Given current earnings $($E$0)$ of $$3\mathrm{.}50$ and a growth rate of $6$ percent, how much should yoube willing to pay for the stock if the P$/$E ratio is $15?$

a$)$ $$28\mathrm{.}75$b$)$ $$20\mathrm{.}54$c$)$ $$23\mathrm{.}25$d$)$ $$55\mathrm{.}65$e$)$ $$205\mathrm{.}38$