Empirical Analysis of the Fractal Features Analysis on London Gold Futures Market
Applied and Computational Mathematics
Volume 4, Issue 3, June 2015, Pages: 130-134
Received: Apr. 5, 2015;
Accepted: Apr. 14, 2015;
Published: May 4, 2015
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Hong Zhang, School of Information, Beijing Wuzi University, Beijing, China
Li Zhou, School of Information, Beijing Wuzi University, Beijing, China
Jian Guo, School of Information, Beijing Wuzi University, Beijing, China
In this paper, we study the fractal characteristics of the futures market. We take the empirical study on London Gold Futures yield by Rescaled Range Analysis, analyzing the fractal characteristics of the futures market. We further determine fractal characteristics and the structure of the nonlinear time series through random disturb the original time series observation sequence. The result of R/S analysis shows that the movement of market prices of the financial markets has obvious nonperiodic circle, with Hurst index large than 0.5 and C (t) large than 0, which indicates clear fractal properties. And the result also shows that the influence of price limit on the fractal properties of London Gold Futures Market is very remarkable.
Empirical Analysis of the Fractal Features Analysis on London Gold Futures Market, Applied and Computational Mathematics.
Vol. 4, No. 3,
2015, pp. 130-134.
Terence C. Mills. Statistical analysis of high frequency data from the Athens stock exchange [J].Physica A, 2001, 293: 566-572.
Marc-Etienne Brachet, Erik Taflin, Jean Marcel Tcheou. Scaling transformation and probability distributions for financial time series [J]. Chaos, Solitons and Fractals, 2000, 11: 2343-2348.
Verslin M. C., Belward J. A., Fractal dimensions for rainfall time series [J], Mathematics and computers in Simulation, 1999(48): 437~446
Ge Shirong, Chen Guoan, Fractal prediction models of sliding wear during the running in proecess[J], Wear, 1999(231): 249~255.
Fisher, A., Calvert L., Mandelbrot, B. B., Multifractality of deutschmark/US dollar exchange rates[R], Working paper, Yale university, 1997
Mandelbrot B. B., Fisher A., Calvert L., A multifractal model of asset returns[R], Working paper, Yale university, 1997.
Chung Yuan, Statistical properties of volatility in fractal dimension and probability distribution among six stock markets---USA . Japan, Taiwan, South, Korea, Singapore, and HongKong[R], Working paper, New York, SSRN, id425300, 2004
Cornelis A. Los, Measuring the degree of financial market efficiency: An essay[R], Working paper, New York, SSRN, id614544, 2004
Yan Olszewski, Building a better fund of hedge funds: a fractal and α-stable distribution approach[R] , Working paper, New York, SSRN, id776064, 2004.
Lawrence A. Cunningham, From random walks to chaotic crashes: the linear genealogy of the efficient capital market hypothesis[R], Working paper, New York, SSRN, id 244670, 2004.
Cornelis A. Los, Rossitsa Yalamova, Multifractal spectral analysis of the 1987 stock[R], Working paper, New York, SSRN, id588823, 2004.