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On the cyclical properties of Hamilton's regression filter

Author

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  • Schüler, Yves S.
Abstract
Hamilton (2017) criticises the Hodrick and Prescott (1981, 1997) filter (HP filter) because of three drawbacks (i. spurious cycles, ii. end-of-sample bias, iii. ad hoc assumptions regarding the smoothing parameter) and proposes a regression filter as an alternative. I demonstrate that Hamilton's regression filter shares some of these drawbacks. For instance, Hamilton's ad hoc formulation of a 2-year regression filter implies a cancellation of two-year cycles and an amplification of cycles longer than typical business cycles. This is at odds with stylised business cycle facts, such as the one-year duration of a typical recession, leading to inconsistencies, for example, with the NBER business cycle chronology. Nonetheless, I show that Hamilton's regression filter should be preferred to the HP filter for constructing a credit-to-GDP gap. The filter extracts the various medium-term frequencies more equally. Due to this property, a regression-filtered credit-to-GDP ratio indicates that imbalances prior to the global financial crisis started earlier than shown by the Basel III creditto-GDP gap.

Suggested Citation

  • Schüler, Yves S., 2018. "On the cyclical properties of Hamilton's regression filter," Discussion Papers 03/2018, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdps:032018
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    References listed on IDEAS

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    1. Gerhard Rünstler & Marente Vlekke, 2018. "Business, housing, and credit cycles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(2), pages 212-226, March.
    2. Strohsal, Till & Proaño, Christian R. & Wolters, Jürgen, 2019. "Characterizing the financial cycle: Evidence from a frequency domain analysis," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 568-591.
    3. Òscar Jordà & Moritz Schularick & Alan M. Taylor, 2017. "Macrofinancial History and the New Business Cycle Facts," NBER Macroeconomics Annual, University of Chicago Press, vol. 31(1), pages 213-263.
    4. Galati, Gabriele & Hindrayanto, Irma & Koopman, Siem Jan & Vlekke, Marente, 2016. "Measuring financial cycles in a model-based analysis: Empirical evidence for the United States and the euro area," Economics Letters, Elsevier, vol. 145(C), pages 83-87.
    5. André K. Anundsen & Karsten Gerdrup & Frank Hansen & Kasper Kragh‐Sørensen, 2016. "Bubbles and Crises: The Role of House Prices and Credit," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1291-1311, November.
    6. Christian J. Murray, 2003. "Cyclical Properties of Baxter-King Filtered Time Series," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 472-476, May.
    7. Schüler, Yves Stephan & Hiebert, Paul P. & Peltonen, Tuomas A., 2015. "Characterising the financial cycle: A multivariate and time-varying approach," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 112985, Verein für Socialpolitik / German Economic Association.
    8. Eichenbaum, Martin & Parker, Jonathan A. (ed.), . "NBER Macroeconomics Annual 2017," National Bureau of Economic Research Books, University of Chicago Press, number 9780226577838, July.
    9. Simon Kuznets & Elizabeth Jenks, 1961. "Capital in the American Economy: Its Formation and Financing," NBER Books, National Bureau of Economic Research, Inc, number kuzn61-1.
    10. Verona, Fabio, 2016. "Time–frequency characterization of the U.S. financial cycle," Economics Letters, Elsevier, vol. 144(C), pages 75-79.
    11. David Aikman & Andrew G. Haldane & Benjamin D. Nelson, 2015. "Curbing the Credit Cycle," Economic Journal, Royal Economic Society, vol. 125(585), pages 1072-1109, June.
    12. James D. Hamilton, 2017. "Why You Should Never Use the Hodrick-Prescott Filter," NBER Working Papers 23429, National Bureau of Economic Research, Inc.
    13. 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 231-247, July-Sept.
    14. Òscar Jordà & Moritz Schularick & Alan M. Taylor, 2016. "The great mortgaging: housing finance, crises and business cycles," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 31(85), pages 107-152.
    15. Hiebert, Paul & Klaus, Benjamin & Peltonen, Tuomas A. & Schüler, Yves S. & Welz, Peter, 2014. "Capturing the Financial Cycle in Euro Area Countries," Financial Stability Review, European Central Bank, vol. 2.
