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claireteng · 2022年11月08日

请问percent contribution的公式里没有correlation,为什么不选它呢

NO.PZ2016071602000010

问题如下:

Suppose a portfolio consists of four assets. The risk contribution of each asset is as follows: UK large cap, 3.9%;UK small cap, 4.2%; UK bonds, 0.9%; non-UK bonds, 1.1%. Which of the following would not be a possible explanation for the relatively high risk contribution values for UK equities?

选项:

A.

High expected returns on UK equities

B.

High weights on UK equities

C.

High volatilities of UK equities

D.

High correlation of UK equities with all other assets in the portfolio

解释:

A is correct. The risk contribution is proportional to the weight times the beta. The latter involves the correlation between the asset and the portfolio, as well as the volatility of the asset. Higher weight, correlation, and volatility would create higher risk contribution. In contrast, high expected returns would explain a high weight, but not a high risk contribution.

correlation应该用什么公式分析呢?

1 个答案

DD仔_品职助教 · 2022年11月08日

嗨,从没放弃的小努力你好:


这里的公式可以写为:risk contribution= weight * β,在计算β的时候是有用到相关系数的,,相当于相关系数内含在了risk contribution的公式里,所以相关系数越高,risk contribution就越大。

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