What is the PV of an annuity due with $5$ payments of $$2,500$ at an interest rate of $5\mathrm{.}5\%?$

a$.$ $$11,826\mathrm{.}02$

b$.$ $$12,417\mathrm{.}32$

c$.$ $$13,038\mathrm{.}19$

d$.$ $$11,262\mathrm{.}88$