Analisis Pertumbuhan Ekonomi dan Volatilitas dengan Menggunakan Metode Wavelet

Authors

  • Ahmad Fikri Departemen Pendidikan Matematika FPMIPA UPI Author
  • Fitriani Agustina Departemen Pendidikan Matematika FPMIPA UPI Author
  • Bambang Avip Priatna Departemen Pendidikan Matematika FPMIPA UPI Author

Keywords:

Growth, Volatility, Wavelet Varians, Wavelet Correlation, WRNN

Abstract

Growth Economic known as Growth is one of the most important thing in categorical or describing the condition a country. It happens as growth and volatility analysis is one of interesting topics to be researched. Although there are several method used for growth analysis and volatility, yet those isnt filled the characteristics of growth’s indicator, such stationarity, or short term and long term analysis. Wavelets are used to anticipate it, the ability to zoom in or zoom out are useful in short and long term analysis, and no stationarity assumption is one of the reason wavaelet are used lately.

In Time Series’s case wavelet present it to be two components such high frequency and low frequency, as the identification of accrelation phase of growth doesnt need to be bounded. Wavelet Varians, Wavelet Correlation, and WRNN (Wavelet Recurrent Neural Network) are a main tools in this undergraduated’s theses. Wavelet Varians is used for volatility analysis, Wavelet Correlation is used in co-movement analysis, and WRNN will predict the growth condition. Based on the the data proccesing using Matla R2015b, Indonesia is a the volatile country based on growth in short term, with the co-movement happened with Japan, Thailand, and Philippine, and also the proyectory of Indonesia’s IPI will increase.

ABSTRAK

Pertumbuhan Ekonomi merupakan hal yang paling penting dalam pengkategorian atau keadaan dalam suatu negara di dunia, menjadikan analisis pertumbuhan ekonomi dan volatilitas menjadikan topik yang selalu menarik untuk diteliti. Terdapat beberapa cara dalam analisis ekonomi, tetapi teknik tersebut masih belum dapat memenuhi karakteristik dari indikator-indikator pertumbuhan ekonomi dan volatilitas tersebut, contoh tidak stasioner, analisa jangka panjang ataupun pendek. Metode Wavelet digunakan untuk mengantisipasi hal tersebut, karena sifat wavelet yang dapat men-zoom in ataupun zoom out maka wavelet cocok untuk analisa jangka panjang ataupun pendek, dan tidak adanya asumsi yang perlu di penuhi dalam wavelet termasuk stasioneritas merupakan alasan mengapa wavelet digunakan.

Wavelet merupakan suatu metode yang sangat berguna untuk memperlajari karakteristik time – varying pada pertumbuhan ekonomi dengan detail yang sangat terperinci dan juga tidak diperlukannya asumsi stasioneritas. Dengan wavelet, kasus time series dijadikan dua komponen yaitu high frequency dan low frequency, sehingga dapat diidentifikasi fase perlambatan dan fase percepatan dari pertumbuhan ekonomi tanpa menggunakan batasan apapun. Wavelet Varians, Wavelet Korelasi dan WRNN (Wavelet Recurrent Neural Network) menjadi alat utama dalam skripsi ini. Wavelet Variansi yang akan menganalisa volatilitas, Wavelet Korelasi yang akan menganalisa co-movement, dan WRNN yang akan memproyeksi keadaan ekonominya. Berdasarkan hasil pengolah menggunakan software Matlab R2015b, Negara Indonesia merupakan negara yang bervolatilitas dalam pertumbuhan ekonomi jangka pendek, dengan co-movement terjadi dengan negara Jepang, Thailand, Philippine, dan dalam pemproyeksiannya nilai IPI Indonesia akan menaik.

References

A. Grossman., and J. Morlet. (1984). Decomposition of Hardy Function Into Square Integrable Wavelet of Constant Shape. SIAM Journal of Mathematics Analysis, 15, 723-726.

Afif, V. S. (t.thn.). Pemodelan Wavelet Recurrent Neural Network pada Data Nilai Tukar Rupiah terhadap Dolar AS (SKRIPSI). Semarang: Program Studi Statistika, Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Diponegoro.

Alpari. (2016, Mei 21). Macro Economic. Diambil kembali dari alpari-forex: http://alpari-forex.com/id/analytics/fundamental_analysis/macro_indicators/.

Aslaken, E., & Klauder, J. (1968). Unitary Representation of The Affine Group. Journal Math. Phys. 9, 206-211.

Barry Eichengreen, A. K. (1996). Contagious Currency Crises. Scandinavian Journal of Economics (1996). , 29-56.

Bhavesh Patel, D. R. (2011). Study of Comovement and Interdependence of Indian Stock Market with Selected Foreign Markets. Asian Journal of Research in Banking & Finance, Vol 1, Issue 3, 74-92.

Calvo, G. A. (1996). Inflows of Capital to Developing Countries in the 1990s. Journal of Economic Perspectives, 10(2), 123-139.

Case, K. E., Fair, R. C., & Oster, S. M. (2012). Principles of Economics. Pearson - Prentice Hall.

