What deposit made at the end of each quarter will accumulate to $$20000\mathrm{.}00$ in four years at $4\%$ compounded quarterly?

a

$$1168\mathrm{.}24$

b

$$1158\mathrm{.}89$

c

$$1052\mathrm{.}45$

d

$$1432\mathrm{.}82$