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kumachan · 2024年08月07日

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NO.PZ2022122801000034

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)= 1/n*σp2

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.

请问老师,这道题哪里写了组合的方差是25%?

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.

1 个答案

Lucky_品职助教 · 2024年08月08日

嗨,从没放弃的小努力你好:


同学你好:


风险平价在资产配置里的观念是,每个资产类别对投资组合的总风险的贡献应该相等。在这个例子中,有四个资产类别,如果平均来看,每个资产应该贡献总风险的25%,“the variance of the total portfolio is assumed to be 25%” 这句话确实有些歧义,应该理解为每个资产应该贡献总风险的25%。

但是由于domestic bond是这四类资产中风险最低的,并且domestic bond与其他资产的协方差也是最低的,所以如果想要让domestic bond贡献出和其他资产相同的风险,那就需要domestic bond的配置权重必须大于平均的25%,因此它们必须具有较高的相对权重才能实现与其他资产类别相同的风险贡献。

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