IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Long-run real exchange rate changes and the properties of the variance of k-differences

  • Masao Ogaki

    ()

    (Department of Economics, Ohio State University)

  • Sungwook Park

    ()

    (Department of Economics, Ohio State University)

Engel (1999) computes the variance of k-differences for each time horizon us- ing the method of Cochrane (1988) in order to measure the importance of the traded goods component in U.S. real exchange rate movements. The importance of traded goods should decrease as the horizon increases if the law of one price holds for traded goods in the long run. However, Engel ?nds that the variance of k-di¤erences decreases only initially and then increases as k approaches the sample size. He interpets the increasing variance as evidence of an increase in the long-run importance of the traded goods component. By contrast, we show that the variance of k-di¤erences tends to return to the initial value as k approaches the sample size whether the variable is stationary or unit root nonstationary. Our results imply that the increasing variances for k-values close to the sample size cannot be inter- preted as evidence of an increase in the importance of the traded goods component in the long run. We ?nd that our test results regarding the variance of k-di¤erences are consistent with smaller importance of the traded goods component in the longer run.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.econ.ohio-state.edu/pdf/ogaki/wp07-05.pdf
Download Restriction: no

Paper provided by Ohio State University, Department of Economics in its series Working Papers with number 07-05.

as
in new window

Length: 36 pages
Date of creation: Feb 2007
Date of revision:
Handle: RePEc:osu:osuewp:07-05
Contact details of provider: Postal: 410 Arps Hall 1945 North High Street Columbus, Ohio 43210-1172

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  2. Engel, C., 1996. "Accounting for U.S. Real Exchange Rate Changes," Discussion Papers in Economics at the University of Washington 96-02, Department of Economics at the University of Washington.
  3. Yixiao Sun & Peter C. B. Phillips & Sainan Jin, 2006. "Optimal Bandwidth Selection in Heteroskedasticity-Autocorrelation Robust Testing," Cowles Foundation Discussion Papers 1545, Cowles Foundation for Research in Economics, Yale University.
  4. Caroline M. Betts & Timothy J. Kehoe, 2004. "U.S. real exchange rate fluctuations and relative price fluctuations," Staff Report 334, Federal Reserve Bank of Minneapolis.
  5. Annika Alexius & Jonny Nilsson, 2000. "Real Exchange Rates and Fundamentals: Evidence from 15 OECD Countries," Open Economies Review, Springer, vol. 11(4), pages 383-397, October.
  6. Menzie D. Chinn, 2005. "A Primer on Real Effective Exchange Rates: Determinants, Overvaluation, Trade Flows and Competitive Devaluation," NBER Working Papers 11521, National Bureau of Economic Research, Inc.
  7. Burstein, Ariel Tomas & Eichenbaum, Martin & Rebelo, Sérgio, 2005. "The Importance of Nontradeable Goods' Prices in Cyclical Real Exchange Rate Fluctuations," CEPR Discussion Papers 5306, C.E.P.R. Discussion Papers.
  8. Burstein, Ariel T. & Neves, Joao C. & Rebelo, Sergio, 2003. "Distribution costs and real exchange rate dynamics during exchange-rate-based stabilizations," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1189-1214, September.
  9. Sarno, Lucio & Taylor, Mark P, 2001. "Purchasing Power Parity and the Real Exchange Rate," CEPR Discussion Papers 2913, C.E.P.R. Discussion Papers.
  10. Obstfeld, Maurice, 2001. "International Macroeconomics: Beyond the Mundell-Fleming Model," Center for International and Development Economics Research, Working Paper Series qt6796n8s0, Center for International and Development Economics Research, Institute for Business and Economic Research, UC Berkeley.
  11. Andrew W. Lo & A. Craig MacKinlay, 1988. "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," NBER Technical Working Papers 0066, National Bureau of Economic Research, Inc.
  12. Masao Ogaki & Jaebeom Kim, 2004. "Purchasing Power Parity for Traded and Non-traded Goods: A Structural Error Correction Model Approach," Econometric Society 2004 Far Eastern Meetings 515, Econometric Society.
  13. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," NBER Working Papers 10607, National Bureau of Economic Research, Inc.
  14. Parsley, David C., 2007. "Accounting for real exchange rate changes in East Asia," Journal of International Money and Finance, Elsevier, vol. 26(8), pages 1355-1377, December.
  15. Bernd Schnatz & Focco Vijsellaar & Chiara Osbat, 2004. "Productivity and the Euro-Dollar exchange rate," Review of World Economics (Weltwirtschaftliches Archiv), Springer, vol. 140(1), pages 1-30, March.
  16. Ariel Burstein & Martin Eichenbaum & Sergio Rebelo, 2004. "Large Devaluations and the Real Exchange Rate," RCER Working Papers 513, University of Rochester - Center for Economic Research (RCER).
  17. Kakkar, Vikas & Ogaki, Masao, 1999. "Real exchange rates and nontradables: A relative price approach," Journal of Empirical Finance, Elsevier, vol. 6(2), pages 193-215, April.
  18. Kiefer, Nicholas M. & Vogelsang, Timothy J., 2005. "A New Asymptotic Theory for Heteroskedasticity-Autocorrelation Robust Tests," Working Papers 05-08, Cornell University, Center for Analytic Economics.
  19. Cai, Ye & Shintani, Mototsugu, 2006. "On The Alternative Long-Run Variance Ratio Test For A Unit Root," Econometric Theory, Cambridge University Press, vol. 22(03), pages 347-372, June.
  20. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
  21. Campbell, John Y & Mankiw, N Gregory, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 857-80, November.
  22. Jaebeom Kim, 2005. "Convergence Rates to Purchasing Power Parity for Traded and Nontraded Goods: A Structural Error-Correction Model Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 76-86, January.
  23. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
  24. Mario J. Crucini & Mototsugu Shintani, 2002. "Persistence in Law-Of-One-Price Deviations: Evidence from Micro-Data," Vanderbilt University Department of Economics Working Papers 0222, Vanderbilt University Department of Economics, revised Jul 2004.
  25. Mario J. Crucini & Chris I. Telmer & Marios Zachariadis, 2005. "Understanding European Real Exchange Rates," American Economic Review, American Economic Association, vol. 95(3), pages 724-738, June.
  26. Sarno, Lucio & Valente, Giorgio, 2006. "Deviations from purchasing power parity under different exchange rate regimes: Do they revert and, if so, how?," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3147-3169, November.
  27. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  28. Deo, Rohit S. & Richardson, Matthew, 2003. "On The Asymptotic Power Of The Variance Ratio Test," Econometric Theory, Cambridge University Press, vol. 19(02), pages 231-239, April.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:osu:osuewp:07-05. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (John Slaughter)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.