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Does Purchasing Power Parity hold? New evidence from wild-bootstrapped nonlinear unit root tests in the presence of heteroskedasticity

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  • Su, Jen-Je
  • Cheung, Adrian (Wai-Kong)
  • Roca, Eduardo

Abstract

In spite of the extensive research which has already been undertaken, the issue as to whether Purchasing Power Parity (PPP) empirically holds, continues to be strongly debated. Existing studies have been criticized for their reliance on unit root tests which are deemed to suffer from certain weaknesses such as the size distortion bias arising from heteroskedasticity. In this paper, we provide new evidence on PPP based on a new methodology that overcomes this problem. We use the widely accepted KSS (Kapetanios et al., 2003) non-linear unit root tests which we, however, wild bootstrapped. Through Monte Carlo simulation, we demonstrate that the wild-bootstrapped KSS is robust to heteroskedasticity-induced size distortion problem. We apply this method to test PPP across 61 countries over the period 1994 to 2012 — a period characterized by a number of crises such as the Asian Financial Crisis, Russian Crisis, dotcom crisis, Global Financial Crises, among others, and therefore, intense heteroskedasticity. Our results provide strong evidence against PPP. This paper contributes to both the international financial economics and econometrics literatures.

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  • Su, Jen-Je & Cheung, Adrian (Wai-Kong) & Roca, Eduardo, 2014. "Does Purchasing Power Parity hold? New evidence from wild-bootstrapped nonlinear unit root tests in the presence of heteroskedasticity," Economic Modelling, Elsevier, vol. 36(C), pages 161-171.
  • Handle: RePEc:eee:ecmode:v:36:y:2014:i:c:p:161-171
    DOI: 10.1016/j.econmod.2013.09.029
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    6. EPHREM HABTEMICHAEL REDDA & Paul-Francious Muzindusti, 2017. "Does SADC constitute an optimum currency area? Evidence from generalised purchasing power parity," Proceedings of Economics and Finance Conferences 4807771, International Institute of Social and Economic Sciences.
    7. Dinçer Afat & Michael Frömmel, 2020. "An Alternative Version of Purchasing Power Parity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 25(4), pages 511-517, October.
    8. Zerihun, Mulatu F. & Breitenbach, Marthinus C., 2016. "Nonlinear approaches in testing PPP: Evidence from Southern African development community," Economic Modelling, Elsevier, vol. 56(C), pages 162-167.
    9. Mücahit Aydın, 2019. "Investigation of the Validity of Purchasing Power Parity Hypothesis with Fourier Unit Root Tests: The Case of Turkey," EKOIST Journal of Econometrics and Statistics, Istanbul University, Faculty of Economics, vol. 30(0), pages 35-48, June.
    10. Xie, Zixiong & Chen, Shyh-Wei & Hsieh, Chun-Kuei, 2021. "Facing up to the polysemy of purchasing power parity: New international evidence," Economic Modelling, Elsevier, vol. 98(C), pages 247-265.

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    Keywords

    (Nonlinear) unit root test; Heteroskedasticity; Wild bootstrapping; Purchasing power parity;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

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