Problem $5\mathrm{.}4($a$)$ Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $31\%.$ The T$-$bill rate is $4\%.$ Your client chooses to invest $70\%$ of a portfolio in your fund and $30\%$ in a T$-$bill money market fund. What is the expected return of your client's portfolio? $($Enter your answer in percentage points. Round your answers to $2$ decimal places.$)$ QUESTION $13$ Problem $5\mathrm{.}4($b$)$ Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $31\%.$ The T$-$bill rate is $4\%.$ Your client chooses to invest $70\%$ of a portfolio in your fund and $30\%$ in a T$-$bill money market fund. What is the standard deviation of your client's portfolio? $($Enter your answer in percentage points. Round your answers to $2$ decimal places.$)$ QUESTION $14$ Problem $5\mathrm{.}4($c$)$ Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $31\%.$ The T$-$bill rate is $4\%.$ Your client chooses to invest $70\%$ of a portfolio in your fund and $30\%$ in a T$-$bill money market fund. Suppose your risky portfolio Includes the following investments in the given proportions: Steek A Steek $3$ Steek c $35$ What proportion of your client's overall portfolio is invested in stock A$,$ after accounting for the fact that $30\%$ goes to T$-$bills? $($Enter your answer in percentage points. Round your answers to $1$ decimal places.$)$ QUESTION $15$ Problem $5\mathrm{.}4($d$)$ Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $31\%.$ The T$-$bill rate is $4\%.$ Your client chooses to invest $70\%$ of a portfolio in your fund and $30\%$ in a T$-$bill money market fund. What is the reward$-$to$-$volatility ratio $($s$)$ of your risky portfolio? $($Round your answers to $4$ decimal places.$)$ QUESTION $16$ Problem $5\mathrm{.}4($e$)$ Assume that you manage a risky portfolio with an expected rate of return of $15\%$ and a standard deviation of $31\%.$ The T$-$bill rate is $4\%.$ Your client chooses to invest $70\%$ of a portfolio in your fund and $30\%$ in a T$-$bill money market fund. What is the reward$-$to$-$volatility ratio $($s$)$ of your client's overall portfolio? $($Round your answers to $4$ decimal places.$)$