
Explanation:
To compute the modified benchmark-neutral alpha, we need to subtract the product of the benchmark alpha and the active position beta from the alpha of the active position. This neutralizes the active position's beta relative to the benchmark beta, ensuring that the active position doesn't make a bet on the market (and benchmark portfolio) returns.
Using the given information, we can calculate the modified benchmark-neutral alpha as follows:
Modified benchmark-neutral alpha = Active position alpha - (Benchmark alpha × Active position beta)
= 0.6% - (0.020% × 1.3)
= 0.6% - 0.026%
= 0.574%
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Q.2445 A portfolio manager is evaluating an active position in a stock with the following characteristics:
Active position alpha: 0.6%
Active position beta: 1.3
Benchmark alpha: 0.020%
Benchmark beta: 1.0
The manager wants to neutralize the active position with respect to the benchmark beta. After the neutralization, what is the modified benchmark-neutral alpha of the active position?
A
0.54%
B
0.57%
C
0.62%
D
0.66%
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