Given current earnings $(E_0)$ of $$3\mathrm{.}50$ and a growth rate of $6$ percent, how much should you be 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$