华南理工大学学报(自然科学版) ›› 2006, Vol. 34 ›› Issue (11): 123-126.

• 数学科学 • 上一篇    

分形小波在外汇投资市场中的应用

奚振斐 宋国乡   

  1. 西安电子科技大学 理学院,陕西 西安 710071
  • 收稿日期:2006-01-19 出版日期:2006-11-25 发布日期:2006-11-25
  • 通信作者: 奚振斐(1957-),男,博士,高级工程师,主要从事金融理财的研究 E-mail:xzf5507@sina.com
  • 作者简介:奚振斐(1957-),男,博士,高级工程师,主要从事金融理财的研究
  • 基金资助:

    中国城市金融学会资助项目(05003)

Application of Fractal W avelet to Foreign Exchange Investment M arket

Xi Zhen-fel  Song Guo-xiang   

  1. School of Science,Xidian Univ.,Xi’an 710071,Shaanxi,China
  • Received:2006-01-19 Online:2006-11-25 Published:2006-11-25
  • Contact: 奚振斐(1957-),男,博士,高级工程师,主要从事金融理财的研究 E-mail:xzf5507@sina.com
  • About author:奚振斐(1957-),男,博士,高级工程师,主要从事金融理财的研究
  • Supported by:

    中国城市金融学会资助项目(05003)

摘要: 为分析和预测未来外汇市场行情的变化趋势、为外汇理财提供决策依据,通过小波变换和多分辨分析对外汇市场进行研究,发现外汇价格的变化服从自相似性,具有分形的特征.文中提出了外汇序列分形插值模型,并构造了预测外汇市场趋势的插值迭代算法.通过实际计算分析,发现利用分形插值方法逼近外汇曲线,要比传统插值方法优越.该方法可以预测未来外汇行情变化趋势.

关键词: 分形, 小波变换, 外汇市场, 插值模型, 迭代算法

Abstract:

in order to analyze and evaluate the tendency of foreign exchange market and to provide decision basis the foreign exchange control,two methods,namely the wavelet transform and the multi.differentiation analysis.are adopted tO reveal a self-similarity and a fractal characteristic of the variation of foreign exchange prices. Then,a fractal interpolation model is put forward for the foreign exchange sequencing ,and an interpolated iterative algo-rithm is presented to predict the tendency of the foreign exchange market.The analysis of practical cases shows that the proposed fractal interpolation method is better than the traditional interpolation methods in the approaching to the foreign exchange curve.it makes possible the prediction of future foreign exchange market

Key words: fractal, wavelet transform , foreign exchange market, interpolation model, iterative algorithm