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Long range dependence and the purchasing power parity (in Russian)

Author

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  • Oleg Obrezkov

    (VRG Investments, Russia)

Abstract

The aim of this paper is to explore the purchasing power parity between the United States and Japan. This is done indirectly by estimating fractional integration orders of the aggregate price series in the two countries and nominal and real exchange rates. Our results suggest that both nominal and real exchange rates are well described by conventional I(1)-processes whereas both US and Japan's price levels are around I(1.46). The latter result comes into contradiction with the traditional view that aggregate price series are usually second-order integrated processes. The point estimate of the fractional integration order for the log-difference in price levels in the US and Japan yields the figure 1.33 which is (statistically) smaller than the order 1.46 obtained for the aggregate price series. The latter result may be considered as a (very weak) evidence of the purchasing power parity property: the fractional order of the ratio of the price levels is smaller than that for each price level.

Suggested Citation

  • Oleg Obrezkov, 2007. "Long range dependence and the purchasing power parity (in Russian)," Quantile, Quantile, issue 2, pages 131-140, March.
  • Handle: RePEc:qnt:quantl:y:2007:i:2:p:131-140
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    References listed on IDEAS

    as
    1. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    2. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
    3. Ghysels, Eric, 1990. "Unit-Root Tests and the Statistical Pitfalls of Seasonal Adjustment: The Case of U.S. Postwar Real Gross National Product," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 145-152, April.
    4. Cheung, Yin-Wong, 1993. "Long Memory in Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 93-101, January.
    5. Richard R. Nelson, 1982. "The Role of Knowledge in R&D Efficiency," The Quarterly Journal of Economics, Oxford University Press, vol. 97(3), pages 453-470.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    purchasing power parity; exchange rates; fractional integration;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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