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 risk$-$free Treasury bill that pays $2\%.$ Let C denote this complete portfolio.

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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.