A New Method of Financial Risk Management Based on Multifractal

Shuzhang Ma, Aiping Jiang
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Abstract

The key point of financial risk management is whether the fluctuation characteristics of financial asset's price can be grasped and the turning point of market be forecasted or not. In this paper, the high-frequency Hang Seng index (HSI) in Hong Kong stock market was analyzed by multifractal. The correlation of the parameters of the multifractal spectra with the variation of stock index was studied statistically. We find that closing index fluctuations is related to a main parameter of multifractal spectrum of daily high frequency (per 5min) closing index of HSI Deltaf. A forecasting algorithm of stock index turning point based on Deltaf parameters of multifractal spectrum of the previous 3 day is proposed. According to the results of test, this algorithm's accuracy can reach up to 90.5%.
基于多重分形的财务风险管理新方法
能否把握金融资产价格的波动特征,预测市场拐点,是金融风险管理的关键。本文采用多重分形方法对香港股市高频指数恒生指数进行了分析。对多重分形谱参数与股指变化的相关性进行了统计研究。我们发现收盘指数波动与恒指三角洲指数日高频(每5min)收盘指数多重分形谱的一个主要参数有关。提出了一种基于前3天多重分形谱Deltaf参数的股指拐点预测算法。测试结果表明,该算法的准确率可达90.5%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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