股指分红点位监控周报：H及IF合约升水，IC及IM合约小幅贴水-20260114

• The report introduces the dividend point estimation method for stock indices, emphasizing its importance in accurately calculating the premium or discount of stock index futures contracts. The method involves estimating dividend points based on constituent stock dividends, total market capitalization, stock weights, and index closing prices[48][49][51] - The calculation formula for dividend points is provided as: $\text{Dividend Points} = \sum_{n=1}^{N} \frac{\text{Dividend Amount of Constituent Stock}}{\text{Total Market Capitalization of Constituent Stock}} \times \text{Stock Weight} \times \text{Index Closing Price}$ This formula ensures that only stocks with ex-dividend dates between the current date and the futures contract expiration date are considered[48] - The report details the process of estimating constituent stock weights, transitioning from approximate monthly data to precise daily weights using data disclosed by the China Securities Index Company. The formula for weight estimation is: $W_{n,t} = \frac{w_{n0} \times (1 + r_{n})}{\sum_{i=1}^{N} w_{i0} \times (1 + r_{i})}$ Here, $w_{n0}$ represents the weight of stock $n$ at the last disclosed date, and $r_{n}$ is the non-reinvested return of stock $n$ during the period[52][53] - The report explains the dynamic prediction method for estimating net profits of constituent stocks. For companies with stable profit distributions, historical patterns are used, while for others, the previous year's profit is adopted. Dividends are calculated as: $\text{Dividend Amount} = \text{Net Profit} \times \text{Dividend Payout Ratio}$ This approach ensures accurate dividend estimation for stocks without disclosed data[54][56] - Historical dividend payout ratios are used to predict current ratios, with adjustments for companies that have not paid dividends in recent years or have payout ratios exceeding 100%. The prediction process includes linear extrapolation based on historical intervals between dividend announcement and ex-dividend dates[57][60][63] - The report evaluates the accuracy of the dividend point estimation model, showing minimal errors for indices like the SSE 50 and CSI 300 (around 5 points), while slightly larger errors (around 10 points) are observed for CSI 500 and CSI 1000 indices. The model demonstrates strong predictive performance for stock index futures contracts[64][68] - Backtesting results for stock index futures contracts reveal varying annualized premium or discount rates across indices. For example, IH contracts show a premium of 1.27%, IF contracts a premium of 0.79%, IC contracts a discount of 0.94%, and IM contracts a discount of 4.48%[4][13][25]