You plan to invest $2,000 in an individual retirement arrangement (IRA) at the end of year one that pays a stated annual interest rate of 8 percent. How much will you have in the account at the end of 10 years if interest is compounded monthly?
A. $4,835.93
B. $4,688.01
C. $4,237.98
D. $4,439.28
The amount is computed as shown below:
Future value = Present value (1 + r)n
r is computed as follows:
= 8% / 12 (Since interest is compounded monthly, hence divided by 12)
= 0.666666667% or 0.0066666667
n is computed as follows:
= 10 x 12 (Since interest is compounded monthly, hence multiplied by 12)
= 120
So, the amount will be as follows:
= $ 2,000 x (1 + 0.0066666667)120
= $ 4,439.28 Approximately
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