Analysis and Prediction of the Shanghai Composite Index Based on Grey Fourier FEGM (1,1) Residual Modified Model

In this paper, the Grey Fourier FEGM (1,1) residual modified model is used to forecast the closing prices of Shanghai stock index with the period for ten days, fifteen days, and twenty days in the fluctuation phase. Compared to the traditional Grey model, the applicability of it is better. Through empirical analysis, the conclusion is that the Grey Fourier FEGM (1,1) residual modified model has the best prediction effect on the twenty days closing price, and the accuracy of prediction is relatively high. Therefore, the revised model is feasible in the prediction of Shanghai Stock Index closing price.