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基于去噪和分形的加密货币投资组合模型优化研究
引用本文:曹广喜,张星宇.基于去噪和分形的加密货币投资组合模型优化研究[J].南京信息工程大学学报,2021,13(3):369-376.
作者姓名:曹广喜  张星宇
作者单位:南京信息工程大学 管理工程学院, 南京, 210044;南京信息工程大学 滨江学院, 无锡, 214105;南京信息工程大学 气象灾害预报预警与评估协同创新中心, 南京, 210044,南京信息工程大学 管理工程学院, 南京, 210044
基金项目:国家自然科学基金(71371100,71701104)
摘    要:为提高投资效益,本文针对传统投资组合模型的缺陷,结合经验模态分解(EMD)去噪法和多重分形消除趋势交叉相关分析法(MF-DCCA),提出经验模态分解去噪下的多重分形投资组合模型(简称EMD-Mean-MF-DCCA).将新模型应用于极具投机性的加密货币投资组合,结合滚动窗口技术进行样本外检验和分析,实证结果显示:无论加密货币价格处于上升还是下降趋势,EMD-Mean-MF-DCCA相对于其他传统投资组合模型及未去噪的分形投资组合模型,均在盈利能力和夏普比率方面具有明显优化效果,且当加密货币价格大幅下跌时,基于新模型的组合投资策略也具有较好的抵抗风险能力.

关 键 词:加密货币  投资组合  分形  经验模态分解法(EMD)  去噪  EMD-Mean-MF-DCCA模型
收稿时间:2021/3/16 0:00:00

Model optimization of cryptocurrency portfolio based on EMD denoising and DCCA methods
CAO Guangxi and ZHANG Xingyu.Model optimization of cryptocurrency portfolio based on EMD denoising and DCCA methods[J].Journal of Nanjing University of Information Science & Technology,2021,13(3):369-376.
Authors:CAO Guangxi and ZHANG Xingyu
Affiliation:School of Management Science and Engineering, Nanjing University of Information Science & Technology, Nanjing 210044;Binjiang College, Nanjing University of Information Science & Technology, Wuxi 214105;Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science & Technology, Nanjing 210044 and School of Management Science and Engineering, Nanjing University of Information Science & Technology, Nanjing 210044
Abstract:The Empirical Mode Decomposition (EMD) denoising and Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) have been combined to address the shortcomings of traditional portfolio models,thus a multiple fractal portfolio model under EMD denoising and MF-DCCA is proposed in this paper.The new model,abbreviated as EMD-Mean-MF-DCCA,is applied to a highly speculative cryptocurrency portfolio,which is then verified by out-of-sample test and analysis with rolling window technique.The results show that whether the cryptocurrency price is on upward or downward trend,the proposed EMD-Mean-MF-DCCA is significantly optimized in terms of profitability and Sharpe ratio compared with traditional portfolio models and non-denoised fractal portfolio models.Moreover,the portfolio investment scheme under the new model has better risk resistance capability when the price of cryptocurrency falls sharply.
Keywords:cryptocurrency  portfolio  fractal  empirical mode decomposition (EMD)  denoising  EMD-Mean-MF-DCCA model
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