What will be the amount in an RRSP after twenty years if contributions of $$4,000$ are made at the beginning of each year for the first ten years, and contributions of $$5,000$ are made at the beginning of each year for the subsequent ten years? Assume that the RRSP will earn $4\%$ compounded quarterly.

$$147,357\mathrm{.}10$

$$127,357\mathrm{.}10$

$$143,357\mathrm{.}10$

$$129,357\mathrm{.}10$

$$137,357\mathrm{.}10$