Alex invested $$10,000$ in a mutual fund two and one$-$half years ago when the NAV of the fund was $$25.$ Today, the NAV has risen to $$28\mathrm{.}30.$ Since the time of his original investment, Alex has obtained an additional $54\mathrm{.}36$ shares by reinvesting the fund distributions. The fund charges a back$-$end load of $6\%$ the first year with the charge decreasing by $1\%$ each year. How much money will he receive if he redeems his shares today?

$$11,930\mathrm{.}52$

$$12,858\mathrm{.}39$

$$13,501\mathrm{.}31$

$$12\mathrm{.}344\mathrm{.}05$