Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $899,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $27,500 a year. (She expects that Social Security will pay her an additional $17,000 a year.) She currently has $4,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company's 401(k) plan over the next 30 years in order to reach her retirement income goal? Use Exhibit 1-A (Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.) i....................... 401(k) accumulation

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $899,000 in her total retirement nest
egg by the time she is 65 in order to have retirement income of $27,500 a year. (She expects that Social Security will pay her an
additional $17,000 a year.) She currently has $4,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will
grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have
to accumulate in her company's 401(k) plan over the next 30 years in order to reach her retirement income goal? Use Exhibit 1-A
(Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.)
401(k) accumulation
Transcribed Image Text:Janine is 35 and has a good job at a biotechnology company. Janine estimates that she will need $899,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $27,500 a year. (She expects that Social Security will pay her an additional $17,000 a year.) She currently has $4,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 9 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company's 401(k) plan over the next 30 years in order to reach her retirement income goal? Use Exhibit 1-A (Round time value factor to 3 decimal places. Round intermediate and final answer to 2 decimal places.) 401(k) accumulation
Exhibit 1-A Future value (compounded sum) of $1 after a given number of time periods
Period
5%
1.050
1%
1.010
1.020
1.030
2%
1.020
1.040
1.061
4%
1.040
6%
1.060
1.124
3%
7%
8%
9%
10%
11%
1.030
1.061
1.093
1.126
1.159
1.090
1.188
1.295
1.412
1.539
1.677
1.828
1.080
1.166
1
1.070
1.100
1.110
1.145
1.210
1.331
1.232
1.368
1.082
1.103
1.158
1.216
1.276
3
1.125
1.191
1.225
1.260
1.170
1.217
1.262
1.338
1.041
1.082
1.311
1.360
1.464
1.518
1.051
1.403
1.104
1.126
1.149
1.469
1.611
1.772
1.949
1.685
1.870
2.076
2.305
2.558
6.
1.062
1.194
1.265
1.340
1.419
1.501
1.587
1.072
1.230
1.316
1.407
1.504
1.606
1.714
8
1.083
1.172
1.267
1.369
1.477
1.594
1.718
1.851
1.993
2.144
1.094
1.105
1.116
1.195
1.219
1.243
2.172
2.367
2.580
2.813
3.066
3.342
3.642
3.970
4.328
4.717
5.142
5.604
8.623
2.358
2.594
2.853
3.138
3.452
1.305
1.423
1.551
1.689
1.838
1.999
1.344
1.629
1.710
10
1.480
1.791
1.967
2.159
2.839
11
1.539
2.105
2.332
2.518
2.720
2.937
3.172
3.426
3.700
3.996
4.316
1.384
1.898
3.152
12
1.127
1.268
1.426
1.601
1.796
2.012
2.252
3.498
13
1.294
1.469
1.886
2.133
2.410
2.579
2.759
2.952
3.159
3.883
4.310
4.785
5.311
5.895
1.138
1.665
14
1.149
1.319
1.513
1.732
1.980
2.261
3.797
1.558
1.605
1.653
1.702
1.754
1.806
2.079
2.183
2.292
15
1.346
1.801
2.397
2.540
1.161
4.177
16
1.173
1.373
1.873
4.595
17
1.400
1.948
2.026
2.107
1.184
2.693
5.054
1.428
1.457
18
1.196
2.407
2.854
3.380
5.560
6.544
1.208
3.617
3.870
6.116
6.727
7.263
8.062
19
2.527
3.026
20
1.220
1.486
2.191
2.653
3.207
4.661
25
2.666
3.243
5.427
6.848
10.835
17.449
1.282
1.641
2.094
3.386
4.292
13.585
30
1.348
1.811
2.427
4.322
5.743
7.612
10.063
13.268
22.892
45.259
117.391
65.001
184.565
7.040
1.489
1.645
2.208
2.692
14.974
29.457
21.725
46.902
31.409
74.358
40
3.262
4.801
10.286
50
4.384
7.107
11.467
18.420
Period
12%
13%
14%
15%
16%
17%
1.170
1.369
1.602
18%
19%
20%
25%
30%
1.120
1.254
1.130
1.277
1.443
1.140
1.150
1.180
1.392
1.643
1.200
1.250
1.563
1.953
2.441
1
1.160
1.190
1.300
2
1.323
1.521
1.749
1.346
1.561
1.300
1.416
1.440
1.690
1.685
1.482
1.689
1.925
2.195
1.728
2.074
2.488
2.197
2.856
3.713
3
1.405
1.574
1.762
1.630
1.842
2.082
2.353
2.658
3.004
3.395
3.836
4
1.811
1.874
1.939
2.005
2.100
2.386
2.840
3.379
4.021
4.785
2.011
2.192
2.288
3.052
2.986
3.583
2.313
2.660
3.059
3.518
4.046
4.652
5.350
2.700
3.185
3.759
4.435
5.234
6.176
6.
