A new investment opportunity for you is an annuity that pays $$1,700$ at the beginning of each year for $3$ years. You could earn $5\mathrm{.}5\%$ on your money in other investments with equal risk. What is the most you should pay for the annuity?

Select the correct answer.

a$.$ $$4,826\mathrm{.}54$

b$.$ $$4,863\mathrm{.}14$

c$.$ $$4,850\mathrm{.}94$

d$.$ $$4,814\mathrm{.}34$

e$.$ $$4,838\mathrm{.}74$