CMSForex. (2016, Mei 22). Industrial Production Index. Diambil kembali dari CMSForex: http://www.cmsfx.com/en/forex-education/Forex-Glossary/ industrial-production-index-(ipi)/.

Damodar N., Gujarati, Dawn. C. Porter. (2010). Dasar-dasar Ekonometrika (Vol. V). Jakarta: Salemba Empat.

Daubechies, I. (1992). Ten Lectures on Wavelet. Philadelphia, Pennsylvania: Society for Industrial and Applied Mathematics.

Dornbuch, R., & Fischer, S. (1994). Buku Pembangunan Ekonomi. Bogor: Penerbit Ghalia Indonesia.

Dunne, R. A. (2007). A Statistical Approach to Neural Network for Pattern Recognation. New Jersey: A. John Wiley & Sons, Inc., Publication.

Eurostat. (2016, Mei 22). Industrial production (volume) index overview. Diambil kembali dari eurostat Statistics Explained: http://ec.europa.eu/eurostat/statistics-explained/index.php/Industrial_ production_(volume)_index_overview#Methodology_.2F_Metadata.

Forexstarmoon. (2015, January 3). forexstarmoon. Dipetik December 15, 2015, dari forexstarmoon Website: http://forexstarmoon.com/fundamental- edukasi/mempelajari-indikator-negara-maju-dan-berkembang-bagian-1/.

Gencay, R., Selcuk, F., & Whitcher, B. (2002). An Introduction to Wavelet and Other Filtering Methods in Finance and Economics. San Diego: Academic Press.

Grossmann, A. and Morlet, J. (1984). Decomposition of Hardy Function Into Square Integrable Wavelet of Constant Shape. SIAM Journal of Mathematics Analysis, 15, 723 - 726.

Hausmann, R. P. (2005). Growth Acceleration. Journal of Economic Growth, 303-329.

Hnatkovska, V. A. (2004). Volatility and Growth. Policy Research Working Paper Serie 3184.

Hu, X., & Balasubramaniam, P. (2008). Recurrent Neural Network. Vienna: In-Teh.

Jaffard, S. M. (2001). Wavelet: Tools for Science & Technology. Society for Industrial Mathematics.

Jensen, M. (2000). An Alternative Maximum Likelihood Estimator of Long Memory Processes Using Compactly Supported Wavelet. Journal of Economic Dynamic & Control 24, 361 - 387.

Kreyszig, E. (1978). Introductory Functional Analysis with Applications. New York: John Wiley & Sons.

Lee, H. D. (2012). Contagion in International Stock Markets during The Sub Prime Mortgage Crisis. International Journal of Economics and Financial Issues, 41-53.

MacCluer, B. D. (2009). Elementary Functional Analysis. New York: Springer.

MacCluer, B. D. (2009). Elementary Functional Analysis. New York: Springer Science+Business Media .

Mankiw, N. G. (2008). Principles of Macroeconomic. Mason: South Western Cengage Learning.

Maslova, I. O. (2013). Growth and Volatility Analysis Using Wavelets. Policy Research Working Paper Series 6578.

Masson, P. R. (1998). Contagion: Monsoonal Effects, Spillovers, and Jumps Between Multiple Equilibria. IMF Working Paper No. 98/142.

Morlet, J., Arens, G., & Fourgeau, I. (1982). Wave Propagation and Sampling Theory. Geophysics 47, 203-236.

Neumann, M., & Greiber, C. (2004). Inflation and Core Money Growth in The Euro Area. Deutshe Bundesbank Discussion Paper 36.

Nicholas Barbris , Andrei Shleifer, & Jeffrey Wurgler. (2002). Comovement.

Paul, T. (1985). Ondelletes et Mecanique Quantique. Ph. D. Thesis, Universite de Marseille.

Pritchett, L. (2000). Understanding Patterns of Economic Growth. Searching for Hills among Plateaus, Mountains, and Plains.

R, D., & S, F. (1994). Buku Ekonomi Pembangunan . Bogor: Penerbit Ghalia Indonesia.

Ramsey, J., & Zhang, Z. (1997). The Analysis of Foreign Exchange Data Using Waveform Dictionaries. Journal of Empirical Finance 4, 341 - 372.

Ranta, M. (2010). Wavelet Multiresolution Analysis of Financial Time Series. (Thesis).

Rui A. Albuquerque, a. C. (2007). Economic News and International Stock Market Co-Movement. Working Paper.

Sukirno, S. (2015). Teori Pengantar Makroekonomi. Jakarta, DKI Jakarta, Indonesia: PT RAJAGRAFINDO PERSADA.

Tradingeconomics. (2016, Mei 16). Industrial Production Index Metadata. Diambil kembali dari tradingeconomics: http://www.tradingeconomics.com/.

The World Bank Group 2000. http://www.worldbank.org/

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Published

2017-05-01

How to Cite

Analisis Pertumbuhan Ekonomi dan Volatilitas dengan Menggunakan Metode Wavelet. (2017). Jurnal EurekaMatika, 5(1), 7-29. https://ejournal-science.upi.edu/jem/article/view/95