You have $$150,000$ to invest in a portfolio containing Stock X and Stock Y$.$ Your goal is to create a portfolio that has an expected return of $13\mathrm{.}45$ percent. Stock X has an expected return of $12\mathrm{.}06$ percent and a beta of $1\mathrm{.}46,$ and Stock Y has an expected return of $8\mathrm{.}22$ percent and a beta of $\mathrm{.}82.$

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 $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the beta of your portfolio? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$