Sorenson Corp.$\text{'}$s expected year$-$end dividend is $D_1=$$$4\mathrm{.}00,$ 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$.$ $$76\mathrm{.}92$

b$.$ $$87\mathrm{.}24$

c$.$ $$85\mathrm{.}36$

d$.$ T$.$