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Characterising the South African Business Cycle: Is GDP Difference-Stationary or Trend-Stationary in a Markov-Switching Setup?

Author

Listed:
  • Mehmet Balcilar

    (Department of Economics, Eastern Mediterranean University, Famagusta, Northern Cyprus , via Mersin 10, Turkey; Department of Economics, University of Pretoria, Pretoria, 0002, South Africa.)

  • Rangan Gupta

    (Department of Economics, University of Pretoria)

  • Charl Jooste

    (Department of Economics, University of Pretoria)

  • Omid Ranjbar

    (Ministry of Industry, Mine and Trade, Tehran, Iran)

Abstract

We test for a unit root in de-trended GDP in a two-state Markov switching specification using a modified Augmented Dickey-Fuller test. Our results show that a first difference GDP specification is preferred over the de-trended specification. In addition, the null of difference-stationary GDP cannot be rejected. By implication, shocks to GDP are permanent which validates specifying trend GDP with a stochastic component -something that is inherently assumed in a number of research papers that estimate potential GDP growth and that model GDP in general equilibrium specifications.

Suggested Citation

  • Mehmet Balcilar & Rangan Gupta & Charl Jooste & Omid Ranjbar, 2015. "Characterising the South African Business Cycle: Is GDP Difference-Stationary or Trend-Stationary in a Markov-Switching Setup?," Working Papers 201529, University of Pretoria, Department of Economics.
  • Handle: RePEc:pre:wpaper:201529
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    as
    1. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1043-1078, November.
    2. Pesaran, M. Hashem & Timmermann, Allan, 2005. "Small sample properties of forecasts from autoregressive models under structural breaks," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 183-217.
    3. Charles Himmelberg & Christopher Mayer & Todd Sinai, 2005. "Assessing High House Prices: Bubbles, Fundamentals and Misperceptions," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 67-92, Fall.
    4. Bettendorf, Timo & Chen, Wenjuan, 2013. "Are there bubbles in the Sterling-dollar exchange rate? New evidence from sequential ADF tests," Economics Letters, Elsevier, vol. 120(2), pages 350-353.
    5. Peter C. B. Phillips & Jun Yu, 2011. "Dating the timeline of financial bubbles during the subprime crisis," Quantitative Economics, Econometric Society, vol. 2(3), pages 455-491, November.
    6. Peter C. B. Phillips & Yangru Wu & Jun Yu, 2011. "EXPLOSIVE BEHAVIOR IN THE 1990s NASDAQ: WHEN DID EXUBERANCE ESCALATE ASSET VALUES?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 201-226, February.
    7. Pastor, Lubos & Veronesi, Pietro, 2006. "Was there a Nasdaq bubble in the late 1990s?," Journal of Financial Economics, Elsevier, vol. 81(1), pages 61-100, July.
    8. Glaeser, Edward L. & Gyourko, Joseph & Saiz, Albert, 2008. "Housing supply and housing bubbles," Journal of Urban Economics, Elsevier, vol. 64(2), pages 198-217, September.
    9. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    10. Lammerding, Marc & Stephan, Patrick & Trede, Mark & Wilfling, Bernd, 2013. "Speculative bubbles in recent oil price dynamics: Evidence from a Bayesian Markov-switching state-space approach," Energy Economics, Elsevier, vol. 36(C), pages 491-502.
    11. Caspi, Itamar & Katzke, Nico & Gupta, Rangan, 2018. "Date stamping historical periods of oil price explosivity: 1876–2014," Energy Economics, Elsevier, vol. 70(C), pages 582-587.
    12. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    13. Behzad T. Diba & Herschel I. Grossman, 1984. "Rational Bubbles in the Price of Gold," NBER Working Papers 1300, National Bureau of Economic Research, Inc.
    14. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    15. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    16. J. Cunado & L. A. Gil-Alana & F. Perez de Gracia, 2007. "Testing for stock market bubbles using nonlinear models and fractional integration," Applied Financial Economics, Taylor & Francis Journals, vol. 17(16), pages 1313-1321.
    17. Luis A. Gil‐Alana, 2008. "Fractional integration and structural breaks at unknown periods of time," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(1), pages 163-185, January.
    18. Luis A. Gil-Alana, 2003. "Testing of unit roots and other fractionally integrated hypotheses in the presence of structural breaks," Empirical Economics, Springer, vol. 28(1), pages 101-113, January.
    19. Pindyck, Robert S, 1993. "The Present Value Model of Rational Commodity Pricing," Economic Journal, Royal Economic Society, vol. 103(418), pages 511-530, May.
    20. Al-Anaswah, Nael & Wilfling, Bernd, 2011. "Identification of speculative bubbles using state-space models with Markov-switching," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1073-1086, May.
    21. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    22. Shi, Shuping & Arora, Vipin, 2012. "An application of models of speculative behaviour to oil prices," Economics Letters, Elsevier, vol. 115(3), pages 469-472.
    23. Phillips, Peter C.B. & Magdalinos, Tassos, 2007. "Limit theory for moderate deviations from a unit root," Journal of Econometrics, Elsevier, vol. 136(1), pages 115-130, January.
    24. Caspi, Itamar, 2013. "Rtadf: Testing for Bubbles with EViews," MPRA Paper 58791, University Library of Munich, Germany, revised 06 Sep 2014.
    25. Karl E. Case & Robert J. Shiller, 2003. "Is There a Bubble in the Housing Market?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(2), pages 299-362.
    26. Etienne, Xiaoli L. & Irwin, Scott H. & Garcia, Philip, 2014. "Bubbles in food commodity markets: Four decades of evidence," Journal of International Money and Finance, Elsevier, vol. 42(C), pages 129-155.
    27. Hamilton, James D. & Whiteman, Charles H., 1985. "The observable implications of self-fulfilling expectations," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 353-373, November.
    28. Mehmet Balcilar & Zeynel Abidin Ozdemir & Esin Cakan, 2015. "Structural Breaks, Long Memory, or Unit Roots in Stock Prices: Evidence from Emerging Markets," International Econometric Review (IER), Econometric Research Association, vol. 7(1), pages 13-33, April.
    29. Steven C. Bourassa & Patric H. Hendershott & James Murphy, 2001. "Further evidence on the existence of housing market bubbles," Journal of Property Research, Taylor & Francis Journals, vol. 18(1), pages 1-19.
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    Cited by:

    1. Tolga Omay & Rangan Gupta & Giovanni Bonaccolto, 2017. "The US real GNP is trend-stationary after all," Applied Economics Letters, Taylor & Francis Journals, vol. 24(8), pages 510-514, May.

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    More about this item

    Keywords

    Markov-switching; difference-stationary; trend-stationary;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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