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Piecewise linear trends and cycles in primary commodity prices

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  • Winkelried, Diego

Abstract

We extend the methodology put forward in Yamada and Yoon (2014, Journal of International Money and Finance, 42(C), 193–207) to analyze the trend and cyclical behavior of relative primary commodity prices. These authors propose the use of the so-called ℓ1-filter that renders piecewise linear trends of the underlying data. Our focus on the calibration of such filter and its implications for the empirical analysis of primary commodity prices, especially the interpretation given to the resulting trend. We also illustrate how suitably calibrated filters may be used to compute piecewise linear (super) cycles, whose turning points are easy to identify.

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  • Winkelried, Diego, 2016. "Piecewise linear trends and cycles in primary commodity prices," Journal of International Money and Finance, Elsevier, vol. 64(C), pages 196-213.
    • Handle: RePEc:eee:jimfin:v:64:y:2016:i:c:p:196-213
    DOI: 10.1016/j.jimonfin.2016.01.006
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    Cited by:

    1. Yves Jégourel, 2018. "Tendances et cyclicité du prix des matières premières (partie 2) : le super-cycle des matières premières en question," Policy briefs 1824, Policy Center for the New South.
    2. Subrata K. Mitra & Abhishek Rohit, 2020. "Momentum Trading with the ℓ1‐Filter: Are the Markets Efficient?," International Review of Finance, International Review of Finance Ltd., vol. 20(4), pages 827-856, December.
    3. Jair N. Ojeda-Joya & Oscar Jaulin-Mendez & Juan C. Bustos-Peláez, 2019. "The Interdependence Between Commodity-Price and GDP Cycles: A Frequency-Domain Approach," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 47(3), pages 275-292, September.
    4. Albuquerquemello, Vinícius Phillipe de & Medeiros, Rennan Kertlly de & Jesus, Diego Pitta de & Oliveira, Felipe Araujo de, 2022. "The role of transition regime models for corn prices forecasting," Revista de Economia e Sociologia Rural (RESR), Sociedade Brasileira de Economia e Sociologia Rural, vol. 60(2), January.
    5. Chuku Chuku & Paul Middleditch, 2020. "Characterizing Monetary and Fiscal Policy Rules and Interactions when Commodity Prices Matter," Manchester School, University of Manchester, vol. 88(3), pages 373-404, June.
    6. Yifei Cai & Tolga Omay, 2022. "Using Double Frequency in Fourier Dickey–Fuller Unit Root Test," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 445-470, February.
    7. Cai, Guixin & Zhang, Hao & Chen, Ziyue, 2019. "Comovement between commodity sectors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1247-1258.
    8. Hiroshi Yamada & Ruixue Du, 2018. "Some Results on ℓ 1 Polynomial Trend Filtering," Econometrics, MDPI, vol. 6(3), pages 1-10, July.
    9. Winkelried, Diego, 2021. "Unit roots in real primary commodity prices? A meta-analysis of the Grilli and Yang data set," Journal of Commodity Markets, Elsevier, vol. 23(C).
    10. Hiroshi Yamada & Ruoyi Bao, 2022. "$$\ell _{1}$$ ℓ 1 Common Trend Filtering," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 1005-1025, March.
    11. Winkelried, Diego, 2018. "Unit roots, flexible trends, and the Prebisch-Singer hypothesis," Journal of Development Economics, Elsevier, vol. 132(C), pages 1-17.
    12. Klein, Tony, 2018. "Trends and contagion in WTI and Brent crude oil spot and futures markets - The role of OPEC in the last decade," Energy Economics, Elsevier, vol. 75(C), pages 636-646.

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    More about this item

    Keywords

    Commodity prices; Piecewise linear trends; Hodrick–Prescott filter; Super cycles;
    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
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • Q02 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Commodity Market

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