2015
DOI: 10.12988/ams.2015.5124
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Forecasting Malaysian gold using a hybrid of ARIMA and GJR-GARCH models

Abstract: An effective way to improve forecast accuracy is to use a hybrid model. This paper proposes a hybrid model of linear autoregressive moving average (ARIMA) and non-linear GJR-GARCH model also known as TARCH in modeling and forecasting Malaysian gold. The goodness of fit of the model is measured using Akaike information criteria (AIC) while the forecasting performance is assessed using mean absolute percentage error (MAPE), bias proportion, variance proportion and covariance proportion.

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Cited by 5 publications
(5 citation statements)
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References 6 publications
(7 reference statements)
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“… D t k =1 if normalε t k < 0, and 0 otherwise. According to Chen et al (2008) and Ahmad et al (2015), bad news is defined where normalε t k < 0; otherwise, normalε t k 0 is considered good news, where USD news affects the USD/TWD spot rate change on the t-k th trading day ( normalR t k ). It has a differential effect on the model of conditional variance; good news on the USD has an impact of a k , while bad news for USD has an impact of a k + b k .…”
Section: The Percentage Of the Daily Exchange Rate Is Calculated Asmentioning
confidence: 99%
See 1 more Smart Citation
“… D t k =1 if normalε t k < 0, and 0 otherwise. According to Chen et al (2008) and Ahmad et al (2015), bad news is defined where normalε t k < 0; otherwise, normalε t k 0 is considered good news, where USD news affects the USD/TWD spot rate change on the t-k th trading day ( normalR t k ). It has a differential effect on the model of conditional variance; good news on the USD has an impact of a k , while bad news for USD has an impact of a k + b k .…”
Section: The Percentage Of the Daily Exchange Rate Is Calculated Asmentioning
confidence: 99%
“…Given that p = 1, r = 1, and q = 1 is determined by Akaike's Information Criterion and Schwarz's Information Criterion, Heteroskedastic Test is verified using ARCH Test. We use k = 1 and the GJR-GARCH (1,1) model to capture the heteroscedasticity of the residual variance equation (Ahmad et al, 2015), and the formula becomes:…”
Section: Models Of Previous Day Trading Information Setsmentioning
confidence: 99%
“…In time series analysis, a popular model to predict future points in the series is autoregressive moving average (ARMA) model. However, in cases where data show evidence of non-stationarity, a generalization of ARMA, called autoregressive integrated moving average (ARIMA) model should be applied [2]. To use such models, non-stationarity which can exist in mean and/or in variance must be removed.…”
Section: Arma/arima Modelsmentioning
confidence: 99%
“…In this study, ARIMA model is developed since it can provide an evolution equation with a simple interpretation [1]. However, since the exchange rate series present a high volatility, ARIMA model is hybridized with GARCH family models [2]. GARCH models can be categorized as symmetric and asymmetric models [3].…”
Section: Introductionmentioning
confidence: 99%
“…The model of Box-Jenkins -GARCH is proven as the promising method to analyse and forecast a higher volatile data series such as gold price [1][2][3][4][5][6], electricity price [7,8], internet traffic [9] and traffic flow [10]. However, there is no discussion on the appropriate sample size using the model in the previous literature.…”
Section: Introductionmentioning
confidence: 99%