Question

An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%.
The proportion of the optimal risky portfolio that should be invested in stock B is approximately ________.

A) 29% B) 44% C) 56% D) 71%

Answer 1

Answer:

A) 29%

Explanation:

W= (.14-.05)(.39^2)-(.21-.05)(.20)(.39)(.4)

(.14-.05)(.39^2)+(.21-.05)(.20^2) - (.14-.05+.21-.05)(.20)(.39)(.4)

B = 71% A =1-0.71= 29%

σ2rp = (.292)(.392) + (.712)(.202) + 2(.29)(.71)(.39)(.20).4

σ2rp = .045804

σrp = 21.4%