Question

You are given the following data Stock A Expected return 8.00% Standard deviation 23.00% Stock B Expected return 7.50% Standard deviation 33.00% The correlation of Stock A and Stock B is 0.05. What is the variance of risky portfolio P with 43% in Stock A and the rest in Stock B

Answer 1

Variance of risky portfolio P = 4.61%

Step-by-step explanation:

WA = Weight of stock A = 43%, or 0.43

WB = Weight of stock B = 1 - 0.43 = 0.57

SA = Standard deviation of stock A = 23%, or 0.23

SB = Standard deviation of stock B = 33%, or 0.33

Cab = Correlation of Stock A and Stock B = 0.05

Therefore, we have:

Variance of risky portfolio P = (WA^2 * SA^2) + (WB^2 * SB^2) + (WA * SA * WB * SB * Cab) = (0.43^2 * 0.23^2) + (0.57^2 * 0.33^2) + (0.43 * 0.23 * 0.57 * 0.33 * 0.05) = 0.0461, or 4.61%