You have $$122,000$ to invest in a portfolio containing Stock $x$ and Stock $Y.$ Your goal is to create a portfolio that has an expected return of $17\mathrm{.}6$ percent. Stock $x$ has an expected return of $14$ percent and a beta of $1\mathrm{.}26,$ and Stock $Y$ has an expected return of $9\mathrm{.}5$ percent and a beta of $1\mathrm{.}00$

a$.$ How much money will you invest in Stock Y$?($Do not round intermediate calculations. A negative answer should be indicated by a minus sign.$)$

b$.$ What is the beta of your portfolio? $($Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.)$

a$.$ Investment in Stock $Y$

b$.$ Portfolio beta