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Answer:
The portfolio standard deviation is 14.82%
Explanation:
The portfolio standard deviation would be calculated by finding out the variance of the portfolio and taking the square root of it.
Variance of the portfolio = [(1 - .50) x 0.25
] + [0.50
x 0.16
] + [2 x (1 - 0.50) x 0.50 x 0.25 x 0.16 x 0]
= [0.25 x 0.0625] + [0.25 x 0.0256] + [0]
= 0.015625 + 0.0064
VarPort = 0.022025
Std DevPort = √0.022025
Std DevPort = 0.1482 = 14.82 percent