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皓月 · 2024年10月01日

这题虽然作对了

* 问题详情,请 查看题干

NO.PZ202206210100000404

问题如下:

The asset allocation choice in Exhibit 2 that has the highest probability of meeting the committee’s desired return criteria is allocation:

选项:

A.3 B.1 C.2

解释:

Solution

C is correct. The allocation that has the highest probability of meeting the target return of 5% annually generates the highest value for the ratio: (expected annual return – target return)/return volatility, which is Ratio 2 in Exhibit 2. Allocation 2 has the highest value for this ratio.

B is incorrect. Allocation 2 has the highest value for Ratio 2. Allocation 1 has the highest Sharpe Ratio.

A is incorrect. Allocation 2 has the highest value for this Ratio 2. Allocation 3 has the highest Treynor Measure.

就是想问问ratio 3是什么ratio

1 个答案
已采纳答案

Lucky_品职助教 · 2024年10月08日

嗨,从没放弃的小努力你好:


同学你好:


我们在AA中, 会涉及到三个ratio, 包括:夏普比率(Sharpe Ratio)、特雷诺比率(Treynor Ratio)以及SFR(Safty-First ratio),这三个ratio 计算的都是risk-adjusted expected return, 风险调整后的预期收益,核心思想是在考虑预期收益的同时,也将风险因素纳入考量,以更准确地反映投资的性价比。


Sharpe Ratio 同学应该已经很熟悉了,Safty-First ratio (SFR), 它与夏普比率在计算上唯一的区别是,分子计算超额收益时,夏普比率是用无风险收益率作为基准利率,而SFR则使用的是required return threshold,也就是投资者给出了最低的需求收益率。SFR的目的就是最小化shortfall risk。一般在计算的时候,如果题干里给了required return threshold,那我们就要用SFR,没给的话,就是用夏普比率来比较就可以。


而Treynor Ratio(特雷诺比率)的计算公式为:Treynor Ratio =(投资组合预期收益率 - 无风险利率)/ 投资组合的 β 系数。它和Sharpe Ratio 的区别在于,Treynor Ratio只衡量系统性风险,也就是分母β 系数所表达的,β 系数衡量了投资组合相对于市场整体波动的敏感性。例如,两个投资组合 A 和 B,A 的收益率为 15%,β 系数为 1.5;B 的收益率为 12%,β 系数为 1。如果无风险利率为 3%,A 的 Treynor Ratio=(15% - 3%)/1.5 = 8%,B 的 Treynor Ratio=(12% - 3%)/1 = 9%。尽管 A 的收益率更高,但 B 在考虑风险调整后的绩效更好。


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努力的时光都是限量版,加油!

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