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Spectral Tests of the Martingale Hypothesis for Exchange Rates

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Fong, Wai Mun
Ouliaris, Sam

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Abstract

A new family of spectral shape tests was proposed recently by Durlauf (1991) for testing the martingale hypothesis. Unlike the widely used variance ratio test, spectral shape tests are consistent against all stationary non-white-noise alternatives from the martingale null. In this paper we examine the finite sample properties of the spectral shape tests and find that the tests have good size and power properties even for small samples. We apply the tests to examine the martingale hypothesis for five major currencies vis-a-vis the U.S. dollar for the period 1974-89. The results indicate that most currencies violate the martingale hypothesis. It appears that some rejections are due to long-memory influences. Copyright 1995 by John Wiley & Sons, Ltd.

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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 10 (1995)
Issue (Month): 3 (July-Sept.)
Pages: 255-71
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Handle: RePEc:jae:japmet:v:10:y:1995:i:3:p:255-71

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  1. Jan Beran, 1999. "SEMIFAR Models - A Semiparametric Framework for Modelling Trends, Long Range Dependence and Nonstationarity," CoFE Discussion Paper 99-16, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  2. John Pippenger, 2008. "Freely Floating Exchange Rates Do Not Systematically Overshoot," University of California at Santa Barbara, Economics Working Paper Series 01-08, Department of Economics, UC Santa Barbara. [Downloadable!]
  3. Choi, In, 1999. "Testing the Random Walk Hypothesis for Real Exchange Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(3), pages 293-308, May-June. [Downloadable!]
  4. J. Carlos Escanciano & Carlos Velasco, 2003. "Generalized Spectral Tests For The Martingale Difference Hypothesis," Statistics and Econometrics Working Papers ws035212, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
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  5. Jan Beran & Yuanhua Feng & Günter Franke & Dieter Hess & Dirk Ocker, 1999. "SEMIFAR Models, with Applications to Commodities, Exchange Rates and the Volatility of Stock Market Indices," CoFE Discussion Paper 99-18, Center of Finance and Econometrics, University of Konstanz. [Downloadable!]
  6. Juan Carlos Escanciano, 2005. "On the Asymptotic Power Properties of Specification Tests for Dynamic Parametric Regressions," Faculty Working Papers 07/05, School of Economics and Business Administration, University of Navarra. [Downloadable!]
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