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

Purchasing Power Parity and the Taylor Rule

  • Hyeongwoo Kim
  • Ippei Fujiwara
  • Bruce E. Hansen
  • Masao Ogaki

It is well-known that there is a large degree of uncertainty around Rogoff's (1996) consensus half-life of the real exchange rate. To obtain a more efficient estimator, we develop a system method that combines the Taylor rule and a standard exchange rate model to estimate half-lives. Further, we propose a median unbiased estimator for the system method based on the generalized method of moments with nonparametric grid bootstrap confidence intervals. Applying the method to real exchange rates of 18 developed countries against the US dollar, we find that most half-life estimates from the single equation method fall in the range of 3 to 5 years with wide confidence intervals that extend to positive infinity. In contrast, the system method yields median-unbiased estimates that are typically shorter than one year with much sharper 95% confidence intervals. Our Monte Carlo simulation results are consistent with an interpretation of these results that the true half-lives are short but long half-life estimates from single equation methods are caused by the high degree of uncertainty of these methods.

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: https://cama.crawford.anu.edu.au/pdf/working-papers/2013/412013.pdf
Download Restriction: no

Paper provided by Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University in its series CAMA Working Papers with number 2013-41.

as
in new window

Length: 44 pages
Date of creation: Jun 2013
Date of revision:
Handle: RePEc:een:camaaa:2013-41
Contact details of provider: Postal: Crawford Building, Lennox Crossing, Building #132, Canberra ACT 2601
Phone: +61 2 6125 4705
Fax: +61 2 6125 5448
Web page: http://cama.crawford.anu.edu.auEmail:


