Econometric Modelling of Financial Time Series

Chipasha Salome Bwalya Lupekesa, Johannes Tshepiso Tsoku, Lebotsa Daniel Metsileng
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Abstract

This paper examines the relationship between assets, capital, liabilities and liquidity in South Africa using the Johansen cointegration analysis and the GARCH model using times data for the period 02/2005 to 06/2018. The results obtained from the study suggests that the time series are integrated of order one, I(1). The findings from the Johansen cointegration test indicated that the variables have a long run cointegrating relationship. Furthermore, the results from the GARCH model revealed that the estimated model has statistically significant coefficients at 5% significance level. Additionally, results revealed that assets have a positive relationship with capital, liabilities and liquidity. This implies that a percentage increase in assets will result to a percentage increase in capital, liabilities and liquidity. The results also revealed that shocks decay quickly in the future and that the conditional variance is explosive. The diagnostic tests revealed that the estimated models show the characteristics of a well specified model. The recommendations for future studies were formulated. Keywords:   ARCH model; Cointegration; Financial time series; GARCH model; VECM; Volatility
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金融时间序列的计量经济模型
本文利用2005年2月至2018年6月期间的时间数据,利用约翰森协整分析和GARCH模型,研究了南非资产、资本、负债和流动性之间的关系。研究结果表明,时间序列是1阶,I(1)的积分。johnson协整检验的结果表明变量之间存在长期的协整关系。此外,GARCH模型的结果表明,估计模型的系数在5%显著水平上具有统计学显著性。此外,结果显示,资产与资本、负债和流动性呈正相关。这意味着资产增加一个百分比将导致资本、负债和流动资金增加一个百分比。结果还表明,冲击在未来衰减很快,条件方差是爆炸性的。诊断试验表明,估计模型显示了一个良好指定模型的特征。为今后的研究提出了建议。关键词:ARCH模型;协整;金融时间序列;GARCH模型;结果;波动
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