Douglas is the manager of a $$5$ million investment fund. The fund consists of five stocks with the following investments and betas:

Stock Investment Beta

A $$1,000,0000\mathrm{.}40$

B $1,800,0001\mathrm{.}45$

C $1,200,000-0\mathrm{.}85$

D $700,0000$

E $300,0002\mathrm{.}20$

If the risk$-$free rate is $4\%$ and the market$$s required rate of return is $12\mathrm{.}6\%,$ what is the investment fund$$s required rate of return?