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Question: Schweser Exam 3 Morning Seesion 114

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发表于 2008-11-30 13:21:00 | 只看该作者

Question: Schweser Exam 3 Morning Seesion 114

请问这题的官方答案是否错了?谢谢。

114. An analyst determines that a portfolio with a 35% weight in Investment A, and a 65% weight in Investment B will have a standard deviation of returns equal to zero.

Investment a has an expected return of 8%.
Investment B has a standard deviation of returns of 7.1% and a covariance with the market of 0.0029.
The risk-free rate is 5% and the market risk premium is 7%.

If no arbitrage opportunities are available, the expected rate of return on the combined portfolio is closest to:

A: 5.0%
B: 6.0%
C: 7.0%
D: 8.0%


答案是A,但是我的解是D。我认为既然整个portfolio“standard deviation of returns equal to zero”,那么就是说Investment A和B的Return是一样的,都是8%,那么就选D了。

而且,把答案带回到题目中,也出现矛盾:

按照Investment A和B的比例,得出以下:
35% × 8% + 65% × Rb = 5%
=> Return on B is 3.3846%
既然 risk-free rate is 5% and the market risk premium is 7%,两个数字都比 3.3846%大,代入CAPM公式,就说明B的Beta是负数。
B的Beta还有一种求法,就是covariance with the market of 0.0029除以market variance, market variance必须是正数,这样B的Beta就不可能满足答案D的5%Portfolio Return。
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