The correct answer is D. 113.56.
The future value of a sum of money is the amount of money that it will be worth in the future, given a certain interest rate and number of periods. The formula for calculating future value is:
$FV = PV(1 + r)^n$
where:
- $FV$ is the future value
- $PV$ is the present value
- $r$ is the interest rate
- $n$ is the number of periods
In this case, we are given that $PV = 100$, $r = 5\%$, and $n = 3$. Substituting these values into the formula, we get:
$FV = 100(1 + 0.05)^3 = 113.56$
Therefore, the future value of the sum of money is $113.56$.
Option A is incorrect because it is the present value, not the future value. Option B is incorrect because it is the amount of interest that will be earned, not the future value. Option C is incorrect because it is the future value if the interest rate were 10%, not 5%.