Portfolio standard deviation for a two-asset portfolio is calculated by the following formula
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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