Answer:
a) = $10,896.71
b) = $11,768.45
Explanation:
The question is divided into 2 parts
Part a) Amount in the account today
The formula to use is as follows:
FV of Annuity= P(1+r)∧n - 1)/r
P= Periodic Payment = $450
r= Rate of each period= 8%
n= the number of periods= 14
The account today is as follows:
FV = 450 x (1+0.08)∧14-1]/0.08
= $10,896.71
Part b) The formula to use is as follows:
FV = Future value = (1+r) * P * [ (1+r)n -1] / r
P= Periodic Payment = $450
r= Rate of each period= 8%
n= the number of periods= 14
= Fv= (1+0.08) * 450 * [ (1+0.08)^14 - 1] / 0.08
= $11,768.45