More information through EDIRC

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. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Working Paper Series WP-01-08, Federal Reserve Bank of Chicago.
  2. Eichenbaum, Martin & Fisher, Jonas D.M., 2007. "Estimating the frequency of price re-optimization in Calvo-style models," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 2032-2047, October.
  3. Rossi, Barbara, 2002. "Confidence Intervals for Half-life Deviations from Purchasing Power Parity," Working Papers 02-08, Duke University, Department of Economics.
  4. Boivin, Jean, 2006. "Has U.S. Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1149-1173, August.
  5. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  6. Richard Clarida & Jordi Gali & Mark Gertler, 1997. "Monetary Policy Rules in Practice: Some International Evidence," NBER Working Papers 6254, National Bureau of Economic Research, Inc.
  7. Marco Del Negro & Frank Schorfheide, 2008. "Forming Priors for DSGE Models (and How it Affects the Assessment of Nominal Rigidities)," NBER Working Papers 13741, National Bureau of Economic Research, Inc.
  8. Lars E. O. Svensson, 2000. "Open-Economy Inflation Targeting," NBER Working Papers 6545, National Bureau of Economic Research, Inc.
  9. Hansen, Lars Peter & Sargent, Thomas J., 1982. "Instrumental variables procedures for estimating linear rational expectations models," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 263-296.
  10. Crucini, Mario J. & Shintani, Mototsugu, 2008. "Persistence in law of one price deviations: Evidence from micro-data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 629-644, April.
  11. Charles Engel & Kenneth D. West, 2004. "Exchange Rates and Fundamentals," NBER Working Papers 10723, National Bureau of Economic Research, Inc.
  12. Michael Woodford, 2007. "How Important is Money in the Conduct of Monetary Policy?," Levine's Working Paper Archive 122247000000001419, David K. Levine.
  13. Patrick J. Kehoe & Virgiliu Midrigan, 2007. "Sticky prices and sectoral real exchange rates," Working Papers 656, Federal Reserve Bank of Minneapolis.
  14. Murray, Christian J. & Papell, David H., 2002. "The purchasing power parity persistence paradigm," Journal of International Economics, Elsevier, vol. 56(1), pages 1-19, January.
  15. 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.
  16. 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.
  17. Carlos Carvalho & Fernanda Nechio, 2010. "Aggregation and the PPP puzzle in a sticky-price model," Working Paper Series 2010-06, Federal Reserve Bank of San Francisco.
  18. Jaebeom Kim & Masao Ogaki & Minseok Yang, 2007. "Structural Error Correction Models: A System Method for Linear Rational Expectations Models and an Application to an Exchange Rate Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(8), pages 2057-2075, December.
  19. West, Kenneth D, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, MIT Press, vol. 102(3), pages 553-80, August.
  20. Argia M. Sbordone, 2001. "Prices and Unit Labor Costs: A New Test of Price Stickiness," Departmental Working Papers 199822, Rutgers University, Department of Economics.
  21. Parsley, David & Wei, Shang-Jin, 2004. "A Prism into the PPP Puzzles: The Micro-Foundations of Big Mac Real Exchange Rates," CEPR Discussion Papers 4486, C.E.P.R. Discussion Papers.
  22. Christian Broda & David E. Weinstein, 2008. "Understanding International Price Differences Using Barcode Data," NBER Working Papers 14017, National Bureau of Economic Research, Inc.
  23. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, MIT Press, vol. 123(4), pages 1415-1464, November.
  24. Lars Peter Hansen & Thomas J. Sargent, 1979. "Formulating and estimating dynamic linear rational expectations models," Working Papers 127, Federal Reserve Bank of Minneapolis.
  25. Haroon Mumtaz & Jean Imbs & Morten O. Ravn & Helene Rey, 2003. "PPP Strikes Back; Aggregation and the Real Exchange Rate," IMF Working Papers 03/68, International Monetary Fund.
  26. Nelson C. Mark, 2005. "Changing Monetary Policy Rules, Learning, and Real Exchange Rate Dynamics," NBER Working Papers 11061, National Bureau of Economic Research, Inc.
  27. Molodtsova, Tanya & Nikolsko-Rzhevskyy, Alex & Papell, David H., 2008. "Taylor rules with real-time data: A tale of two countries and one exchange rate," Journal of Monetary Economics, Elsevier, vol. 55(Supplemen), pages S63-S79, October.
  28. Leandro M. Magnusson & Sophocles Mavroeidis, 2010. "Identification-Robust Minimum Distance Estimation of the New Keynesian Phillips Curve," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(2-3), pages 465-481, 03.
  29. Lars Peter Hansen & Thomas J. Sargent, 1981. "A note on Wiener-Kolmogorov prediction formulas for rational expectations models," Staff Report 69, Federal Reserve Bank of Minneapolis.
  30. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  31. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  32. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
  33. Molodtsova, Tanya & Papell, David H., 2009. "Out-of-sample exchange rate predictability with Taylor rule fundamentals," Journal of International Economics, Elsevier, vol. 77(2), pages 167-180, April.
  34. Jón Steinsson, 2008. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," NBER Working Papers 13910, National Bureau of Economic Research, Inc.
  35. Charles Engel & Kenneth D. West, 2004. "Taylor Rules and the Deutschmark-Dollar Real Exchange Rate," NBER Working Papers 10995, National Bureau of Economic Research, Inc.
  36. West, Kenneth D., 1989. "Estimation of linear rational expectations models, in the presence of deterministic terms," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 437-442, November.
  37. Andrews, Donald W K, 1993. "Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models," Econometrica, Econometric Society, vol. 61(1), pages 139-65, January.
  38. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
  39. Hansen,B.E., 1998. "The grid bootstrap and the autoregressive model," Working papers 26, Wisconsin Madison - Social Systems.
  40. Shiu-Sheng Chen & Charles Engel, 2005. "Does 'Aggregation Bias' Explain The Ppp Puzzle?," Pacific Economic Review, Wiley Blackwell, vol. 10(1), pages 49-72, 02.
  41. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  42. Lutz Kilian & Tao Zha, 2002. "Quantifying the uncertainty about the half-life of deviations from PPP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(2), pages 107-125.
  43. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  44. Galí, Jordi & Gertler, Mark, 1999. "Inflation Dynamics: A Structural Economic Analysis," CEPR Discussion Papers 2246, C.E.P.R. Discussion Papers.
  45. Mussa, Michael, 1982. "A Model of Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 74-104, February.
  46. Bruce E. Hansen, 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Boston College Working Papers in Economics 300., Boston College Department of Economics.
  47. Richard Clarida & Daniel Waldman, 2007. "Is Bad News About Inflation Good News for the Exchange Rate?," NBER Working Papers 13010, National Bureau of Economic Research, Inc.
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:een:camaaa:2013-41. 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: (Cama Admin)

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.