1.974
2.436
2.565
3.815
4.827
2.211
3.001
4.768
5.960
7.451|
2.502
2.826
6.275
2.476
2.773
3.106
8.157
4.300
5.160
8.
2.853
3.278
3.511
3.252
3.803
4.108
10.604
9.313
11.642
13.786
17,922
23.298
30.288
39.374
10
3.707
4.411
4.807
5.695
6.192
4.226
4.818
5.492
7.430
8.916
10.699
12.839
15.407
11
3.479
5.117
5.624
6.777
12
3.896
4.335
5.936
6.580
7.288
8.064
14.552
4.363
7.699
4.898
5.535
8.599
10.147
11.974
18.190
22.737
28.422
6.153
6.886
9.596
11.420
13.590
13
4.887
5.474
14
6.261
7.076
7.988
9.007
15
10.539
12.330
6.254
7.138
8.137
9.266
51.186
7.067
9.358
10.748
12.468
14.463
16.777
19.461
40.874
85.850
378.721
1670.704
16
6.130
8.137
14.129
16.172
18.488
35.527
66.542
9.276
10.575
12.056
19.244
22.186
86.504
6.866
7.690
44.409
55.511
69.389
86.736
264.698
17
7.986
10.761
14.426
16.672
18
9.024
10.197
12.375
14.232
16.367
16.879
19.748
23.106
50.658
19.673
23.214
27.393
22.901
26.623
112.455
27.252
8.613
9.646
31.948
38.338
95.396
19
146.192
20
11.523
13.743
32.429
190.050
26.462
50.950
25
17.000
21.231
32.919
62.669
77.388
705.641
29.960
93.051
289.002
39.116
132.782
450.736
66.212
267.864
1083.657
111.065
533.869
2566.215
184.675
1051.668
5988.914
2619.996
36118.865
30
143.371
237.376
807.794
188.884
700.233
750.378
3927.357
1469.772
9100.438
7523.164
70064.923
40
50
497929.223
Transcribed Image Text:Exhibit 1-A Future value (compounded sum) of $1 after a given number of time periods Period 5% 1.050 1% 1.010 1.020 1.030 2% 1.020 1.040 1.061 4% 1.040 6% 1.060 1.124 3% 7% 8% 9% 10% 11% 1.030 1.061 1.093 1.126 1.159 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.080 1.166 1 1.070 1.100 1.110 1.145 1.210 1.331 1.232 1.368 1.082 1.103 1.158 1.216 1.276 3 1.125 1.191 1.225 1.260 1.170 1.217 1.262 1.338 1.041 1.082 1.311 1.360 1.464 1.518 1.051 1.403 1.104 1.126 1.149 1.469 1.611 1.772 1.949 1.685 1.870 2.076 2.305 2.558 6. 1.062 1.194 1.265 1.340 1.419 1.501 1.587 1.072 1.230 1.316 1.407 1.504 1.606 1.714 8 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993 2.144 1.094 1.105 1.116 1.195 1.219 1.243 2.172 2.367 2.580 2.813 3.066 3.342 3.642 3.970 4.328 4.717 5.142 5.604 8.623 2.358 2.594 2.853 3.138 3.452 1.305 1.423 1.551 1.689 1.838 1.999 1.344 1.629 1.710 10 1.480 1.791 1.967 2.159 2.839 11 1.539 2.105 2.332 2.518 2.720 2.937 3.172 3.426 3.700 3.996 4.316 1.384 1.898 3.152 12 1.127 1.268 1.426 1.601 1.796 2.012 2.252 3.498 13 1.294 1.469 1.886 2.133 2.410 2.579 2.759 2.952 3.159 3.883 4.310 4.785 5.311 5.895 1.138 1.665 14 1.149 1.319 1.513 1.732 1.980 2.261 