What is the value of a stock that will pay a dividend in Yr $1$ of $$4\mathrm{.}50$ per share and then increase dividends $3\mathrm{.}50\%$ per year, assuming a discount rate of $8\%?$

a$.$ $$58\mathrm{.}33$

b$.$ $$33\mathrm{.}58$

c$.$ $$123\mathrm{.}99$

d$.$ $$100$