Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis

Memory in finance is the foundation of a well-established forecasting model, and new financial theory research shows that the stochastic memory model depends on different time windows. To accurately identify the multivariate long memory model in the financial market, this paper proposes the concept...

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Main Authors: Peng Zheng, Bin Liu, Zhongli Zhou
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/3051632
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author Peng Zheng
Bin Liu
Zhongli Zhou
author_facet Peng Zheng
Bin Liu
Zhongli Zhou
author_sort Peng Zheng
collection DOAJ
description Memory in finance is the foundation of a well-established forecasting model, and new financial theory research shows that the stochastic memory model depends on different time windows. To accurately identify the multivariate long memory model in the financial market, this paper proposes the concept of a moving V-statistic on the basis of a modified R/S method to determine whether the time series has a long-range dependence and subsequently to apply wavelet-based multiresolution analysis to study the multifractality of the financial time series to determine the initial data windows. Finally, we check the moving V-statistic estimation in wavelet analysis in the same condition; the paper selects the volatilities of the gold foreign exchange rates to evaluate the moving V-statistic. According to the results, the method of testing memory established in this paper can identify the breakpoint of the memories effectively. Furthermore, this method can provide support for forecasting returns in the financial market.
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institution Kabale University
issn 1026-0226
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publishDate 2018-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-1b76ca6ccedb4a518e34da4dccb1fd752025-02-03T01:24:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/30516323051632Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution AnalysisPeng Zheng0Bin Liu1Zhongli Zhou2College of Management Science, Chengdu University of Technology, Chengdu, Sichuan Province 610059, ChinaCollege of Management Science, Chengdu University of Technology, Chengdu, Sichuan Province 610059, ChinaCollege of Management Science, Chengdu University of Technology, Chengdu, Sichuan Province 610059, ChinaMemory in finance is the foundation of a well-established forecasting model, and new financial theory research shows that the stochastic memory model depends on different time windows. To accurately identify the multivariate long memory model in the financial market, this paper proposes the concept of a moving V-statistic on the basis of a modified R/S method to determine whether the time series has a long-range dependence and subsequently to apply wavelet-based multiresolution analysis to study the multifractality of the financial time series to determine the initial data windows. Finally, we check the moving V-statistic estimation in wavelet analysis in the same condition; the paper selects the volatilities of the gold foreign exchange rates to evaluate the moving V-statistic. According to the results, the method of testing memory established in this paper can identify the breakpoint of the memories effectively. Furthermore, this method can provide support for forecasting returns in the financial market.http://dx.doi.org/10.1155/2018/3051632
spellingShingle Peng Zheng
Bin Liu
Zhongli Zhou
Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
Discrete Dynamics in Nature and Society
title Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
title_full Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
title_fullStr Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
title_full_unstemmed Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
title_short Memories of the Gold Foreign Exchange Market Based on a Moving V-Statistic and Wavelet-Based Multiresolution Analysis
title_sort memories of the gold foreign exchange market based on a moving v statistic and wavelet based multiresolution analysis
url http://dx.doi.org/10.1155/2018/3051632
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AT binliu memoriesofthegoldforeignexchangemarketbasedonamovingvstatisticandwaveletbasedmultiresolutionanalysis
AT zhonglizhou memoriesofthegoldforeignexchangemarketbasedonamovingvstatisticandwaveletbasedmultiresolutionanalysis