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Some properties of periodically collapsing bubbles

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  • Yoon, Gawon

Abstract

This paper explores some properties of periodically collapsing bubbles, which are a very popular model in the bubbles literature. We first demonstrate that complicated nonlinear bubbles can be represented as a time-varying parameter linear model of order 1. We demonstrate that the bubbles are explosive and nonstationary. We also derive conditions under which the bubbles are strictly stationary. We also demonstrate that the bubbles cannot be weakly stationary by deriving the tail indices of the strictly stationary distribution.

Suggested Citation

  • Yoon, Gawon, 2012. "Some properties of periodically collapsing bubbles," Economic Modelling, Elsevier, vol. 29(2), pages 299-302.
    • Handle: RePEc:eee:ecmode:v:29:y:2012:i:2:p:299-302
    DOI: 10.1016/j.econmod.2011.10.007
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    Cited by:

    1. Paulo M.M. Rodrigues & Rita Fradique Lourenço, 2015. "House prices: bubbles, exuberance or something else? Evidence from euro area countries," Working Papers w201517, Banco de Portugal, Economics and Research Department.
    2. Gourieroux, C. & Jasiak, J. & Monfort, A., 2020. "Stationary bubble equilibria in rational expectation models," Journal of Econometrics, Elsevier, vol. 218(2), pages 714-735.
    3. Xie, Zixiong & Chen, Shyh-Wei & Wu, An-Chi, 2019. "Asymmetric adjustment, non-linearity and housing price bubbles: New international evidence," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    4. Feng, Qu & Wu, Guiying Laura, 2015. "Bubble or riddle? An asset-pricing approach evaluation on China's housing market," Economic Modelling, Elsevier, vol. 46(C), pages 376-383.
    5. Chen, Shyh-Wei & Xie, Zixiong, 2017. "Asymmetric adjustment and smooth breaks in dividend yields: Evidence from international stock markets," International Review of Economics & Finance, Elsevier, vol. 48(C), pages 339-354.
    6. Vicente Esteve & María A. Prats, 2021. "Testing for rational bubbles in Australian housing market from a long-term perspective," Working Papers 2113, Department of Applied Economics II, Universidad de Valencia.
    7. Xie, Zixiong & Chen, Shyh-Wei, 2015. "Are there periodically collapsing bubbles in the REIT markets? New evidence from the US," Research in International Business and Finance, Elsevier, vol. 33(C), pages 17-31.
    8. Esteve Vicente & Prats Maria A., 2021. "Structural Breaks and Explosive Behavior in the Long-Run: The Case of Australian Real House Prices, 1870–2020," Economics - The Open-Access, Open-Assessment Journal, De Gruyter, vol. 15(1), pages 72-84, January.
    9. Chen, Shyh-Wei & Hsu, Chi-Sheng & Xie, Zixong, 2016. "Are there periodically collapsing bubbles in the stock markets? New international evidence," Economic Modelling, Elsevier, vol. 52(PB), pages 442-451.

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    More about this item

    Keywords

    Periodically collapsing bubbles; Multiplicative stochastic processes; Heavy-tailed distributions; Stochastic unit roots;
    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

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