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emma爱地球 · 2024年07月21日

CAL

NO.PZ2023021601000011

问题如下:

When constructing the optimal portfolios for investors with different risk preferences, the investor with the higher risk aversion is most likely to have a:(2016 mock)

选项:

A.steeper capital allocation line. B.flatter indifference curve. C.lower expected return.

解释:

The optimal portfolio is identified as the point at which the capital allocation line (CAL) is tangential to the investor's indifference curve. As investor risk aversion increases, the optimal portfolio slides down the CAL to a point of lower expected risk and lower expected return.

老师,没搞懂这一题考的是啥。


结论是不是:爽度曲线,越高的,风险偏好越高; 同一条CAL线,越靠近Rf点的,风险偏好越低?

1 个答案

Kiko_品职助教 · 2024年07月22日

嗨,从没放弃的小努力你好:


这道题考查CAL这条线的性质。同一条CAL线上,风险厌恶程度高的投资者,他会投资更多的权重给Rf,所以这个点肯定是会向Rf更靠近的,所以预期收益是更低的。C选项正确。

关于无差异曲线。越厌恶风险,无差异曲线越陡峭。因为越厌恶风险,每一单位风险的增加会要求更高的收益率的增加。所以他们的无差异曲线斜率很大。所以应该是steeper的。B错误。

CAL有很多条,Rf和EF上面任何一个点的连线都是CAL,但optimal portfolio所在的线只有一条,就是连接切点的最优CAL。所以不存在越厌恶风险,CAL越陡峭的说法。A错误。

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