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米妮涵 · 2023年02月22日

TAA和Policy 的sharp ratio是一样的啊

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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.

我看助教老师在回答其他同学的问题时也说了这一点,为什么不选择C呢?

2 个答案
已采纳答案

lynn_品职助教 · 2023年02月27日

嗨,爱思考的PZer你好:


所以C本身论述没错啊,他们俩的SR是一样的啊

Exhibit 3


同学看上面的图两个斜率是不同的。之前的回答首先TAA Portfolio 和Policy portfolio都是在efficient frontier上,所以斜率SR是一样的,sharp ratio一样只说明单位风险的收益一样。


虽然单位风险的收益一样,但是Policy的收益低,风险也低,而TAA收益高,风险也高,那么从risk tolerance的角度来看,TAA可能不符合组合管理的要求,因此A选项正确,C选项错误。


绿色的部分需要更正一下,在EF上只说明是有效的,只有EF上的optimal点与Risk free组成的直线的“新”EF才是斜率一样。


首先TAA Portfolio 和Policy portfolio都是在efficient frontier上,所以是一样有效的。


虽然都有效,但是Policy的收益低,风险也低,而TAA收益高,风险也高,那么从risk tolerance的角度来看,TAA可能不符合组合管理的要求,因此A选项正确,C选项错误。


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lynn_品职助教 · 2023年02月23日

嗨,从没放弃的小努力你好:


是的,在其他回答中提到过。这道题其实是“看图说话”哈,首先TAA Portfolio 和Policy portfolio都是在efficient frontier上,所以斜率SR是一样的,sharp ratio一样只说明单位风险的收益一样。


虽然单位风险的收益一样,但是Policy的收益低,风险也低,而TAA收益高,风险也高,那么从risk tolerance的角度来看,TAA可能不符合组合管理的要求,因此A选项正确,C选项错误。

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