Exchange rate movement and stock market performance: An application of the ARDL model
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Javangwe, Kudakwashe Zvitarise; Takawira, Oliver Article Exchange rate movement and stock market performance: An application of the ARDL model Cogent Economics & Finance Provided in Cooperation with: Taylor & Francis Group Suggested Citation: Javangwe, Kudakwashe Zvitarise; Takawira, Oliver (2022) : Exchange rate movement and stock market performance: An application of the ARDL model, Cogent Economics & Finance, ISSN 2332-2039, Taylor & Francis, Abingdon, Vol. 10, Iss. 1, pp. 1-20, https://doi.org/10.1080/23322039.2022.2075520 This Version is available at: https://hdl.handle.net/10419/303654 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. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may be saved and copied for your personal and scholarly purposes. You are not to copy documents for public or commercial purposes, to exhibit the documents publicly, to make them publicly available on the internet, or to distribute or otherwise use the documents in public. 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/
Cogent Economics & Finance ISSN: (Print) (Online) Journal homepage: www.tandfonline.com/journals/oaef20 Exchange rate movement and stock market performance: An application of the ARDL model Kudakwashe Zvitarise Javangwe & Oliver Takawira To cite this article: Kudakwashe Zvitarise Javangwe & Oliver Takawira (2022) Exchange rate movement and stock market performance: An application of the ARDL model, Cogent Economics & Finance, 10:1, 2075520, DOI: 10.1080/23322039.2022.2075520 To link to this article: https://doi.org/10.1080/23322039.2022.2075520 © 2022 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. Published online: 20 May 2022. Submit your article to this journal Article views: 7870 View related articles View Crossmark data Citing articles: 12 View citing articles Full Terms & Conditions of access and use can be found at https://www.tandfonline.com/action/journalInformation?journalCode=oaef20
FINANCIAL ECONOMICS | RESEARCH ARTICLE Exchange rate movement and stock market performance: An application of the ARDL model Kudakwashe Zvitarise Javangwe 1 and Oliver Takawira 2 * Abstract: The study examines the relationship between the stock market and exchange rate in South Africa for the period from 1980 to 2020. Quarterly data was used employing the Autoregressive Distributed Lag (ARDL) model given the order of integration of the variables. The empirical results revealed that there is a long-term relationship between the variables of interest. The results also revealed that there is a negative relationship between the stock market and exchange rate movement. The results also show that there is a negative relationship between the stock market and the interest rate as well as inflation as measured by CPI. These results imply that innovations in the exchange rate do have an impact on what happens to the stock market. The impact of exchange rates on stock market can be positive in the short run and negative in the long run and so policymakers can use our findings to avoid making unnecessary monetary or fiscal policy decisions. Policy makers may be able to know when to intervene in influencing the markets using monetary or fiscal policies. Investors and portfolio managers can apply the findings of this study to hedge against exchange rate risk, efficiently diversify their portfolios and predict future stock market movements by observing the exchange rate market. Oliver Takawira ABOUT THE AUTHOR Oliver Takawira is a Lecturer at the University of Johannesburg in the Department of Finance and Investment Management (DFIM) under SOM in the CBE. Oliver has a master’s degree in Development Finance (MdevF) from Stellenbosch University Business School (USB), holds bachelor’s degree from the University of Zimbabwe and currently studying towards a PhD in Economics. Mr Takawira is a Chartered Development Finance Analyst (CDFA – CIDEF) and is a Member of Chartered Institute for Securities & Investment (MCSI – UK). An external examiner of master’s degree dissertations for various universities. He has published articles in accredited high impact journals, presented at various international conferences, secured funding from the South African Reserve bank (SARB) and the BANKSETA South Africa and reviewed articles in various journals. Oliver is an active academic researcher and interested in areas concerning Financial Economics. Oliver Takawira enjoys reading financial, economic and business articles, journals, books and playing chess. PUBLIC INTEREST STATEMENT The study focused on looking at how the stock market prices relate to changes in exchange rates. Assets sold on the stock market are generally affected by exchange rates because some buyers and sellers use foreign currency, international investors buy local assets and policy makers use exchange rate to make decisions. We investigated how a unit change in exchange rates cause stock prices to change. Stock prices are used to measure if the market is performing good or bad thus rise or fall, respectively. The Autoregressive Distributed Lag (ARDL) regression model was applied which assumes that the relationship of exchange rates and stock market prices is linear meaning in statistics there is a straight-line relationship between the two variables. Our results found this relationship to be negative and exist after a long time thus when exchange rates rice stock prices fall. Our advice to policy makers is to take caution in policy making on exchange rates as this will affect the stock market. Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 1 of 20 Received: 08 February 2022 Accepted: 01 May 2022 *Corresponding author: Oliver Takawira, Department of Finance and Investment Management (DFIM), College of Business and Economics (CBE) - University of Johannesburg, South Africa E-mail: [email protected] Reviewing editor: David McMillan, University of Stirling, Stirling, United Kingdom Additional information is available at the end of the article © 2022 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license.
