Assume that you are a portfolio manager. You manage a mutual fund with an expected return of $20\%$ and a standard deviation of $32\%.$ The T$-$bill rate $($risk$-$free rate$)$ is $4\%.$

Your client chooses to invest $70\%$ in your fund and $30\%$ in a T$-$bill.

What is the expected return of your client's portfolio?

What is the standard deviation of your client's portfolio?

What is the Sharpe ratio of your client's$$portfolio$?$