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Piecewise linear trends and cycles in primary commodity prices

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  • Winkelried, Diego

    (Universidad del Pacífico)

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 is 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 easily to identify.

Suggested Citation

  • Winkelried, Diego, 2015. "Piecewise linear trends and cycles in primary commodity prices," Working Papers 2015-012, Banco Central de Reserva del Perú.
  • Handle: RePEc:rbp:wpaper:2015-012
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    References listed on IDEAS

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    1. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 1-23.
    2. Prebisch, Raúl, 1950. "The economic development of Latin America and its principal problems," Sede de la CEPAL en Santiago (Estudios e Investigaciones) 29973, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    3. Newbery, David M, 1984. "Commodity Price Stabilization in Imperfect or Cartelized Markets," Econometrica, Econometric Society, vol. 52(3), pages 563-578, May.
    4. Deaton, Angus & Laroque, Guy, 2003. "A model of commodity prices after Sir Arthur Lewis," Journal of Development Economics, Elsevier, vol. 71(2), pages 289-310, August.
    5. David S. Jacks, 2019. "From boom to bust: a typology of real commodity prices in the long run," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 13(2), pages 201-220, May.
    6. Grilli, Enzo R & Yang, Maw Cheng, 1988. "Primary Commodity Prices, Manufactured Goods Prices, and the Terms of Trade of Developing Countries: What the Long Run Shows," The World Bank Economic Review, World Bank Group, vol. 2(1), pages 1-47, January.
    7. John T Cuddington & Daniel Jerrett, 2008. "Super Cycles in Real Metals Prices?," IMF Staff Papers, Palgrave Macmillan, vol. 55(4), pages 541-565, December.
    8. Yamada, Hiroshi & Yoon, Gawon, 2014. "When Grilli and Yang meet Prebisch and Singer: Piecewise linear trends in primary commodity prices," Journal of International Money and Finance, Elsevier, vol. 42(C), pages 193-207.
    9. Deaton, Angus & Laroque, Guy, 1996. "Competitive Storage and Commodity Price Dynamics," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 896-923, October.
    10. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    11. Ghoshray, Atanu, 2011. "A reexamination of trends in primary commodity prices," Journal of Development Economics, Elsevier, vol. 95(2), pages 242-251, July.
    12. 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.
    13. Newbery, David M, 1989. "The Theory of Food Price Stabilisation," Economic Journal, Royal Economic Society, vol. 99(398), pages 1065-1082, December.
    14. Regina Kaiser & Agustín Maravall, 1999. "Estimation of the business cycle: A modified Hodrick-Prescott filter," Spanish Economic Review, Springer;Spanish Economic Association, vol. 1(2), pages 175-206.
    15. Stephan Pfaffenzeller & Paul Newbold & Anthony Rayner, 2007. "A Short Note on Updating the Grilli and Yang Commodity Price Index," The World Bank Economic Review, World Bank Group, vol. 21(1), pages 151-163.
    16. Erten, Bilge & Ocampo, José Antonio, 2013. "Super Cycles of Commodity Prices Since the Mid-Nineteenth Century," World Development, Elsevier, vol. 44(C), pages 14-30.
    17. Hiroshi Yamada & Lan Jin, 2013. "Japan’s output gap estimation and ℓ 1 trend filtering," Empirical Economics, Springer, vol. 45(1), pages 81-88, August.
    18. Cuddington, John T., 1992. "Long-run trends in 26 primary commodity prices : A disaggregated look at the Prebisch-Singer hypothesis," Journal of Development Economics, Elsevier, vol. 39(2), pages 207-227, October.
    19. David I. Harvey & Neil M. Kellard & Jakob B. Madsen & Mark E. Wohar, 2010. "The Prebisch-Singer Hypothesis: Four Centuries of Evidence," The Review of Economics and Statistics, MIT Press, vol. 92(2), pages 367-377, May.
    20. Cashin, Paul & McDermott, C. John & Scott, Alasdair, 2002. "Booms and slumps in world commodity prices," Journal of Development Economics, Elsevier, vol. 69(1), pages 277-296, October.
    21. Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1, February.
    22. Gerhard Bry & Charlotte Boschan, 1971. "Foreword to "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs"," NBER Chapters, in: Cyclical Analysis of Time Series: Selected Procedures and Computer Programs, pages -1, National Bureau of Economic Research, Inc.
    23. Cuddington, John T & Urzua, Carlos M, 1989. "Trends and Cycles in the Net Barter Terms of Trade: A New Approach," Economic Journal, Royal Economic Society, vol. 99(396), pages 426-442, June.
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    Cited by:

    1. Winkelried, Diego, 2018. "Unit roots, flexible trends, and the Prebisch-Singer hypothesis," Journal of Development Economics, Elsevier, vol. 132(C), pages 1-17.
    2. 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).
    3. Yves Jégourel, 2018. "Tendances et cyclicité du prix des matières premières (partie 2) : le super-cycle des matières premières en question," Policy notes & Policy briefs 1824, Policy Center for the New South.
    4. 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.
    5. 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.
    6. 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.
    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. 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.
    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. 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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