Subjects: Economics; Macroeconomics; Econometrics; Finance; Investment & Securities Keywords: exchange rates; interest rates; inflation; stock market; ARDL and ECM 1. Introduction The relationship between stock market and the exchange rate is an area which has received attention both at the academic and policy discourse. The available studies on the subject include Odhiambo and Tsaurai (2012), Iscan (2015), Singh et al. (2015), and Sichoongwe (2016) though conclusions are varied. The interest in the stock market has taken center stage due to its importance in enhancing savings in the domestic economy, given their importance when it comes to investment and growth of the economy. The performance of the stock market is measured in various ways. Iscan (2015) and Singh et al. (2015) shows that one of the approaches is to look at the stock prices. Iscan (2015) defines the stock prices as “the present value of firms’ future cash flows which create a link between decisions related to current investment or consumption and future income or interest rate innovations”. On the other hand, the exchange rate is defined as the price of the currency in relation to other countries’ currencies. Ali Raza et al. (2021) stressed that exchange rate policies affect the commodities market and so portfolio managers and investors should monitor exchange rates. Analysing the relationship between the two variables is of great importance for an open economy such as South Africa, given that any innovations in the world market does influence the exchange rate and this does also impact the performance of the stock market. Given this, the study seeks therefore to analyse the relationship between exchange rate movement and the stock market development in South Africa. Examining the relationship between the stock market and exchange rates is of importance as it affects several important variables in the domestic economy. Dimitrova (2005) suggested that the link between exchange rates and stock prices is of great importance for a number of reasons. This relationship may affect the effectiveness of monetary and fiscal policy. The author suggests that when the stock market is booming a relaxed monetary policy move or a restrictive fiscal policy that target interest rates and the exchange rate may be neutralized. According to Gokmenoglu et al. (2021) previous studies that analysed the relationship between exchange rates markets and the stock market were focused on developed countries but in this study, we are looking at South Africa which is still developing. In the case of South Africa given that this is an open economy, it is important to note that the rand has been volatile against other currencies. A cursory look at the domestic currency shows that in the early 2000 it stood at 1 US dollar to R7.00. However, in 2020 June it was in the range of R18.00 to one US dollar. This shows the volatility of the currency. Looking at the stock market performance, in the early 2000 the FGTSE/JSE All Share index stood at 9156.64. As of 2008 May the index was 31,796.52, and as of 2009 April it stood at 18,884.74. This trend has continued, and it shows that what is happening to the stock market index somehow does mirror the events taking place in the stock market. Investors would benefit highly from the knowledge on the level of dependence between exchange rates and stock markets allowing them to efficiently diversify international portfolios. Analysing the relationship between the stock market and exchange rates can assist investors in predicting future stock market movements through analysing the exchange rates market. This may further assist investors in hedging against exchange rate risk and identifying proper hedging tools for their portfolio after understanding the level of exposure on their investments (Gokmenoglu et al., 2021; Yousuf & Nilsson, 2013). The objective is to provide trends of the development of the stock market and the development in the South African exchange rate system. We aim to use econometric methods to analyse the interaction between the stock market, exchange rate, interest rates and inflation. The current study differs in that it looks at the relationship of these variables and attempts to capture the short and long-run interactions. The hypothesis to be tested is as follows Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 2 of 20
H o : Movements in the exchange rate do not influence stock market development in South Africa. 