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Synchronization analysis between exchange rates on the basis of purchasing power parity using the Hilbert transform

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  • Makoto Muto
  • Yoshitaka Saiki

Abstract

Synchronization is a phenomenon in which a pair of fluctuations adjust their rhythms when interacting with each other. We measure the degree of synchronization between the U.S. dollar (USD) and euro exchange rates and between the USD and Japanese yen exchange rates on the basis of purchasing power parity (PPP) over time. We employ a method of synchronization analysis using the Hilbert transform, which is common in the field of nonlinear science. We find that the degree of synchronization is high most of the time, suggesting the establishment of PPP. The degree of synchronization does not remain high across periods with economic events with asymmetric effects, such as the U.S. real estate bubble.

Suggested Citation

  • Makoto Muto & Yoshitaka Saiki, 2020. "Synchronization analysis between exchange rates on the basis of purchasing power parity using the Hilbert transform," Papers 2010.08825, arXiv.org, revised Aug 2022.
    • Handle: RePEc:arx:papers:2010.08825
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    References listed on IDEAS

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    1. Calderon, Cesar & Chong, Alberto & Stein, Ernesto, 2007. "Trade intensity and business cycle synchronization: Are developing countries any different?," Journal of International Economics, Elsevier, vol. 71(1), pages 2-21, March.
    2. repec:bla:scandj:v:78:y:1976:i:2:p:200-224 is not listed on IDEAS
    3. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    4. Ronald McKinnon & Gunther Schnabl, 2006. "The East Asian Dollar Standard, Fear of Floating, and Original Sin," Chapters, in: Volbert Alexander & Hans-Helmut Kotz (ed.), Global Divergence in Trade, Money and Policy, chapter 3, pages 45-71, Edward Elgar Publishing.
    5. Mohammad Hasan, 2006. "A century of Purchasing Power Parity: evidence from Canada and Australia," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 145-156.
    6. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    7. Flood, Robert P. & Rose, Andrew K., 2010. "Inflation targeting and business cycle synchronization," Journal of International Money and Finance, Elsevier, vol. 29(4), pages 704-727, June.
    8. Ito, Takatoshi, 1997. "The Long-Run Purchasing Power Parity for the Yen: Historical Overview," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 502-521, December.
    9. Takatoshi Ito, 1997. "Purchasing Power Parity," NBER Books, National Bureau of Economic Research, Inc, number ito_97-2.
    10. Lucio Sarno, 1997. "Policy convergence, the exchange rate mechanism and the misalignment of exchange rates. Some tests of purchasing power parity and generalized purchasing power parity," Applied Economics, Taylor & Francis Journals, vol. 29(5), pages 591-605.
    11. Yuichi Ikeda & Hideaki Aoyama & Hiroshi Iyetomi & Hiroshi Yoshikawa, 2013. "Direct Evidence for Synchronization in Japanese Business Cycle," Papers 1305.2263, arXiv.org.
    12. Mishra, Ritesh Kumar & Sharma, Chandan, 2010. "Real exchange rate behavior and optimum currency area in East Asia: Evidence from Generalized Purchasing Power Parity," International Review of Financial Analysis, Elsevier, vol. 19(3), pages 205-213, June.
    13. McKinnon, Ronald I., 2004. "The East Asian dollar standard," China Economic Review, Elsevier, vol. 15(3), pages 325-330.
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