PERFORMANCE OF THE ACCURACY OF FORECASTING THE CONSUMER PRICE INDEX USING THE GARCH AND ANN METHODS

  • Dian Kurniasari Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
  • Zaenal Mukhlisin Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
  • Wamiliana Wamiliana Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
  • Warsono Warsono Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
Keywords: Heteroskedasticity, Consumer Price Index, GARCH, ANN

Abstract

The Consumer Price Index (CPI) is the most widely used indicator of the inflation rate. Then, the value of CPI in the future must be known to be the basis of the government's making appropriate and accurate policies. The CPI data used in this study was taken from the Central Statistics Agency (BPS) from January 2006 - to December 2021. The CPI data used has a data pattern containing symptoms of heteroskedasticity. To overcome the symptoms of heteroskedasticity, the author uses the GARCH and ANN methods to determine the value of CPI in the future. The GARCH method can overcome the symptoms of heteroskedasticity in the time series forecasting process, while ANN is an effective method in time series forecasting because of its high level of accuracy. In this study, mape error calculation results were obtained with the ARIMA model (4,2,2)~GARCH(1.1) of 3.19% or with an accuracy of 96.81%, and ANN using two hidden layers of 1.24% or with an accuracy of 98.76%. Thus, the results of this study show that the ANN method is the best method of forecasting Consumer Price Index (CPI) data.

Downloads

Download data is not yet available.

References

D. A. Lubis, M. B. Johra and G. Darmawan, “Peramalan Indeks Harga Konsumen dengan Metode Singular Spectral Analysis (SSA) dan Seasonal Autoregressive Integrated Moving Average (SARIMA),” Jurnal Matematika "Mantik", vol. 3, no. 2, pp. 74-82, 2017.

B. Ramadan, "Comparison Analysis of ARIMA Methods and GARCH Methods for Predicting Stock Prices (Case Study on Telecommunication Companies Listed on the Indonesia Stock Exchange Period May 2012-April 2013," e-Proceeding of Management, vol. 2, no. 1, pp. 61-68, 2015.

W. Enders, Applied Econometric Time Series, 4th Edition, New York: University of Alabama, 2014.

R. Muharsyah, “Prakiraan Curah Hujan Tahun 2008 Menggunakan Teknik Neural Network dengan Prediktor Sea Surface Temperature (SST) di Stasiun Mopah Merauke,” Journal Meteorologi dan Geofisika, vol. 10, no. 1, pp. 10-21, 2009.

G. Zhang, B. E. Patuwo and M. Y. Hu, "Forecasting With Artificial Neural Networks: The State Of The Art," International Journal Of Forecasting, vol. 14, pp. 35-62, 1998.

H. B. Notobroto and A. R. M. Izati, “Penerapan Metode Artificial Neural Network dalam Peramalan Jumlah Kunjungan Ibu Hamil (K4),” Journal Biometrika dan Kependudukan, vol. 8, no. 1, pp. 11-20, 2019.

S. Kustiara, I. M. Nur and T. W. Utami, "ARCH GARCH Method of Forecasting Consumer Price Index (CPI) in Semarang," Jurnal Litbang Edusaintech, vol. 1, no. 1, pp. 14-22, 2020.

J. D. H. Simanjuntak, I. and A. A. Rohmawati, "Comparison Of Stock Prediction With Generalized Autoregressive Conditional Heteroscedasticity Model And Artificial Neural Network," eProceedings of Engineering, vol. 6, no. 2, pp. 9915-9922, 2019.

F. Alamsyah, B. Suprianto, W. Aribowo and A. C. Hermawan, “Peramalan Beban Listrik Harian Menggunakan Artificial Neural Network,” Journal Teknik Elektro, vol. 10, no. 1, pp. 203-209, 2021.

A. P. Desvina and I. O. Meijer, “Penerapan Model ARCH/GARCH untuk Peramalan Nilai Tukar Petani,” Jurnal Sains Matematika dan Statistika, vol. 4, no. 1, pp. 43-54, 2018.

S. Makridakis, S. Wheelwright and R. J. Hyndman, "Forecasting: Methods and Applications," Journal of the Operational Research Society, vol. 35, no. 1, pp. 344-346, 1999.

D. C. Montgomery, C. L. Jennings and M. Kulahci, Introduction to Time-series Analysis and Forecasting, 2nd Edition, United States of America: Wiley, 2015.

D. N. Gujarati, Basic Econometrics, 4th Edition, New York: McGraw Hill, 2004.

G. E. P. Box, G. M. Jenkins and G. C. Reinsel, Time-series Analysis, Forecasting and Control, 3rd Edition, United States of America: Prentice-Hall, 1994.

H. D. Marta, "Sifat Asimetris Model Prediksi Generalized Autoregressive Conditional Heteroscedasticity (GARCH) dan Stochastic Volatility Autoregressive (SVAR)," eProceedings of Engineering, vol. 3, no. 2, pp. 3732-3745, 2016.

L. W. Pandjaitan, Dasar-dasar Komputasi Cerdas, Yogyakarta: Publisher Andi, 2007.

J. J. Siang, Jaringan Syaraf Tiruan dan Pemrogramannya Menggunakan Matlab, Yogyakarta: Publisher Andi, 2005.

J. E. Hanke and D. W. Wichern, Business Forecasting, 9th Edition, United States of America: Pearson, 2014.

P. C. Chang, C. H. Liu and Y. Y. Wang, "The Development of a Weighted Evolving Fuzzy Neural Network for PCB Sales Forecasting," Expert Systems with Applications, vol. 32, pp. 86-96, 2007.

Published
2023-06-11
How to Cite
[1]
D. Kurniasari, Z. Mukhlisin, W. Wamiliana, and W. Warsono, “PERFORMANCE OF THE ACCURACY OF FORECASTING THE CONSUMER PRICE INDEX USING THE GARCH AND ANN METHODS”, BAREKENG: J. Math. & App., vol. 17, no. 2, pp. 0931-0944, Jun. 2023.