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Chartered Financial Analyst Level 1

Chartered Financial Analyst Level 1

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An analyst determines the standard deviation of returns for the market portfolio to be 15% and for a specific stock to be 25%. Given a correlation coefficient of 0.6 between the stock and the market portfolio, the stock exhibits:

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Explanation:

The systematic risk of a stock is quantified by its beta (β). The beta is calculated as:

β=ρim×σiσm\beta = \rho_{im} \times \frac{\sigma_i}{\sigma_m}β=ρim​×σm​σi​​

Where:

  • ρim\rho_{im}ρim​ is the correlation between the stock and the market (0.6).
  • σi\sigma_iσi​ is the standard deviation of the stock's returns (25%).
  • σm\sigma_mσm​ is the standard deviation of the market's returns (15%).

Substituting the values:

β=0.6×0.250.15=1\beta = 0.6 \times \frac{0.25}{0.15} = 1β=0.6×0.150.25​=1

Since the beta of the stock equals 1, it indicates that the stock has the same level of systematic risk as the market portfolio. Therefore, the correct answer is B.

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