Answer:
Total cost= $104,022.6
Explanation:
Given the following data:
The company anticipates $6000 in expenditure after 1 year, $9000 after 3 years, and $10,000 annually from year 6 through year 10.
The annual interest rate is set at 12%.
We will apply this formula:
FV= PV*(1+i)^n
FV= 6000*(1.12)^9= 16,638.47
FV= 9000*(1.12)^7= 19,896.13
Total= $36,534.6
For the last three amounts, we shall use the formula:
FV= {A*[(1+i)^n-1]}/i
A= annual payment
FV= {10000*[(1.12^3)-1]}/0.12= 67,488
The cumulative cost is 67,488 + 36,534.6= $104,022.6