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13581943293 · 2021年09月01日

请问,这个两个optimal amount of active risk, 怎么知道,什么时间用那个?他们的区别是什么?谢谢。

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NO.PZ201710100100000405

问题如下:

5. If Frazee added the assumption he is considering in Fund W’s portfolio construction, it would most likely result in:

选项:

A.

a decrease in the optimal aggressiveness of the active strategy.

B.

the information ratio becoming invariant to the level of active risk.

C.

an increase in the transfer of active return forecasts into active weights.

解释:

A is correct.

The new assumption adds constraints to Fund W. The IR for a constrained portfolio generally decreases with the aggressiveness of the strategy because portfolio constraints reduce the transfer of active return forecasts into active weights. Furthermore, the optimal active risk is given by the following formula:

sigmaA=TCIRSRBσBsigma_A=TC\frac{IR}{SR_B}\sigma_B

The addition of portfolio constraints reduces the TC, thus also reducing the optimal active risk. So, having maximum over- and underweight constraints on single-country positions decreases the optimal aggressiveness of the active management strategy

考点:The full fundamental law

解析:由于constraints的引入,

A, optimal amount of active risk 的公式变为:sigmaA=TCIRSRBσBsigma_A=TC\frac{IR^\ast}{SR_B}\sigma_B,也就是增加了TC项,增加限制条件导致TC<1,因此optimal amount of active risk减小,A正确。

B,错误。没有constraints时,IR不受aggressiveness的影响;但是增加限制条件使得基金经理实现自己想法的难度增加,因此IR会减小。

C,错误,增加限制条件使得基金经理实现自己想法的难度增加,因此将预期的active return转为实际投资组合构建的程度下降,因此TC会减小。



1 个答案
已采纳答案

星星_品职助教 · 2021年09月01日

同学你好,

这两个公式只差在有没有TC上,TC指的是基金经理投资所受到的限制。

如果是unconstraint portfolio,此时TC=1,两个公式相同,或者说用上面的那一个。这种情况可以考察计算。

如果题干中说明投资有限制,此时TC<1,需要用用的是下面那个带TC的公式,这种情况大概率只考察定性分析。

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NO.PZ201710100100000405 问题如下 5. If Frazee aethe assumption he is consiring in FunW’s portfolio construction, it woulmost likely result in: A.a crease in the optimaggressiveness of the active strategy. B.the information ratio becoming invariant to the level of active risk. C.increase in the transfer of active return forecasts into active weights. A is correct.The new assumption as constraints to FunW. The IR for a constraineportfolio generally creases with the aggressiveness of the strategy because portfolio constraints rethe transfer of active return forecasts into active weights. Furthermore, the optimactive risk is given the following formula:sigmaA=TCIRSRBσBsigma_A=TC\frac{IR}{SR_B}\sigma_BsigmaA​=TCSRB​IR​σB​The aition of portfolio constraints reces the Tthus also recing the optimactive risk. So, having maximum over- anunrweight constraints on single-country positions creases the optimaggressiveness of the active management strategy考点The full funmentlaw解析由于constraints的引入, optimamount of active risk 的公式变为sigmaA=TCIR∗SRBσBsigma_A=TC\frac{IR^\ast}{SR_B}\sigma_BsigmaA​=TCSRB​IR∗​σB​,也就是增加了TC项,增加限制条件导致TC 1,因此optimamount of active risk减小,A正确。B,错误。没有constraints时,IR不受aggressiveness的影响;但是增加限制条件使得基金经理实现自己想法的难度增加,因此IR会减小。C,错误,增加限制条件使得基金经理实现自己想法的难度增加,因此将预期的active return转为实际投资组合构建的程度下降,因此TC会减小。 老师,那是不是在有限制的情况下,information ratio 还是符合IR=active return/active risk,所以其实还是相关的?而且那个时候active risk是减小的,所以IR变大?唉?那不就不对了吗?IR不是在TF小于1,那IR不是变小吗?矛盾了。

2022-06-19 22:27 1 · 回答

老师,那个optimrisk公式右边也有个IR 如果更aggressive, TC减小, IR也减小,为啥就说等式左边的sigma就变小呢? 而且更aggressive, sigma不是变大么,风险和波动更大么不是?

2020-02-27 08:36 2 · 回答

    B错在哪里? 正确的是否为the information ratio becoming variant to the level of active risk

2019-04-23 17:30 1 · 回答

    A翻译成中文的意思是,这句话没有出现IR,虽然我知道IR减少。

2019-04-18 23:03 2 · 回答