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Real and complex wavelets in asset classification: An application to the US stock market

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  • Bruzda, Joanna

Abstract

In the paper we suggest the use of wavelets to classify equities and industries into defensive and cyclical categories. We demonstrate that real- and complex-valued wavelets better serve the purpose of equity classification than more traditional approaches, and that this takes place through a more reliable and detailed dependence measurement and risk assessment. In particular, we introduce a family of wavelet-based tests of the random walk hypothesis exploring local features of spectra, which enable examining mean reversion and cyclicality of prices. The suggested approach is illustrated with an analysis of daily and monthly US industry indexes.

Suggested Citation

  • Bruzda, Joanna, 2017. "Real and complex wavelets in asset classification: An application to the US stock market," Finance Research Letters, Elsevier, vol. 21(C), pages 115-125.
    • Handle: RePEc:eee:finlet:v:21:y:2017:i:c:p:115-125
    DOI: 10.1016/j.frl.2017.02.004
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    Cited by:

    1. Shahzad, Syed Jawad Hussain & Aloui, Chaker & Jammazi, Rania, 2020. "On the interplay between US sectoral CDS, stock and VIX indices: Fresh insights from wavelet approaches," Finance Research Letters, Elsevier, vol. 33(C).
    2. Fan He & Xuansen He, 2019. "A Continuous Differentiable Wavelet Shrinkage Function for Economic Data Denoising," Computational Economics, Springer;Society for Computational Economics, vol. 54(2), pages 729-761, August.
    3. Bruzda, Joanna, 2019. "Complex analytic wavelets in the measurement of macroeconomic risks," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    4. Maciej Ryczkowski, 2020. "Money and credit during normal times and house price booms: evidence from time-frequency analysis," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(4), pages 835-861, November.

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    More about this item

    Keywords

    Wavelet transform; Hilbert transform; Defensive asset; Cyclical asset; Financial cycle; Stock grouping;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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