Your grandmother just died and left you $$47,500$ in a trust fund that pays $6\mathrm{.}5\%$ interest. You must spend the money on your college education, and you must withdraw the money in $4$ equal installments, beginning immediately. How much could you withdraw today and at the beginning of each of the next $3$ years and end up with zero in the account?

a$.$ $$14,321\mathrm{.}05$

b$.$ $$10,415\mathrm{.}31$

c$.$ $$12,628\mathrm{.}56$

d$.$ $$9,894\mathrm{.}54$

e$.$ $$13,019\mathrm{.}14$