Stock X has an expected return of $10\%,$ a beta coefficient of $0\mathrm{.}9,$ and standard deviation of expected returns of $35\%.$ Stock Y has an expected return of $12\mathrm{.}5\%,$ a beta of $1\mathrm{.}2,$ and standard deviation $25\%.$ The risk free rate is $8\%,$ and the market risk premium is $6\%.$

i$)$ Calculate the required return for this portfolio, which has $$17,500$ invested in stock X and $$12,500$ invested in stock Y