John is the manager of a $$50$ million investment fund. The fund consists of five stocks with the following investments and betas:

Stock Investment $($in million $$)$ Beta

A $$17\mathrm{.}50\mathrm{.}96$

B $$12\mathrm{.}52\mathrm{.}14$

C $ $7\mathrm{.}51\mathrm{.}20$

D $$10\mathrm{.}00$

E $ $2\mathrm{.}51\mathrm{.}87$

If the risk$-$free rate is $4\mathrm{.}2\%$ and the market$$s required rate of return is $9\mathrm{.}8\%,$ what is the investment fund$$s required rate of return? $($Hint: find the portfolio beta first and then apply the CAPM formula$)$