You are a hedge fund maximizing the expected return subject to not exceeding standard devia tion of 11%. You do not have access tn hon'owing or short-selling. a} (2 points] There are only 2 assets available to you with the following annual retum charac teristics: Asset A. Asset B Expected return 10% 2% Standard deviation 10% 1% The correlation between tlte assets is J14. 1What are your portfolio allocations to assets A. and B? h} [2 points) Suppose you have $1 million under management. A private equity fund ap proaches you offering an access to asset C, which has an expected return of 15%, standard deviation of 12%, and the correlation with asset A in part a} of {1.5 and with asset B in part h} of 112. You will still retain your access to assets A and B in part a}. You have to pay the private equity fund a xed fee for the access to asset C and this payment directly reduces the amount of money you will have left to invest: for example, if you will pay the fund $1 million, you will only have $9 million to invest into assets A, B, and (I. How much would you be willing to pay for the access to asset C? For simplicity, assume that your hedge fund will exist for only one year