Lisa Simpson wants to have $1,900,000 in 60 years by making equal annual end-of-the-year deposits into a tax-deferred account paying 9.75 percent annually. What must Lisa's annual deposit be?
Desired sum at retirement = $1,900,000
Time to retirement = 60 years
Annual interest rate = 9.75%
Let annual deposit be $x
$x*1.0975^59 + $x*1.0975^58 + … + $x*1.0975 + $x =
$1,900,000
$x * (1.0975^60 - 1) / 0.0975 = $1,900,000
$x * 2,714.12005 = $1,900,000
$x = $700.04
So, annual deposit is $700.04
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