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旋风小铠甲 · 2020年03月17日

问一道题:NO.PZ2018011501000007

问题如下:

Müller uses a risk parity asset allocation approach with a client’s four–asset class portfolio. The expected return of the domestic bond asset class is the lowest of the asset classes, and the returns of the domestic bond asset class have the lowest covariance with other asset class returns. Müller estimates the weight that should be placed on domestic bonds.

In the risk parity asset allocation approach that Müller uses, the weight that Müller places on domestic bonds should be:

选项:

A.

less than 25%.

B.

equal to 25%.

C.

greater than 25%.

解释:

C is correct.

A risk parity asset allocation is based on the notion that each asset class should contribute equally to the total risk of the portfolio. Bonds have the lowest risk level and must contribute 25% of the portfolio’s total risk, so bonds must be overweighted (greater than 25%). The equal contribution of each asset class is calculated as:

wi* Cov(ri,rp)=1nσp2\frac1n\sigma_p^2  

where

wi = weight of asset i

Cov(ri,rp) = covariance of asset i with the portfolio

n = number of assets

σ2= variance of the portfolio

In this example, there are four asset classes, and the variance of the total portfolio is assumed to be 25%; therefore, using a risk parity approach, the allocation to each asset class is expected to contribute (1/4 × 25%) = 6.25% of the total variance. Because bonds have the lowest covariance, they must have a higher relative weight to achieve the same contribution to risk as the other asset classes.

请问关于risk parity什么时候用广义的risk parity公式,什么时候用狭义的公式?

1 个答案

Shimin_CPA税法主讲、CFA教研 · 2020年03月17日

嗨,从没放弃的小努力你好:


Risk budgeting,分成广义和狭义。广义上分成两种方法,一是risk parity,一种是狭义的risk budgeting。

如果题目明确是risk parity,那就没有争议,只能使用wi×Cov (ri,rp)=1/n*σ2p的公式。

如果题目说的是risk budgeting,需要进一步判断。如果要用excess return1/MCTR1=excess return2/MCTR2的公式,题目中一般会有相关信息,比如说既要考虑风险,又要考虑收益率。这样的均衡使得投资者在每个资产上承担的风险以及获得的收益达到了最优状态。


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