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Using Wavelets to decompose time-frequency economic relations

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Abstract

Economic agents simultaneously operate at different horizons. Many economic processes are the result of the actions of several agents with different term objectives. Therefore, economic time-series is a combination of components operating on different frequencies. Several questions about the data are connected to the understanding of the time-series behavior at different frequencies. While Fourier analysis is not appropriate to study the cyclical nature of economic time-series, because these are rarely stationary, wavelet analysis performs the estimation of the spectral characteristics of a time-series as a function of time. In spite of all its advantages, wavelets are hardly ever used in economics. The purpose of this paper is to show that cross wavelet analysis can be used to directly study the interactions different time-series in the time-frequency domain. We use wavelets to analyze the impact of interest rate price changes on some macroeconomic variables: Industrial Production, Inflation and the monetary aggregates M1 and M2. Specifically, three tools are utilized: the wavelet power spectrum, wavelet coherency and wavelet phase-difference. These instruments illustrate how the use of wavelets may help to unravel economic time-frequency relations that would otherwise remain hidden.

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Bibliographic Info

Paper provided by NIPE - Universidade do Minho in its series NIPE Working Papers with number 17/2007.

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Date of creation: 2007
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Handle: RePEc:nip:nipewp:17/2007

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Keywords: Monetary policy; time-frequency analysis; non-stationary time series; wavelets; cross wavelets; wavelet coherency.;

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  1. Rasche, Robert H., 1987. "M1 -- Velocity and money-demand functions: Do stable relationships exist?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 27(1), pages 9-88, January.
  2. Leduc, Sylvain & Sill, Keith, 2004. "A quantitative analysis of oil-price shocks, systematic monetary policy, and economic downturns," Journal of Monetary Economics, Elsevier, vol. 51(4), pages 781-808, May.
  3. Ramsey James B. & Lampart Camille, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-22, April.
  4. Robert B. Barsky & Lutz Kilian, 2001. "Do We Really Know that Oil Caused the Great Stagflation? A Monetary Alternative," NBER Working Papers 8389, National Bureau of Economic Research, Inc.
  5. Olivier Blanchard & John Simon, 2001. "The Long and Large Decline in U.S. Output Volatility," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 32(1), pages 135-174.
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Citations

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Cited by:
  1. Jozef Barunik & Lukas Vacha, 2013. "Contagion among Central and Eastern European stock markets during the financial crisis," Papers 1309.0491, arXiv.org, revised Sep 2013.
  2. Ladislav Kristoufek, 2013. "Fractal Markets Hypothesis and the Global Financial Crisis: Wavelet Power Evidence," Papers 1310.1446, arXiv.org.
  3. Luís Aguiar-Conraria & Maria Soares, 2011. "Oil and the macroeconomy: using wavelets to analyze old issues," Empirical Economics, Springer, vol. 40(3), pages 645-655, May.
  4. Luís Aguiar-Conraria & Manuel M. F. Martins & Maria Joana Soares, 2010. "The yield curve and the macro-economy across time and frequencies," CEF.UP Working Papers 1004, Universidade do Porto, Faculdade de Economia do Porto.
  5. Tiwari, Aviral Kumar, 2012. "Decomposing Time-Frequency Relationship between Interest Rates and Share Prices in India through Wavelets," MPRA Paper 39693, University Library of Munich, Germany.
  6. Rita Sousa & Luís Aguiar-Conraria & Maria Joana Soares, 2014. "Carbon Financial Markets: a time-frequency analysis of CO2 price drivers," NIPE Working Papers 03/2014, NIPE - Universidade do Minho.
  7. Tsangyao Chang & Xiao-lin Li & Stephen M. Miller & Mehmet Balcilar & Rangan Gupta, 2013. "The Co-Movement and Causality between the U.S. Real Estate and Stock Markets in the Time and Frequency Domains," Working papers 2013-34, University of Connecticut, Department of Economics.
  8. Zied Ftiti & Aviral Tiwari & Amél Belanès, 2014. "Tests of Financial Market Contagion- Evolutionary Cospectral Analysis V.S. Wavelet Analysis," Working Papers 2014-062, Department of Research, Ipag Business School.
  9. Yung-hsiang Ying & Koyin Chang & Ginny ju-ann Yang & Chen-hsun Lee, 2014. "Measuring co-movement of globalization and democratization in the time–frequency space," Economics Bulletin, AccessEcon, vol. 34(1), pages 206-219.
  10. Aviral Kumar Tiwari & Arif Billah Dar & Niyati Bhanja, 2014. "Inflation-Industrial Growth Nexus in India – A Revisit Through Continuous Wavelet Transform," Central Bank Review, Research and Monetary Policy Department, Central Bank of the Republic of Turkey, vol. 14(2), pages 1-11.
  11. Buerhan Saiti & Azlan Ali & Naziruddin Abdullah & Sulaiman Sajilan, 2014. "Palm Oil Price, Exchange Rate, and Stock Market: A Wavelet Analysis on the Malaysian Market," Eurasian Journal of Economics and Finance, Eurasian Publications, vol. 2(1), pages 13-27.
  12. Luís Francisco Aguiar & Pedro C. Magalhães & Maria Joana Soares, 2010. "On Waves in War and Elections Wavelet Analysis of Political Time-Series," NIPE Working Papers 1/2010, NIPE - Universidade do Minho.
  13. Gazi Salah Uddin & Mohamed Arouri & Aviral Kumar Tiwari, 2014. "Co-movements between Germany and International Stock Markets: Some New Evidence from DCC-GARCH and Wavelet Approaches," Working Papers 2014-143, Department of Research, Ipag Business School.
  14. Gazi Salah Uddin & Aviral Kumar Tiwari, 2013. "Measuring co-movement of oil price and exchange rate differential in Bangladesh," Economics Bulletin, AccessEcon, vol. 33(3), pages 1922-1930.
  15. Niyati Bhanja & Arif Billah Dar & Aviral Kumar Tiwari & Olaolu Richard Olayeni, 2012. "Are Stock Prices Hedge Against Inflation? A Revisit over Time and Frequencies in India," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 4(3), pages 199-213, September.
  16. Shahbaz, Muhammad & Tiwari, Aviral Kumar & Tahir, Mohammad Iqbal, 2013. "Analyzing Time-Frequency Relationship between Oil Price and Exchange Rate in Pakistan through Wavelets," MPRA Paper 48086, University Library of Munich, Germany, revised 05 Jul 2013.
  17. Antonis Michis, 2011. "Multiscale Analysis of the Liquidity Effect," Working Papers 2011-5, Central Bank of Cyprus.

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