Consider the following portfolio of assets: Loan Weight 1 0.30 2 0.70 Expected returni ம σ2 13% 11% 9.06% 82.0% P12=-0.87 8.72% 76.0% 012-75.0% What is the variance of the portfolio (round to two decimals)? Note: a^2 denotes the square of a. For example, 2^2 = 4, 3^2=9 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + (0.3) (0.7)(-0.87) (9.06%) (8.72%) = 30.19 (0.3)^2 (82.0%) + (0.7)^2*(76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 15.75 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + [(0.3) (0.7)]^2 (-0.87) (9.06%) (8.72%) = 41.59 (0.3) (82.0%) + (0.7) (76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 48.93

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Chapter8: Risk And Rates Of Return
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Consider the following portfolio of assets:
Loan
Weight
1
0.30
2
0.70
Expected returni
ம
σ2
13%
11%
9.06% 82.0% P12=-0.87
8.72% 76.0% 012-75.0%
What is the variance of the portfolio (round to two decimals)?
Note: a^2 denotes the square of a. For example, 2^2 = 4, 3^2=9
(0.3)^2*(82.0%) + (0.7)^2*(76.0%) + (0.3) (0.7)(-0.87) (9.06%) (8.72%) = 30.19
(0.3)^2 (82.0%) + (0.7)^2*(76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 15.75
(0.3)^2*(82.0%) + (0.7)^2*(76.0%) + [(0.3) (0.7)]^2 (-0.87) (9.06%) (8.72%) = 41.59
(0.3) (82.0%) + (0.7) (76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 48.93
Transcribed Image Text:Consider the following portfolio of assets: Loan Weight 1 0.30 2 0.70 Expected returni ம σ2 13% 11% 9.06% 82.0% P12=-0.87 8.72% 76.0% 012-75.0% What is the variance of the portfolio (round to two decimals)? Note: a^2 denotes the square of a. For example, 2^2 = 4, 3^2=9 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + (0.3) (0.7)(-0.87) (9.06%) (8.72%) = 30.19 (0.3)^2 (82.0%) + (0.7)^2*(76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 15.75 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + [(0.3) (0.7)]^2 (-0.87) (9.06%) (8.72%) = 41.59 (0.3) (82.0%) + (0.7) (76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 48.93
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