Karim Enterprises' stock currently sells for $$34\mathrm{.}50$ per share. The dividend is projected to increase at a constant rate of $4\mathrm{.}25\%$ per year. The required rate of return on the stock, rs$,$ is $11\mathrm{.}50\%.$ What is the stock's expected price $5$ years from now?

a$.$ $$42\mathrm{.}48$

b$.$ $$59\mathrm{.}46$

c$.$ $$38\mathrm{.}47$

d$.$ $$48\mathrm{.}96$

e$.$ $$35\mathrm{.}97$