
Explanation:
Covariance is a measure of how the variables move together.
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Roy Thomson, a global investment risk manager of FBN Bank, is assessing Markets A and B using a two-factor model:
where is the return for asset ; is the factor sensitivity; and 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:
| Factor Covariance Matrix for Global Assets | Global Equity Factor | Global Bond Factor |
|---|---|---|
| Global Equity Factor | 0.3424 | 0.0122 |
| Global Bond Factor | 0.0122 | 0.0079 |
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 factor are 0.30 for Market A and 0.55 for Market B.
The covariance between Market A and Market B is closest to:
A
0.213
B
0.461
C
0.205
D
0.354