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Mathematics 15 Online
OpenStudy (anonymous):

Anyone know the formula to this question? Ashima made contributions to a Roth IRA over the course of 27 working years. His contributions averaged $2,800 annually. Ashima was in the 27% tax bracket during his working years. The average annual rate of return on the account was 5%. Upon retirement, Ashima stopped working and making Roth IRA contributions. Instead, he started living on withdrawals from the retirement account. At this point, Ashima dropped into the 18% tax bracket. Factoring in taxes, what is the effective value of Ashima’s Roth IRA at retirement? Assume annual compounding.

ganeshie8 (ganeshie8):

use the ordinary annuity formula to calculate amount accumulated in 27 years first

ganeshie8 (ganeshie8):

and subtract the tax

ganeshie8 (ganeshie8):

do u have the ordinary annuity formula wid u ?

ganeshie8 (ganeshie8):

Future Value = \(\large C\bullet \frac{(1+i)^{nt}-1}{i}\)

ganeshie8 (ganeshie8):

^^thats the ordinary annuity formula

ganeshie8 (ganeshie8):

figure out the numbers and plugin

OpenStudy (anonymous):

omg thank you so much!!!!

ganeshie8 (ganeshie8):

it can be tricky.... you need to subtract the tax also

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