You have a $$100,000$ to invest in portfolio containing Stock X and Stock Y$.$ Your goal is to create a portfolio that has an expected return of $11\mathrm{.}7$ percent. If Stock X has an expected return of $10\mathrm{.}8$ percent and a beta of $1\mathrm{.}25,$ and Stock Y has an expected return of $8\mathrm{.}6$ percent and a beta of $\mathrm{.}85,$ how much money will you invest in Stock Y$?$ What is the beta of your portfolio?