1.1. History of the South African stock market The Johannesburg Stock exchange (JSE) was established in 1887 following the discovery of gold with the aim of enabling miners and their financiers to raise funds for the development of the mining industry. The market has developed and is at the level of being compared to stock markets of developed countries. As of now there are many non-mining firms listed on the JSE as compared to the mining firms. As illustrated in Figure 1, the JSE market has developed enormously as measured by market capitalization. Ceicdata (2021) indicates that “South Africa Market Capitalization accounted for 358.9% of its nominal GDP in Dec 2020, compared with a percentage of 343.5% in the previous year. The data reached an all-time high of 358.9% in Dec 2020 and a record low of 59.2% in Dec 1976”. De Beer et al. (2015) provide a concise description of the development of the Johannesburg stock exchange. They highlight that the development of the JSE can be looked at from the early years which can be categorized into three sub-periods. These are, 1887–1910, 1911–1932 and from 1933 to 1945. Then the period of rapid industrialization and general economic prosperity, which is from 1945 to the 1960s. Then there are the isolation years from 1960 to 1994 and a return to the international arena from 1994 to date. For the first period, from 1887 to 1910, it was gold mining which dominated the JSE. As indicated earlier, the discovery of gold is what led to the establishment of the stock market in 1887 (De Beer et al., 2015). The market was essential to the development of the gold market, which led to the transformation of the South African economy from being an agriculture-based economy into an industrialized economy. De Beer et al. (2015) also point out that the major participants at the time were foreign investors as 60% of the funds invested were from foreign sources. The period from 1911 to 1932 was marked with economic stagnation. This was generally attributed to the World War I (1914 to 1918) and the Great Depression (1929 to 1932). During this period, advances in technology which include the discovery of the electric motor and internal combustion engine resulted in favourable macroeconomic development in countries in Europe and America. These events had a negative effect on the development of the JSE as investors focused on the US and other European countries. During the same period, there were major strikes which also had serious repercussions for the mining industry. The period from 1933 to 1945 witnessed a gold boom, which resulted in general economic boom. De Beer et al. (2015) point out that towards the end of 1932, there was a decision to abandon the gold standard and also a move towards devaluing the domestic currency. This saw an Figure 1. Stock market capitalization as a percentage of GDP (2009 to 2018). Source: Ceicdata (2021) Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 3 of 20
increase of nearly 50% in the Sterling price of gold, resulting in the gold boom which dominated the JSE at the time (Fourie & Van Zanden, 2012). De Beer et al. (2015) highlights that during this period, “Gold production increased as new gold mines were established and the increase in the value of gold exports pulled the economy out of depression with extraordinary speed, starting in 1933. The strong supply of foreign exchange enabled South Africa to accumulate substantial gold reserves and to repay government and private debt.” It is also important to observe that during this period “market capitalization of gold and financial shares rose from 125 million to 350 million due to the rising share prices and the flooding in of foreign investors into the market”. The period from 1945 to 1960 is regarded as the era of rapid industrialization and economic prosperity. It is during this period that there was discovery of the Orange Free State (OFS) gold fields. It is also important to highlight that during this period South Africa benefited from a huge increase in capital inflow from the developed countries such as Britain. During this period, “the average real economic growth rate between 1945 and 1959 averaged 4.27%.” This trajectory only changed in 1960 after the Sharpeville massacre (De Beer et al., 2015). From 1960 to 1994 the country was on international isolation. This began after the Sharpeville shootings in 1960. This has serious effects on the development of the JSE. This was further compounded by the government policy on the exchange rate regime, which further strengthened the isolation. The country was placed on sanctions, which reduced the number of investors who were willing to come and invest on the stock market. This therefore significantly reduced the returns on the market. De Beer et al. (2015) showed that the period from 1994 saw a massive transformation in the country as a whole. The authors show that “after 1994, the uncertainty of economic policies implemented by a new ANC-led government led to nervousness in the markets. Fear of a new government nationalizing the mines, banks and monopolies was eased when the then president moderated his stance on the political reforms which the country was to implement. The relaxation of exchange controls and the inclusion of the JSE in the International Finance Corporation’s Investable (IFCI) emerging market index paved the way for a dramatic increase in foreign participation on the JSE. The period is also characterized by an increase in the exchange rate and stock market volatility.” This in a way suggest that changes which took place in the exchange rate had an impact as well on the functioning of the stock market. The period from 1997 to 1998 also witnessed an emergency of market crises where there was a massive depreciation of the South African rand against major currencies. This was also accompanied with a massive decrease in prices of shares. 