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A fractional cointegration test of purchasing power parity: the case of selected members of OPEC

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  • Abdol Soofi

Abstract

In recent years, analysts have used cointegration tests in determining whether the residuals of the purchasing power parity (PPP) model are mean-reverting. Cointegration methods, however, rest on the binary selection of the series as either stationary or integrated of degree one. This approach excludes a class of long-memory stochastic processes with a fractional differencing parameter which also have mean-reverting characteristics. Fractional cointegration method tests the mean-reverting property of a series which is based on this class of stochastic processes. This paper uses cointegration and fractional cointegration methods in determining the mean-reverting properties of the parallel market exchange rates for several members of the Organization of Petroleum Producing Countries. The Geweke and Porter-Hudak (GPH) test results suggest that the PPP models for Algeria, Ecuador, Saudi Arabia and Venezuela are fractionally cointegrated. Moreover, according to the Augmented Dickey-Fuller (ADF) test, the PPP models for all countries under study, appear not to have a cointegrating vector.

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  • Abdol Soofi, 1998. "A fractional cointegration test of purchasing power parity: the case of selected members of OPEC," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 559-566.
    • Handle: RePEc:taf:apfiec:v:8:y:1998:i:6:p:559-566
    DOI: 10.1080/096031098332592
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    Cited by:

    1. Dimitrios Sideris, 2006. "Purchasing Power Parity in economies in transition: evidence from Central and East European countries," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 135-143.
    2. Hassler, U. & Marmol, F. & Velasco, C., 2006. "Residual log-periodogram inference for long-run relationships," Journal of Econometrics, Elsevier, vol. 130(1), pages 165-207, January.
    3. Lai, Lin & Guo, Kun, 2017. "The performance of one belt and one road exchange rate: Based on improved singular spectrum analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 299-308.
    4. Tsangyao Chang & Ding Li & Yang-Cheng Lu & Chia-Hao Lee, 2011. "Purchasing power parity for East-Asia countries: further evidence based on panel stationary test with multiple structural breaks," Applied Economics, Taylor & Francis Journals, vol. 43(24), pages 3289-3298.
    5. Guneratne Banda Wickremasinghe, 2004. "Purchasing Power Parity Hypothesis in Developing Economies:Some Empirical Evidence from Sri Lanka," International Finance 0406005, University Library of Munich, Germany.
    6. Soofi Abdol S, 2008. "Global Financial Integration and the MENA Countries: Evidence from Equity and Money Markets," Review of Middle East Economics and Finance, De Gruyter, vol. 4(2), pages 93-116, April.
    7. Uwe Hassler & Francesc Marmol & Carlos Velasco, 2008. "Fractional cointegration in the presence of linear trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(6), pages 1088-1103, November.
    8. Adnan Kasman & Saadet Kirbas-Kasman & Evrim Turgutlu, 2005. "Nominal and real convergence between the CEE countries and the EU: a fractional cointegration analysis," Applied Economics, Taylor & Francis Journals, vol. 37(21), pages 2487-2500.
    9. Wang, Bin & Wang, Man & Chan, Ngai Hang, 2015. "Residual-based test for fractional cointegration," Economics Letters, Elsevier, vol. 126(C), pages 43-46.
    10. Saadet Kirbas Kasman & Adnan Kasman & Evrim Turgutlu, 2005. "Fisher Hypothesis Revisited: A Fractional Cointegration Analysis," Discussion Paper Series 05/04, Dokuz Eylül University, Faculty of Business, Department of Economics, revised 23 Nov 2005.
    11. Guneratne Banda Wickremasinghe, 2004. "The Sri Lankan Rupee and Purchasing Power Parity during the Current Floating Period," International Trade 0406005, University Library of Munich, Germany.

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