Sorenson Corp.$\text{'}$s expected year$-$end dividend is $D_1=$$$3\mathrm{.}40,$ its required return is $r_s=11\mathrm{.}00\%,$ its dividend yield is $6\mathrm{.}00\%,$ and its growth rate is expected to be constant in the future. What is Sorenson's expected stock price in $7$ years, i$.$e$.,$ what is tilde$(P{)}_7?$ Do not round intermediate calculations.

a$.$ $$59\mathrm{.}50$

b$.$ $$75\mathrm{.}94$

c$.$ $$117\mathrm{.}65$

d$.$ $$85\mathrm{.}21$

e$.$ $$79\mathrm{.}74$