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王二狗 · 2021年11月03日

这种题可以死记这个公式吗?n[(n-1)/2]

NO.PZ2017092702000072

问题如下:

Given a portfolio of five stocks, how many unique covariance terms, excluding variances, are required to calculate the portfolio return variance?

选项:

A.

10

B.

20

C.

25

解释:

A is correct.

A covariance matrix for five stocks has 5 × 5 = 25 entries. Subtracting the 5 diagonal variance terms results in 20 off-diagonal entries. Because a covariance matrix is symmetrical, only 10 entries are unique (20/2 = 10)

根据五个股票两两组合,去掉自己和自己组合,一共是5*4/2=10种

这种题可以死记这个公式吗?n[(n-1)/2]

1 个答案

星星_品职助教 · 2021年11月03日

同学你好,

这个公式实际上就是5C2,这样记忆比较简单。

题目意思实质就是现在有5只股票,其中两两组合有多少种可能(题干中的“unique covariance terms”说明了不需要考虑顺序,即Cov1,2=Cov2,1,只能当成一个““unique covariance terms”来考虑)。

5C2直接按计算器就可以了,顺序为输入“5”,按“2nd”+最右侧一列的加号键,再输入“2”,直接按等号即可得到结果10。

这个公式按照上述处理即可,是最快捷的方法。


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