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Lin1f · 2025年06月11日

Sharepe ratio为什么不能作为评判标准?

NO.PZ2022122801000004

问题如下:

Fox is in the process of hiring an asset allocation analyst and has just completed interviewing two candidates, Ambrose Kelly and Catherine Trainor, for the position. Fox reminded the candidates that in addition to high-net-worth individuals, the firm’s client base also includes various institutional investors. The candidates made the following statements:

Ÿ Trainor: A goals-based approach to asset allocation is appropriate for individual investors, but institutions need to focus either on the asset or liability side of the balance sheet, depending on the nature of their business.

Ÿ Kelly: A typical objective of some institutions is to maximize their Sharpe ratio for an acceptable level of volatility, and they rely on the law of large numbers to assist them in modeling their liabilities. Other institutions behave much like individuals by segmenting general account assets into sub-portfolios associated with specific lines of business with their individual return objectives.

The most appropriate statement in regards to approaches to asset allocation by institutions is made by:

选项:

A.

Kelly, regarding their goals-based allocations.

B.

Trainor.

C.

Kelly, regarding the Sharpe ratio and modeling of liabilities.

解释:

分析Trainor的陈述:

Trainor表示,基于目标的资产配置方法适合个人投资者,而机构投资者得依据自身业务性质,侧重于资产负债表的资产方或者负债方。

这种观点有两个地方不合适。第一个是,机构投资者资产配置有AO和ALM两种方法,AO方法只看资产端,ALM要专注于资产和负债两端,两端要匹配,所以正确的表述应该是:focus either on the asset or the relation of asset and liability of the balance sheet。第二个是,观点过于片面,机构资产配置也可以采用多种灵活方式,包括基于目标的配置方式。

分析Kelly陈述的第一部分:

Kelly称,一些机构的典型目标是在可接受的波动水平下使夏普比率最大化,并且它们依靠大数定律来辅助进行负债建模。

这个观点是错误的。大数定律通常用于描述大样本数量下的随机现象,而不是用于建模负债。建模负债通常涉及使用财务模型和风险管理方法,而不是依赖于大数定律。并且我们也不太用最大化夏普比率,MVO中也是最大化utility,这里也不是最佳选项。

分析Kelly陈述的第二部分:

Kelly还提到,其他机构的做法很像个人投资者,会把普通账户资产划分成与特定业务线相关且各有其单独收益目标的子投资组合。

这个论述是正确的。确实有一些机构会依据不同业务线或者目标来划分它们的投资组合。比如,一家银行可能会针对其住房抵押贷款业务有一个投资组合,针对企业贷款业务又有另一个投资组合,每个投资组合都有各自的收益和风险目标。或是保险公司也会将其总账资产分成与特定业务线或负债块相关的子组合,每个子组合都有自己的回报目标。这种方法可以更好地管理风险和优化回报,确保每个子组合的需求得到有针对性和高效的满足。

讲义中AO部分有提到Sharepe Ratio as key descriptor(只是有部分局限性),此外Utility function更多出现在MVO里面。

1 个答案

Lucky_品职助教 · 2025年06月12日

嗨,努力学习的PZer你好:


夏普比率仅衡量资产端单位风险的超额收益,未考虑机构负债端特征,而机构的资产配置需优先满足负债匹配及监管要求、流动性等多元目标,并且机构更追求效用最大化而非单一比率优化,故无法作为机构资产配置的核心评判标准。


Sharpe Ratio广泛用于衡量投资组合在承担单位风险时所能获得的超过无风险收益的额外收益情况,帮助投资者比较不同投资组合的绩效表现,决定资金配置方向。例如,在股票型基金、债券型基金以及混合型基金之间做选择时,可通过夏普比率判断哪种基金在同等风险下能带来更好回报。

 

Sharpe Ratio计算的依据条件:

1.       平均收益率:即所考察投资组合在特定时间段内的平均实际收益率,通常基于历史数据来计算。

2.       无风险利率:一般选取国债收益率等近似代表无风险状态下资金的收益水平,它是衡量投资组合超出无风险收益部分的基准。

3.       标准差:它反映了投资组合收益率的波动程度,也就是风险水平。标准差越大,意味着收益的不确定性越高、风险越大。

 

Safety-First Ratio特别适合那些极为关注投资中避免出现重大损失,以保障资产安全性为首要目标的投资者。比如临近退休的人群,他们更希望确保本金安全,在选择投资产品(像保守型的理财产品、低风险的债券等)时,会重点参考安全第一比率来衡量风险程度与最低可接受回报之间的关系。金融机构在设定投资策略、产品风控标准时也会运用该比率,来确定在一定置信水平下,资产组合的价值下跌幅度与预设的最低可接受水平之间的关系,以便提前做好风险应对措施,例如设定止损线等。


Utility的计算会考虑到投资者偏好。由于不同投资者对风险和收益的偏好差异很大,效用计算能够将投资者的主观偏好与投资组合的客观收益、风险特征相结合,从而帮助投资者确定最符合自己心理感受和投资目标的投资选择。

 

Utility计算的依据条件:

1.       投资组合的收益情况:和前面类似,明确投资组合能带来多少实际收益,这是影响投资者满足感(效用)的重要客观因素,可以通过历史数据统计或者预期收益估计来确定。

2.       投资组合的风险水平:通常用标准差等风险度量指标来衡量投资组合收益的波动情况,风险的高低会影响投资者的感受和决策,风险厌恶程度高的投资者对风险的增加会使效用大幅降低,而风险偏好型投资者可能对一定程度的风险增加敏感度较低。

3.       风险厌恶系λ:在效用(Utility)计算中,λ(通常称为风险厌恶系数)是一个关键参数,用于衡量投资者对风险的厌恶程度。它反映了投资者在面对风险和收益权衡时,愿意牺牲多少预期收益来减少风险。

 

 

总体而言,夏普比率侧重于从收益与整体波动角度衡量投资表现;安全第一比率着重关注避免损失,保障资产达到最低收益要求;效用计算则融入了投资者的主观偏好来综合评估投资选择对投资者的价值。

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