Suppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, P_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 6P
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Suppose an investor uses two stocks A and B
to build a risky portfolio. The following
information is given:
E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%,
p_AB=0.4,r_f=2%. Denote the optimal risky
portfolio investor can achieve with the highest
Sharpe ratio by portfolio O.
Calculate the weights of A and B (w_A and
w_B) in the optimal risky portfolio O.
Calculate the expected return and standard
deviation of return for portfolio O.
Calculate the Sharpe ratio of portfolio O.
Transcribed Image Text:Suppose an investor uses two stocks A and B to build a risky portfolio. The following information is given: E(r_A)=10%,E(r_B)=12%,0_A=15%,o_B=20%, p_AB=0.4,r_f=2%. Denote the optimal risky portfolio investor can achieve with the highest Sharpe ratio by portfolio O. Calculate the weights of A and B (w_A and w_B) in the optimal risky portfolio O. Calculate the expected return and standard deviation of return for portfolio O. Calculate the Sharpe ratio of portfolio O.
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