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An intuitive guide to wavelets for economists

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  • Crowley, Patrick

    ()
    (College of Business, Texas A&M University)

Abstract

Wavelet analysis, although used extensively in disciplines such as signal processing, engineering, medical sciences, physics and astronomy, has not yet fully entered the economics discipline. In this discussion paper, wavelet analysis is introduced in an intuitive manner, and the existing economics and finance literature that utilises wavelets is explored. Extensive examples of exploratory wavelet analysis are given, many using Canadian, US and Finnish industrial production data. Finally, potential future applications for wavelet analysis in economics are also discussed and explored.

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File URL: http://www.suomenpankki.fi/en/julkaisut/tutkimukset/keskustelualoitteet/Documents/0501netti.pdf
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Bibliographic Info

Paper provided by Bank of Finland in its series Research Discussion Papers with number 1/2005.

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Length: 71 pages
Date of creation: 01 Jan 2005
Date of revision:
Publication status: Published as Crowley, Patrick, 'An intuitive guide to wavelets for economists' in Journal of Economic Surveys, 2007, pages 207-267.
Handle: RePEc:hhs:bofrdp:2005_001

Note: Revised version published in Journal of Economic Surveys, 2007.
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Postal: Bank of Finland, P.O. Box 160, FI-00101 Helsinki, Finland
Web page: http://www.suomenpankki.fi/en/
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Related research

Keywords: statistical methodology; multiresolution analysis; wavelets; business cycles; economic growth;

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References

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  1. Viviana Fernandez, 2004. "Time-Scale Decomposition of Price Transmission in International Markets," Documentos de Trabajo 189, Centro de Economía Aplicada, Universidad de Chile.
  2. 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.
  3. Jensen, Mark J., 2000. "An alternative maximum likelihood estimator of long-memory processes using compactly supported wavelets," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 361-387, March.
  4. Kim Sangbae & In Francis Haeuck, 2003. "The Relationship Between Financial Variables and Real Economic Activity: Evidence From Spectral and Wavelet Analyses," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(4), pages 1-18, December.
  5. Mark J. Jensen, 1997. "Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter," Econometrics 9710002, EconWPA.
  6. Mehmet Dalkir, 2004. "A new approach to causality in the frequency domain," Economics Bulletin, AccessEcon, vol. 3(44), pages 1-14.
  7. repec:ebl:ecbull:v:3:y:2004:i:44:p:1-14 is not listed on IDEAS
  8. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
  9. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
  10. Andrew Hughes Hallett & Christian R. Richter, 2004. "Spectral Analysis as a Tool for Financial Policy: An Analysis of the Short-End of the British Term Structure," Computational Economics, Society for Computational Economics, vol. 23(3), pages 271-288, 04.
  11. Tkacz, Greg, 2000. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Working Papers 00-5, Bank of Canada.
  12. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Working Papers 02-3, Bank of Canada.
  13. Camba-Méndez, Gonzalo & Kapetanios, George, 2001. "Spectral based methods to identify common trends and common cycles," Working Paper Series 0062, European Central Bank.
  14. Ramsey, James B. & Lampart, Camille, 1998. "Decomposition Of Economic Relationships By Timescale Using Wavelets," Macroeconomic Dynamics, Cambridge University Press, vol. 2(01), pages 49-71, March.
  15. Neumann, Manfred J. M. & Greiber, Claus, 2004. "Inflation and core money growth in the euro area," Discussion Paper Series 1: Economic Studies 2004,36, Deutsche Bundesbank, Research Centre.
  16. Enrico Capobianco, 2004. "Multiscale Analysis of Stock Index Return Volatility," Computational Economics, Society for Computational Economics, vol. 23(3), pages 219-237, 04.
  17. Collard, Fabrice, 1998. "Spectral and persistence properties of cyclical growth," Journal of Economic Dynamics and Control, Elsevier, vol. 23(3), pages 463-488, November.
  18. Paul Conway & David Frame, 2000. "A spectral analysis of New Zealand output gaps using Fourier and wavelet techniques," Reserve Bank of New Zealand Discussion Paper Series DP2000/06, Reserve Bank of New Zealand.
  19. Hahn Shik Lee, 2004. "International transmission of stock market movements: a wavelet analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 11(3), pages 197-201.
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Citations

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Cited by:
  1. Ahamada, Ibrahim & Jolivaldt, Philippe, 2013. "Time-spectral density and wavelets approaches. Comparative study. Applications to SP500 returns and US GDP," Economic Modelling, Elsevier, vol. 31(C), pages 460-466.
  2. Roger Bowden & Jennifer Zhu, 2010. "Multi-scale variation, path risk and long-term portfolio management," Quantitative Finance, Taylor & Francis Journals, vol. 10(7), pages 783-796.
  3. Zagaglia, Paolo, 2006. "The Predictive Power of the Yield Spread under the Veil of Time," Research Papers in Economics 2006:4, Stockholm University, Department of Economics.
  4. Alper Ozun & Atilla Cifter, 2008. "Modeling long-term memory effect in stock prices: A comparative analysis with GPH test and Daubechies wavelets," Studies in Economics and Finance, Emerald Group Publishing, vol. 25(1), pages 38-48, March.
  5. Carla Ysusi, 2009. "Analysis of the Dynamics of Mexican Inflation Using Wavelets," Working Papers 2009-09, Banco de México.
  6. Crowley , Patrick & Maraun , Douglas & Mayes , David, 2006. "How hard is the euro are core? An evaluation of growth cycles using wavelet analysis," Research Discussion Papers 18/2006, Bank of Finland.
  7. Vuorenmaa , Tommi, 2005. "A wavelet analysis of scaling laws and long-memory in stock market volatility," Research Discussion Papers 27/2005, Bank of Finland.
  8. Crowley , Patrick & Lee , Jim, 2005. "Decomposing the co-movement of the business cycle: a time-frequency analysis of growth cycles in the euro area," Research Discussion Papers 12/2005, Bank of Finland.
  9. Reese, Simon & Li, Yushu, 2013. "Testing for Structural Breaks in the Presence of Data Perturbations: Impacts and Wavelet Based Improvements," Working Papers 2013:36, Lund University, Department of Economics.

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