Pemodelan Saham Sektor Energi Menggunakan Non-Homogeneous Markov Switching Autoregressive (NHMS-AR) dengan Probabilitas Transisi Non-Homogeneous

Authors

DOI:

https://doi.org/10.25217/numerical.v9i2.7159

Keywords:

Energy sector, Exogenous variables, NHMS-AR, Stock returns, Transition probability

Abstract

The movement of energy sector stock returns is dynamic and influenced by external factors that cause changes in market conditions over time. These characteristics indicate the existence of regime shifts that cannot be optimally modeled using conventional linear time series. Therefore, this study aims to model energy sector stock returns in Indonesia using the Non-Homogeneous Markov Switching Autoregressive (NHMS-AR) approach with a focus on the transition probability between regimes influenced by exogenous variables. The data used are monthly logarithmic returns of PT Perusahaan Gas Negara Tbk (PGAS), PT Adaro Energy Indonesia Tbk (ADRO), and PT Medco Energi Internasional Tbk (MEDC) for the period September 2008 to December 2024. The exogenous variables used include the Climate Risk Index, Geopolitical Risk (GPR), and Global Economic Policy Uncertainty (GEPU). The NHMS-AR model is implemented with the assumption that exogenous variables influence the probability of regime shifts, while the autoregressive structure in each regime is homogeneous. The results show that the dynamics of energy sector stock returns can be represented by two hidden regimes: a stable regime and a volatile regime. Transition probability estimates indicate that CRI and GEPU increase the probability of switching between regimes, whereas GPR exhibits an asymmetric effect, depending on the direction of the transition. Furthermore, the volatile regime has a higher degree of persistence than the stable regime. The main contribution of this study lies in the application of NHMS-AR with non-homogeneous transition probabilities to Indonesian energy sector stocks, as well as in presenting empirical evidence on the role of external factors in shaping regime switching dynamics in emerging markets.

References

Agustina, L., Gunawan, Y., & Chandra, W. (2018). The Impact of Tax Amnesty Announcement towards Share Performance and Market Reaction in Indonesia. Accounting and Finance Research, 7(2), 39. https://doi.org/10.5430/afr.v7n2p39

Ahmad, W., & Kamaiah, B. (2010). Modeling Business Cycles in India: A Markov Switching Approach. The Asian Economic Review, 52(2), 1–14.

Ailliot, P., Bessac, J., Monbet, V., & Pène, F. (2015). Non-homogeneous hidden Markov-switching models for wind time series. Journal of Statistical Planning and Inference, 160, 75–88. https://doi.org/10.1016/j.jspi.2014.12.005

Aknouche, A., & Francq, C. (2022). Stationarity and ergodicity of Markov switching positive conditional mean models. Journal of Time Series Analysis, 43(3), 436–459. https://doi.org/10.1111/jtsa.12621

Ashariansyah, A. R., Iriawan, N., & Mukarromah, A. (2020). Pemodelan Harga Cryptocurrency Menggunakan Markov Switching Autoregressive. Inferensi, 3(2), 81. https://doi.org/10.12962/j27213862.v3i2.7726

Botha, I., & Saayman, A. (2022). Forecasting tourism demand cycles: A Markov switching approach. International Journal of Tourism Research, 24(6), 759–774. https://doi.org/10.1002/jtr.2543

Cavicchioli, M. (2025). Forecasting Markov switching vector autoregressions: Evidence from simulation and application. Journal of Forecasting, 44(1), 136–152. https://doi.org/10.1002/for.3180

Chavez-Martinez, G., Agarwal, A., Khalili, A., & Ahmed, S. E. (2023). Penalized Estimation of Sparse Markov Regime-Switching Vector Auto-Regressive Models. Technometrics, 65(4), 553–563. https://doi.org/10.1080/00401706.2023.2201336

Febiyola, T., Utari, R. S., Panggabean, B. T., & Agustina, R. (2024). Analisis Surat Berharga Sebagai Alat Investasi. Deposisi : Jurnal Publikasi Ilmu Hukum, 2(3), 75-86. https://doi.org/10.59581/deposisi.v2i3.3688

Gitman, L. J., Joehnk, M. D., Smart, S., Juchau, R. H., Ross, D. G., & Wright, S. (2011). Fundamentals of investing. Pearson Australia.

Hafer, R. W., & Hein, S. E. (2007). The Stock Market. Greenwood Press.

Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357. https://doi.org/10.2307/1912559

Handayani, L. P. S., & Prastyo, D. D. (2020). Analisis Likuiditas Saham Sektor Perbankan di BEI Menggunakan Analisis Intervensi dan Autoregressive Conditional Duration. Inferensi, 3(1), 47. https://doi.org/10.12962/j27213862.v3i1.6881

Hu, Z., & Borjigin, S. (2024). The amplifying role of geopolitical Risks, economic policy Uncertainty, and climate risks on Energy-Stock market volatility spillover across economic cycles. The North American Journal of Economics and Finance, 71, 102114. https://doi.org/10.1016/j.najef.2024.102114

Kungwani, M. P. (2014). Risk Management-An Analytical Study. 16, 83–89.

Li, W., & Zhang, C. (2023). A Markov-switching hidden heterogeneous network autoregressive model for multivariate time series data with multimodality. IISE Transactions, 55(11), 1118–1132. https://doi.org/10.1080/24725854.2022.2148780

Oktavia, I., & Nugraha, K. G. S. (2018). Faktor-Faktor Yang Mempengaruhi Harga Saham. UNEJ E-Proceeding.

Prihartani, W., Rasyid, D. A., & Iriawan, N. (2020). Stock Daily Price Regime Model Detection using Markov Switching Model. MATEMATIKA, 36(2), 127–140. https://doi.org/10.11113/matematika.v36.n2.1189

Segarra, J., Julià, C., & Valls, C. (2021). Pre-Service Teachers’ Belief About the Efficacy of Their Mathematics Teaching: A Case Study. European Journal of Science and Mathematics Education, 9(4), 199-210. https://doi.org/10.30935/scimath/11236

Spezia, L., Gibbs, S., Glendell, M., Helliwell, R., Paroli, R., & Pohle, I. (2023). Bayesian analysis of high-frequency water temperature time series through Markov switching autoregressive models. Environmental Modelling & Software, 167, 105751. https://doi.org/10.1016/j.envsoft.2023.105751

Tiara, F., Rai Sri, U., Beby Triana, P., & Rina, A. (2024). Analisis Surat Berharga Sebagai Alat Investasi. Deposisi: Jurnal Publikasi Ilmu Hukum, 2(3), 75-86. https://doi.org/10.59581/deposisi.v2i3.3688

Wei, W. W. S. (2019). Multivariate time series analysis and applications. John Wiley and Sons Ltd.

Downloads

Published

2025-12-30

How to Cite

Fandisyah, A. F., Iriawan, N., & Fithriasari, K. (2025). Pemodelan Saham Sektor Energi Menggunakan Non-Homogeneous Markov Switching Autoregressive (NHMS-AR) dengan Probabilitas Transisi Non-Homogeneous . Numerical: Jurnal Matematika Dan Pendidikan Matematika, 9(2), 328–342. https://doi.org/10.25217/numerical.v9i2.7159

Issue

Section

Artikel Matematika