Which of the following comes closest to the value of a perpetuity that pays to the holder the amount of $$100$ beginning at the end of year $5$ and then continues forever $($in year $6,$ year $7,$ and so on without ever stopping$)?$ Use a required rate of return of $2\%$

a$.5000$

b$.4619$

c$.2962$

d$.2137$

e$.1645$