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.$)$

You wish to establish a trust fund from which your heirs can withdraw $$10,000$ per month for $20$ years, at the end which

time they will receive $$20,000.$ How large should the trust be if invested in the Fidelity stock fund? HINT $[$See Example $3.]$

$($Round your answer to the nearest cent.$)$