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20. Stock A has a standard deviation of 20%. Stock B has a standard deviation of 12%. The correlation coefficient between A a
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Portfolio standard deviation for a two-asset portfolio is calculated by the following formula

܂ ܗܢ ܗܝܢp ܕ , w Pc , + w ; « ; + 2 v/ܢ - , ._

Stock A

Stock B

Weight

60%

40%

Standard deviation σ

20%

12%

Correlation coefficient

50%

Variance = (0.60)2(0.20) 2 + (0.40) 2 (0.12) 2 + 2(0.60)(0.40)(0.50)(0.20)(0.12)

            = 0.022

Portfolio standard deviation is the square root of variance

            = Square root (0.022)

            = 0.148

Portfolio standard deviation is 0.148 or 14.8%

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