Shaylea, age​ 22, just started working full-time and plans to deposit ​$4,500 annually into an IRA, earning 7 percent interest compounded annually. How much would she have in 20 ​years, 30 ​years, and 40 ​years? If she changed her investment period and instead invested ​$375.00 ​monthly, and the investment also changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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Shaylea, age​ 22, just started working full-time and plans to deposit ​$4,500 annually into an IRA, earning 7 percent interest compounded annually. How much would she have in 20 ​years, 30 ​years, and 40 ​years? If she changed her investment period and instead invested ​$375.00 ​monthly, and the investment also changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time.

 

Shaylea, age 22, just started working full-time and plans to deposit $4,500 annually into an IRA earning 7 percent interest compounded annually. How much would she have in 20 years, 30 years, and 40 years? If she changed her investment period and instead invested $375.00 monthly, and the investment also
changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time.
Click the table icon to view the future value FVIFA table:
With annual investments and compounding, after 20 years, Shaylea would have $
(Round to the nearest cent.)
Data table
(Click on the following icon
n
1
2
3
4
5
6
7
8
9
10
11
12
13
14
in order to copy its contents into a spreadsheet.)
Future Value of a Series of Annual Deposits (annuity), Future-Value Interest Factor of an Annuity
3%
4%
7%
8%
9%
10%
11%
1.000
1.000
2.030
3.091
4.184
5%
1.000
2.050
3.153
6%
1.000
2.060
3.184
1.000
2.040
3.122
4.246
5.416
6.633
1.000
2.070
3.215
4.440
1.000
2.090
3.278
4.573
5.985
2.100
3.310
4.641
1.000
2.110
3.342
4.710
3.374
4.779
4.310
4.375
5.526
5.637
5.751
6.353
8.115
6.802
6.975
7.898
8.142
8.394
9.549
5.309
6.468
7.662
8.892 9.214
10.159 10.583
11.464 12.006
12.808 13.486
15.026
16.627
11.027
10.089
12.300
14.776
17.549
20.655
24.133
28.029
14.192
15.618
32.393
1.000
2.080
3.246
4.506
5.867
6.105 6.228
7.153 7.336 7.523 7.716 7.913
8.654
8.923 9.200
9.487
9.783
9.897 10.260 10.637 11.028 11.436 11.859
11.491 11.978 12.488 13.021 13.579 14.164
12.578 13.181 13.816 14.487 15.193 15.937 16.722
14.207
14.972 15.784 16.645 17.560 18.531 19.561
15.917 16.870 17.888 18.977 20.141 21.384 22.713
17.713 18.882 20.141 21.495 22.953 24.523 26.212
17.086 18.292 19.599 21.015 22.550 24.215 26.019 27.975 30.095
18.599 20.024
21.579 23.276
25.129
27.152 29.361
31.772 34.405
20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.950 39.190
21.762 23.698 25.840 28.213 30.840 33.750 36.974 40.545 44.501
23.414 25.645 28.132 30.906
33.999 37.450 41.301 45.599 50.396
25.117 27.671 30.539 33.760 37.379 41.446 46.018 51.159
56.939
26.870 29.778
33.066 36.786 40.995 45.762 51.160 57.275 64.203
28.676 31.969 35.719 39.993
44.865 50.423 56.765 64.002 72.265
81.699
30.537 34.248 38.505 43.392 49.006 55.457 62.873
71.403 81.214 92.503
32.453 36.618 41.430 46.996 53.436 60.893 69.532 79.543 91.148 104.603
34.426 39.083 44.502 50.816 58.177 66.765 76.790 88.497 102.174 118.155
36.459 41.646 47.727 54.865 63.249 73.106 84.701 98.347 114.413 133.334
47.575 56.085 66.439 79.058 94.461
113.283 136.308 164.494 199.021 241.333
75.401
95.026 120.800 154.762 199.635 259.057 337.882 442.593 581.826
112.797 152.667 209.348 290.336 406.529 573.770 815.084 1163.909 1668.771
37.280
42.753
48.884
55.750
63.440
72.052
767.091
2400.018
15
16
17
18
19
20
21
22
23
24
25
30
40
50
12%
1.000
2.120
X
Transcribed Image Text:Shaylea, age 22, just started working full-time and plans to deposit $4,500 annually into an IRA earning 7 percent interest compounded annually. How much would she have in 20 years, 30 years, and 40 years? If she changed her investment period and instead invested $375.00 monthly, and the investment also changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time. Click the table icon to view the future value FVIFA table: With annual investments and compounding, after 20 years, Shaylea would have $ (Round to the nearest cent.) Data table (Click on the following icon n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 in order to copy its contents into a spreadsheet.) Future Value of a Series of Annual Deposits (annuity), Future-Value Interest Factor of an Annuity 3% 4% 7% 8% 9% 10% 11% 1.000 1.000 2.030 3.091 4.184 5% 1.000 2.050 3.153 6% 1.000 2.060 3.184 1.000 2.040 3.122 4.246 5.416 6.633 1.000 2.070 3.215 4.440 1.000 2.090 3.278 4.573 5.985 2.100 3.310 4.641 1.000 2.110 3.342 4.710 3.374 4.779 4.310 4.375 5.526 5.637 5.751 6.353 8.115 6.802 6.975 7.898 8.142 8.394 9.549 5.309 6.468 7.662 8.892 9.214 10.159 10.583 11.464 12.006 12.808 13.486 15.026 16.627 11.027 10.089 12.300 14.776 17.549 20.655 24.133 28.029 14.192 15.618 32.393 1.000 2.080 3.246 4.506 5.867 6.105 6.228 7.153 7.336 7.523 7.716 7.913 8.654 8.923 9.200 9.487 9.783 9.897 10.260 10.637 11.028 11.436 11.859 11.491 11.978 12.488 13.021 13.579 14.164 12.578 13.181 13.816 14.487 15.193 15.937 16.722 14.207 14.972 15.784 16.645 17.560 18.531 19.561 15.917 16.870 17.888 18.977 20.141 21.384 22.713 17.713 18.882 20.141 21.495 22.953 24.523 26.212 17.086 18.292 19.599 21.015 22.550 24.215 26.019 27.975 30.095 18.599 20.024 21.579 23.276 25.129 27.152 29.361 31.772 34.405 20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.950 39.190 21.762 23.698 25.840 28.213 30.840 33.750 36.974 40.545 44.501 23.414 25.645 28.132 30.906 33.999 37.450 41.301 45.599 50.396 25.117 27.671 30.539 33.760 37.379 41.446 46.018 51.159 56.939 26.870 29.778 33.066 36.786 40.995 45.762 51.160 57.275 64.203 28.676 31.969 35.719 39.993 44.865 50.423 56.765 64.002 72.265 81.699 30.537 34.248 38.505 43.392 49.006 55.457 62.873 71.403 81.214 92.503 32.453 36.618 41.430 46.996 53.436 60.893 69.532 79.543 91.148 104.603 34.426 39.083 44.502 50.816 58.177 66.765 76.790 88.497 102.174 118.155 36.459 41.646 47.727 54.865 63.249 73.106 84.701 98.347 114.413 133.334 47.575 56.085 66.439 79.058 94.461 113.283 136.308 164.494 199.021 241.333 75.401 95.026 120.800 154.762 199.635 259.057 337.882 442.593 581.826 112.797 152.667 209.348 290.336 406.529 573.770 815.084 1163.909 1668.771 37.280 42.753 48.884 55.750 63.440 72.052 767.091 2400.018 15 16 17 18 19 20 21 22 23 24 25 30 40 50 12% 1.000 2.120 X
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