Hazel Morrison, a mutual fund manager, has a $$25$ million portfolio with a beta of $0\mathrm{.}90.$ The risk$-$free rate is $4\mathrm{.}75\%,$ and the market risk premium is $7\mathrm{.}00\%.$ Hazel expects to receive an additional $$65$ million, which she plans to invest in additional stocks. After investing the additional funds, she wants the fund's required and expected return to be $14\mathrm{.}00\%.$ What must the average beta of the new stocks be to achieve the target required rate of return?

a$.1\mathrm{.}69$

b$.1\mathrm{.}48$

c$.3\mathrm{.}24$

d$.1\mathrm{.}30$

e$.1\mathrm{.}74$