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

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  • Tkacz Greg

    (Bank of Canada)

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 instead use 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, likely because of a positive country-specific risk premium. We also demonstrate that interest rate yield spreads involve noticeable persistence, indicating that these are also not strict I(0) processes. One consequence of these findings is that shocks to most interest rates and their spreads are very long lasting, yet not necessarily infinite.

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Bibliographic Info

Article provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 5 (2001)
Issue (Month): 1 (April)
Pages: 1-15

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Handle: RePEc:bpj:sndecm:v:5:y:2001:i:1:n:2

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Cited by:
  1. Jan Beran & Dirk Ocker, 2002. "Pricing of cap-interest rates based on renewal processes," CoFE Discussion Paper 02-10, Center of Finance and Econometrics, University of Konstanz.
  2. Vuorenmaa , Tommi, 2005. "A wavelet analysis of scaling laws and long-memory in stock market volatility," Research Discussion Papers 27/2005, Bank of Finland.
  3. Adam Golinski & Peter Spencer, 2012. "The Meiselman forward interest rate revision regression as an Affine Term Structure Model," Discussion Papers 12/27, Department of Economics, University of York.
  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. Høg, Esben & Frederiksen, Per & Schiemert, Daniel, 2008. "On the Generalized Brownian Motion and its Applications in Finance," Finance Research Group Working Papers F-2008-07, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  6. Jin, Hyun J. & Elder, John & Koo, Won W., 2006. "A reexamination of fractional integrating dynamics in foreign currency markets," International Review of Economics & Finance, Elsevier, vol. 15(1), pages 120-135.
  7. Patrick M. Crowley, 2005. "An intuitive guide to wavelets for economists," GE, Growth, Math methods 0508009, EconWPA.
  8. Coleman, Simeon & Sirichand, Kavita, 2012. "Fractional integration and the volatility of UK interest rates," Economics Letters, Elsevier, vol. 116(3), pages 381-384.
  9. Cifter, Atilla & Yilmazer, Sait & Cifter, Elif, 2009. "Analysis of sectoral credit default cycle dependency with wavelet networks: Evidence from Turkey," Economic Modelling, Elsevier, vol. 26(6), pages 1382-1388, November.
  10. Esben Hoeg & Per Frederiksen, 2006. "The Fractional OU Process: Term Structure Theory and Application," Computing in Economics and Finance 2006 194, Society for Computational Economics.
  11. Luis Gil-Alana, 2003. "Strong dependence in the real interest rates," Applied Economics, Taylor & Francis Journals, vol. 35(2), pages 119-124.
  12. Laurini, Márcio Poletti & Hotta, Luiz Koodi, 2013. "Indirect Inference in fractional short-term interest rate diffusions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 94(C), pages 109-126.
  13. Matthew Greenwood-Nimmo & Yongcheol Shin, 2010. "Shifting Preferences at the Fed: Evidence from Rolling Dynamic Multipliers and Impulse Response Analysis," IMK Working Paper 16-2010, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
  14. In, Francis & Kim, Sangbae, 2006. "Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis," Journal of Multinational Financial Management, Elsevier, vol. 16(4), pages 411-423, October.
  15. Høg, Espen P. & Frederiksen, Per H., 2006. "The Fractional Ornstein-Uhlenbeck Process: Term Structure Theory and Application," Finance Research Group Working Papers F-2006-01, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  16. Coleman, Simeon, 2012. "Where Does the Axe Fall? Inflation Dynamics and Poverty Rates: Regional and Sectoral Evidence for Ghana," World Development, Elsevier, vol. 40(12), pages 2454-2467.
  17. Alagidede, Paul & Coleman, Simeon & Cuestas, Juan Carlos, 2012. "Inflationary shocks and common economic trends: Implications for West African monetary union membership," Journal of Policy Modeling, Elsevier, vol. 34(3), pages 460-475.

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