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Frances · 2024年06月03日

B怎么不对了

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.

C的意思明白,但是B就是我们为什么选择它的最真实原因啊

1 个答案

Kiko_品职助教 · 2024年06月03日

嗨,努力学习的PZer你好:


B选项有两个错误:一是risky asset expected return=13.4%, market portfolio expected return=12%,是more than;二是这两个值比大小不能决定是short/long risky asset。我们判断long/short不是拿portfolio的预测收益与market portfolio比,而是与它自身的合理收益率比。应该用11.85%和13.4%对比。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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