
Explanation:
Jensen's alpha is calculated using the following formula based on the Capital Asset Pricing Model (CAPM):
Where:
Substituting the given values:
$2.11% = 12.5% - [3% + 1.55 \times (R_m - 3%)]2.11\% = 9.5\% - 1.55 \times (R_m - 3\%)$
$1.55 \times (R_m - 3%) = 7.39%R_m - 3% = \frac{7.39%}{1.55} = 4.7677%R_m = 4.7677% + 3% = 7.7677% \approx 7.77%$
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Q.13 You have been given the following data for a managed portfolio:
| Beta | 1.55 |
|---|---|
| Alpha | 2.11% |
| Average return | 12.5% |
| Risk-free rate | 3% |
Basing your calculations on Jensen's measure of portfolio performance, the return on the market portfolio is closest to:
A
1.77%
B
7.77%
C
8.36%
D
5.36%
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