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cika · 2022年11月13日

policy portfolio是Corner portfolios 么

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NO.PZ202206210100000106

问题如下:

The most appropriate conclusion that can be drawn from Exhibit 3 is that:

选项:

A.management’s risk–return objectives may not have been achieved with the TAA portfolio. B.the current portfolio is a corner portfolio. C.the Sharpe ratios for the policy portfolio and the TAA portfolio are the same.

解释:

Solution

A is correct. The Sharpe ratio is the slope of the line drawn from the risk-free rate to a particular portfolio. The two portfolios of interest are the policy portfolio and the TAA portfolio because both are indicated as being efficient. The diagram to the right indicates that the policy portfolio/risk-free combination has a higher slope than the TAA/risk-free combination. Even though the TAA portfolio has a higher return than the policy portfolio, the additional return requires too much additional risk. In addition, the TAA portfolio may exceed management’s risk tolerance.

B is incorrect. Corner portfolios are efficient portfolios and represent a portfolio where an asset weight changes from zero to positive or positive to zero. No such behavior in weights is indicated for the current portfolio allocation in Exhibit 2. It is also an inefficient portfolio.

C is incorrect. The Sharpe ratio is the slope of the line drawn from the risk-free rate to a particular portfolio. The two portfolios of interest are the policy portfolio and the TAA portfolio because both are indicated as being efficient. The diagram to the right indicates that the policy portfolio/risk-free combination has a higher slope than the TAA/risk-free combination.

policy portfolio是Corner portfolios 么

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已采纳答案

lynn_品职助教 · 2022年11月13日

嗨,爱思考的PZer你好:


efficient frontier是一条光滑的、向上的曲线,但是由于实际投资中往往有禁止卖空的限制(要求no negative weights),这里禁止卖空是有效前沿上的组合中不允许卖空,也就是下图的曲线中会有挖空的部分。因此efficient frontier上的大部分组合都无法实现,可以实现的只留下了一个一个点,这些点就被称为corner portfolio。

我们看图哈,policy portfolio确实是EF上的一个点,是符合定义的。

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