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丁紫彤 · 2024年05月25日

请解释一下C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.

对系统性风险的补偿就是CAPM计算出来的预期收益率,那为什么C选项是expected return无法补偿系统性风险,而不是estimated return呢

1 个答案

Kiko_品职助教 · 2024年05月27日

嗨,爱思考的PZer你好:


是的,我们一般形容CAPM计算出来的收益率是合理预期收益率,一般都说是expected return;而根据经济情况预判出来的收益率,为了跟CAPM的收益率区分,通常说成是estimated return,但其实他也是expected,只要没有实际发生,对未来的预测都可以说成是广义的expected。

这种时候我们就需要根据题目具体说的内容来判断。这道题ABC选项都是expected,所以判断肯定不是考察expected和estimate的区分,根据选项内容我们也能判断出来,他这里说的expected就是指根据经济情况预判出来的预期收益率,也就是对标在区分CAPM收益率的时候我们说的那个estimated return。

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