Answer:
John Fillmore must invest $53,739.68 of his inheritance annually to buy the boat at retirement.
Explanation:
To determine this, we employ the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the amount of the boat he wants = $341,400
M = Annual investment required = ?
r = Annual interest rate = 12%, or 0.12
n = number of yeas = 6
Substituting the values into equation (1) and solve for M, we have:
$341,400 = M * (((1 + 0.12)^5 - 1) / 0.12)
$341,400 = M * 6.35284736
M = $341,400 / 6.35284736
M = $53,739.6824846741
Approximating to 2 decimal places, we have:
M = $53,739.68
Therefore, John Fillmore must invest $53,739.68 of his inheritance annually to buy the boat at retirement.
