After graduation, you plan to work for 15 years and then visit Austr.pdf

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After graduation, you plan to work for 15 years and then visit Australia. You expect to save $2,000 a year for the first 5 years and $3,000 annually for the next 10 years. These savings cash flows will start in one year. In addition, your family has just given you a $6,000 graduation gift. If your gift and all future contributions are put into an account that pays 12% compounded annually, what will your financial “stake” be when you leave for Australia 15 years from now? Solution Year Savings Gift Interest compounded annually Value 15years from now 1 2000 6000 =8000*(1+0.12)15 = 43788.53 2 2000 = 2000* (1+0.12)14 = 9774.225 3 2000 = 2000* (1+0.12)13 = 8726.986 4 2000 = 2000* (1+0.12)12 = 7791.952 5 2000 = 2000* (1+0.12)11 = 6957.1 6 3000 = 3000* (1+0.12)10 = 9317.545 7 3000 = 3000* (1+0.12)9 = 8319.236 8 3000 = 3000* (1+0.12)8 = 7427.89 9 3000 = 3000* (1+0.12)7 = 6632.044 10 3000 = 3000* (1+0.12)6 = 5921.468 11 3000 = 3000* (1+0.12)5 = 5287.025 12 3000 = 3000* (1+0.12)4 = 4720.558 13 3000 = 3000* (1+0.12)3 = 4214.784 14 3000 = 3000* (1+0.12)2 = 3763.2 15 3000 = 3000* (1+0.12)1 = 3360 Value 15years from now 136002 Year Savings Gift Interest compounded annually Value 15years from now 1 2000 6000 =8000*(1+0.12)15 = 43788.53 2 2000 = 2000* (1+0.12)14 = 9774.225 3 2000 = 2000* (1+0.12)13 = 8726.986 4 2000 = 2000* (1+0.12)12 = 7791.952 5 2000 = 2000* (1+0.12)11 = 6957.1 6 3000 = 3000* (1+0.12)10 = 9317.545 7 3000 = 3000* (1+0.12)9 = 8319.236 8 3000 = 3000* (1+0.12)8 = 7427.89 9 3000 = 3000* (1+0.12)7 = 6632.044 10 3000 = 3000* (1+0.12)6 = 5921.468 11 3000 = 3000* (1+0.12)5 = 5287.025 12 3000 = 3000* (1+0.12)4 = 4720.558 13 3000 = 3000* (1+0.12)3 = 4214.784 14 3000 = 3000* (1+0.12)2 = 3763.2 15 3000 = 3000* (1+0.12)1 = 3360 Value 15years from now 136002.

Education

3000
= 3000* (1+0.12)10 =
9317.545
7
3000
= 3000* (1+0.12)9 =
8319.236
8
3000
= 3000* (1+0.12)8 =
7427.89
9
3000
= 3000* (1+0.12)7 =
6632.044
10
3000
= 3000* (1+0.12)6 =
5921.468
11
3000
= 3000* (1+0.12)5 =
5287.025
12
3000
= 3000* (1+0.12)4 =
4720.558
13
3000
= 3000* (1+0.12)3 =
4214.784
14
3000
= 3000* (1+0.12)2 =
3763.2
15

3000
= 3000* (1+0.12)1 =
3360
Value 15years from now
136002
Year
Savings
Gift
Interest compounded annually
Value 15years from now
1
2000
6000
=8000*(1+0.12)15 =
43788.53
2
2000
= 2000* (1+0.12)14 =
9774.225
3
2000
= 2000* (1+0.12)13 =
8726.986
4
2000
= 2000* (1+0.12)12 =
7791.952
5
2000
= 2000* (1+0.12)11 =
6957.1
6
3000
= 3000* (1+0.12)10 =
9317.545
7

3000
= 3000* (1+0.12)9 =
8319.236
8
3000
= 3000* (1+0.12)8 =
7427.89
9
3000
= 3000* (1+0.12)7 =
6632.044
10
3000
= 3000* (1+0.12)6 =
5921.468
11
3000
= 3000* (1+0.12)5 =
5287.025
12
3000
= 3000* (1+0.12)4 =
4720.558
13
3000
= 3000* (1+0.12)3 =
4214.784
14
3000
= 3000* (1+0.12)2 =
3763.2
15
3000
= 3000* (1+0.12)1 =
3360
Value 15years from now

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