Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan. This means that 45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals without proper income during retirement. Jill Collins, 25, decided she needs to have $350,000 in her retirement account upon retiring at 60. How much does she need to invest each year at 4% compounded annually to meet her goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest dollar amount.)
Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan. This means that 45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals without proper income during retirement. Jill Collins, 25, decided she needs to have $350,000 in her retirement account upon retiring at 60. How much does she need to invest each year at 4% compounded annually to meet her goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to the nearest dollar amount.)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question

Transcribed Image Text:es
Period
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
43
44
45
45
47
48
49
7.5 %
Sinking fund factor of $1 per period at i% for n periods.
0.5% 1.0% 1.5% 20% 2.5% 3.0% 3.5% 4.0 % 4.5% 5.0% 55% 6.0% 6.5% 7.0 %
8.0 % 8.5 % 9.0 % 9.5 % 10.0%
1.0000 1.0000 10000 10000 10000 10000 10000 10000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
0.4988 0.4975 0.4963 0.4950 0.4938 0.4926 0.4914 0.4902 0.4890 0.4878 0.4866 0.4854 0.4843 0.4831 0.4819 0.4808 0.4796 0.4785 0.4773 0.4762
0.3317 0.3300 0.3284 0.3268 0.3251 0.3235 0.3219 0.3203 0.3188 0.3172 0.3157 0.3141 0.3126 0.3111 0.3095 0.3080 0.3065 0.3051 0.3036 0.3021
0.2481 0.2463 0.2444 0.2426 0.2408 0.2390 0.2373 0.2355 0.2337 0.2320 0.2303 0.2286 0.2269 0.2252 0.2236 0.2219 0.2203 0.2187 0.2171 0.2155
0.1980 0.1960 0.1941 0.1922 0.1902 0.1884 0.1865 0.1846 0.1828 0.1810 0.1792 0.1774 0.1756 0.1739 0.1722 0.1705 0.1688 0.1671 0.1654 0.1638
0.1646 0.1625 0.1605 0.1585 0.1565 0.1546 0.1527 0.1508 0.1489 0.1470 0.1452 0.1434 0.1416 0.1398 0.1380 0.1363 0.1346 0.1329 0.1313 0.1296
0.1407 0.1386 0.1366 0.1345 0.1325 0.1305 0.1285 0.1266 0.1247 0.1228 0.1210 0.1191 0.1173 0.1156 0.1138 0.1121 0.1104 0.1087 0.1070 0.1054
0.1228 0.1207 0.1186 0.1165 0.1145 0.1125 0.1105 0.1085 0.1066 0.1047 0.1029 0.1010 0.0992 0.0975 0.0957 0.0940 0.0923 0.0907 0.0890 0.0874
0.1089 0.1067 0.1046 0.1025 0.1005 0.0984 0.0964 0.0945 0.0926 0.0907 0.0888 0.0870 0.0852 0.0835 0.0818 0.0801 0.0784 0.0768 0.0752 0.0736
0.0978 0.0956 0.0934 0.0913 0.0893 0.0872 0.0852 0.0833 0.0814 0.0795 0.0777 0.0759 0.0741 0.0724 0.0707 0.0690 0.0674 0.0658 0.0643 0.0627
0.0887 0.0865 0.0843 0.0822 0.0801 0.0781 0.0761 0.0741 0.0722 0.0704 0.0686 0.0668 0.0651 0.0634 0.0617 0.0601 0.0585 0.0569 0.0554 0.0540
0.0811 0.0788 0.0767 0.0746 0.0725 0.0705 0.0685 0.0666 0.0647 0.0628 0.0610 0.0593 0.0576 0.0559 0.0543 0.0527 0.0512 0.0497 0.0482 0.0468
0.0745 0.0724 0.0702 0.0681 0.0660 0.0640 0.0621 0.0601 0.0583 0.0565 0.0547 0.0530 0.0513 0.0497 0.0481 0.0465 0.0450 0.0436 0.0422 0.0408
0.0691 0.0669 0.0647 0.0626 0.0605 0.0585 0.0566 0.0547 0.0528 0.0510 0.0493 0.0476 0.0459 0.0443 0.0428 0.0413 0.0398 0.0384 0.0371 0.0357
0.0644 0.0621 0.0599 0.0578 0.0558 0.0538 0.0518 0.0499 0.0481 0.0463 0.0446 0.0430 0.0414 0.0398 0.0383 0.0368 0.0354 0.0341 0.0327 0.0315
0.0602 0.0579 0.0558 0.0537 0.0516 0.0496 0.0477 0.0458 0.0440 0.0423 0.0406 0.0390 0.0374 0.0359 0.0344 0.0330 0.0316 0.0303 0.0290 0.0278
