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凡尘白骑士 · 2020年01月27日

问一道题:NO.PZ2018070201000064

问题如下:

Eunice, an analyst from an investment company, recently made the following statements about an equally-weighted portfolio consisting of a large number of assets:

Statement 1: Average variance of the individual assets contributes the most to the volatility of the portfolio.

Statement 2: Standard deviation of the individual assets contributes the most to the volatility of the portfolio.

Statement 3: Average covariance between all pairs of assets contributes the most to the volatility of the portfolio.

Which statement is most correct?

选项:

A.

Statement 1.

B.

Statement 2.

C.

Statement 3.

解释:

C is correct.

As the number of assets in the same weighting portfolio increases, the co-movement between assets also increases. As the number of assets contained in the equally weighted portfolio increases, the contribution of each individual asset's variance to portfolio volatility decreases.The following equation for the variance of an equally weighted portfolio illustrates these points:

σ p 2 = σ -2 N + N1 N COV ¯ = σ -2 N + N1 N ρ ¯ σ ¯ 2

老师,这单题目是不是可用1/n *α+ n-1/n *cov这个公式去理解。

1 个答案

星星_品职助教 · 2020年02月03日

同学你好,

可以用你写的公式去理解。

但是可以更简单一些,这道题其实就是一个结论,随着组合中资产数量的增加,协方差(而不是方差)的影响更大。

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NO.PZ2018070201000064问题如下Eunice, analyst from investment company, recently ma the following statements about equally-weighteportfolio consisting of a large number of assetsStatement 1: Average varianof the inviassets contributes the most to the volatility of the portfolio.Statement 2: Stanrviation of the inviassets contributes the most to the volatility of the portfolio.Statement 3: Average covarianbetween all pairs of assets contributes the most to the volatility of the portfolio.Whistatement is most correct?A.Statement 1.B.Statement 2.C.Statement 3.C is correct.the number of assets in the same weighting portfolio increases, the co-movement between assets also increases. the number of assets containein the equally weighteportfolio increases, the contribution of eainviasset's varianto portfolio volatility creases.The following equation for the varianof equally weighteportfolio illustrates these points: σ p 2 = σ -2 N + N−1 N COV ¯ = σ -2 N + N−1 N ρ ¯ σ ¯ 2 单个资产的波动不影响整体么

2024-03-11 14:11 1 · 回答

NO.PZ2018070201000064 Statement 2. Statement 3. C is correct. the number of assets in the same weighting portfolio increases, the co-movement between assets also increases. the number of assets containein the equally weighteportfolio increases, the contribution of eainviasset's varianto portfolio volatility creases.The following equation for the varianof equally weighteportfolio illustrates these points: σ p 2 = σ -2 N + N−1 N COV ¯ = σ -2 N + N−1 N ρ ¯ σ ¯ 2 请问下volatility是什么意思 c翻译成中文是在说什么啊‘

2022-02-14 19:54 1 · 回答

Statement 2. Statement 3. C is correct. the number of assets in the same weighting portfolio increases, the co-movement between assets also increases. the number of assets containein the equally weighteportfolio increases, the contribution of eainviasset's varianto portfolio volatility creases.The following equation for the varianof equally weighteportfolio illustrates these points: σ p 2 = σ -2 N + N−1 N COV ¯ = σ -2 N + N−1 N ρ ¯ σ ¯ 2 请问A的表述和C的表述区别在哪里???

2020-05-24 22:53 1 · 回答

老师 这道题没有很理解 能详细解答下吗。 我自己的理解是 当这个资产数量很多时 因为他题目里说a large number of ,然后那个equweighte式子 cov的影响很大,那根据cov的式子 单个资产的方差不是会影响吗 选b这样

2019-11-23 13:09 1 · 回答