Question

In: Finance

1. Derek wants to withdraw $13,105.00 from his account 6.00 years from today and $12,140.00 from...

1. Derek wants to withdraw $13,105.00 from his account 6.00 years from today and $12,140.00 from his account 14.00 years from today. He currently has $3,215.00 in the account. How much must he deposit each year for the next 14.0 years? Assume a 6.63% interest rate. His account must equal zero by year 14.0 but may be negative prior to that.

Answer Format: Currency: Round to: 2 decimal places.

2.
Derek currently has $14,133.00 in an account that pays 5.00%. He will withdraw $5,997.00 every other year beginning next year until he has taken 6.00 withdrawals. He will deposit $14133.0 every other year beginning two years from today until he has made 6.0 deposits. How much will be in the account 26.00 years from today?
Answer Format: Currency: Round to: 2 decimal places.

Solutions

Expert Solution

Question 1
year OPENING CASH FLOW AMT COMPUND RATE CLOSING BAL
1 3215 869.48 4084.48 1.10663      4,520.01
2 4520.008 869.48 5389.488 1.10663      5,964.17
3 5964.169 869.48 6833.649 1.10663      7,562.32
4 7562.321 869.48 8431.801 1.10663      9,330.88
5 9330.884 869.48 10200.36 1.10663    11,288.03
6 11288.03 869.48 12157.51 1.10663    13,453.86
6 13453.86 -13105 348.8642 1.10663          386.06
7 386.0636 869.48 1255.544 1.10663      1,389.42
8 1389.422 869.48 2258.902 1.10663      2,499.77
9 2499.769 869.48 3369.249 1.10663      3,728.51
10 3728.512 869.48 4597.992 1.10663      5,088.28
11 5088.276 869.48 5957.756 1.10663      6,593.03
12 6593.031 869.48 7462.511 1.10663      8,258.24
13 8258.239 869.48 9127.719 1.10663    10,101.01
14 10101.01 869.48 10970.49 1.10663    12,140.27
14 12140.27 -12140 0.270754
Question 2
year OPENING CASH inFLOW CASH outFLOW AMT COMPUND RATE CLOSING BAL
1 14133 14133 1.05         14,839.65
2 14839.65 -5997 8842.65 1.05           9,284.78
3 9284.783 14133 -5997 17420.78 1.05         18,291.82
4 18291.82 14133 -5997 26427.82 1.05         27,749.21
5 27749.21 14133 -5997 35885.21 1.05         37,679.47
6 37679.47 14133 -5997 45815.47 1.05         48,106.25
7 48106.25 14133 -5997 56242.25 1.05         59,054.36
8 59054.36 14133 73187.36 1.05         76,846.73
9 76846.73 76846.73 1.05         80,689.06
10 80689.06 80689.06 1.05         84,723.52
11 84723.52 84723.52 1.05         88,959.69
12 88959.69 88959.69 1.05         93,407.68
13 93407.68 93407.68 1.05         98,078.06
14 98078.06 98078.06 1.05     1,02,981.96
15 102982 102982 1.05     1,08,131.06
16 108131.1 108131.1 1.05     1,13,537.62
17 113537.6 113537.6 1.05     1,19,214.50
18 119214.5 119214.5 1.05     1,25,175.22
19 125175.2 125175.2 1.05     1,31,433.98
20 131434 131434 1.05     1,38,005.68
21 138005.7 138005.7 1.05     1,44,905.97
22 144906 144906 1.05     1,52,151.26
23 152151.3 152151.3 1.05     1,59,758.83
24 159758.8 159758.8 1.05     1,67,746.77
25 167746.8 167746.8 1.05     1,76,134.11
26 176134.1 176134.1 1.05     1,84,940.81

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