Security A has an expected return of 12 with a standard devi
Security A has an expected return of 12% with a standard deviation of 44%. Security B has an expected return of 18% with a standard deviation of 58%. The correlation coefficient between Stocks A and B is 0. What is the standard deviation, in percentages, of a portfolio invested 45% in Stock A and 55% in Stock B?
Solution
Portfolio=(0.45)Stock A+(0.55)Stock B
Variance(Portfolio)=(.45)2 Variance(Stock A)+(0.55)2 Variance(Stock B) [no covariance term,since correlation coefficient between stocks A and B is 0] = 1409.65
Standard deviation in percentages of a portfolio invested 45% in Stock A and 55% in stock B
=sqrt(1409.65)=37.5453%

