Quantitative Models and Construction Methods 1. Factor Name: Beta Factor - **Construction Idea**: The Beta factor measures the sensitivity of a stock's returns to the overall market returns, indicating its systematic risk[29] - **Construction Process**: - Calculate the covariance between the stock's returns and the market returns - Divide this covariance by the variance of the market returns - Formula: $ \beta = \frac{\text{Cov}(R_i, R_m)}{\text{Var}(R_m)} $ where $R_i$ is the return of the stock and $R_m$ is the return of the market[29] - **Evaluation**: The Beta factor is a widely used measure of risk, indicating how much a stock's price is expected to move relative to the market[29] 2. Factor Name: Liquidity Factor - **Construction Idea**: The Liquidity factor assesses the ease with which a stock can be traded without affecting its price, reflecting the market's depth and breadth[29] - **Construction Process**: - Measure the average daily trading volume - Calculate the bid-ask spread - Combine these metrics to form a composite liquidity score - Formula: $ \text{Liquidity} = \frac{\text{Average Daily Volume}}{\text{Bid-Ask Spread}} $[29] - **Evaluation**: The Liquidity factor is crucial for understanding the trading costs and potential price impact of large trades[29] 3. Factor Name: Profitability Quality Factor - **Construction Idea**: The Profitability Quality factor evaluates the financial health and earnings quality of a company, focusing on sustainable and high-quality earnings[29] - **Construction Process**: - Analyze various financial ratios such as return on equity (ROE), return on assets (ROA), and profit margins - Combine these ratios into a composite score - Formula: $ \text{Profitability Quality} = \frac{\text{ROE} + \text{ROA} + \text{Profit Margin}}{3} $[29] - **Evaluation**: This factor helps in identifying companies with strong and sustainable earnings, which are likely to perform well in the long term[29] Factor Backtesting Results 1. Beta Factor - **IR**: 0.45[29] - **Annualized Return**: 8.5%[29] - **Volatility**: 12.3%[29] 2. Liquidity Factor - **IR**: 0.38[29] - **Annualized Return**: 7.8%[29] - **Volatility**: 11.5%[29] 3. Profitability Quality Factor - **IR**: 0.52[29] - **Annualized Return**: 9.2%[29] - **Volatility**: 10.8%[29] Additional Factors and Their Performance 1. Factor Name: Skewness Factor - **Construction Idea**: The Skewness factor measures the asymmetry of the return distribution, indicating the potential for extreme positive or negative returns[33] - **Construction Process**: - Calculate the third moment of the return distribution - Normalize by the cube of the standard deviation - Formula: $ \text{Skewness} = \frac{E[(R - \mu)^3]}{\sigma^3} $ where $R$ is the return, $\mu$ is the mean return, and $\sigma$ is the standard deviation[33] - **Evaluation**: This factor is useful for understanding the tail risks and potential for extreme outcomes in the return distribution[33] 2. Factor Name: Position Change Factor - **Construction Idea**: The Position Change factor tracks changes in the holdings of large institutional investors, indicating their sentiment and market positioning[33] - **Construction Process**: - Monitor the quarterly filings of institutional investors - Calculate the net change in positions for each stock - Formula: $ \text{Position Change} = \frac{\text{Current Quarter Holdings} - \text{Previous Quarter Holdings}}{\text{Previous Quarter Holdings}} $[33] - **Evaluation**: This factor provides insights into the buying and selling activities of major market players, which can influence stock prices[33] Factor Backtesting Results 1. Skewness Factor - **IR**: 0.42[33] - **Annualized Return**: 8.1%[33] - **Volatility**: 11.9%[33] 2. Position Change Factor - **IR**: 0.47[33] - **Annualized Return**: 8.7%[33] - **Volatility**: 11.2%[33]