Assume you have mean$-$variance utility with a risk aversion of $3.$ Additionally, the risk$-$free rate is $5\%$ and the risky portfolio $P$ has an Expected Return of $9\%$ and a standard deviation of $20\%.$ What would be the optimal fraction allocated to $P$ in your "complete portfolio"?

$11\%$

$22\%$

$33\%$

$44\%$

$55\%$