工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2013年
2期
159-168
,共10页
稀疏主成分析法%追踪误差%指数预测模型
稀疏主成分析法%追蹤誤差%指數預測模型
희소주성분석법%추종오차%지수예측모형
sparse principal component analysis%the tracking error%the forecasting model for stock index
本文将追踪误差定义为股票投资组合收益率与所追踪指数的基准收益率之差,分别在无交易费用和有交易费用的情况下,建立追踪误差极小化的股票指数预测模型.首先采用稀疏主成分分析法对沪深300以及香港恒生的股票进行选择,然后根据所选择的股票样本求解股票指数预测模型.数值实验表明基于稀疏主成分的股票指数追踪模型具有稀疏性、可解释性及较好的样本外追踪误差的优点.
本文將追蹤誤差定義為股票投資組閤收益率與所追蹤指數的基準收益率之差,分彆在無交易費用和有交易費用的情況下,建立追蹤誤差極小化的股票指數預測模型.首先採用稀疏主成分分析法對滬深300以及香港恆生的股票進行選擇,然後根據所選擇的股票樣本求解股票指數預測模型.數值實驗錶明基于稀疏主成分的股票指數追蹤模型具有稀疏性、可解釋性及較好的樣本外追蹤誤差的優點.
본문장추종오차정의위고표투자조합수익솔여소추종지수적기준수익솔지차,분별재무교역비용화유교역비용적정황하,건립추종오차겁소화적고표지수예측모형.수선채용희소주성분분석법대호심300이급향항항생적고표진행선택,연후근거소선택적고표양본구해고표지수예측모형.수치실험표명기우희소주성분적고표지수추종모형구유희소성、가해석성급교호적양본외추종오차적우점.
@@@@In this paper, the tracking error is defined as the absolute deviations of the return ratio of portfolio to that of the tracking-index benchmark and then the forecasting model for stock index is established by minimizing tracking-error in transaction cost and no transaction cost case respectively. Firstly, the sparse principal component analysis method (SPCA) is applied to select the stocks from HuShen 300 and Hang Seng, then we obtain a good prediction for the stock index by the model. The extensive experiments demonstrate that the SPCA-based forecasting model for stock index has sparsity, good interpretability and better projection of tracking error.