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 $6\%.$

Calculate the required rate of return $($RRR$)$ for this portfolio, which has $$35,700$ invested in Stock $x$ and $$20,500$ invested in Stock Y$.$