You have $$100,000$ to invest in a portfolio containing stock $x,$ stock $Y,$ and a risk$-$free asset.

You must invest all of your money. Your goal is to create a portfolio that has an expected

return of $11\mathrm{.}22$ percent and that has only $96$ percent of the risk of the overall market. If $x$

has an expected return of $15\mathrm{.}35$ percent and a beta of $1\mathrm{.}55,Y$ has an expected return of

$9\mathrm{.}4$ percent and a beta of $0\mathrm{.}7,$ and the risk$-$free rate is $4\mathrm{.}5$ percent, how much money will you

invest in stock $x?$ How do you interpret your answer?