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Zunniyaki · 2023年04月20日

请问Sharpe Ratio是看连接Rf和Efficient frontier上点的斜率还是看连接原点和Efficient frontier上点的斜率?

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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.


老师您好,请问Sharpe Ratio是看连接Rf和Efficient frontier上点的斜率还是看连接原点和Efficient frontier上点的斜率(后者也就是自身斜率)?我看过助教的答案写的是:“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。”但是很明显无论是连接Rf和Efficient frontier上点的斜率还是看连接原点和Efficient frontier上点的斜率,都是Policy portfolio的斜率更高啊。




1 个答案

lynn_品职助教 · 2023年04月21日

嗨,努力学习的PZer你好:


是的,这里需要更正一下,Sharpe Ratio是看连接Rf和Efficient frontier上点的斜率,


不过的确斜率不一样,


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。


正如同学所说,Policy portfolio的斜率更高。


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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