In: Finance
Derek currently has $11,546.00 in an account that pays 4.00%. He will withdraw $5,196.00 every other year beginning next year until he has taken 7.00 withdrawals. He will deposit $11546.0 every other year beginning two years from today until he has made 7.0 deposits. How much will be in the account 23.00 years from today?
PLEASE SHOW THE STEP HOW TO SOLVE THE QUESTION
Answer: | ||||||||||||
Derek Currently has 11546 in his account at an interest rate of 4%. | ||||||||||||
Derek will withdraw 5196 every other year beginning from next year, so Derek will withdraw 5196 at the beginning of year-2 | ||||||||||||
Derek will deposit 11546 every other year beginning from two years from now, so Derek will deposit 11546 at the beginning of year-3 | ||||||||||||
Derek will make the deposit and withdrawals 7 times during the period thereafter no deposits & withdrawls will be there | ||||||||||||
Year | Balance at the beginning of the period (A) | Deposit at the beginning of the year( B ) | Withdrawl at the beginning of the year( C ) | Balance available for investment (D)= (A+B-C) | Interest @ 4% (D*4%) (E) | Balance at the end of the period (D-E) | ||||||
1 | 11,546 | - | - | 11,546 | 462 | 12,008 | ||||||
2 | 12,008 | - | 5,196 | 6,812 | 272 | 7,084 | ||||||
3 | 7,084 | 11,546 | - | 18,630 | 745 | 19,376 | ||||||
4 | 19,376 | - | 5,196 | 14,180 | 567 | 14,747 | ||||||
5 | 14,747 | 11,546 | - | 26,293 | 1,052 | 27,344 | ||||||
6 | 27,344 | - | 5,196 | 22,148 | 886 | 23,034 | ||||||
7 | 23,034 | 11,546 | - | 34,580 | 1,383 | 35,964 | ||||||
8 | 35,964 | - | 5,196 | 30,768 | 1,231 | 31,998 | ||||||
9 | 31,998 | 11,546 | - | 43,544 | 1,742 | 45,286 | ||||||
10 | 45,286 | - | 5,196 | 40,090 | 1,604 | 41,694 | ||||||
11 | 41,694 | 11,546 | - | 53,240 | 2,130 | 55,369 | ||||||
12 | 55,369 | - | 5,196 | 50,173 | 2,007 | 52,180 | ||||||
13 | 52,180 | 11,546 | - | 63,726 | 2,549 | 66,275 | ||||||
14 | 66,275 | - | 5,196 | 61,079 | 2,443 | 63,522 | ||||||
15 | 63,522 | 11,546 | - | 75,068 | 3,003 | 78,071 | ||||||
16 | 78,071 | - | - | 78,071 | 3,123 | 81,194 | ||||||
17 | 81,194 | - | - | 81,194 | 3,248 | 84,442 | ||||||
18 | 84,442 | - | - | 84,442 | 3,378 | 87,819 | ||||||
19 | 87,819 | - | - | 87,819 | 3,513 | 91,332 | ||||||
20 | 91,332 | - | - | 91,332 | 3,653 | 94,985 | ||||||
21 | 94,985 | - | - | 94,985 | 3,799 | 98,785 |
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