You want to save for making a down payment on a house $3$ years from now, and you plan to save $$5,000$ per year, beginning one year from today. You will deposit your savings in a fund that pays $5\%$ annual interest. How much will you have for the down payment just after you make the $3$rd deposit, $3$ years from now?

a$.$ $$15,762\mathrm{.}50$

b$.$ $$12,603\mathrm{.}50$

c$.$ $$13,267\mathrm{.}50$

d$.$ $$13,930\mathrm{.}50$

e$.$ $$14,626\mathrm{.}50$