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Trends and Cycles in Historical Gold and Silver Prices

Author

Listed:
  • Luis A. Gil-Alana

    (University of Navarra, Pamplona, Spain)

  • Goodness C. Aye

    (Department of Economics, University of Pretoria)

  • Rangan Gupta

    (Department of Economics, University of Pretoria)

Abstract

The study proposes an alternative modelling specification for the real prices of gold and silver that allows the long run trend and cyclical behaviour to be modelled simultaneously by incorporating two differencing parameter in a fractional integration framework. However, we also consider the separate cases of a standard I(d) process, with a pole or singularity at the zero frequency and a cyclical I(d) model that incorporates a single pole in the spectrum at a non-zero frequency. We use annual data spanning from 1833 to 2013for gold and 1792 to 2013 for silver. Based on the more flexible model that permits a pole at both zero (trend) and non-zero (cycle) frequencies, we find that in general the estimates associated to the long run or zero frequency appear to be above 1 in case of gold and below 1 for silver, while the order of integration associated with the cyclical frequency is slightly above 0 in the majority of the cases in the two series. Further, higher orders of integration are associated to the long run component compared with the cyclical one. The implications for these findings are highlighted.

Suggested Citation

  • Luis A. Gil-Alana & Goodness C. Aye & Rangan Gupta, 2015. "Trends and Cycles in Historical Gold and Silver Prices," Working Papers 201507, University of Pretoria, Department of Economics.
    • Handle: RePEc:pre:wpaper:201507
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    Cited by:

    1. Bouri, Elie & Gkillas, Konstantinos & Gupta, Rangan & Pierdzioch, Christian, 2021. "Forecasting power of infectious diseases-related uncertainty for gold realized variance," Finance Research Letters, Elsevier, vol. 42(C).
    2. Liu, Guo-Dong & Su, Chi-Wei, 2019. "The dynamic causality between gold and silver prices in China market: A rolling window bootstrap approach," Finance Research Letters, Elsevier, vol. 28(C), pages 101-106.
    3. Guglielmo Maria Caporale & Luis A. Gil-Alana & Alex Plastun & Ahniia Havrylina, 2022. "Persistence in the Passion Investment Market," CESifo Working Paper Series 9586, CESifo.
    4. Pablo Agnese & Pedro Garcia del Barrio & Luis Alberiko Gil-Alana & Fernando Perez de Gracia, 2024. "Precious metal prices: a tale of four US recessions," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 41(5), pages 1012-1022, March.
    5. Cunado, Juncal & Gil-Alana, Luis A. & Gupta, Rangan, 2019. "Persistence in trends and cycles of gold and silver prices: Evidence from historical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 345-354.
    6. Wu, Chih-Chiang & Chiu, Junmao, 2017. "Economic evaluation of asymmetric and price range information in gold and general financial markets," Journal of International Money and Finance, Elsevier, vol. 74(C), pages 53-68.
    7. Li, Wenlan & Cheng, Yuxiang & Fang, Qiang, 2020. "Forecast on silver futures linked with structural breaks and day-of-the-week effect," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    8. Vigne, Samuel A. & Lucey, Brian M. & O’Connor, Fergal A. & Yarovaya, Larisa, 2017. "The financial economics of white precious metals — A survey," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 292-308.
    9. Salisu, Afees A. & Ndako, Umar B. & Oloko, Tirimisiyu F., 2019. "Assessing the inflation hedging of gold and palladium in OECD countries," Resources Policy, Elsevier, vol. 62(C), pages 357-377.
    10. Aye, Goodness C. & Gil-Alana, Luis A. & Gupta, Rangan & Wohar, Mark E., 2017. "The efficiency of the art market: Evidence from variance ratio tests, linear and nonlinear fractional integration approaches," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 283-294.
    11. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana, 2023. "Gold and silver as safe havens: A fractional integration and cointegration analysis," PLOS ONE, Public Library of Science, vol. 18(3), pages 1-9, March.
    12. Muhammad Abdullah & Hussein A. Abdou & Christopher Godfrey & Ahmed A. Elamer & Yousry Ahmed, 2023. "Assessing the Use of Gold as a Zero-Beta Asset in Empirical Asset Pricing: Application to the US Equity Market," JRFM, MDPI, vol. 16(3), pages 1-48, March.
    13. Apergis, Nicholas & Carmona-González, Nieves & Gil-Alana, Luis Alberiko, 2020. "Persistence in silver prices and the influence of solar energy," Resources Policy, Elsevier, vol. 69(C).
    14. Riza Demirer & Rangan Gupta & Christian Pierdzioch & Syed Jawad Hussain Shahzad, 2021. "A note on oil price shocks and the forecastability of gold realized volatility," Applied Economics Letters, Taylor & Francis Journals, vol. 28(21), pages 1889-1897, December.
    15. Jan Beran & Jeremy Näscher & Fabian Pietsch & Stephan Walterspacher, 2024. "Testing for periodicity at an unknown frequency under cyclic long memory, with applications to respiratory muscle training," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 108(4), pages 705-731, December.

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • Q02 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Commodity Market

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