Wavelet-Based Analysis of the Comovement Between Exchange Rate and Stock Returns in Sacu Countries

Thando Mkhombo, Andrew Phiri
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Abstract

ABSTRACT: The Southern African Customs Union is the oldest customs union in the world and the member states form a currency union with the South African Rand being the regional currency anchor. Therefore, currency movements amongst SACU member are dependent on the developments on the Rand which, in turn, can affect stock market development in the region. We examine the time-frequency relationship between exchange rates and stock market returns in SACU countries using continuous wavelet transforms. Our empirical analysis is two-staged. Firstly, we employ wavelet power spectrum to examine the time-frequency properties of the individual series. Secondly, we use wavelet coherence analysis and phase dynamics to examine the synchronization between the variables in a time-frequency space. Our findings show stronger (weaker) exchange rate-stock returns relations are found during periods of higher (lower) inflation whereas we observe a stronger (weaker) relationship during periods of lower interest rate environment. Moreover, we find more significant long-run relationships for countries with more independent monetary policy (South Africa and Botswana) whereas these relations are more prominent over the short-run for countries with pegged exchange rates (Eswatini and Namibia). We also observe that periods of oil and currency shocks impact the exchange rate-stock returns relationship in SACU countries with pegged exchange rates (Eswatini and Namibia). Our findings bear important implications for different stakeholders. For instance, this study has implications for exchange rate policy as it addresses the issue of whether the exchange rate can be used to improve market performance or exchange rate developments spillover into the stock market. Furthermore, corporate managers and stock market participants would be interested in our findings as it identifies periods of market inefficiency when exchange rates can be used to beat the stock market.
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基于小波的Sacu国家汇率与股票收益变动分析
摘要:南部非洲关税同盟是世界上历史最悠久的关税同盟,其成员国形成了以南非兰特为区域货币锚的货币联盟。因此,南共体成员国之间的货币变动取决于兰特的发展,而兰特的发展反过来又会影响该地区股市的发展。我们用连续小波变换检验了SACU国家的汇率与股票市场收益的时频关系。我们的实证分析分为两个阶段。首先,利用小波功率谱分析各序列的时频特性。其次,我们使用小波相干分析和相位动力学来检查变量在时频空间中的同步。我们的研究结果显示,在高(低)通胀时期,汇率与股票回报的关系更强(更弱),而在低利率环境时期,我们观察到汇率与股票回报的关系更强(更弱)。此外,我们发现货币政策更加独立的国家(南非和博茨瓦纳)的长期关系更为显著,而这些关系在短期内对于钉住汇率的国家(斯威士兰和纳米比亚)更为突出。我们还观察到,在实行钉住汇率的中南合作联盟国家(斯威士兰和纳米比亚),石油和货币冲击时期会影响汇率-股票回报关系。我们的发现对不同的利益相关者具有重要意义。例如,这项研究对汇率政策有影响,因为它解决了汇率是否可以用来改善市场表现或汇率发展溢出到股票市场的问题。此外,公司经理和股票市场参与者会对我们的研究结果感兴趣,因为它确定了汇率可以用来击败股票市场的市场无效时期。
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