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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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