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梦梦 · 2024年10月19日

关于两个有效前沿的最小方差点

NO.PZ2023091901000028

问题如下:

Two risk analysts are discussing the efficient frontier following a presentation on the different measures of financial risk. According to the CAPM, which of the following statements is correct with respect to the efficient frontier?

选项:

A.

The capital market line always has a positive slope and its steepness depends on the market risk premium and the volatility of the market portfolio.

B.

The capital market line is the straight line connecting the risk-free asset with the zero beta minimum variance portfolio

C.

Investors with the lowest risk aversion will typically hold the portfolio of risky assets that has the lowest standard deviation on the efficient frontier.

D.

The efficient frontier allows different individuals to have different portfolios of risky assets based upon their individual forecasts for asset returns

解释:

Explanation: The capital market line connects the risk-free asset with the market portfolio, which is the efficient portfolio at which the capital market line is tangent to the efficient frontier. The equation of the capital market line is as follows:


where the subscript e denotes an efficient portfolio. Since the shape of the efficient frontier is dictated by the market risk premium, RM-RF, and the volatility of the market, the slope of the capital market line will also be dependent on these two factors.

资本市场线连接无风险资产和市场投资组合,这是资本市场线与有效边界相切的有效投资组合。
资本市场线的方程为:

其中下标e表示有效投资组合。
由于有效边界的形状是由市场风险溢价、RM-RF和市场波动性决定的,所以资本市场线的斜率也将取决于这两个因素。

C选项有一点不明白,如果是CML,风险最厌恶,也就是下面图的红色点,不也是最小方差的点吗?



2 个答案
已采纳答案

李坏_品职助教 · 2024年10月27日

嗨,爱思考的PZer你好:


(已解决)

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李坏_品职助教 · 2024年10月19日

嗨,努力学习的PZer你好:


在引入了无风险借贷(就是引入risk free rate)之后,新的有效边界应该是CML这条线。无论投资者是怎样的风险偏好,都会在这条线上选择投资组合。


C:风险偏好最低的投资者会直接买无风险资产,而不是投资有效前沿上波动率最低的风险资产。


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加油吧,让我们一起遇见更好的自己!

梦梦 · 2024年10月27日

好的,谢谢