1.2. Performance of the JSE Market It is also important to observe that the JSE performance mirrors that of other developed countries as indicated in Figure 2. As illustrated in Figure 2, the US has outperformed the performance of the JSE for the period from 2009 to 2019. However, a closer look shows that the performance of the domestic stock market is in line with those of other countries in the European countries. Singh (2019) shows that “measured in dollar terms, the JSE’s performance over the past decade is virtually indistinguishable from emerging markets and Europe, even though many of those regions experienced a positive economic growth. It is also important to observe that many international companies are still listed on the JSE. 2. Literature review 2.1. Mundell Fleming model The first theory, which explain the effect of the stock prices on exchange rate, is the Mundell Fleming Model. Mishkin (2001) provides an explanation on the extent to which an increase in stock prices influences exchange rate movement. Mishkin argues that there are different channels through which the two variables are related. A rise in stock prices result in an increase in Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 4 of 20
investment by companies. In this regard, the stock price is regarded as a function of the investment function. Thus: Investment ¼f interest;Stock Priceð Þ (1) Thus, an increase in the share price influences investment positively as it results in capital gains. On the other hand, interest rate is negatively related to investment given that it is a cost of borrowing and increases the costs to the company. How stock prices affect the economy is illustrated in Figure 3. The BP schedule captures equilibrium in the foreign exchange market. The IS captures equilibrium in the goods market and the LM equilibrium in the money market. Figure 3 shows that when Figure 3. Effect of an increase in the stock price on the Mundell-Fleming model. Source: Dimitrova (2005) Figure 2. SA equity vs US equity and the rest of the World. Source: Businesstech (2019) Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 5 of 20
stock prices go up, this will result in investment and consumption increasing as illustrated earlier. This will result in the IS curve shifting upwards since consumption and investment falls in the goods market. The shift of the IS curve results in the BP schedule shifting upwards and the new equilibrium will be at point B. At point B income (Y) is at a higher level as well as the interest rate. The higher level of interest rate will attract more capital flows which will result in the domestic currency appreciating. This therefore shows that the effect runs from stock prices to exchange rate. Also, the theory suggests that the link between the exchange rate and the stock prices is dependent on the interest rate. 2.2. Portfolio balance theory The second theory, which suggests that the effect runs from the stock prices to the exchange rate, is the Portfolio Balance theory. According to Phylaktis and Ravazzolo (2005), the Portfolio balance theories indicate that activities in the capital account determine the exchange rate. The theory indicates that when stock prices increase, this will attract foreign investors into the domestic market. The arrival of foreign investors will result in huge influx of capital inflows. Given that foreign investors change their foreign currency into the domestic currency, there will be a huge demand for money. The huge demand for money might be inflationary, which can prompt the intervention of monetary authorities through increasing the interest rate, which can further result in more funds flowing into the country. On the other hand, when stock prices decrease, this may diminish corporate wealth and hence the country’s wealth Phylaktis and Ravazzolo (2005). The theory therefore emphasise that the effect runs from stock prices to exchange rate. Again, the theory highlights that the link between the variables is dependent on what happens to the interest rate. 2.3. The traditional economic theory The Traditional economic theory suggests that either a depreciation or appreciation of the currency may cause a company to have a profit or loss in its books of accounts, which ultimately affects its share price. According to this theory, currency depreciation result in higher exports and hence an increase in company profits which will ultimately attract investors resulting in the share price increasing. 2.4. Arbitrage pricing theory Ross (1978) proposed the Arbitrage Pricing Theory (APT). According to this theory, the performance of a share price is dependent on a number of economic variables, which influences the discount rate and future dividends. The theory suggests that individuals prefer portfolios of investment with specific systemic risk, which are different. So according to this theory, events which affect the exchange rate have a potential of affecting the stock prices. 