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菜农 · 2023年07月28日

B选项

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.

您好老师,想请问一下,我已经计算出这两个return

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%.


为什么不能选B呢?确实B的预期回报少于大盘的,谢谢

1 个答案

Kiko_品职助教 · 2023年07月28日

嗨,从没放弃的小努力你好:


我们判断long/short不是拿portfolio的预测收益与market portfolio比,而是与它本身的合理收益率比。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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