Value-At-Risk Analysis Using ARIMAX-GARCHX Approach For Estimating Risk Of Bank Central Asia Stock Returns
Abstract
Before buying a stock, an investor must estimate the risk which will be received. VaR is one of the methods that can be used to measure the level of risk. Most stock returns have a high fluctuation, so the variant is heteroscedastic, which is thought to be caused by exogenous variables. The time series model used to model data that is not only influenced by the previous period but is also influenced by exogenous variables is ARIMAX. In contrast, the GARCHX model is used to obtain a more optimal stock return data model with heteroscedasticity cases and is influenced by exogenous variables. This study uses the ARIMAX-GARCHX model to calculate the VaR of the stock returns of PT Bank Central Asia Tbk. The exogenous variables used are the exchange rate return of IDR/USD and the return of the JCI in the period January 3, 2017, to March 31, 2021. The best model chosen is the ARIMAX(2,0,1,1)-GARCHX(1,1,1). VaR calculation is carried out with the concept of moving windows with time intervals of 250, 375, and 500 transaction days. The results obtained at the 95% confidence level, the maximum loss obtained by an investor is 1,4%.
References
3(2):113–124.
Bursa Efek Indonesia (2021). Pengembangan Pasar Modal Indonesia: Apresiasi BEI untuk Negeri di Tahun Kebangkitan Investor
Ritel Dalam Negeri.
Darsyah, M. Y. and Nur, M. S. (2016). Model Terbaik Arima Dan Winter Pada Peramalan Data Saham Bank. Jurnal Statistika,
4(1):30–38.
Guha, B. and Bandyopadhyay, G. (2016). Gold Price Forecasting Using ARIMA Model. Journal of Advanced Management Science,
(March):117–121.
Made, G. A., Putri, A., Putu, N., Hendayanti, N., Nurhidayati, M., Stikom Bali, S., Islam, I. A., and Ponorogo, N. (2017). Pemodelan
Data Deret Waktu Dengan Autoregressive Integrated Moving Average Dan Logistic Smoothing Transition Autoregressive Gusti
Ayu Made Arna Putri. Jurnal Varian, 1(1):54.
Messaoud, S. B. and Aloui, C. (2015). Measuring risk of portfolio: GARCH-copula model. Journal of Economic Integration,
30(1):172–205.
Prastyo, D. D., Handayani, D., Fam, S. F., Rahayu, S. P., Suhartono, and Satyaning Pradnya Paramita, N. L. P. (2018a). Risk
evaluation on leading companies in property and real estate subsector at IDX: A Value-at-Risk with ARMAX-GARCHX approach
and duration test. Journal of Physics: Conference Series, 979(1).
Prastyo, D. D., Sudjati, I. L., Fam, S. F., Setiawan, Suhartono, and Satyaning Pradnya Paramitaa, N. L. P. (2018b). Value-at-Risk
Modeling on Stock Return with Exogenous Variables using ARMAX-GARCHX Approach. Journal of Physics: Conference
Series, 1028(1).
Primajati, G. (2018). Analisis Portofolio Investasi Pada Saham Lq45 Dengan Metode Mean Varian Satu Konstrain. Jurnal VARIAN,
1(2):22–29.
Puspatika, K. and Kusumawati, Y. (2018). Peramalan Harga Cabai Dengan Metode Arima Arch- Garch Dan Single Moving Average
Di Kota Semarang. Journal JOINS Udinus, 03(02):192–201.
Putri, H. T. (2020). Covid 19 dan Harga Saham Perbankan di Indonesia. Eksis: Jurnal Ilmiah Ekonomi dan Bisnis, 11(1):6.
Ratih, I. D., Ulama, B. S. S., and Prastuti, M. (2018). Value at Risk Analysis Using ARMAX GARCHX Approach for Estimating
Risk of Banking Subsector Stock Return’s. Journal of Physics: Conference Series, 974(1).
Rizani, N. F., Mustafid, and Suparti (2019). Penerapan Metode Expected Shortf All pada Pengukuran Risiko Investasi Saham
dengan Volatilitas Model Garcg. Jurnal Gaussian, 8(2):12–26.
Tyas, M. D. P., Maruddani, D. A. I., and Rahmawati, R. (2019). Perhitungan Value At Risk Dengan Pendekatan Threshold Autoregressive Conditional Heteroscedasticity-Generalized Extreme Value. Media Statistika, 12(1):73.
Zulbiadi, L. (2018). Daftar Perusahaan Sekuritas yang Terdaftar di OJK & BEI.
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