Jeremiah Co$.\text{'}$s expected year$-$end dividend is D$1=$ $$2\mathrm{.}50,$ its required return is rs $=12\mathrm{.}00\%,$ its dividend yield is $5\mathrm{.}50\%,$ and its growth rate is expected to be constant in the future. What is Jeremiah's expected stock price in $6$ years, i$.$e$.,$ what is P$6?$

a$.$ $$66\mathrm{.}32$

b$.$ $$62\mathrm{.}28$

c$.$ $$48\mathrm{.}41$

d$.$ $$89\mathrm{.}72$

e$.$ $$62\mathrm{.}67$