Answer:
0.536
Explanation:
The computation of the correlation coefficient is shown below:-
[tex]\sigma^2_A \times w^2_A + \sigma^2_B \times w^2_B + 2\times w_A \times w_B \times \rho_{AB} \times \sigma_A \times \sigma_B = 0.034[/tex]
[tex]0.19^2 \times 0.70^2 + 0.25^2\times 0.30^2 + 2*0.70 \times 0.30 \times \rho_{AB} \times 0.19\times 0.25 = 0.034[/tex]
[tex]0.023314 + 0.01995 \times \rho_{AB} = 0.034[/tex]
[tex]0.01995 \times \rho_{AB} = 0.010686\\\\\rho_{AB} = 0.536[/tex]
Therefore for computing the correlation coefficient between the returns on A and B we simply applied the above formula.
So, according to the question the option is not available. The right answer is 0.536 and the same is not considered