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Timedbean · 2024年10月30日

计算公式

NO.PZ2023091901000044

问题如下:

A high net worth investor is monitoring the performance of an index tracking fund in which she has invested. The performance figures of the fund and the benchmark portfolio are summarized in the table below:

What is the tracking error volatility of the fund over this period?

选项:

A.

0.09%

B.

1.10%

C.

3.05%

D.

4.09%

解释:

Relative risk measures risk relative to a benchmark index, and measures it in terms of tracking error or deviation from the index.

We need to calculate the standard deviation (square root of the variance) of the series:

{0.08, 0.04, 0.02, 0.01, 0.005}

Perform the calculation by computing the difference of each data point from the mean, square the result of each, take the average of those values, and then take the square root. This is equal to 3.04%

相对风险是度量相对于基准指数的风险,并根据跟踪误差或偏离指数来度量风险。
我们需要计算这个序列的标准差(方差的平方根):
{0.08, 0.04, 0.02, 0.01, 0.005}
通过计算每个数据点与平均值的差值来执行计算,对每个数据点的结果进行平方,取这些值的平均值,然后取平方根。其等于3.04%


为什么这个计算方法和公式不一样咧。


1 个答案

pzqa39 · 2024年10月30日

嗨,爱思考的PZer你好:


一样的道理呀,这道题也是用fund return-benchmark return,得到新的一组数。对这五个数字先求平均值再求方差,最后开根号。就是讲义里面的这个公式。


其实这个就是我们计算标准差的公式,Sx=(Σ(Xi-X拔)/(n-1))^0.5


另外这个题既然是求标准差,是可以直接按计算器的,节省计算时间:

计算器2nd-->7进入数据模式

一个个输入数据0.08, 0.04, 0.02, 0.01, 0.005

2nd-->8进入统计模式

向下箭头切换到Sx


----------------------------------------------
努力的时光都是限量版,加油!

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