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Purchasing Power Parity and the Taylor Rule

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  • Masao Ogaki

    (Department of Economics, Ohio State University)

  • Hyeongwoo Kim

    (Department of Economics, Auburn University)

Abstract

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.

Suggested Citation

  • Masao Ogaki & Hyeongwoo Kim, 2009. "Purchasing Power Parity and the Taylor Rule," Working Papers 09-03, Ohio State University, Department of Economics.
  • Handle: RePEc:osu:osuewp:09-03
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    3. Arellano, Manuel & Hansen, Lars Peter & Sentana, Enrique, 2012. "Underidentification?," Journal of Econometrics, Elsevier, vol. 170(2), pages 256-280.
    4. Kim, Hyeongwoo & Durmaz, Nazif, 2012. "Bias correction and out-of-sample forecast accuracy," International Journal of Forecasting, Elsevier, vol. 28(3), pages 575-586.
    5. Ivo Arnold & Evert Vrugt, 2012. "Forecasting with the Taylor rule," Applied Financial Economics, Taylor & Francis Journals, vol. 22(18), pages 1501-1510, September.
    6. Jian Wang & Jason J. Wu, 2012. "The Taylor Rule and Forecast Intervals for Exchange Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(1), pages 103-144, February.
    7. Adriana Fernandez & Evan F. Koenig & Alex Nikolsko-Rzhevskyy, 2008. "The relative performance of alternative Taylor rule specifications," Staff Papers, Federal Reserve Bank of Dallas, issue Jun.
    8. Kim, Hyeongwoo, 2009. "On the usefulness of the contrarian strategy across national stock markets: A grid bootstrap analysis," Journal of Empirical Finance, Elsevier, vol. 16(5), pages 734-744, December.
    9. Yu‐Hsi Chou & Chia‐Yi Yen, 2023. "Convenience yield and real exchange rate dynamics: A present‐value interpretation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(2), pages 453-489, May.

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    More about this item

    Keywords

    Purchasing Power Parity; Calvo Pricing; Taylor Rule; Half-Life of PPP Deviations; Median Unbiased Estimator; Grid-t Confidence Interval;
    All these keywords.

    JEL classification:

    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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