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ruby5ltc · 2022年06月07日

请问

NO.PZ2015121802000054

问题如下:

To evaluate the performance of an investment, an analyst has forecasted the return of an assets and market portfolio on different economic conditions and the probability.

Estimation of an asset:

Estimation of market portfolio:

Assuming the risk-free rate is 5%, the risky asset's beta is 1.2, and market portfolio is correctly priced, which investment decision should the analyst make?

选项:

A.

The analyst should buy the risky asset because its expected return is higher than its required return in equilibrium.

B.

The analyst should short the risky asset because its expected return is less than the expected return on the market portfolio.

C.

The analyst should short the risky asset because its expected return can not compensate for its systematic risk totally.

解释:

C is correct.

The estimated return of risky asset is 6%*(10%) + 10%*(45%) + 15%*(45%) = 11.85%.

The expected return of market portfolio is 3%*(10%) + 12%*(45%) + 14%*(0.45) = 12%. 

According to the CAPM, the expected return on the risky asset is 5% + 1.2*(12% - 5%) = 13.4%.

Because the analyst's forecast return on the risky asset is less than its expected return derived from CAPM, the asset is overvalued and the analyst should sell it.

expected return是指11.85%还是13.4%?

2 个答案

Kiko_品职助教 · 2022年06月10日

嗨,从没放弃的小努力你好:


我猜测你是理解这道题的意思的。但并没有把选项描述对应到位。CAPM计算出来的合理预期收益率就是我承担系统性风险应该获得的补偿,这点应该是想得到的。

C选项“The analyst should short the risky asset because its expected return can not compensate for its systematic risk totally.”后者应该指的才是CAPM算出来的预期收益率。所以前者的expected return肯定是分析师预测的收益率,更准确的说法是estimated return。

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努力的时光都是限量版,加油!

Kiko_品职助教 · 2022年06月08日

嗨,从没放弃的小努力你好:


expected return指的是13.4%

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努力的时光都是限量版,加油!

ruby5ltc · 2022年06月08日

那既然是CAPM计算出来的合理收益率,为什么C选项还正确呢?C选项的意思是capm计算出的合理收益率不能覆盖系统性风险,我觉得正确的表述应该是股票实际的收益率不能覆盖CAPM计算出来的合理收益率才对。

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