2.5. Flow-Oriented model One of the theories which is popularized to explain the link between the exchange rate and the stock price is the Dornbusch and Fisher (1980)’ Flow-Oriented model. The model suggests that it is the exchange rate that affects the stock prices. In line with the APT model discussed earlier, the Flow-Oriented model indicates that factors that reduce the cash-flow of the firm, holding everything constant, will result in a decrease in the stock prices of the company, or vice-versa. 2.6. Empirical literature review The available literature on the link between the two variables includes studies, which have been carried out at cross-country level and country-specific. The study by Luqman and Koser (2018) suggests that how the two variables relate can be influenced by the nature of the methodology used. The studies, which have employed the Johansen cointegration test, Engle and Granger cointegration test and Granger causality test, assumed a linear relationship between the variables. The studies which fall in this category include Yau and Nieh (2006), Alagidede et al. (2011), Tsai (2012), and Lin (2012). The results from these studies present mixed findings. Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 6 of 20
The studies which have assumed a linear relationship includes Granger et al. (2000), these studies include Bahmani-Oskooee and Sohrabian (1992), Nieh and Lee (2001), Smyth and Nandha (2003), Lean et al. (2005), Pan et al. (2007), Richards et al. (2007), Rahman and Uddin (2009), and Kutty (2010), Zhao (2010), Tian and Ma (2010), Parsva and Lean (2011), Basher et al. (2012), and Nieh and Lee (2001) also carried out another study utilising daily data for the G-7 countries from 1 October 1993 to 15 February 1996. The authors utilised both the Engle-Granger method and the Johnsen cointegration technique. The empirical results revealed that there was no evidence of cointegration between the exchange rate and the stock prices. However, short-run relationships were established. This suggests that the relationship between the two variables may exist in the short run. On another study on the East Asian countries, Lean et al. (2005) examined the relationship between the exchange rate and the stock market utilising weekly data from January 1991 to December 2002. The authors examined the relationship between two variables, before, during and after the Asian Financial crisis and the impact of the 9/11 terrorist attacks. Cointegration and Granger causality tests were employed again. With the exception of the Philippines and Thailand, the results revealed that there was no evidence of cointegration. However, during the crisis, a weaker evidence of cointegration was found. These results suggest that the relationship between the variables maybe influenced by other factors apart from the two variables. The results of Lean et al. (2005) were found to be similar to Pan et al. (2007). Employing monthly data, Rahman and Uddin (2009) explored the relationship between the two variables for the period from January 2003 to June 2008 for three Asian countries. The authors utilised the Johansen cointegration technique and the Granger causality tests. The empirical results revealed that for all the three countries, Bangladesh, India and Pakistan, there was no evidence of any relationship between the variables be it in the short-run or long-run. These results imply that economic agents cannot utilise the link between these variables to forecast the performance of the stock market. It is interesting to note that the majority of the studies reviewed have largely employed the measures of stock market and exchange rate variables only. There are a host of other studies which have utilised more than two variables. These include Tian and Ma (2010). These authors analysed the relationship between the two variables and included several macroeconomic variables in their analysis employing the ARDL model and Granger causality. The empirical results revealed that prior to liberalising the financial sector, there was no relationship between the two variables. However, after liberalisation there was a long-term relationship between the two variables. Several macroeconomic variables were also found to Granger cause the stock market. The other study is that of Parsva and Lean (2011). The authors analysed the link between the two variables and also included several macroeconomic variables. The results revealed that there was evidence of a one-way causal relationship between the variables in Kuwait. On the other hand, a bi-directional causal relationship was stabled for Egypt, Iran and Oman. Again, macroeconomic variables were found to influence the link between the two variables, suggesting that the extent to which the two variables interact is dependent on other macroeconomic variables. In the case of South Africa, the available country-specific studies (Ocran 2010; Mlambo et al. (2013) Fowowe (2015)) have assumed a linear relationship between the variables. 3. Methodology 3.1. Model specification The literature section highlighted that the relationship between the stock market development and the exchange rate runs both ways. The portfolio balance model suggests that the effect runs from the stock market to exchange rate. In other words, innovations in the stock market affect the exchange rate. On the other hand, the Flow oriented model indicates that it is the exchange rate Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 7 of 20
