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Answer: There is a positive correlation between portfolio return and the size factor, which indicates that the portfolio moves together with large-cap stocks.
## Explanation In the Fama-French three-factor model: - **SMB (Small Minus Big)**: Represents the size factor - positive SMB coefficient indicates exposure to small-cap stocks - **HML (High Minus Low)**: Represents the value factor - positive HML coefficient indicates exposure to value stocks From the regression results: - **SMB coefficient = 0.18** (positive) → Positive correlation with size factor - **HML coefficient = -0.70** (negative) → Negative correlation with value factor **Analysis of Option A:** - Positive SMB coefficient (0.18) means positive correlation with size factor - However, SMB = Small Minus Big, so positive SMB coefficient actually indicates the portfolio behaves like **small-cap** stocks, not large-cap stocks - Therefore, Option A is **incorrect** because it states the portfolio moves with large-cap stocks **Analysis of Option B:** - HML coefficient is negative (-0.70), so there is **negative** correlation with value factor, not positive - Therefore, Option B is **incorrect** **Analysis of Option C:** - SMB coefficient is positive (0.18), so there is **positive** correlation with size factor, not negative - Therefore, Option C is **incorrect** **Analysis of Option D:** - HML coefficient is negative (-0.70) → Negative correlation with value factor - Negative HML coefficient means the portfolio behaves like **growth** stocks (opposite of value stocks) - Therefore, Option D is **correct** **Correct Answer: D** The portfolio has: - Positive exposure to market (0.52) - Positive exposure to small-cap stocks (SMB = 0.18) - Negative exposure to value stocks (HML = -0.70), meaning it behaves like growth stocks
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Q-58. An analyst uses the Fama-French three-factor model. The analyst regresses thirty years of weekly portfolio returns against the three factors of the model. The analyst obtains the following regression results:
| Alpha | 0.10 |
|---|---|
| Market coefficient | 0.52 |
| SMB coefficient | 0.18 |
| HML coefficient | -0.70 |
Assuming all estimated coefficients are statistically significant, which of the following is correct?
A
There is a positive correlation between portfolio return and the size factor, which indicates that the portfolio moves together with large-cap stocks.
B
There is a positive correlation between portfolio return and the value factor, which indicates that the portfolio moves together with growth stocks.
C
There is a negative correlation between portfolio return and the size factor, which indicates that the portfolio moves together with large-cap stocks.
D
There is a negative correlation between portfolio return and the value factor, which indicates that the portfolio moves together with growth stocks.