The formula to be used here is:
F = P(1+i)ⁿ
where
P = 40000
n = 6 1/4 years
Let's find i first which has to be converted to compounded annually.
i = (1 + r/m)^m - 1
where m = 4 because there are 4 quarters in 1 yr; and r is the given 0.14.
i = (1 + 0.14/4)⁴ - 1 = 0.1475
Thus,
F = (40000)(1+0.1475)^(6 1/4)
F = $94,517.96
