You plan to make a lump-sum deposit of $6000 now into an investment account that pays 8% per year, and you plan to withdraw an equal end-of-year amount of $1000 for 6 years, starting next year. At the end of the sixth year, you plan to close your account by withdrawing the remaining money. Define the engineering economy symbols involved.
Deposit amount = $6,000
Year end payment = $1,000
Duration of withdrawal = 6 years
Here is the expanation of the below table using four variables:
B = A * 1.08
C = 1,000
D = B - C
Year | Beginning Value | Rate of interest | Value with interest earned on it | Amount Withdrawal | Money available at the end of year |
1 | A = 6000 | 8% | B = 6480 | C = 1000 | D = 5480 |
2 | 5480 | 8% | 5918.4 | 1000 | 4918.4 |
3 | 4918.4 | 8% | 5311.9 | 1000 | 4311.9 |
4 | 4311.9 | 8% | 4656.8 | 1000 | 3656.8 |
5 | 3656.8 | 8% | 3949.4 | 1000 | 2949.4 |
6 | 2949.4 | 8% | 3185.3 | 3185.3 | 0.0 |
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