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Multi-Fractality in Foreign Currency Markets

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  • Marco Corazza

    () (University Ca’ Foscari of Venice, Italy)

  • A. G. Malliaris

    (Loyola University Chicago, U.S.A.)

Abstract

Several empirical studies have shown the inadequacy of the standard Brownian motion (sBm) as a model of asset returns. To correct for this evidence some authors have conjectured that asset returns may be independently and identically Pareto-Levy stable (PLs) distributed, whereas others have asserted that asset returns may be identically - but not independently - fractional Brownian motion (fBm) distributed with Hurst exponents, in both cases, that differ from 0.5. In this article we empirically explore such non-standard assumptions for both spot and (nearby) futures returns for five foreign currencies: the British Pound, the Canadian Dollar, the German Mark, the Swiss Franc, and the Japanese Yen.

Suggested Citation

  • Marco Corazza & A. G. Malliaris, 2002. "Multi-Fractality in Foreign Currency Markets," Multinational Finance Journal, Multinational Finance Journal, vol. 6(2), pages 65-98, June.
  • Handle: RePEc:mfj:journl:v:6:y:2002:i:2:p:65-98
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    References listed on IDEAS

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    1. Flood, Robert P. & Rose, Andrew K., 1995. "Fixing exchange rates A virtual quest for fundamentals," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 3-37, August.
    2. Helge Berger & Jan-Egbert Sturm & Jakob de Haan, 2000. "An Empirical Investigation into Exchange Rate Regime Choice and Exchange Rate Volatility," CESifo Working Paper Series 263, CESifo Group Munich.
    3. Frenkel, Jacob A & Mussa, Michael L, 1980. "The Efficiency of Foreign Exchange Markets and Measures of Turbulence," American Economic Review, American Economic Association, vol. 70(2), pages 374-381, May.
    4. Bodart, Vincent & Reding, Paul, 1999. "Exchange rate regime, volatility and international correlations on bond and stock markets," Journal of International Money and Finance, Elsevier, vol. 18(1), pages 133-151, January.
    5. Baxter, Marianne & Stockman, Alan C., 1989. "Business cycles and the exchange-rate regime : Some international evidence," Journal of Monetary Economics, Elsevier, vol. 23(3), pages 377-400, May.
    6. Richards, Anthony J., 1995. "Comovements in national stock market returns: Evidence of predictability, but not cointegration," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 631-654, December.
    7. Krugman, Paul & Miller, Marcus, 1993. "Why have a target zone?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 38(1), pages 279-314, June.
    8. Richard C. Marston, 1983. "Stabilization Policies in Open Economies," NBER Working Papers 1117, National Bureau of Economic Research, Inc.
    9. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
    10. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    11. Rose, Andrew K, 1996. "After the Deluge: Do Fixed Exchange Rates Allow Inter-temporal Volatility Tradeoffs?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 1(1), pages 47-54, January.
    12. Cheung, Yin-Wong & Ng, Lilian K., 1996. "A causality-in-variance test and its application to financial market prices," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 33-48.
    13. Marston, Richard C., 1985. "Stabilization policies in open economies," Handbook of International Economics,in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 17, pages 859-916 Elsevier.
    14. Melvin, Michael, 1985. "The Choice of an Exchange Rate System and Macroeconomic Stability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 17(4), pages 467-478, November.
    15. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-328, August.
    16. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    17. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
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    Cited by:

    1. Jamdee, Sutthisit & Los, Cornelis A., 2007. "Long memory options: LM evidence and simulations," Research in International Business and Finance, Elsevier, pages 260-280.
    2. Trinidad Segovia, J.E. & Fernández-Martínez, M. & Sánchez-Granero, M.A., 2012. "A note on geometric method-based procedures to calculate the Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2209-2214.
    3. Karuppiah, Jeyanthi & Los, Cornelis A., 2005. "Wavelet multiresolution analysis of high-frequency Asian FX rates, Summer 1997," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 211-246.
    4. Mitra, S.K. & Bawa, Jaslene, 2017. "Can trade opportunities and returns be generated in a trend persistent series? Evidence from global indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 124-135.
    5. Bo Qian & Khaled Rasheed, 2010. "Foreign exchange market prediction with multiple classifiers," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 29(3), pages 271-284.
    6. Kyaw, NyoNyo A. & Los, Cornelis A. & Zong, Sijing, 2006. "Persistence characteristics of Latin American financial markets," Journal of Multinational Financial Management, Elsevier, pages 269-290.
    7. Withanawasam, R.M. & Whigham, P.A. & Crack, Timothy Falcon, 2013. "Characterizing limit order prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5346-5355.
    8. Sutthisit Jamdee & Cornelis A. Los, 2005. "Multifractal Modeling of the US Treasury Term Structure and Fed Funds Rate," Finance 0502021, EconWPA.
    9. Cornelis A. Los & Rossitsa M. Yalamova, 2004. "Multi-Fractal Spectral Analysis of the 1987 Stock Market Crash," Finance 0409050, EconWPA.
    10. Ladislav Kristoufek, 2012. "Fractal Markets Hypothesis And The Global Financial Crisis: Scaling, Investment Horizons And Liquidity," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1-13.
    11. Kyrtsou, Catherine & Malliaris, Anastasios G., 2009. "The impact of information signals on market prices when agents have non-linear trading rules," Economic Modelling, Elsevier, vol. 26(1), pages 167-176, January.
    12. Guglielmo Maria Caporale & Luis Gil-Alana & Alex Plastun & Inna Makarenko, 2016. "Long memory in the Ukrainian stock market and financial crises," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 40(2), pages 235-257, April.
    13. Claudeci Da Silva & Hugo Agudelo Murillo & Joaquim Miguel Couto, 2014. "Early Warning Systems: Análise De Ummodelo Probit De Contágio De Crise Dos Estados Unidos Para O Brasil(2000-2010)," Anais do XL Encontro Nacional de Economia [Proceedings of the 40th Brazilian Economics Meeting] 110, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].

    More about this item

    Keywords

    exponent of Hurst; fractional Brownian motion; multi-fractal market hypothesis; Pareto-Levy stable process; R/S analysis;

    JEL classification:

    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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