You estimate that a passive portfolio, for example, one invested in a risky portfolio that mimics the S&P $500$ stock index, offers an expected rate of return of $15\%$ with a standard deviation of $26\%.$ You manage an active portfolio with expected return $19\%$ and standard deviation $31\%.$ The risk$-$free rate is $5\%.$ Your client's degree of risk aversion is A $=2\mathrm{.}8.$

a$.$ If he chose to invest in the passive portfolio, what proportion, y$,$ would he select? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ What is the fee $($percentage of the investment in your fund, deducted at the end of the year$)$ that you can charge to make the client indifferent between your fund and the passive strategy affected by his capital allocation decision $($i$.$e$.,$ his choice of y$)?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$