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cynthia · 2021年08月14日

这道题里面说的“including variances”什么意思?

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

难道不是把自己跟自己也算上的意思吗?
1 个答案

星星_品职助教 · 2021年08月14日

同学你好,

“how many unique covariance terms, excluding variances”指的是要计算covariance的数量,由于variance也算自己和自己的covariance,所以这道题问的是排除方差后,一共有几个unique的covariance。

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