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Intuitive Mathematical Economics Series. Linear Algebra Techniques to Measure Business Cycles

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  • Tomás Marinozzi
  • Leandro Nallar
  • Sergio A. Pernice

Abstract

Linear algebra is without a doubt a fundamental tool to deal with empirical economic problems. The goal of this paper is to use some of these techniques to treat business cycles. To do that, we present the classic ordinary least square approach to estime the coefficients of a detrended time series in addition to the matrix form of the Hodrick-Prescott (HP) Filter. This is a paper is part of “Intuitive Mathematical Economic Series".

Suggested Citation

  • Tomás Marinozzi & Leandro Nallar & Sergio A. Pernice, 2021. "Intuitive Mathematical Economics Series. Linear Algebra Techniques to Measure Business Cycles," CEMA Working Papers: Serie Documentos de Trabajo. 802, Universidad del CEMA.
    • Handle: RePEc:cem:doctra:802
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    References listed on IDEAS

    as
    1. Sergio A. Pernice, 2019. "Intuitive Mathematical Economics Series. Linear Structures I. Linear Manifolds, Vector Spaces and Scalar Products," CEMA Working Papers: Serie Documentos de Trabajo. 689, Universidad del CEMA.
    2. Peter C. B. Phillips & Sainan Jin, 2021. "Business Cycles, Trend Elimination, And The Hp Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 469-520, May.
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    Keywords

    Linear Algebra; business cycles; trend.;
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