Revisiting the auto-regressive integrated moving average approach to modelling volatility using Bahrain all share index daily returns

IF 1.2 Q4 MANAGEMENT Middle East Journal of Management Pub Date : 2023-01-01 DOI:10.1504/mejm.2023.133757
Mark P. Doblas, Vinodh K. Natarajan, Jayendira P. Sankar
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Abstract

Most academic researchers in economics and finance have researched the characteristics of stock prices and how it behaves. The widespread belief that understanding the mentioned behaviour and characteristics will provide critical information in forecasting future stock prices fuels the continued interest in creating approaches to improve existing models' predictive power. This study provides a fresh investigation of stock market index volatility utilising Box-Jenkin's auto-regressive integrated moving average (ARIMA) method. The study discovered that ARIMA (1, 1, 4) best simulates Bahrain's stock market index volatility. According to the research, the fitted ARIMA time series' consecutive residuals (prediction errors) were not statistically connected. On the other hand, the residuals are average, having a mean of zero and a constant variance. Moreover, it can be said that the same model is best if used on a weekly forecast horizon, and its ability to model long-term price behaviour, and thus volatility, is still much to be desired.
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重新审视使用巴林所有股票指数日收益的自回归综合移动平均方法来建模波动率
大多数经济学和金融学的学术研究者都研究过股票价格的特征及其行为。人们普遍认为,理解上述行为和特征将为预测未来股价提供关键信息,这激发了人们对创造方法以提高现有模型预测能力的持续兴趣。本文利用Box-Jenkin自回归综合移动平均(ARIMA)方法对股票市场指数波动率进行了新的研究。研究发现ARIMA(1,1,4)最能模拟巴林股市指数波动。根据研究,拟合的ARIMA时间序列的连续残差(预测误差)不具有统计相关性。另一方面,残差是平均值,均值为零,方差为常数。此外,可以说同一模型如果用于每周预测范围是最好的,而其模拟长期价格行为的能力,以及由此产生的波动性,仍有待改进。
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