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Temporal Aggregation Of An Estar Process: Some Implications For Purchasing Power Parity Adjustment

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  • Ivan Paya

    ()
    (Universidad de Alicante)

  • David A. Peel

    (University Management School)

Abstract

Nonlinear models of deviations from PPP have recently provided an important, theoretically well motivated, contribution to the PPP puzzle. Most of these studies use temporally aggregated data to empirically estimate the nonlinear models. As noted by Taylor (2001), if the true DGP is nonlinear, the temporally aggregated data could exhibit misleading properties regarding the adjustment speeds. We examine the effects of different levels of temporal aggregation on\ estimates of ESTAR models of real exchange rates. Our Monte Carlo results show that temporal aggregation does not imply the disappearance of nonlinearity and that adjustment speeds are significantly slower in temporally aggregated data than in the true DGP. Furthermore, the autoregressive structure of some monthly ESTAR estimates found in the literature is suggestive that adjustment speeds are even faster than implied by the monthly estimates.

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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2004-25.

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Length: 25 pages
Date of creation: Jun 2004
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2004-25

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Keywords: ESTAR; Real Exchange Rate; Purchasing Power Parity; Aggregation.;

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References

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  1. Ivan Paya & David Peel, 2007. "On the relationship between nominal exchange rates and domestic and foreign prices," Applied Financial Economics, Taylor & Francis Journals, vol. 17(2), pages 105-117.
  2. van Dijk, D.J.C. & Franses, Ph.H.B.F. & Boswijk, H.P., 2000. "Asymmetric and common absorption of shocks in nonlinear autoregressive models," Econometric Institute Research Papers EI 2000-01/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  3. Granger, Clive W J, 1991. " Developments in the Nonlinear Analysis of Economic Series," Scandinavian Journal of Economics, Wiley Blackwell, vol. 93(2), pages 263-76.
  4. Kilian, Lutz & Taylor, Mark P, 2001. "Why is it so Difficult to Beat the Random Walk Forecast of Exchange Rates?," CEPR Discussion Papers 3024, C.E.P.R. Discussion Papers.
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  6. Ivan Paya & David A. Peel, 2004. "Nonlinear Ppp Under The Gold Standard," Working Papers. Serie AD 2004-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Berka, Martin, 2005. "General Equilibrium Model of Arbitrage Trade and Real Exchange Rate Persistence," MPRA Paper 234, University Library of Munich, Germany.
  8. Tse, Yiuman, 2001. "Index arbitrage with heterogeneous investors: A smooth transition error correction analysis," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1829-1855, October.
  9. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  10. Ivan Paya & Ioannis A. Venetis & David A. Peel, 2003. "Further Evidence on PPP Adjustment Speeds: the Case of Effective Real Exchange Rates and the EMS," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(4), pages 421-437, 09.
  11. Byers, J D & Peel, D A, 2000. "Non-linear Dynamics of Inflation in High Inflation Economies," Manchester School, University of Manchester, vol. 68(0), pages 23-37, Supplemen.
  12. Francis X. Diebold & Steven Husted & Mark Rush, 1990. "Real exchange rates under the gold standard," Discussion Paper / Institute for Empirical Macroeconomics 32, Federal Reserve Bank of Minneapolis.
  13. JamesR. Lothian & MarkP. Taylor, 2008. "Real Exchange Rates Over the Past Two Centuries: How Important is the Harrod-Balassa-Samuelson Effect?," Economic Journal, Royal Economic Society, vol. 118(532), pages 1742-1763, October.
  14. Peel, David & Sarno, Lucio & Taylor, Mark P, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Towards a Solution to the Purchasing Power Parity Puzzles," CEPR Discussion Papers 2658, C.E.P.R. Discussion Papers.
  15. 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.
  16. Eitrheim, Øyvind & Teräsvirta, Timo, 1995. "Testing the Adequacy of Smooth Transition Autoregressive Models," Working Paper Series in Economics and Finance 56, Stockholm School of Economics.
  17. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  18. Alan M. Taylor, 2000. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," NBER Working Papers 7577, National Bureau of Economic Research, Inc.
  19. Ivan Paya & David A. Peel, 2005. "A New Analysis Of The Determinants Of The Real Dollar-Sterling Exchange Rate: 1871-1994," Working Papers. Serie AD 2005-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  20. Christian J. Murray & David H. Papell, 2000. "The Purchasing Power Parity Persistence Paradigm," Econometric Society World Congress 2000 Contributed Papers 0017, Econometric Society.
  21. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  22. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
  23. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-81, November.
  24. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
  25. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993. "Nonlinear Dynamic Structures," Econometrica, Econometric Society, vol. 61(4), pages 871-907, July.
  26. Christopher F. Baum & Mustafa Caglayan & John Barkoulas, 1998. "Nonlinear Adjustment to Purchasing Power Parity in the post-Bretton Woods Era," Boston College Working Papers in Economics 404., Boston College Department of Economics, revised 16 Nov 1999.
  27. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
  28. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
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Citations

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Cited by:
  1. Derek Stimel, 2010. "Choice of Aggregate Demand Proxy and its Affect on Phillips Curve Nonlinearity: U.S. Evidence," Economics Bulletin, AccessEcon, vol. 30(1), pages 543-557.
  2. Mohamed Boutahar & Imene Mootamri & Anne Peguin-Feissolle, 2007. "An exponential FISTAR model applied to the US real effective exchange rate," Working Papers halshs-00353836, HAL.
  3. I Paya & D Peel, 2005. "A new analysis of the determinants of the real dollar-sterling exchange rate: 1871-1994," Working Papers 565953, Lancaster University Management School, Economics Department.
  4. Boutahar, Mohamed & Mootamri, Imène & Péguin-Feissolle, Anne, 2009. "A fractionally integrated exponential STAR model applied to the US real effective exchange rate," Economic Modelling, Elsevier, vol. 26(2), pages 335-341, March.
  5. Ivan Paya & David A. Peel, 2004. "Nonlinear Ppp Under The Gold Standard," Working Papers. Serie AD 2004-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  6. Ivan Paya & David A. Peel, 2005. "The Process Followed By Ppp Data. On The Properties Of Linearity Tests," Working Papers. Serie AD 2005-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  7. Juvenal Luciana & Taylor Mark P., 2008. "Threshold Adjustment of Deviations from the Law of One Price," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-46, September.
  8. repec:ebl:ecbull:v:30:y:2010:i:1:p:543-557 is not listed on IDEAS
  9. I Paya & D Peel, 2005. "Temporal aggregation of an ESTAR process," Working Papers 565938, Lancaster University Management School, Economics Department.
  10. Pavlidis, Efthymios G. & Paya, Ivan & Peel, David A., 2011. "Real exchange rates and time-varying trade costs," Journal of International Money and Finance, Elsevier, vol. 30(6), pages 1157-1179, October.
  11. Yamin Ahmad & Ivan Paya, 2014. "Temporal Aggregation of Random Walk Processes and Implications for Asset Prices," Working Papers 14-01, UW-Whitewater, Department of Economics.

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