
Explanation:
The expected return of the new fund using the Capital Asset Pricing Model (CAPM) can be calculated with the formula:
Where:
Given:
Plugging the values into the CAPM formula:
Therefore, the expected return of the fund is 12.2%, which corresponds to option A.
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A financial consultant is evaluating the potential expected returns of a new investment vehicle designed to replicate the market trends of the China Shanghai Composite Stock Market Index (SHANGHAI) but with twice the index's volatility. For context, the SHANGHAI has an estimated annual return of 7.6% and an annual volatility of 14.0%. Additionally, the annual risk-free rate is currently 3.0%. Given that the correlation between the investment's returns and the SHANGHAI index's performance is 1.0, calculate the expected return of the investment using the Capital Asset Pricing Model (CAPM).
A
12.2%
B
19.0%
C
22.1%
D
24.6%