股指分红点位监控周报市场活跃，四大主力合约均升水-20260121

• The report introduces a quantitative model for estimating dividend points in stock indices, which is crucial for accurately assessing the premium or discount in stock index futures contracts. The model considers the impact of component stock dividends on index points, which is essential for futures pricing[12][41][42] - The model calculates the dividend points of an index during the period from the current date (t) to the futures contract expiration date (T) using the formula: $\text{Dividend Points} = \sum_{n=1}^{N} \left( \frac{\text{Dividend Amount of Component Stock}}{\text{Total Market Value of Component Stock}} \times \text{Weight of Component Stock} \times \text{Index Closing Price} \right)$ Here, $N$ represents the number of component stocks, and the formula only includes stocks with ex-dividend dates between $t$ and $T$[41][42][45] - The model refines the estimation of component stock weights by transitioning from approximate monthly data to precise daily data. The weight of a stock on a given day is calculated as: $W_{n,t} = \frac{w_{n0} \times (1 + r_n)}{\sum_{i=1}^{N} w_{i0} \times (1 + r_i)}$ where $w_{n0}$ is the weight of stock $n$ on the last disclosed date, and $r_n$ is the non-adjusted return of stock $n$ from the last disclosed date to the current date[48][49] - The model estimates the dividend amount for stocks that have not disclosed their dividend plans by predicting net profit and dividend payout ratios. The dividend amount is calculated as: $\text{Dividend Amount} = \text{Net Profit} \times \text{Dividend Payout Ratio}$ Net profit is predicted using historical profit distribution patterns, while the dividend payout ratio is estimated based on historical averages[50][53][56] - The model predicts ex-dividend dates using a linear extrapolation method based on the stability of historical intervals between dividend announcement and ex-dividend dates. If historical data is unavailable or unreliable, default dates are assigned based on typical market practices[54][59] - The accuracy of the model is evaluated by comparing predicted dividend points with actual dividend points for major indices (e.g., SSE 50, CSI 300, CSI 500, CSI 1000). The model demonstrates high accuracy, with prediction errors generally within 5 points for SSE 50 and CSI 300, and within 10 points for CSI 500 and CSI 1000[60][64][67] - The model's predictions for stock index futures contracts' dividend points also show strong alignment with actual values, indicating its reliability for futures pricing[64][67][69]