Bob and Ann both make optimal portfolio allocations. Bob has $ 1000 to invest, Ann has $ 2000 to invest. There are 3 assets that they can invest in: a risk free asset with a rate of return of 5%, and two risky assets with the following properties:
• Asset A has expected return of 10% and standard deviation of return of 12%.
• Asset B has expected return of 17% and standard deviation of return of 20%. The correlation between the return on asset A and return on asset B is 0.2.
Assume now that Bob's optimal portfolio is $ 300 in the risk free asset, $ 300 in asset A and $ 400 in asset B. Ann's optimal portfolio has $ 900 invested in asset B, answer