policies. Investors and portfolio managers can apply the findings of this study to hedge against exchange rate risk, efficiently diversify their portfolios and predicting future stock market movements. One of our limitations was time constraint as we could not have enough time to consider other macroeconomic variables in our study. Moreover, the analysis tested the relationship of the variables using stock market as the response variable and exchange rate as the explanatory variable showing the volatility effect being transmitted from the exchange rate market to the stock exchange market which can be vice versa. Future studies should analyse the relationship between exchange rates using models like the quantile ARDL (QARDL) and the non-linear ARDL (NARDL). Further studies can also incorporate variables like inflation targeting, growth targeting, global financial crisis and pandemics like Covid-19 to see if these affect the relationship between exchange rates and stock markets. Funding The authors received no direct funding for this research. Author details Kudakwashe Zvitarise Javangwe 1 ORCID ID: http://orcid.org/0000-0001-8571-582X Oliver Takawira 2 E-mail: [email protected] ORCID ID: http://orcid.org/0000-0001-7515-1733 1 Business Development Manager: Giesecke and Devrient Mobile Security Southern Africa, MCom Investment Management - University of Johannesburg, Johannesburg, South Africa. 2 Department of Finance and Investment Management (DFIM), College of Business and Economics (CBE) - University of Johannesburg, Johannesburg, South Africa. Disclosure statement No potential conflict of interest was reported by the author(s). Citation information Cite this article as: Exchange rate movement and stock market performance: An application of the ARDL model, Kudakwashe Zvitarise Javangwe & Oliver Takawira, Cogent Economics & Finance (2022), 10: 2075520. References Adjasi, C. K., & Yartey, C. A. (2007). 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The other three diagnosis test were performed on the residuals and the results are reported on Table A1. Table A1 shows that the model does not suffer from serial correlation, given an F-statistic of 1.0783 with a probability value of 0.8493. Also, the model does not suffer from heteroscedasticity, given the Observed R-Squared of 1.5022 and a probability of 0.4748. The model also is correctly specified as evidenced by the LR ratio of 0.1498 and associated probability of 0.6986. The stability of the model was examined through the CASUM test and the CASUM of Squares test. The results are reported in Figure A2 and Figure A3. Table A1. Diagnosis test Serial correlation F-statistic 1.078390 Prob. F(2,133) 0.8493 Heteroskedasticity Test: White Obs*R-squared 1.502251 Prob. Chi-Square(4) 0.4748 Ramsey RESET Test Value df Probability Likelihood ratio 0.149884 1 0.6986 Source: By Author -40 -30 -20 -10 0 10 20 30 40 1990 1995 2000 2005 2010 2015 2020 CUSUM 5% Significance Figure A2. CASUM Test. Source: By Author Figure A2 shows that the plot of the CASUM test as well as the CASUM Square on Figure A3 are between the two red lines. This confirms that the model estimated is stable. Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 17 of 20
Informal Unit root Tests As a way of determining the time-series properties of the data, both the formal and informal tests were conducted. For the informal tests graphical plots were utilised. These are presented in Figure A4 and Figure A5. -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020 CUSUM of Squares 5% Significance Figure A3. CASUM Test. Source: By Author 6 7 8 9 10 11 12 1985 1990 1995 2000 2005 2010 2015 2020 LJSE 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 1985 1990 1995 2000 2005 2010 2015 2020 LEXCH 0 5 10 15 20 25 1985 1990 1995 2000 2005 2010 2015 2020 CPI 4 8 12 16 20 24 28 1985 1990 1995 2000 2005 2010 2015 2020 Interest Figure A4. Informal unit root tests (Level. Source: By Author Figure A4 shows that for all variables, there is evidence of the data trending. In other words, there is evidence that as one moves from one period to the next, the data changes as well. This is a way confirms that at level series the data is not stationary. Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 18 of 20
Informal unit root tests (Differenced Series) The data trends were also checked using first differenced data, as indicated on Figure A5, there is evidence of the series being stationary. However, formal tests were carried out so as to ascertain the level of stationarity of the data. -.3 -.2 -.1 .0 .1 .2 .3 1985 1990 1995 2000 2005 2010 2015 2020 Differenced LJSE -.3 -.2 -.1 .0 .1 .2 .3 1985 1990 1995 2000 2005 2010 2015 2020 Differenced LEXCH -6 -4 -2 0 2 4 1985 1990 1995 2000 2005 2010 2015 2020 Differenced CPI -4 -2 0 2 4 6 1985 1990 1995 2000 2005 2010 2015 2020 Differenced Interest Figure A5. Informal unit root tests (Differenced). Source: By Author Javangwe & Takawira, Cogent Economics & Finance (2022), 10: 2075520 https://doi.org/10.1080/23322039.2022.2075520 Page 19 of 20
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