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Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator

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Author Info
Tkacz, Greg

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Abstract

The debate on the order of integration of interest rates has long focused on the I(1) versus I(0) distinction. In this paper, we use instead the wavelet OLS estimator of Jensen (1999) to estimate the fractional integration parameters of several interest rates for the United States and Canada from 1948 to 1999. We find that most rates are mean-reverting in the very long run, with the fractional order of integration increasing with the term to maturity. The speeds of mean-reversion are lower in Canada, due likely to a positive country-specific risk premium. We also demonstrate that yield spreads contain noticeable persistence, indicating that these are also not strict I(0) processes. The consequences of these findings are that shocks to most interest rates and their spreads are very long-lasting, yet not necessarily infinite.

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File URL: http://www.bankofcanada.ca/en/res/wp/2000/wp00-5.pdf
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Paper provided by Bank of Canada in its series Working Papers with number 00-5.

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Length: 31 pages
Date of creation: 2000
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Handle: RePEc:bca:bocawp:00-5

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Related research
Keywords: Econometric and statistical methods; Interest rates;

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates

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  1. Crowley, Patrick, 2005. "An intuitive guide to wavelets for economists," Research Discussion Papers 1/2005, Bank of Finland. [Downloadable!]
    Other versions:
  2. Luis A. Gil-Alana, 2003. "Strong dependence in the real interest rates," Applied Economics, Taylor and Francis Journals, vol. 35(2), pages 119-124, January. [Downloadable!] (restricted)
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