Market capitalization (logarithmic form)
factor.formula
ln(circulating market value)
Where P<sub>t</sub> represents the closing price of the stock at time t, and S<sub>t</sub> represents the number of shares outstanding at time t. This formula calculates the natural logarithm of the market value of the shares outstanding at time t.
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The stock closing price at time t
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The number of shares in circulation at time t
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Natural logarithm function
factor.explanation
This factor is the value of the natural logarithm of the company's market capitalization. Market capitalization is an important indicator of company size. It is the product of the stock closing price and the outstanding shares. Logarithmic transformation can reduce the skewness of data distribution, making it closer to normal distribution, and thus more robust in statistical analysis. Empirical studies have shown that smaller market capitalization is usually associated with higher stock returns, a phenomenon known as the "small market capitalization effect." This factor reflects the market's risk preference and expected returns for companies of different sizes.