Quantitative Models and Construction Methods 1. Model Name: Dividend Impact Prediction Model - **Model Construction Idea**: The model aims to predict the impact of dividends on stock index futures pricing by estimating the dividend points for different contracts and calculating their influence on futures prices[7][10][19] - **Model Construction Process**: 1. **Estimate Component Stocks' Net Profit**: Use available financial data in the following priority: annual reports > quick reports > earnings warnings > trailing twelve-month (TTM) net profit from Q3 reports > analysts' earnings forecasts[21][22] 2. **Calculate Pre-Tax Dividend Total**: Based on the estimated net profit, calculate the total dividend amount using historical dividend payout ratios or directly use announced dividend plans[23][26] 3. **Assess Dividend Impact on Index**: - Dividend Yield = Post-Tax Dividend Total / Latest Market Value - Dividend Points Impact = Stock Weight × Dividend Yield - Adjust stock weights using the formula: $$\mathrm{w_{it}={\frac{w_{i0}\times\mathrm{\scriptsize{\boldmath~(~1+R~)}~}}{\sum_{1}^{n}w_{i0}\times\mathrm{\scriptsize{\boldmath~(~1+R~)}~}}}}$$ where \( w_{i0} \) is the initial weight, and \( R \) is the stock's return over the period[24] 4. **Predict Contract-Specific Impact**: Aggregate dividend impacts for all component stocks within the contract's maturity period, considering historical ex-dividend dates and adjustments for shareholder meeting schedules[25][27][28] 5. **Theoretical Pricing Formula**: - For discrete dividends: $$\mathbf{D}=\sum_{\mathrm{i=1}}^{\mathrm{m}}\mathbf{D}_{\mathrm{i}}\,/(1+\phi)$$ $$F_t = (S_t - D)(1 + r)$$ - For continuous dividends: $$F_t = S_t e^{(r-d)(T-t)}$$ where \( F_t \) is the futures price, \( S_t \) is the spot price, \( D \) is the dividend value, \( r \) is the risk-free rate, and \( d \) is the annualized dividend yield[30][31] - **Model Evaluation**: The model provides a systematic and logical framework for estimating dividend impacts, leveraging historical data and reasonable assumptions to enhance prediction accuracy[19][22][26] --- Model Backtesting Results 1. Dividend Impact Prediction Model - **Dividend Points for June Contracts**: - SSE 50: 18.48 - CSI 300: 23.58 - CSI 500: 44.47 - CSI 1000: 36.22[10][13] - **Annualized Hedging Costs (Excluding Dividends)**: - SSE 50: 1.14% - CSI 300: 5.23% - CSI 500: 12.69% - CSI 1000: 16.86%[7][10][13] - **Remaining Impact on June Contracts**: - SSE 50: 0.68% - CSI 300: 0.61% - CSI 500: 0.78% - CSI 1000: 0.60%[13]

金融工程 | 动态跟踪 分红对期指的影响 20250509 研究结论 | | 收盘价 | 分红点数 | 实际价差 | 含分红价差 | | --- | --- | --- | --- | --- | | IH2505 | 2683.60 | 0.27 | -0.41 | -0.14 | | IH2506 | 2666.20 | 17.96 | -17.81 | 0.16 | | IH2509 | 2632.00 | 59.91 | -52.01 | 7.91 | | IH2512 | 2627.00 | 59.91 | -57.01 | 2.91 | 沪深 300 股指期货: | | 收盘价 | 分红点数 | 实际价差 | 含分红价差 | | --- | --- | --- | --- | --- | | IF2505 | 3840.20 | 0.74 | -5.96 | -5.21 | | IF2506 | 3808.60 | 24.07 | -37.56 | -13.49 | | IF2509 | 3743.60 | 69.49 | -102.56 | -33.06 | | IF2512 | 3706.80 ...