You have $$100,000$ to invest in a portfolio containing Stock A and Stock B$.$ Your goal is to create a portfolio that has an expected return of $12\mathrm{.}7$ percent. If Stock A has an expected return of $11\mathrm{.}4$ percent and a beta of $1\mathrm{.}25,$ and Stock B has an expected return of $8\mathrm{.}68$ percent and a beta of $\mathrm{.}85,$ how much money will you invest in Stock B$?$ Calculate the beta of your portfolio. Show intermediate steps to receive full credit.