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r-filters: a Hodrick-Prescott Filter Generalization

Author

Listed:
  • Fabio Araujo
  • Marta Baltar Moreira Areosa
  • José Alvaro Rodrigues Neto
Abstract
A two-parameter family of filters is proposed in which the HP filter is considered as the lowest order member. While the HP filter converges to linear time trend as the smoothing factor grows, the higher order members of the proposed family converge to higher order polynomial time trends. The filter order - the new parameter introduced - allows to set the filter selectivity. Furthermore, two different methods to implement these filters are presented.

Suggested Citation

  • Fabio Araujo & Marta Baltar Moreira Areosa & José Alvaro Rodrigues Neto, 2003. "r-filters: a Hodrick-Prescott Filter Generalization," Working Papers Series 69, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:69
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    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps69.pdf
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    Citations

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    Cited by:

    1. Dermoune Azzouz & Djehiche Boualem & Rahmania Nadji, 2009. "Multivariate Extension of the Hodrick-Prescott Filter-Optimality and Characterization," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 13(3), pages 1-35, May.
    2. Sergio R. S. Souza & Benjamin M. Tabak & Daniel O. Cajueiro, 2008. "Long-Range Dependence In Exchange Rates: The Case Of The European Monetary System," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 199-223.
    3. Thiago Trafane Oliveira Santos, 2020. "A General Characterization of the Capital Cost and the Natural Interest Rate: an application for Brazil," Working Papers Series 524, Central Bank of Brazil, Research Department.
    4. Benjamin Miranda Tabak, 2003. "Monetary Policy Surprises and the Brazilian Term Structure of Interest Rates," Working Papers Series 70, Central Bank of Brazil, Research Department.
    5. Araújo, Aloísio Pessoa de & Leon, Márcia Saraiva, 2003. "Speculative attacks on debts and optimum currency area: a welfare analysis," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 514, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Mauricio S. Bugarin & Fabia A. de Carvalho, 2005. "Comment on ‘Market discipline and monetary policy’ by Carl Walsh," Oxford Economic Papers, Oxford University Press, vol. 57(4), pages 732-739, October.
    7. Alexandre A. Tombini & Sergio A. Lago Alves, 2006. "The Recent Brazilian Disinflation Process and Costs," Working Papers Series 109, Central Bank of Brazil, Research Department.
    8. Arminio Fraga & Ilan Goldfajn & André Minella, 2004. "Inflation Targeting in Emerging Market Economies," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 365-416, National Bureau of Economic Research, Inc.
    9. Minella, Andre & de Freitas, Paulo Springer & Goldfajn, Ilan & Muinhos, Marcelo Kfoury, 2003. "Inflation targeting in Brazil: constructing credibility under exchange rate volatility," Journal of International Money and Finance, Elsevier, vol. 22(7), pages 1015-1040, December.
    10. Marcelo Kfoury Muinhos & Márcio I. Nakane, 2006. "Comparing equilibrium real interest rates: different approaches to measure Brazilian rates," Working Papers Series 101, Central Bank of Brazil, Research Department.
    11. Leonardo Soriano de Alencar & Márcio I. Nakane, 2004. "Bank Competition, Agency Costs and the Performance of the Monetary Policy," Working Papers Series 81, Central Bank of Brazil, Research Department.
    12. André Soares Loureiro & Fernando de Holanda Barbosa, 2004. "Risk Premia for Emerging Markets Bonds: Evidence from Brazilian Government Debt, 1996-2002," Working Papers Series 85, Central Bank of Brazil, Research Department.
    13. Sergio A. L. Alves & Waldyr D. Areosa, 2005. "Targets and Inflation Dynamics," Working Papers Series 100, Central Bank of Brazil, Research Department.
    14. Alberto Ronchi Neto & Osvaldo Candido, 2020. "Measuring the neutral real interest rate in Brazil: a semi-structural open economy framework," Empirical Economics, Springer, vol. 58(2), pages 651-667, February.
    15. Carlos Hamilton Vasconcelos Araujo & Osmani Teixeira de Carvalho Guillén, 2008. "Previsão de inflação com incerteza do hiato do produto no Brasil," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807211138520, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    16. Carlos Hamilton Vasconcelos Araujo & Marta Baltar Moreira Areosa & Osmani Teixera de Carvalho Guillén, 2004. "Estimating Potential Output And The Output Gap For Brazil," Anais do XXXII Encontro Nacional de Economia [Proceedings of the 32nd Brazilian Economics Meeting] 041, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].

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