A loan of $ A is to be repaid over $5$ years with quarterly payments of $$600(1$st payment $3$ months from now$).$ The interest rate on the loan is j$4=8\%$ for the first $3$ years and j$4=6\%$ thereafter. What is the value of A$?$

a

$$10,836\mathrm{.}76$

b

$$10,220\mathrm{.}67$

c

$$10,101\mathrm{.}89$

d

$$9,886\mathrm{.}77$