Sorenson Corp.$\text{'}$s expected year$-$end dividend is $D_1=$$$4\mathrm{.}50,$ its required return is $r_s=15\mathrm{.}00\%,$ and its growth rate is expected to be constant at $5\%$ in the future. What is Sorenson's expected stock price in $11$ years, i$.$e$.,$ what is widehat$(P{)}_{11}?$