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奕冉 · 2021年12月23日

问一道题:NO.PZ2018053101000042 [ CFA I ]

问题如下:

The Sharpe ratio is a less-than-idealperformance measure for alternative investments because:

选项:

A.it uses a semi-deviation measure ofvolatility.

B.returns of alternative assets are notnormally distributed.

C.alternativeassets exhibit low correlation with traditional asset classes

解释:

Bis correct. The Sharpe ratio assumes normally distributed returns. However,alternative assets tend to have non-normal return distributions withsignificant skewness (fat tails in one direction or the other) and kurtosis(sharper peak than a normal distribution has, with fatter tails). Therefore,the Sharpe ratio may not be a good risk-adjusted performance measure to rely onfor alternative investments.

Ais incorrect because the Sharpe ratio does not use a semi-deviation measure ofvolatility; it uses standard deviation. The Sortino ratio uses a semi-deviationmeasure of volatility. Further, the use of semi-deviation instead of standarddeviation actually makes the Sortino ratio a more attractive measure of alternativeasset performance than the Sharpe ratio.

C is incorrectbecause correlation does not enter into the calculation of the Sharpe ratio.However, it is true that alternative assets can have low correlations withother asset classes. In contrast to the Sharpe ratio, the Treynor ratioincorporates the beta of the alternative asset relative to a benchmark, whichis conceptually similar to correlation.

老师,这道题不是很理解。麻烦解释一下

1 个答案

lynn_品职助教 · 2021年12月24日

嗨,从没放弃的小努力你好:


题目是问,为什么夏普比率不是一个很好的用以衡量另类投资的指标?考点就是夏普比率的适用范围和另类投资的特点。

选项A说,因为夏普比率用半方差衡量风险。—— 这个是不对的,夏普比率是衡量在每承担1个单位风险的情况下,所获得超越无风险收益率的超额回报是多少。夏普比率使用的是标准方差,而 Sortino 比率使用的才是一半的标准差。

选项B说,因为另类投资的收益不是正态分布的。—— 这个是正确的。夏普比率假设收益呈正态分布,然而,另类投资的回报率往往具有非正态分布的特点,并且有显著的偏度和峰度。因此,用夏普比率来衡量另类投资,并不是一个很好的指标。

选项C说,因为另类投资与传统投资的相关性低。—— 这句话是对的,但不是夏普比率不适用另类投资的原因,夏普比率的计算并没有考虑相关性。

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努力的时光都是限量版,加油!

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