Answer:
The value of this inheritance today is <u>$30,541.12</u>.
Explanation:
Since the $2,400 is to be received the first day of each year, this is shows that this an annuity due and the relevant formula to use is the formula for calculating the present value (PV) of an annuity due given as follows:
PV = P * [{1 - [1 / (1 + r)]^n} / r] * (1 + r) .................................. (1)
Where ;
PV = Present value or the value of this inheritance today =?
P = Annual receipt = $2,400
r = discount rate = 6.75%, or 0.0675
n = number of years = 20
Substituting the values into equation (1) above, we have:
PV = $2,400 * [{1 - [1 / (1 + 0.0675)]^25} / 0.0675] * (1 + 0.0675)
PV = $2,400 * 11.9208107635642 * 1.0675
PV = $30,541.12
Therefore, the value of this inheritance today is <u>$30,541.12</u>.
