Answer:
The correct answer is:
$73,009 (a.)
Explanation:
Future value is the accumulated compounded interest on a certain amount (present value) invested over a specified period of time.
To calculate the future value or present value, the nominal annual interest, the duration of investment and the present value or future value respectively must be known. The relationship is shown mathematically as:
[tex]FV=PV(1 + i)^{n}[/tex]
or [tex]PV = \frac{FV}{(1 + i)^n}[/tex]
where FV = Future value
PV = present value
i = nominal interest rate in percentage
n = number of compounding period
note: nominal interest rate is interest rate before inflation adjustments or interest rate before the effect of compounding
In this question, we are to determine the present value (PV), because the future value after 25 years is set as $500,000.
∴ [tex]PV = \frac{FV}{(1 + i)^n}[/tex]
[tex]\\ PV = \frac{500,000}{(1 + 0.08)^2^5} = \frac{500,000}{6.8485} = 73,008.7[/tex]
= $73,009 (to the nearest dollars)
