The accuracy of predicting the Producer Price Index (PPI) plays an indispensable role in government economic work. However, it is difficult to forecast the PPI. In our research, we first propose an unprecedented hybrid model based on fuzzy information granulation that integrates the GA-SVR and ARIMA (Autoregressive Integrated Moving Average Model) models. The fuzzy-information-granulation-based GA-SVR-ARIMA hybrid model is intended to deal with the problem of imprecision in PPI estimation. The proposed model adopts the fuzzy information-granulation algorithm to pre-classification-process monthly training samples of the PPI, and produced three different sequences of fuzzy information granules, whose Support Vector Regression (SVR) machine forecast models were separately established for their Genetic Algorithm (GA) optimization parameters. Finally, the residual errors of the GA-SVR model were rectified through ARIMA modeling, and the PPI estimate was reached. Research shows that the PPI value predicted by this hybrid model is more accurate than that predicted by other models, including ARIMA, GRNN, and GA-SVR, following several comparative experiments. Research also indicates the precision and validation of the PPI prediction of the hybrid model and demonstrates that the model has consistent ability to leverage the forecasting advantage of GA-SVR in non-linear space and of ARIMA in linear space.

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The Belt and Road Initiative (BRI) is an important strategy for China. This study examines the effect of political involvement on firms' outward foreign direct investment (OFDI) in belt‐road countries after the BRI. Using merged Chinese nonfinancial listed firm data, the fDi Markets database, and the Thomson One database (formerly known as SDC Platinum) for the period 2008–2018, we find that political involvement has positive effect on firms' OFDI in belt‐road countries after the BRI. Furthermore, we find that the positive effect is heterogeneous across state‐owned enterprises (SOEs) and non‐SOEs. Political involvement has a positive effect on M&A for SOEs and Greenfield investment for non‐SOEs in belt‐road countries after the BRI. Our findings suggest that political involvement promotes firms' OFDI in belt‐road countries after the BRI and is helpful to the macro‐policy implementation.