In: Accounting
Derek currently has $14,368.00 in an account that pays 4.00%. He will withdraw $5,867.00 every other year beginning next year until he has taken 6.00 withdrawals. He will deposit $14368.0 every other year beginning two years from today until he has made 6.0 deposits. How much will be in the account 24.00 years from today? round to 2 decimals
Answer:
Year | Amounts | FVAF | FV | Years remaining |
0 | $ 14,368.00 | 2.563304165 | $ 36,829.55 | 24 |
1 | $ (5,867.00) | 2.464715543 | $ (14,460.49) | 23 |
2 | $ 14,368.00 | 2.369918792 | $ 34,050.99 | 22 |
3 | $ (5,867.00) | 2.278768069 | $ (13,369.53) | 21 |
4 | $ 14,368.00 | 2.191123143 | $ 31,482.06 | 20 |
5 | $ (5,867.00) | 2.106849176 | $ (12,360.88) | 19 |
6 | $ 14,368.00 | 2.025816515 | $ 29,106.93 | 18 |
7 | $ (5,867.00) | 1.947900496 | $ (11,428.33) | 17 |
8 | $ 14,368.00 | 1.872981246 | $ 26,910.99 | 16 |
9 | $ (5,867.00) | 1.800943506 | $ (10,566.14) | 15 |
10 | $ 14,368.00 | 1.731676448 | $ 24,880.73 | 14 |
11 | $ (5,867.00) | 1.665073507 | $ (9,768.99) | 13 |
12 | $ 14,368.00 | 1.601032219 | $ 23,003.63 | 12 |
13 | 1.539454056 | $ - | 11 | |
14 | 1.480244285 | $ - | 10 | |
15 | 1.423311812 | $ - | 9 | |
16 | 1.36856905 | $ - | 8 | |
17 | 1.315931779 | $ - | 7 | |
18 | 1.265319018 | $ - | 6 | |
19 | 1.216652902 | $ - | 5 | |
20 | 1.16985856 | $ - | 4 | |
21 | 1.124864 | $ - | 3 | |
22 | 1.0816 | $ - | 2 | |
23 | 1.04 | $ - | 1 | |
24 | 1 | $ - | 0 | |
$ 134,310.53 |
Calculations:
In case of any doubt, please feel free to comment.