you are a Morgan Stanley portfolio manager of a risky portfolio with an expected rate of return of $17\%$ and a standard deviation of $28\%.$ The tea bill rate is $7\%$ suppose your client decides to invest in your risky portfolio a proportion $($Y$)$ of his total investment budget, so that is overall portfolio will have a standard deviation of $10\%.$ what is the proportion y$?$ what will be the expected rate of return of your clients portfolio? what is the sharpe ratio of your portfolio? suppose your client is wondering if he should switch his money in your fund to a passive portfolio invested to mimic the S and P $500$ stock index yields and expected rate of return of $9\%$ with the standard deviation of $25\%$ show your client the maximum fee you could charge as a percent of the investment in your fund deducted at the end of the year that would still leave them at least as well of investing in your fund as in the passive One.