    16. Gregory H. Bauer & Eleonora Granziera, 2017. "Monetary Policy, Private Debt, and Financial Stability Risks," International Journal of Central Banking, International Journal of Central Banking, vol. 13(3), pages 337-373, September.
    17. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    18. Gabriele Galati & Irma Hindrayanto & Siem Jan Koopman & Marente Vlekke, 2016. "Measuring financial cycles with a model-based filter: Empirical evidence for the United States and the euro area," DNB Working Papers 495, Netherlands Central Bank, Research Department.
    19. Eichenbaum, Martin & Parker, Jonathan A. (ed.), . "NBER Macroeconomics Annual 2016," National Bureau of Economic Research Books, University of Chicago Press, number 9780226490229, September.
    20. Claudio Borio, 2014. "The financial cycle and macroeconomics: what have we learned and what are the policy implications?," Chapters, in: Ewald Nowotny & Doris Ritzberger-Grünwald & Peter Backé (ed.), Financial Cycles and the Real Economy, chapter 2, pages 10-35, Edward Elgar Publishing.
    21. Simon Kuznets & Elizabeth Jenks, 1961. "Appendices and Index, "Capital in the American Economy: Its Formation and Financing"," NBER Chapters, in: Capital in the American Economy: Its Formation and Financing, pages 465-664, National Bureau of Economic Research, Inc.
    22. Harding, Don & Pagan, Adrian, 2002. "Dissecting the cycle: a methodological investigation," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 365-381, March.
    23. Detken, Carsten & Peltonen, Tuomas A. & Schudel, Willem & Behn, Markus, 2013. "Setting countercyclical capital buffers based on early warning models: would it work?," Working Paper Series 1604, European Central Bank.
    24. den Haan, Wouter J., 2000. "The comovement between output and prices," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 3-30, August.
    25. repec:zbw:bofrdp:2016_014 is not listed on IDEAS
    26. Mathias Drehmann & Claudio Borio & Kostas Tsatsaronis, 2012. "Characterising the financial cycle: don't lose sight of the medium term!," BIS Working Papers 380, Bank for International Settlements.
    27. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
    28. Martin Eichenbaum & Jonathan A. Parker, 2017. "NBER Macroeconomics Annual 2016, Volume 31," NBER Books, National Bureau of Economic Research, Inc, number eich-3.
    29. Borio, Claudio, 2014. "The financial cycle and macroeconomics: What have we learnt?," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 182-198.
    30. Robert M. de Jong & Neslihan Sakarya, 2016. "The Econometrics of the Hodrick-Prescott Filter," The Review of Economics and Statistics, MIT Press, vol. 98(2), pages 310-317, May.
    31. Simon Kuznets & Elizabeth Jenks, 1961. "Introduction to "Capital in the American Economy: Its Formation and Financing"," NBER Chapters, in: Capital in the American Economy: Its Formation and Financing, pages 3-14, National Bureau of Economic Research, Inc.
    32. A'Hearn, Brian & Woitek, Ulrich, 2001. "More international evidence on the historical properties of business cycles," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 321-346, April.
    33. 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.
    34. Schüler, Yves S. & Peltonen, Tuomas A. & Hiebert, Paul, 2017. "Coherent financial cycles for G-7 countries: Why extending credit can be an asset," ESRB Working Paper Series 43, European Systemic Risk Board.
    35. Mr. Fabian Valencia & Mr. Luc Laeven, 2012. "Systemic Banking Crises Database: An Update," IMF Working Papers 2012/163, International Monetary Fund.
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    4. Severin Reissl & Luca E. Fierro & Francesco Lamperti & Andrea Roventini, 2024. "The DSK-SFC stock-flow consistent agent-based integrated assessment model," LEM Papers Series 2024/09, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    5. Ben Zeev, Nadav, 2019. "Global credit supply shocks and exchange rate regimes," Journal of International Economics, Elsevier, vol. 116(C), pages 1-32.

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    More about this item

    Keywords

    detrending; spurious cycles; business cycles; financial cycles; Basel III;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • G01 - Financial Economics - - General - - - Financial Crises

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