A stock is currently priced at $$50$ per share. If its dividends are expected to grow at $4\%$ per year forever $($and its required return remains unchanged$),$ the stock's price $10$ years from today should be$...$

a$)55\mathrm{.}03$

b$)74\mathrm{.}01$

c$)62\mathrm{.}90$

d$)47\mathrm{.}62$