Ahkam Co$.$s stock price is $$50$ per share, and its expected year$-$end dividend is $$3\mathrm{.}75$ a share $($D$1=$ $$3\mathrm{.}75).$ The stock$$s required return is $12\%,$ and the dividend is expected to grow at a constant rate forever. What is the expected price of the stock $4$ years from now?

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

b$.$ $$54\mathrm{.}60$

c$.$ $$56\mathrm{.}00$

d$.$ $$57\mathrm{.}06$

e$.$ $$59\mathrm{.}63$