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 and their influence on futures contracts[6][10][18] - **Model Construction Process**: 1. **Estimate Component Stocks' Net Profit**: Use annual reports, quick reports, earnings warnings, or analysts' profit forecasts to estimate net profits[21][22] 2. **Calculate Pre-Tax Dividend Total**: Based on the assumption that the dividend payout ratio remains unchanged, calculate the total dividend amount as: $$ \text{Estimated Dividend Total} = \text{Estimated Net Profit} \times \text{Dividend Payout Ratio} $$ If no dividends were distributed in the previous year, assume no dividends this year[26] 3. **Calculate Dividend Impact on Index**: - Dividend Yield: $$ \text{Dividend Yield} = \frac{\text{Tax-Adjusted Dividend Total}}{\text{Latest Market Value}} $$ - Dividend Points: $$ \text{Dividend Points Impact} = \text{Stock Weight} \times \text{Dividend Yield} $$ - Adjust stock weights using the formula: $$ w_{it} = \frac{w_{i0} \times (1 + R_1)}{\sum_{1}^{n} w_{i0} \times (1 + R_1)} $$ where \( w_{i0} \) is the initial weight, and \( R_1 \) is the stock's return[23] 4. **Predict Dividend Impact on Futures Contracts**: Aggregate all dividends before the contract's delivery date to calculate the total impact on futures contracts[28] - **Model Evaluation**: The model provides a systematic and logical approach to estimate dividend impacts, but its accuracy depends on the reliability of input assumptions and historical data[18][26] --- Model Backtesting Results 1. Dividend Impact Prediction Model - **Dividend Points for July Contracts**: - SSE 50: 40.84 - CSI 300: 38.26 - CSI 500: 19.23 - CSI 1000: 17.88[6][10] - **Annualized Hedging Costs (Excluding Dividends)**: - SSE 50: -1.91% - CSI 300: 1.35% - CSI 500: 7.37% - CSI 1000: 10.19%[6][10] - **Remaining Dividend Impact on July Contracts**: - SSE 50: 1.53% - CSI 300: 0.99% - CSI 500: 0.34% - CSI 1000: 0.30%[14] --- Quantitative Factors and Construction Methods 1. Factor Name: Theoretical Pricing Model for Stock Index Futures - **Factor Construction Idea**: This factor calculates the theoretical price of stock index futures based on the no-arbitrage principle, considering dividends and risk-free rates[30][31] - **Factor Construction Process**: 1. **Discrete Dividend Distribution**: $$ D = \sum_{i=1}^{m} \frac{D_i}{(1 + r_i)} $$ where \( D_i \) is the dividend amount at time \( t_i \), and \( r_i \) is the risk-free rate between \( t_i \) and \( t \)[30] The theoretical futures price is: $$ F_t = (S_t - D)(1 + r) $$ 2. **Continuous Dividend Distribution**: $$ F_t = S_t \cdot e^{(r-d)(T-t)} $$ where \( d \) is the annualized dividend yield, and \( r \) is the annualized risk-free rate[31] - **Factor Evaluation**: The model is robust under the no-arbitrage assumption but may deviate in real markets due to transaction costs and market frictions[30][31] --- Factor Backtesting Results 1. Theoretical Pricing Model for Stock Index Futures - **Annualized Hedging Costs (Excluding Dividends)**: - SSE 50: -1.91% - CSI 300: 1.35% - CSI 500: 7.37% - CSI 1000: 10.19%[6][10] - **Remaining Dividend Impact on July Contracts**: - SSE 50: 1.53% - CSI 300: 0.99% - CSI 500: 0.34% - CSI 1000: 0.30%[14]

金融工程 | 动态跟踪 沪深 300 股指期货: | | 收盘价 | 分红点数 | 实际价差 | 含分红价差 | | --- | --- | --- | --- | --- | | IF2506 | 3855.40 | 16.30 | -18.58 | -2.28 | | IF2507 | 3818.00 | 51.04 | -55.98 | -4.94 | | IF2509 | 3783.40 | 61.62 | -90.58 | -28.96 | | IF2512 | 3746.00 | 61.62 | -127.98 | -66.36 | 中证 500 股指期货： | | 收盘价 | 分红点数 | 实际价差 | 含分红价差 | | --- | --- | --- | --- | --- | | IC2506 | 5725.40 | 18.75 | -36.68 | -17.93 | | IC2507 | 5655.00 | 42.09 | -107.08 | -64.99 | | IC2509 | 5535.20 | 52.28 | -226.88 | -174.59 | | IC2512 | 5407 ...

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]