Optimal And Adaptive Semi-Parametric Narrowband And Broadband And Maximum Likelihood Estimation Of The Long-Memory Parameter For Real Exchange Rates
AbstractThe nature of the time series properties of real exchange rates remains a contentious issue primarily because of the implications for purchasing power parity. In particular are real exchange rates best characterized as stationary and non-persistent; nonstationary but non-persistent; or nonstationary and persistent? Most assessments of this issue use the I(0)/I(1) paradigm, which only allows the first and last of these options. In contrast, in the I(d) paradigm, d fractional, all three are possible, with the crucial parameter d determining the long-run properties of the process. This study includes estimation of d by three methods of semi-parametric estimation in the frequency domain, using both local and global (Fourier) frequency estimation, and maximum likelihood estimation of ARFIMA models in the time domain. We give a transparent assessment of the key selection parameters in each method, particularly estimation of the truncation parameters for the semi-parametric methods. Two other important developments are also included. We implement Tanaka's locally best invariant parametric tests based on maximum likelihood estimation of the long-memory parameter and include a recent extension of the Dickey-Fuller approach, referred to as fractional Dickey-Fuller (FD-F), to fractionally integrated series, which allows a much wider range of generating processes under the alternative hypothesis. With this more general approach, we find very little evidence of stationarity for 10 real exchange rates for developed countries and some very limited evidence of nonstationarity but non-persistence, and none of the FD-F tests leads to rejection of the null of a unit root. Copyright Blackwell Publishing Ltd and The University of Manchester, 2005.
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Bibliographic InfoArticle provided by University of Manchester in its journal The Manchester School.
Volume (Year): 73 (2005)
Issue (Month): 2 (03)
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Postal: Manchester M13 9PL
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- Bond, Derek & Harrison, Michael J & Hession, Niall & O’Brien, Edward J., 2006.
"Some Empirical Observations on the Forward Exchange Rate Anomaly,"
Research Technical Papers
3/RT/06, Central Bank of Ireland.
- Derek Bond & Michael J. Harrison & Niall Hession & Edward J. O'Brien, 2006. "Some Empirical Observations on the Forward Exchange Rate Anomaly," Trinity Economics Papers tep2006, Trinity College Dublin, Department of Economics.
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