Calculate the accumulated value of quarterly payments of $$100\mathrm{.}00$ made at the end of each quarter for ten years just after the last payment has been made if interest is $8\%$ p$.$a$.$ compounded quarterly.

a

$$6040\mathrm{.}20$

b

$$2040\mathrm{.}00$

c

$$4003\mathrm{.}91$

d

$$4415\mathrm{.}88$