets. Journal of International Money and Finance, 27(6), 915-925. 49. Pungulescu, C. (2015). Real effects of financial market integration: does lower home bias lead to welfare benefits? The European Journal of Finance, 21(10-11), 893-911. 50. Ritter, J. R. (2005). Economic growth and equity returns. Pacific-Basin Finance Journal, 13 (5), 489-503. 51. Roberts, H. (1967). Statistical versus clinical prediction of the stock market. Unpublished manuscript. Center for Research in Security Prices, University of Chicago. 52. Samuelson, P. A. (1998). Summing up on business cycles: opening address. In J. C. Fuhrer, & S. Schuh (Eds.). Beyond shocks: what causes business cycles, (pp. 33-36). Boston: Federal Reserve Bank of Boston. 53. Sehgal, S., Pandey, P., & Deisting, F. (2017). Stock market integration dynamics and its determinants in the East Asian Economic Community Region. Journal of Quantitative Economics, 16(2), 389-425. 54. Sharma, S. C., & Wongbangpo, P. (2002). Stock market and macroeconomic fundamental dynamic interactions: ASEAN-5 countries. Journal of Asian Economics, 13(1), 2751. 55. Shiller, R. (2003). From efficient markets theory to behavioral finance. Journal of Economic Perspectives, 17(1), 83-104. 578 STOCK MARKET INTEGRATION IN THE PRESENCE OF LEADING MACROECONOMIC INFORMATION: EVIDENCE FROM 30 SELECTED COUNTRIES 56. Shiller, R. J. (2013). Sharing nobel honors, and agreeing to disagree. The New York Times. 57. www.nytimes.com/2013/10/27/business/sharingnobel-honors-and-agreeing-to-disagree.html?mcubz=0. Accessed 25 August 2017. 58. Sopek, P. (2013). Real convergence of EU-27 and Croatia in the period 1995-2017. Paper presented at The 8th Young Economists’ Seminar to 19th Dubrovnik Conference. Organised by Croatian National Bank. Dubrovnik. June 12, 2013. 59. Stavarek, D., Repkova, I., & Gajdosova, K. (2012). Theory of financial integration and achievements in the European Union. In R. Matoušek, & D. Stavárek (Eds.), (1st ed.). Financial integration in the European Union, (pp. 1-31). New York: Routledge. 60. Stewart, J. (1976). Understanding econometrics. London: Routledge. 61. Stiglitz, J. E. (1993). The role of the state in financial markets. The World Bank Economic Review, 7(suppl 1), 19-52. 62. Surugiu, M. R., & Surugiu, C. (2015). International trade, globalization and economic interdependence between European countries: Implications for business and marketing framework. Procedia Economics and Finance, 32, 131-138. 63. Tong, C., Chen, J., & Buckle, M. J. (2018). A network visualization approach and global stock market integration. International Journal of Finance and Economics, 23(3), 296-314. 64. United Nations. (2000). Economic survey of Europe 2000 no.1. Geneva: United Nations Publication. 65. Valdes, R., Von Cramon-Taubadel, S., & Engler, A. (2016). What drives stock market integration? An analysis using agribusiness stocks. Agricultural Economics, 47(5), 571580. 66. Vithessonthi, C., & Kumarasinghe, S. (2016). Financial development, international trade integration, and stock market integration: Evidence from Asia. Journal of Multinational Financial Management, 35, 79-92. 67. von Schirndingm, Y. (2002). Health in sustainable development planning: The role of indicators / Yasmin von Schirnding. Geneva: World Health Organization. 68. Wang, P., & Moore, T. (2008). Stock market integration for the transition economies: time-varying conditional correlation approach. The Manchester School, 76, 116133. Journal of critical reviews 579