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A spectral analysis of New Zealand output gaps using Fourier and wavelet techniques

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Author Info
Paul Conway
David Frame (Reserve Bank of New Zealand)

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Abstract

This paper uses frequency domain techniques to illustrate the properties of various measures of New Zealand's output gap. Measures of the output gap are estimated using a number of different methods: a Structural VAR model, a multivariate unobserved components model, the Hodrick-Prescott filter, a multivariate time series filter, and a linear time trend filter. Spectral densities, calculated using the Fourier transform, highlight a number of important differences in the cyclical properties of the various output gap measures. However, the Fourier transform requires time series to be (weakly) stationary. This may be an unreasonable assumption for New Zealand data given our recent economic history. Accordingly, the paper also uses time-dependant spectra, calculated using wavelet analysis, to further illustrate the cyclical characteristics of the different techniques used to estimate the output gap.

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Paper provided by Reserve Bank of New Zealand in its series Reserve Bank of New Zealand Discussion Paper Series with number DP2000/06.

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Length: 20p
Date of creation: Jun 2000
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Handle: RePEc:nzb:nzbdps:2000/06

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. James Ramsey & Camille Lampart, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 3(1), pages 23-42. [Downloadable!] (restricted)
  2. Cogley, Timothy & Nason, James M., 1995. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 253-278. [Downloadable!] (restricted)
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  3. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-47, July-Sept. [Downloadable!] (restricted)
  4. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May. [Downloadable!] (restricted)
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  5. Jane T. Haltmaier, 1996. "Inflation-adjusted potential output," International Finance Discussion Papers 561, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  6. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
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  7. Cochrane, John H, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 109(1), pages 241-65, February. [Downloadable!] (restricted)
  8. Paul Conway & Ben Hunt, 1997. "Estimating potential output: a semi-structural approach," Reserve Bank of New Zealand Discussion Paper Series G97/9, Reserve Bank of New Zealand. [Downloadable!]
  9. Chantal Dupasquier & Alain Guay & Pierre St-Amant, 1997. "A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap," Working Papers 97-5, Bank of Canada. [Downloadable!]
  10. Gregory, Allan W & Smith, Gregor W, 1995. "Business Cycle Theory and Econometrics," Economic Journal, Royal Economic Society, vol. 105(433), pages 1597-1608, November. [Downloadable!] (restricted)
  11. Marianne Baxter & Robert G. King, 1995. "Measuring Business Cycles Approximate Band-Pass Filters for Economic Time Series," NBER Working Papers 5022, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Working Papers 02-3, Bank of Canada. [Downloadable!]
  2. Patrick Crowley, 2005. "An intuitive guide to wavelets for economists," Econometrics 0503017, EconWPA. [Downloadable!]
    Other versions:
  3. Iris Claus, 2000. "Is the output gap a useful indicator of inflation?," Reserve Bank of New Zealand Discussion Paper Series DP2000/05, Reserve Bank of New Zealand. [Downloadable!]
  4. Victor Gaiduch & Benjamin Hunt, 2000. "Inflation targeting under potential output uncertainty," Reserve Bank of New Zealand Discussion Paper Series DP2000/08, Reserve Bank of New Zealand. [Downloadable!]
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