The following table shows the average returns for some of the largest mutual funds commonly found in retirement plans. $($Assume end$-$of$-$month deposits and withdrawals and monthly compounding, and assume that the quoted rate of return continues indefinitely.$)$

Mutual

Fund Fidelity

Growth

Company Vanguard

$500$ Index PIMCO

Total Return Vanguard

Total Bond

Market Index

Rate of

Return $15\mathrm{.}83\%13\mathrm{.}25\%3\mathrm{.}77\%2\mathrm{.}67\%$

Type Stock fund Stock fund Bond fund Bond fund

How much would be accumulated after $30$ years in a retirement account invested entirely in the Fidelity stock fund with payments of $$200$ per month? HINT $[$See Quick Example $1.]($Round your answer to the nearest cent.$)$

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