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Purchasing Power Parity and the Taylor Rule

  • Masao Ogaki

    ()

    (Department of Economics, Ohio State University)

  • Hyeongwoo Kim

    ()

    (Department of Economics, Auburn University)

In the Kehoe and Midrigan (2007) model, the persistence parameter of the real exchange rate is closely related to the measure of price stickiness in the Calvo-pricing model. When we employ this view, Rogo 's (1996) 3 to 5 year consensus half-life implies that rms update their prices every 18 to 30 quarters on average. This is at odds with most estimates from U.S. aggregate data when single equation methods are applied to the New Keynesian Phillips Curve (NKPC), or when system methods are applied to Dynamic Stochastic General Equilibrium (DSGE) models that include the NKPC. It is well known, however, that there is a large degree of uncertainty around the consensus half-life of the real exchange rate. To obtain a more efficient estimator, this paper develops a system method that combines the Taylor rule and a standard exchange rate model to estimate half-lives. We use a median unbiased estimator for the system method with nonparametric bootstrap confidence intervals, and compare the results with those from the single equation method typically used in the literature. Applying the method to the real exchange rates of 18 developed countries against the U.S. dollar, we nd that most of the 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, most of which range from 3 quarters to 5 years. These median unbiased estimates and the lower bound of the confidence intervals for the half-lives of real exchange rates are consistent with most estimates of price stickiness using aggregate U.S. data for the NKPC and DSGE models.

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File URL: http://www.econ.ohio-state.edu/pdf/ogaki/wp09-03.pdf
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Paper provided by Ohio State University, Department of Economics in its series Working Papers with number 09-03.

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Length: 34 pages
Date of creation: Apr 2009
Date of revision:
Handle: RePEc:osu:osuewp:09-03
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  1. Shiu-Sheng Chen & Charles Engel, 2004. "Does "Aggregation Bias" Explain the PPP Puzzle?," NBER Working Papers 10304, National Bureau of Economic Research, Inc.
  2. Nelson C. Mark, 2009. "Changing Monetary Policy Rules, Learning, and Real Exchange Rate Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(6), pages 1047-1070, 09.
  3. Jean Imbs & Haroon Mumtaz & Morten Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation and the Real Exchange Rate," The Quarterly Journal of Economics, MIT Press, vol. 120(1), pages 1-43, January.
  4. Rossi, Barbara, 2002. "Confidence Intervals for Half-life Deviations from Purchasing Power Parity," Working Papers 02-08, Duke University, Department of Economics.
  5. Michael Woodford, 2007. "How Important is Money in the Conduct of Monetary Policy?," Levine's Working Paper Archive 122247000000001419, David K. Levine.
  6. Mario J. Crucini & Mototsugu Shintani, 2006. "Persistence in Law-Of-One-Price Deviations: Evidence from Micro-Data," Vanderbilt University Department of Economics Working Papers 0616, Vanderbilt University Department of Economics.
  7. Svensson, L.E.O., 1998. "Open-Economy Inflation Targeting," Papers 638, Stockholm - International Economic Studies.
  8. Mussa, Michael, 1982. "A Model of Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 74-104, February.
  9. West, Kenneth D, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, MIT Press, vol. 102(3), pages 553-80, August.
  10. Hansen,B.E., 1998. "The grid bootstrap and the autoregressive model," Working papers 26, Wisconsin Madison - Social Systems.
  11. Sbordone, A.M., 1998. "Prices and Unit Labor Costs: a New Test of Price Stickiness," Papers 653, Stockholm - International Economic Studies.
  12. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
  13. Lars Peter Hansen & Thomas J. Sargent, 1981. "Instrumental variables procedures for estimating linear rational expectations models," Staff Report 70, Federal Reserve Bank of Minneapolis.
  14. 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.
  15. 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.
  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. 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.
  18. 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.
  19. Patrick J. Kehoe & Virgiliu Midrigan, 2007. "Sticky prices and sectoral real exchange rates," Working Papers 656, Federal Reserve Bank of Minneapolis.
  20. Marco Del Negro & Frank Schorfheide, 2008. "Forming priors for DSGE models (and how it affects the assessment of nominal rigidities)," Staff Reports 320, Federal Reserve Bank of New York.
  21. 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.
  22. Carlos Carvalho & Fernanda Nechio, 2011. "Aggregation and the PPP Puzzle in a Sticky-Price Model," American Economic Review, American Economic Association, vol. 101(6), pages 2391-2424, October.
  23. Jon Steinsson, 2005. "The Dynamic Behavior of the Real Exchange Rate in Sticky Price Models," Economics wp28_jonst, Department of Economics, Central bank of Iceland.
  24. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1997. "Monetary Policy Rules in Practice: Some International Evidence," CEPR Discussion Papers 1750, C.E.P.R. Discussion Papers.
  25. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  26. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
  27. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  28. Hansen, Lars Peter & Sargent, Thomas J., 1981. "A note on Wiener-Kolmogorov prediction formulas for rational expectations models," Economics Letters, Elsevier, vol. 8(3), pages 255-260.
  29. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  30. 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.
  31. 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.
  32. 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.
  33. Engel, Charles & West, Kenneth D., 2003. "Exchange rates and fundamentals," Working Paper Series 0248, European Central Bank.
  34. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
  35. 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.
  36. 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.
  37. Engel, Charles & West, Kenneth D., 2006. "Taylor Rules and the Deutschmark: Dollar Real Exchange Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1175-1194, August.
  38. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  39. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  40. Christian Broda & David E. Weinstein, 2008. "Understanding International Price Differences Using Barcode Data," NBER Working Papers 14017, National Bureau of Economic Research, Inc.
  41. 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.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
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