An investor chooses to invest $75\%$ of her wealth in a risky asset $P$ with an expected rate of return of $17\%$ and a standard deviation of $32\%,$ and she puts $25\%$ in a riskless Treasury bill that pays $2\%.$

Let $C$ denote this complete portfolio.

$($a$)$ Compute the expected rate of return and standard deviation of portfolio C$.$

$($b$)$ Draw the Capital Allocation Line $($CAL$)$ for this investor. Clearly label the points corresponding to the T$-$bill, asset $P$ and portfolio $C.$

$($c$)$ What is the slope of the Capital Allocation Line $($CAL$)?$

$($d$)$ Find the risk aversion level of the investor given her complete portfolio decision above.