Answer:
The money that must be deposited to the fund now to just deplete the fund after the last withdrawal is $34,428.
Explanation:
This is a case of decreasing annuity, in which every year is decreased a fixed ammount. In this case, the decrease does not have a constant rate, so the formula for a increasing (or decreasing) annuity is not applicable.
We have to calculate the present value in a traditional way:
[tex]PV=\sum_{k=1}^6CF_i/(1+i)^k\\\\PV=12,000/(1.08)+10,000/(1.08)^2+8,000/(1,08)^3+6,000/(1.08)^4+4,000/(1.08)^5+2,000/(1.08)^6\\\\PV= 11,111+ 8,573 +6,351+ 4,410+ 2,722+1,260\\\\PV=34,428[/tex]
Answer:
$34,438.11
Explanation:
The explanation is given in the picture below
