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光猪宋两利 · 2024年04月03日

这题完全没看懂能不能解释一下

NO.PZ2023091601000014

问题如下:

Roy Thomson, a global investment risk manager of FBN Bank, is assessing Markets A and B using a two-factor model:

WhereRi is the return for asset i; β is the factor sensitivity; And F is the factor. The random error, has a mean of zero and is uncorrelated with the factors and with the random error of the other asset returns. In order to determine the covariance between Markets A and B, Thomson developed the following factor covariance matrix for global assets: εi

Suppose the factor sensitivities to the global equity factor are 0.70 for market A and 0.85 for Market B, and the factor sensitivities to the global bond factors are 0.30 for market A and 0.55 for Market B. The covariance between Market A and Market B is closest to:

选项:

A.

0.213

B.

0.461

C.

0.205

D.

0.453

解释:

Covariance is a measure of how the variables move together.


这题完全没看懂能不能解释一下

1 个答案

品职答疑小助手雍 · 2024年04月03日

同学你好,这题略微有点超纲,是covariance 矩阵计算的扩展,大概率是考不到的。

解题过程,题目里的sensitivity有点权重的感觉,整个式子就是把A的股和债,和B的股和债用权重两两拼起来,在辅以他们的协方差cov。

比如式子的第一段就是A的股和B的股的权重乘以二者的cov。

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