Jerry is $25$ and wants to retire when he is $65$ years old. Based on his desired lifestyle, he figures he will need to accumulate $$4,000,000$ to achieve his goal.

If Jerry's current savings balance is $$200,000,$ how much will he need to contribute each year $($assume end of the year contributions$)$ to achieve his goal in $40$ years, assuming he earns an average annual return of $8\%?$

$$ $$9,523\mathrm{.}34$

$$17,362\mathrm{.}98$

$$1331\mathrm{.}38$

$$4,293\mathrm{.}59$