Answer:
$2102.48.
Explanation:
FV=PV⋅(1+r)n
where:
FV is the future value
PV is the present value
r is the interest rate per period
n is the number of periods
In your case, the present value is 2000, the interest rate per year is 0.03, and the number of years is 18/12 = 1.5. However, since the formula uses the interest rate per period and the number of periods, you need to convert them to match the frequency of compounding. For example, if the interest is compounded monthly, then you need to divide the annual interest rate by 12 and multiply the number of years by 12. Let’s assume that the interest is compounded monthly in this case. Then, you can plug in the values into the formula and get:
FV=2000⋅(1+120.03)1.5⋅12
Using a calculator, you can simplify this expression and get:
FV=2000⋅1.031518
FV=2000⋅1.0512
FV=2102.48