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A Reexamination Of Fractional Integrating Dynamics In Foreign Currency Markets

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  • Elder, John
  • Jin, Hyun Joung
  • Koo, Won W.

Abstract

This paper reexamines foreign currency markets for evidence of fractional integration, and extends the extant literature in several important dimensions. First, we utilize a new semiparametric wavelet-based estimator, which is far superior to the more prevalent GPH estimator on the basis of mean squared error. Second, we utilize a broader and longer sample, which better facilitates the detection of long memory dynamics. Our analysis yields interesting empirical results that contrast with other recent studies. In particular, we find new evidence that a large proportion (fourteen out of nineteen) of exchange rate series display evidence of long memory, with little variation over alternative sample periods.

Suggested Citation

  • Elder, John & Jin, Hyun Joung & Koo, Won W., 2004. "A Reexamination Of Fractional Integrating Dynamics In Foreign Currency Markets," 2004 Annual meeting, August 1-4, Denver, CO 20004, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    • Handle: RePEc:ags:aaea04:20004
    DOI: 10.22004/ag.econ.20004
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    References listed on IDEAS

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    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. John Geweke & Susan Porter‐Hudak, 1983. "The Estimation And Application Of Long Memory Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 221-238, July.
    3. repec:bla:jfinan:v:44:y:1989:i:1:p:167-81 is not listed on IDEAS
    4. Papell, David H., 2002. "The great appreciation, the great depreciation, and the purchasing power parity hypothesis," Journal of International Economics, Elsevier, vol. 57(1), pages 51-82, June.
    5. Breidt, F. Jay & Crato, Nuno & de Lima, Pedro, 1998. "The detection and estimation of long memory in stochastic volatility," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 325-348.
    6. 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.
    7. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    8. Mark J. Jensen, 1997. "Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter," Econometrics 9710002, University Library of Munich, Germany.
    9. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    10. Pan, Ming-Shiun & Liu, Y Angela & Bastin, Hamid, 1996. "An Examination of the Short-Term and Long-Term Behavior of Foreign Exchange Rates," The Financial Review, Eastern Finance Association, vol. 31(3), pages 603-622, August.
    11. Tkacz Greg, 2001. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-15, April.
    12. Baillie, Richard T & Bollerslev, Tim, 1994. "Cointegration, Fractional Cointegration, and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 737-745, June.
    13. John T. Barkoulas & Christopher F. Baum & Mustafa Caglayan & Atreya Chakraborty, 1998. "Persistent Dependence in Foreign Exchange Rates? A Reexamination," Boston College Working Papers in Economics 377, Boston College Department of Economics, revised 21 Apr 2000.
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    Cited by:

    1. Mejra Festic & Alenka Kavkler & Silvo Dajcman, 2012. "Long memory in the Croatian and Hungarian stock market returns," Zbornik radova Ekonomskog fakulteta u Rijeci/Proceedings of Rijeka Faculty of Economics, University of Rijeka, Faculty of Economics and Business, vol. 30(1), pages 115-139.
    2. Sensoy, Ahmet & Tabak, Benjamin M., 2016. "Dynamic efficiency of stock markets and exchange rates," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 353-371.
    3. In, Francis & Kim, Sangbae, 2006. "Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis," Journal of Multinational Financial Management, Elsevier, vol. 16(4), pages 411-423, October.
    4. Aouad Hadjer, Soumia & Taouli, Mustapha Kamel & Benbouziane, Mohamed, 2012. "Modélisation du Comportement du Taux de Change du Dinar Algérien: Une Investigation Empirique par la Méthode ARFIMA [Modeling of the Algerian Dinar Exchange Rate: An empirical investigation using t," MPRA Paper 38605, University Library of Munich, Germany.
    5. Fredrik Andersson, 2014. "Exchange rates dynamics revisited: a panel data test of the fractional integration order," Empirical Economics, Springer, vol. 47(2), pages 389-409, September.
    6. Shahzad, Syed Jawad Hussain & Hernandez, Jose Areola & Hanif, Waqas & Kayani, Ghulam Mujtaba, 2018. "Intraday return inefficiency and long memory in the volatilities of forex markets and the role of trading volume," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 433-450.
    7. Michael KUEHL, 2008. "Strong Comovements of Exchange Rates: Theoretical and Empirical Cases when Currencies Become the Same Asset," EcoMod2008 23800071, EcoMod.
    8. repec:got:cegedp:76 is not listed on IDEAS
    9. Jin, Hyun Joung, 2008. "A Long Memory Conditional Variance Model for International Grain Markets," Journal of Rural Development/Nongchon-Gyeongje, Korea Rural Economic Institute, vol. 31(2), pages 1-23, May.
    10. Sensoy, A., 2013. "Effects of monetary policy on the long memory in interest rates: Evidence from an emerging market," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 85-88.

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