Question 1194952
if you invest 18000 at the end of each year, then the future value will be equal to 186,011.85.
if you invest 18000 at the beginning of each year, then the future value will be equal to 199,404.70.
the above results were achieved through use of the arachnoid financial calculator found at <a href = "https://arachnoid.com/finance/" target = "_blank">https://arachnoid.com/finance/</a>
results from the use of that calculator are shown below.
inputs were everything except future value (fv).
output was future value.
<img src = "http://theo.x10hosting.com/2022/061501.jpg" >
<img src = "http://theo.x10hosting.com/2022/061502.jpg" >
i also used the sum of a geometric series formula of Sn = a * (1-r^n)/(1-r).
a is equal 18000.
r is equal to 1.072.
n is equal to 8
the formula becomes Sn = 18000 * (1 - 1.072^8)/(1-1.072) = 186011.85.
this is the same result as 18000 invested at the end of each year.
i would go with 186011.85 as the future value first.
let me know if you have any questions.