基于SMA-Realized AHAR GARCH CICSI模型的波动率预测研究

Volatility Forecasting Based on SMA-Realized AHAR GARCH CICSI Model

  • 摘要: 股票波动率的科学预测对于投资者和监管部门进行风险度量和管理具有重要的理论和现实意义.本文综合考虑投资者情绪,收益波动的时变性、非对称性、尖峰厚尾性与长记忆性,构建偏t分布下的SMA-Realized AHAR GARCH CICSI模型进行波动率预测和风险度量.以沪深300指数的高频数据为研究对象,利用极大似然方法进行样本内拟合,运用VaR后验测试、MCS检验、样本外R2检验以及经济价值检验综合分析模型的波动率预测能力.实证结果显示:本文提出的SMA-RealizedAHAR GARCH CICSI模型具有更好的波动率拟合效果和预测精度.

     

    Abstract: A scientific prediction of stock volatility is of significant theoretical and practical importance for risk measurement and management by investors and regulatory authorities. Based on investor sentiment and the characteristics of time-varying volatility, asymmetry, fat-tailed distribution, and long memory, an SMA-Realized AHAR GARCH CICSI model under the skewed-t distribution is constructed for volatility forecasting and risk measurement. Using high-frequency data of the CSI 300 Index, we estimate the model parameters through the maximum likelihood method. VaR posterior test, MCS test, out-ofsample R2 test, and the economic value evaluation are employed to comprehensively assess the volatility forecasting performance of the model. The empirical results indicate that the proposed SMA-Realized AHAR GARCH CICSI model achieves superior volatility fitting performance and higher predictive accuracy.

     

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