Comparison of Transfer Function Model and ARIMA-GARCH on Daily Stock Data in Agribusiness and Trade Sector

Authors

  • Lidya Pratiwi IPB University, Jl. Raya Dramaga, Bogor 16680 West Java, Indonesia
  • Budi Susetyo IPB University, Jl. Raya Dramaga, Bogor 16680 West Java, Indonesia
  • Kusman Sadik IPB University, Jl. Raya Dramaga, Bogor 16680 West Java, Indonesia

Keywords:

ARIMA, GARCH, return, transfer function

Abstract

Shares are one of the long-term financial instruments traded in the capital market and are one of the popular investment alternatives for investors in Indonesia. One of the goals of investors investing in a company is to get a profit (return). The higher the stock's selling price is above the purchase price, the higher the return that investors will get. Stock data is time-series data. Therefore, time-series data modeling is needed to determine when investors will get returns shared. One of the models used for time-series data is the ARIMA model. This model assumes that the data's volatility (rate of fluctuation) is constant. In financial data, there are many cases of data with non-constant volatility. This non-constant volatility will cause heteroscedastic problems in the data. Therefore we need a model that can accommodate heteroscedastic problems in the data. One model used is the Generalized Autoregressive Conditional Heteroscedasticity (GARCH) model. This study also examines the effect of independent variables ( input series ), namely world crude oil prices, the positive number of Covid-19, the dollar exchange rate against the rupiah, and the Shanghai composite index on stock return time-series data ( output series ) in the agribusiness and trade sectors. One of the models used to analyze the effect of input series variables on time series data is the transfer function model. The data used is from March 2, 2020, to June 30, 2021. These two models are compared to find out which time series forecast is better. The results showed that the transfer function method is a better method used for forecasting the next seven days on the stock return data of PT. Sawit Sumber Mas Sarana Tbk and PT. Astra Internasional Tbk compared to the ARIMA-GARCH model.

 

References

Bank Indonesia. 2020. Laporan Kebijakan Moneter Triwulan II 2020. https://www.bi.go.id/id/publikasi/laporan/Pages/Laporan-Kebijakan-Moneter-Triwulan-II-2020.aspx.

Bollerslev, T. 1986. Generalized Autoregressive Conditional Heteroscedasticity. Journal of Econometrics Vol. 31, hal. 307-327.

Box, J.R. 2008. Time Series Analysis : Forecasting and Control (4th ed.). Canada: John Wiley & Sons, Inc.

Brigham, E.F., & Houston. 2006. Fundamental of Financial Management: Dasar-Dasar Manajemen Keuangan. Edisi 10. Jakarta: Salemba Empat.

Cryer, J.D., and Kung-Sik Chan. 2008. Time Series Analysis with Application in R, Second Edition. Lowa City: Springer.

Emenogu, N.G., etc. 2019. Modeling and forecasting daily stock returns of Guaranty Trust Bank Nigeria Plc using ARMA-GARCH models, persistence, half-life volatility and backtesting. Science World Journal Vol. 14 (No 3) 2019.

Fadlilah M.A. 2017. Pengaruh Nilai Tukar dan Harga Minyak Mentah Dunia terhadap Return Saham PT. Indomobil Sukses Internasional Tbk. dan PT. Astra Internasional Tbk.Yogyakarta: UST.

Fakhriyana D. 2016. Perbandingan Model ARCH/GARCH Model ARIMA dan Model Fungsi Transfer (Studi Kasus Indeks Harga Saham Gabungan dan Harga Minyak Mentah Dunia Tahun 2013 sampai 2015). Jurnal Gaussian ISSN 2339-2541.

Ghani, I.M.D., & Rahim, H.A. 2019. Modeling and Forecasting of Volatility using ARMA-GARCH: Case Study on Malaysia Natural Rubber Prices. IOP Conference Series: Materials Science and Engineering 548 (2019) 012023. doi:10.1088/1757-899X/548/1/012023.

Hung, D.V., etc. 2021. The Impact of COVID-19 on Stock Market Returns in Vietnam. Journal of Risk and Financial Management, 14: 441. https://doi.org/10.3390/jrfm14090441.

Jarret, J.E., & Sun, T. 2012. Asymmetric impact of oil prices on stock returns in Shanghai stock exchange: Evidence from asymmetric ARDL model. Journal of Business Economics and Management. 13(1): 132-147. doi:10.3846/16111699.2011.620166.

Jayadin. 2011. Analisis Pengaruh Makroekonomi, IHSG dan Harga Minyak Dunia terhadap Return Saham Energi dan Pertambangan Energi. (Thesis). Bogor: Institut Pertanian Bogor.

Karmakar, M. 2017. Dependence structure and portfolio risk in Indian foreign exchange market: A GARCH-EVT-Copula approach. The Quarterly Review of Economics and Finance, 64: 275–291.

Kim S., & Kim H. 2016. A New Metric Of Absolute Percentage Error For Intermittent Demand Forecasts. International Journal of Forecasting. 32(3): 669–679. doi: 10.1016/j.ijforecast.2015.12.003.

Montgomery, D.C., Jennings, C.L., & Kulahci, M. 2015. Introduction to Time Series Analysis and Forecasting. John Wiley & Sons.

Okwuchukwu, E.K., & Okwuchukwu, O. 2014. Stock Market Return Volatility and Macroeconomic Variables in Nigeria. International Journal of Empirical Finance, 2: 75-82. https://EconPapers.repec.org/RePEc:rss:jnljef:v2i2p3.

Peter, J., Brockwell, R.A. 2002. Intoduction to Time Series and Forecasting (2nd ed.). New York: Springer-Verlag, Inc.

Purwa, T., Nafngiyana, U., & Suhartono. 2020. Comparison of ARIMA, Transfer Function and Var Models for Forecasting Cpi, Stock Prices, and Indonesian Exchange Rate: Accuracy Vs. Explainability. Media Statistika. 13(1) 2020: 1-12 doi: 10.14710/medstat.13.1.1-12

Sambuaga J. 2020. Menjaga pasar ekspor sawit di kala pandemi. Jakarta (ID): Kementerian Perdagangan.

Tsay, R.S. 2010. Analysis of Financial Time Series 3rd Edition. John Wiley & Sons: Hoboken.

Downloads

Published

2022-02-18

How to Cite

Pratiwi, L., Susetyo, B. ., & Kusman Sadik. (2022). Comparison of Transfer Function Model and ARIMA-GARCH on Daily Stock Data in Agribusiness and Trade Sector. International Journal of Sciences: Basic and Applied Research (IJSBAR), 61(2), 57–69. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/13724

Issue

Section

Articles