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In: Finance

Derek currently has $11,546.00 in an account that pays 4.00%. He will withdraw $5,196.00 every other...

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?

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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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