You have $$106,000$ to invest in a portfolio containing Stock X and Stock Y$.$ Your goal is to create a portfolio that has an expected return of $16\mathrm{.}0$ percent. Stock X has an expected return of $13\mathrm{.}0$ percent and a beta of $1\mathrm{.}14,$ and Stock Y has an expected return of $9\mathrm{.}0$ percent and a beta of $\mathrm{.}84.$

a$.$ How much money will you invest in Stock Y$?($A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to the nearest whole number, e$.$g$.,32.)$

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