Sorenson Corp.$\text{'}$s expected year$-$end dividend is $D_1=$$$1\mathrm{.}80,$ 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 $9$ years, i$.$e$.,$ what is widetilde$(P{)}_9?$ Do not round intermediate calculations.

a$.$ $$76\mathrm{.}74$

b$.$ $$44\mathrm{.}32$

c$.$ $$31\mathrm{.}50$

d$.$ $$46\mathrm{.}54,$

e$.$ $$50\mathrm{.}68$