IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2010.08825.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2010.08825
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Frenkel, Jacob A, 1976. " A Monetary Approach to the Exchange Rate: Doctrinal Aspects and Empirical Evidence," Scandinavian Journal of Economics, Wiley Blackwell, vol. 78(2), pages 200-224.
    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, July.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kim, Jaebeom & Ogaki, Masao, 2004. "Purchasing Power Parity for Traded and Non-traded Goods: A Structural Error Correction Model Approach," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 22(1), pages 1-25, March.
    2. Sofiane H. Sekioua, 2004. "Real interest parity (RIP) over the 20th century: New evidence based on confidence intervals for the dominant root and half-lives of shocks," Money Macro and Finance (MMF) Research Group Conference 2004 91, Money Macro and Finance Research Group.
    3. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    4. Imai, Hiroyuki, 2010. "Japan's inflation under the Bretton Woods system: How large was the Balassa-Samuelson effect?," Journal of Asian Economics, Elsevier, vol. 21(2), pages 174-185, April.
    5. Marek Mičúch, 2009. "Vývoj teorie parity kupní síly a rovnovážný měnový kurz [Purchasing power parity and the equilibrium exchange rate]," Politická ekonomie, Prague University of Economics and Business, vol. 2009(3), pages 405-428.
    6. Annina Kaltenbrunner & Machiko Nissanke, 2009. "The Case for an Intermediate Exchange Rate Regime with Endogenizing Market Structures and Capital Mobility: The Empirical Study of Brazil," WIDER Working Paper Series RP2009-29, World Institute for Development Economic Research (UNU-WIDER).
    7. Arize, Augustine C. & Malindretos, John & Nam, Kiseok, 2010. "Cointegration, dynamic structure, and the validity of purchasing power parity in African countries," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 755-768, October.
    8. Zhang, Zhibai, 2014. "Is there a rule of thumb for absolute purchasing power parity to hold?," MPRA Paper 55338, University Library of Munich, Germany.
    9. Rebecca L Driver & Peter F Westaway, 2005. "Concepts of equilibrium exchange rates," Bank of England working papers 248, Bank of England.
    10. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2012. "Purchasing Power Parity between the UK and the Euro Area," Working Papers 1208, University of Nevada, Las Vegas , Department of Economics.
    11. Sarmidi, Tamat, 2008. "Exchange Rates Predictability in Developing Countries," MPRA Paper 16580, University Library of Munich, Germany.
    12. Kenneth Rogoff, 2009. "Exchange rates in the modern floating era: what do we really know?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(1), pages 1-12, April.
    13. Cheng, Fuzhi & Orden, David, 2005. "Exchange rate misalignment and its effects on agricultural producer support estimates," MTID discussion papers 81, International Food Policy Research Institute (IFPRI).
    14. Mohamed Ariff & Alireza Zarei, 2018. "One Approach To Resolve The Exchange Rate Puzzle: Results Using Data From The United Kingdom And The United States," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 63(05), pages 1367-1384, December.
    15. Ariff, Mohamed & Zarei, Alireza & Bhatti, M. Ishaq, 2021. "Monitoring exchange rate instability in 12 selected Islamic economies," Journal of Behavioral and Experimental Finance, Elsevier, vol. 31(C).
    16. Dimitrios Sideris, 2008. "Real Exchange Rates over a Century: The Case of the Drachma/Sterling Rate, 1833-1939," Working Papers 66, Bank of Greece.
    17. Khan, Muhammad Arshad & Qayyum, Abdul, 2007. "Exchange Rate Determination In Pakistan: Evidence Based On Purchasing Power Parity Theory," MPRA Paper 6754, University Library of Munich, Germany.
    18. Papell, David H., 2002. "The great appreciation, the great depreciation, and the purchasing power parity hypothesis," Journal of International Economics, Elsevier, vol. 57(1), pages 51-82, June.
    19. Charles Engel & Kenneth D. West, 2005. "Exchange Rates and Fundamentals," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 485-517, June.
    20. Barumshah, Ahmad Zubaidi & Chan, Tze-Haw & Fountas, Stilianos, 2004. "Re-examining Purchasing Power Parity for East-Asian Currencies: 1976-2002," MPRA Paper 2025, University Library of Munich, Germany, revised 2006.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2010.08825. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.