What is the present value of the following payment stream, discounted at $8\%$ annually: $$1,000$ at the end of year $1,$$$2,000$ at the end of year $2,$ and $$3,000$ at the end of year $3?$

a$.$ $$5,520\mathrm{.}00$

b$.$ $$5,423\mathrm{.}87$

c$.$ $$5,022\mathrm{.}10$

d$.$ $$5,144\mathrm{.}03$