Given an effective annual interest rate of $10\%,$ what is the value at end of year $5$ of a

perpetual stream of $$120$ annual dividends that begins in $9$ years?

a$)$ $$1200$

b$)$ $$819\mathrm{.}16$

c$)$ $$901\mathrm{.}58$

d$)$ $$503\mathrm{.}86$

e$)$ There is not enough information to solve this problem.