$$44\mathrm{.}50$ per share is the current price for Foster Farms' stock. The dividend is projected to increase at a constant rate of $5\mathrm{.}50\%$ per year. The required rate of

return on the stock, $r_S,$ is $9\mathrm{.}00\%.$ What is the stock's expected price $3$ years from today?

Select the correct answer.

a$.$ $$52\mathrm{.}25$

b$.$ $$53\mathrm{.}42$

c$.$ $$52\mathrm{.}64$

d$.$ $$53\mathrm{.}03$

e$.$ $$51\mathrm{.}86$