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A Hodrick-Prescott filter with automatically selected jumps

Author

Listed:
  • Paolo Maranzano

    (Department of Economics, Management and Statistics, University of Milano-Bicocca and Fondazione Eni Enrico Mattei)

  • Matteo Pelagatti

    (Department of Economics, Management and Statistics, University of Milano-Bicocca)

Abstract

The Hodrick-Prescott filter is a popular tool in macroeconomics for decomposing a time series into a smooth trend and a business cycle component. The last few years have witnessed global events, such as the Global Financial Crisis, the COVID-19 pandemic, and the war in Ukraine, that have had abrupt structural impacts on many economic time series. Moreover, new regulations and policy changes generally lead to similar behaviours. Thus, those events should be absorbed by the trend component of the trend-cycle decomposition, but the Hodrick-Prescott filter does not allow for jumps. We propose a modification of the Hodrick-Prescott filter that contemplates jumps and automatically selects the time points in which the jumps occur. We provide an efficient implementation of the new filter in an R package. We use our modified filter to assess what Italian labour market reforms impacted employment in different age groups.

Suggested Citation

  • Paolo Maranzano & Matteo Pelagatti, 2024. "A Hodrick-Prescott filter with automatically selected jumps," Working Papers 2024.18, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2024.18
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    References listed on IDEAS

    as
    1. Gnocato, Nicolò & Modena, Francesca & Tomasi, Chiara, 2020. "Labor market reforms and allocative efficiency in Italy," Labour Economics, Elsevier, vol. 67(C).
    2. Lorenzo Cappellari & Carlo Dell’Aringa & Marco Leonardi, 2012. "Temporary Employment, Job Flows and Productivity: A Tale of Two Reforms," Economic Journal, Royal Economic Society, vol. 122(562), pages 188-215, August.
    3. Steven M. Fazzari, Ella Needler, 2021. "US employment inequality in the Great Recession and the COVID-19 pandemic," European Journal of Economics and Economic Policies: Intervention, Edward Elgar Publishing, vol. 18(2), pages 223–239-2, September.
    4. Koopman, Siem Jan & Harvey, Andrew, 2003. "Computing observation weights for signal extraction and filtering," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1317-1333, May.
    5. Elsa Fornero, 2015. "Economic-financial Literacy and (Sustainable) Pension Reforms: Why the Former is a Key Ingredient for the Latter," Bankers, Markets & Investors, ESKA Publishing, issue 134, pages 6-16, January-F.
    6. Marta Fana & Dario Guarascio & Valeria Cirillo, 2016. "Did Italy Need More Labour Flexibility?," Intereconomics: Review of European Economic Policy, Springer;ZBW - Leibniz Information Centre for Economics;Centre for European Policy Studies (CEPS), vol. 51(2), pages 79-86, March.
    7. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
    8. Eddelbuettel, Dirk & Francois, Romain, 2011. "Rcpp: Seamless R and C++ Integration," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 40(i08).
    9. Emanuela Ciapanna & Sauro Mocetti & Alessandro Notarpietro, 2020. "The effects of structural reforms: Evidence from Italy," Temi di discussione (Economic working papers) 1303, Bank of Italy, Economic Research and International Relations Area.
    10. 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.
    11. Bratti, Massimiliano & Conti, Maurizio & Sulis, Giovanni, 2021. "Employment protection and firm-provided training in dual labour markets," Labour Economics, Elsevier, vol. 69(C).
    12. Shibata, Ippei, 2021. "The distributional impact of recessions: The global financial crisis and the COVID-19 pandemic recession," Journal of Economics and Business, Elsevier, vol. 115(C).
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    More about this item

    Keywords

    Trend; State-space form; Unobserved component model; Structural change; LASSO; Business cycle; Employment;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J21 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Force and Employment, Size, and Structure

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