3.797 1.558 1.605 1.653 1.702 1.754 1.806 2.079 2.183 2.292 15 1.346 1.801 2.397 2.540 1.161 4.177 16 1.173 1.373 1.873 4.595 17 1.400 1.948 2.026 2.107 1.184 2.693 5.054 1.428 1.457 18 1.196 2.407 2.854 3.380 5.560 6.544 1.208 3.617 3.870 6.116 6.727 7.263 8.062 19 2.527 3.026 20 1.220 1.486 2.191 2.653 3.207 4.661 25 2.666 3.243 5.427 6.848 10.835 17.449 1.282 1.641 2.094 3.386 4.292 13.585 30 1.348 1.811 2.427 4.322 5.743 7.612 10.063 13.268 22.892 45.259 117.391 65.001 184.565 7.040 1.489 1.645 2.208 2.692 14.974 29.457 21.725 46.902 31.409 74.358 40 3.262 4.801 10.286 50 4.384 7.107 11.467 18.420 Period 12% 13% 14% 15% 16% 17% 1.170 1.369 1.602 18% 19% 20% 25% 30% 1.120 1.254 1.130 1.277 1.443 1.140 1.150 1.180 1.392 1.643 1.200 1.250 1.563 1.953 2.441 1 1.160 1.190 1.300 2 1.323 1.521 1.749 1.346 1.561 1.300 1.416 1.440 1.690 1.685 1.482 1.689 1.925 2.195 1.728 2.074 2.488 2.197 2.856 3.713 3 1.405 1.574 1.762 1.630 1.842 2.082 2.353 2.658 3.004 3.395 3.836 4 1.811 1.874 1.939 2.005 2.100 2.386 2.840 3.379 4.021 4.785 2.011 2.192 2.288 3.052 2.986 3.583 2.313 2.660 3.059 3.518 4.046 4.652 5.350 2.700 3.185 3.759 4.435 5.234 6.176 6. 1.974 2.436 2.565 3.815 4.827 2.211 3.001 4.768 5.960 7.451| 2.502 2.826 6.275 2.476 2.773 3.106 8.157 4.300 5.160 8. 2.853 3.278 3.511 3.252 3.803 4.108 10.604 9.313 11.642 13.786 17,922 23.298 30.288 39.374 10 3.707 4.411 4.807 5.695 6.192 4.226 4.818 5.492 7.430 8.916 10.699 12.839 15.407 11 3.479 5.117 5.624 6.777 12 3.896 4.335 5.936 6.580 7.288 8.064 14.552 4.363 7.699 4.898 5.535 8.599 10.147 11.974 18.190 22.737 28.422 6.153 6.886 9.596 11.420 13.590 13 4.887 5.474 14 6.261 7.076 7.988 9.007 15 10.539 12.330 6.254 7.138 8.137 9.266 51.186 7.067 9.358 10.748 12.468 14.463 16.777 19.461 40.874 85.850 378.721 1670.704 16 6.130 8.137 14.129 16.172 18.488 35.527 66.542 9.276 10.575 12.056 19.244 22.186 86.504 6.866 7.690 44.409 55.511 69.389 86.736 264.698 17 7.986 10.761 14.426 16.672 18 9.024 10.197 12.375 14.232 16.367 16.879 19.748 23.106 50.658 19.673 23.214 27.393 22.901 26.623 112.455 27.252 8.613 9.646 31.948 38.338 95.396 19 146.192 20 11.523 13.743 32.429 190.050 26.462 50.950 25 17.000 21.231 32.919 62.669 77.388 705.641 29.960 93.051 289.002 39.116 132.782 450.736 66.212 267.864 1083.657 111.065 533.869 2566.215 184.675 1051.668 5988.914 2619.996 36118.865 30 143.371 237.376 807.794 188.884 700.233 750.378 3927.357 1469.772 9100.438 7523.164 70064.923 40 50 497929.223
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