MULTIFRACTAL BEHAVIOUR IN GOLD PRICES BY USING MF-DFA AND WTMM METHODS

In this paper, we investigate the multifractal features of a gold market which is known as the safe harbour in the face of political and economic chaos. We performed two different methodologies which are Multifractal Detrended Fluctuation Analysis (MF-DFA) and the Wavelet Transform Modulus Maxima (WTMM) in order to investigate the multifractality of Gold spot price/ounce. After given some brief introduction, then we explain the particular implementation of the above methods and compare their effectiveness. Finally, we conclude that gold price series are multifractal by these methods.

Keywords:

Gold, Multifractal MF-DFA, WTMM,

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Yudong Wang, Yu Wei, Chongfeng Wu, Analysis of the efficiency and multifractality of gold markets based on multifractal detrended fluctuation analysis, Physica A 390 (2011) 817–827
M. Ignaccolo, P. Allegrini, P. Grigolini, P. Hamilton, B.J. West, Physica A 336, 622 (2004)
Muzy, J. F., Bacry, E. & Arneodo, A. (1994) The multifractal formalism revisited with wavelets. Int. J. Bifurc. Chaos. 4, 245-302. (1994)
B. Mandelbrot(1963), “The variation of certain speculative prices”, J. Business 36 pp. 394–419.
Ramazan Gencay and Zhaoxia Xu (2003),“Scaling, self-similarity and multifractality in FX markets”, Physica A 323 pp. 578 – 590
Rama Cont(2001),”Empirical properties of asset returns: stylized facts and statistical issues”, QUANTITATIVE FINANCE VOLUME 1 pp 223–236
K. Matia, Y. Ashkenazy and H.E.Stanley (2003),”Multifractal properties of price fluctuations of stocks and commodities”, Europhys. Lett. 61 pp. 422-428
W. Kantelhardt, A. Zschiegner, Koscienlny-Bunde, Havlin, Multifractal detrended fluctuation analysis of nonstationary time series, Physica A316 (2002) 87_114.
Struzik. Z. R. (2000) Determining local singularity strengths and their spectra with the wavelet transform. Fractals 8, 163-179
Andrejs Puckovs, Andrejs Matvejevs, Wavelet Transform Modulus Maxima Approach for World Stock Index Multifractal Analysis.University,Information Technology and Management Science. pp76-86. Espen Ihlen (2012),”Introduction to multifractal detrended fluctuation analysis in
Matlab”,Frontiers in Physiology K. Matia, Y. Ashkenazy, H.E. Stanley, Multifractal properties of price fluctuations of stock and commodities, Europhysics Letter 61 (2003) 422–428.