If $1)$ the expected return for Belmont Bagels stock is $8\mathrm{.}26$ percent; $2)$ the dividend is expected to be $$4\mathrm{.}13$ in one year, $$0\mathrm{.}00$ in two years, $$6\mathrm{.}23$ in three years, $$0\mathrm{.}00$ in four years, and $$2\mathrm{.}15$ in five years; and $3)$ after the dividend is paid in five years, the dividend is expected to begin growing by $4\mathrm{.}07$ percent a year forever, then what is the current price of one share of the stock? $$ An amount less than $$44\mathrm{.}66$ or a rate greater than $$53\mathrm{.}15$

An amount equal to or greater than $$46\mathrm{.}80$ but less than $$47\mathrm{.}59$

An amount equal to or greater than $$44\mathrm{.}66$ but less than $$46\mathrm{.}80$

An amount equal to or greater than $$47\mathrm{.}59$ but less than $$49\mathrm{.}48$

An amount equal to or greater than $$49\mathrm{.}48$ but less than $$53\mathrm{.}15$