Sorenson Corp.$\text{'}$s expected year$-$end dividend is D$1=$ $$1\mathrm{.}40,$ its required return is rs $=13\mathrm{.}00\%,$ 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 $8$ years, i$.$e$.,$ what is P$8?$ Do not round intermediate calculations.

a$.$ $$40\mathrm{.}09$

b$.$ $$62\mathrm{.}03$

c$.$ $$24\mathrm{.}97$

d$.$ $$37\mathrm{.}47$

e$.$ $$37\mathrm{.}19$