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Modelling long-run trends and cycles in financial time series data

Author

Listed:
  • Guglielmo Maria Caporale
  • Juncal Cuñado
  • Luis A. Gil-Alana

Abstract

This paper proposes a general time series framework to capture the long-run behaviour of financial series. The suggested approach includes linear and segmented time trends, and stationary and nonstationary processes based on integer and/or fractional degrees of differentiation. Moreover, the spectrum is allowed to contain more than a single pole or singularity, occurring at both zero but non-zero (cyclical) frequencies. This framework is used to analyse five annual time series with a long span, namely dividends, earnings, interest rates, stock prices and long-term government bond yields. The results based on several likelihood criteria indicate that the five series exhibit fractional integration with one or two poles in the spectrum, and are quite stable over the sample period examined.
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Suggested Citation

  • Guglielmo Maria Caporale & Juncal Cuñado & Luis A. Gil-Alana, 2013. "Modelling long-run trends and cycles in financial time series data," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(3), pages 405-421, May.
    • Handle: RePEc:bla:jtsera:v:34:y:2013:i:3:p:405-421
    DOI: 10.1111/(ISSN)1467-9892
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    Citations

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    Cited by:

    1. Skare, Marinko & Gil-Alana, Luis A. & Porada-Rochon, Małgorzata, 2025. "Isolating financial cycles using the fractional cyclical model in selected economies: 1970–2019," Structural Change and Economic Dynamics, Elsevier, vol. 72(C), pages 67-77.
    2. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana, 2025. "Long-Run Trends and Cycles in US House Prices," Computational Economics, Springer;Society for Computational Economics, vol. 66(6), pages 5017-5031, December.
    3. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2013. "Long memory and fractional integration in high frequency data on the US dollar/British pound spot exchange rate," International Review of Financial Analysis, Elsevier, vol. 29(C), pages 1-9.
    4. Maria Malmierca-Ordoqui & Luis A. Gil-Alana & Manuel Monge, 2024. "Fractional cointegration between energy imports to the EURO area and exchange rates to the US dollar," Empirical Economics, Springer, vol. 66(2), pages 859-882, February.
    5. Boubaker, Heni & Sghaier, Nadia, 2015. "Semiparametric generalized long-memory modeling of some mena stock market returns: A wavelet approach," Economic Modelling, Elsevier, vol. 50(C), pages 254-265.
    6. Souhir Ben Amor & Heni Boubaker & Lotfi Belkacem, 2022. "A Dual Generalized Long Memory Modelling for Forecasting Electricity Spot Price: Neural Network and Wavelet Estimate," Papers 2204.08289, arXiv.org.
    7. Souhir Ben Amor & Heni Boubaker & Lotfi Belkacem, 2022. "Predictive Accuracy of a Hybrid Generalized Long Memory Model for Short Term Electricity Price Forecasting," Papers 2204.09568, arXiv.org.
    8. Haitham A. Al-Zoubi & Jennifer A. O’Sullivan & Abdulaziz M. Alwathnani, 2018. "Business cycles, financial cycles and capital structure," Annals of Finance, Springer, vol. 14(1), pages 105-123, February.

    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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