The future value a Roth Individual Retirement Account will be option d. $95,923. 88.
"Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.
Since the deposit is made at the end of each year, the relevant formula to use is the formula for calculating the Future Value (FV) of an Ordinary Annuity stated as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where:
FV = Future value after 30 years = ?
M = Annual payment = $2,675.32
r = Annual interest rate = 1.2%, or 0.012
n = Number of years = 30
Substituting the values into equation (1), we have:
FV = $2,675.32 * (((1 + 0.012)^30 - 1) / 0.012)
FV = $2,675.32 * 35.8551048895342
FV = $95,923.88
Therefore, the future value of such an account d. $95,923. 88.
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