$$500$ is invested in Fund X and $$500$ is invested in Fund Y$.$ Fund Y earns interest at an effective annual discount rate d$,$ and Fund X earns interest at a simple annual discount rate of $0\mathrm{.}975$d$.$

At the end of two years, the amount in Fund X is equal to the accumulated value in Fund Y$.$

If $$1,000$ is invested in Fund X at the end of the first year, what is the accumulated value at the end of five years?