Please do all parts.

Question 3 (Total: 12 points) You are given the following information about a risk free asset and the Mean Variance Efficient Portfolio (MVEP): Ry = 5% , ERMVEP) = 15% and o(RMVEP) = 15% Answer the following questions. (Note: they can both be answered independently of each other) (a) (6 points) A friend of yours is investing all her wealth on what she believes to be a great" portfolio. This portfolio, call it OMEGA, has the following characteristics: E|ROMEGA - 10% and o(ROMEGA) = 10% Convince your friend that this portfolio is actually not that "great" because it is not efficient. In particular, show her that she can do better than this portfolio by proposing to her an efficient portfolio (call it P1) that has the same standard deviation of portfolio OMEGA but higher erpected return. You must show clearly why this portfolio is better i.e. find the expected return of portfolio Pl and compare it with the expected return of the OMEGA portfolio) and how you would creato it (i.c. find the proportion that you should invest in each security to create this new portfolio P1) Question 3a In order to generate the same standard deviation of OMEGA, what should be the weight invested in MVEP, X MVEP ? (Round to 3 decimal places) Question 3a Given the weight, what is the expected return (in percentage, round to 2 decimal places)) of your portfolio P1