0.0565 0.0543 0.0521 0.0500 0.0479 0.0460 0.0440 0.0422 0.0404 0.0387 0.0370 0.0354 0.0339 0.0324 0.0310 0.0296 0.0283 0.0270 0.0258 0.0247
0.0532 0.0510 0.0488 0.0467 0.0447 0.0427 0.0408 0.0390 0.0372 0.0355 0.0339 0.0324 0.0309 0.0294 0.0280 0.0267 0.0254 0.0242 0.0230 0.0219
0.0503 0.0481 0.0459 0.0438 0.0418 0.0398 0.0379 0.0361 0.0344 0.0327 0.0312 0.0296 0.0282 0.0268 0.0254 0.0241 0.0229 0.0217 0.0206 0.0195
0.0477 0.0454 0.0432 0.0412 0.0391 0.0372 0.0354 0.0336 0.0319 0.0302 0.0287 0.0272 0.0258 0.0244 0.0231 0.0219 0.0207 0.0195 0.0185 0.0175
0.0453 0.0430 0.0409 0.0388 0.0368 0.0349 0.0330 0.0313 0.0296 0.0280 0.0265 0.0250 0.0236 0.0223 0.0210 0.0198 0.0187 0.0176 0.0166 0.0156
0.0431 0.0409 0.0387 0.0366 0.0346 0.0327 0.0309 0.0292 0.0275 0.0260 0.0245 0.0230 0.0217 0.0204 0.0192 0.0180 0.0169 0.0159 0.0149 0.0140
0.0411 0.0389 0.0367 0.0347 0.0327 0.0308 0.0290 0.0273 0.0257 0.0241 0.0227 0.0213 0.0200 0.0187 0.0175 0.0164 0.0154 0.0144 0.0134 0.0126
0.0393 0.0371 0.0349 0.0329 0.0309 0.0290 0.0273 0.0256 0.0240 0.0225 0.0210 0.0197 0.0184 0.0172 0.0161 0.0150 0.0140 0.0130 0.0121 0.0113
0.0377 0.0354 0.0333 0.0312 0.0293 0.0274 0.0257 0.0240 0.0224 0.0210 0.0195 0.0182 0.0170 0.0158 0.0147 0.0137 0.0127 0.0118 0.0110 0.0102
0.0361 0.0339 0.0317 0.0297 0.0278 0.0259 0.0242
0.0210 0.0196 0.0182 0.0169 0.0157 0.0146 0.0135 0.0125 0.0116 0.0107 0.0099 0.0092
0.0170 0.0157 0.0145 0.0134 0.0124
0.0158 0.0146 0.0135
0.0347 0.0324 0.0303 0.0283 0.0264 0.0246 0.0229
00334 0.0311 0.0290 0.0270 0.0251 0.0233 0.0216
0.0185
0.0321 0.0299 0.0278 0.0258
0.0310 0.0287 0.0266 0.0246 0.0226
0.0299 0.0277 0.0256 0.0236
0221 0.0204 0.0189 0.0174 0.0160 0.0148 0.0136 0.0125
0.0210 0.0194 0.0178 0.0164
0.0138 0.0126 0.0116
0.0200 0.0184 0.0169 0.0154 0.0141 0.0129 0.0118 0.0108
0.0190 0.0174
0.0182 0.0166
0.0289 0.0267 0.0246 0.0226
0.0110 0.0100
0.0279 0.0257 0.0236 0.0217 0.0199
0.0146 0.0133
0.0137 0.0125
0.0106 0.0097 0.0090 0.0083
0089 0.0081 0.0075
0.0088 0.0081 0.0074 0.0067
0.0081 0.0073 0.0067 0.0061
0.0074 0.0067 0.0061 0.0055
0.0067 0.0061 0.0055 0.0050
0.0062 0.0056 0.0050 0.0045
0.0063 0.0057 0.0051 0.0045 0.0041
0058 0.0052 0.0046 0.0041 0.0037
0053 0.0048 0.0042 0.0038 0.0033
0.0055 0.0049 0.0044 0.0039 0.0034 0.0030
0.0051 0.0045 0.0040 0.0035 0.0031 0.0027
0.0048 0.0042 0.0037 0.0032 0.0028 0.0025
0.0271 0.0248 0.0228 0.0208
0.0262 0.0240 0.0219 0.0200 0.0182
0.0254 0.0232 0.0212 0.0192 0.0175 0.0158 0.0143 0.0129
0.0050 0.0044 0.0039 0.0034 0.0030 0.0026 0.0023
0.0047 0.0041 0.0036 0.0031 0.0027 0.0024 0.0020
0.0043 0.0038 0.0033 0.0029 0.0025 0.0021 0.0019
0.0046 0.0040 0.0035 0.0030 0.0026 0.0023 0.0020 0.0017
0.0043 0.0038 0032 0.0028 0.0024 0.0021 0.0018 0.0015
0.0041 0.0035
0.0194 0.0172 0.0153 00135 0.0118 00104 0.0091 0.0079
0.0026 0.0022 0.0019 0.0016 0.0014
0.0038 0.0033 0.0028
0.0189 0.0168 0.0148 0.0130 0.0114 0.0100 0.0087 0.0075 0.0065 0.0056 0.0048
0.0024 0.0020 0.0017 0.0015 0.0013
0.0041 0.0036
0.0185 0.0163 0.0144 0.0126 0.0110 0.0096 0.0083
0026 0.0022 0.0019 0.0016 0.0014 0.0011
0.0062 0.0053 0.0046 0.0039 0.0033 0.0028 0.0024
0.0181 0.0159 0.0140 0.0122 0.0106 0.0092 0.0080 0.0069 0.0059 0.0050 0.0043 0.0037 0.0031 0.0026 0.0022 0.0019 0.0016 0.0013 0.0011 0.0009
0.0020 0.0017 0.0015 0.0012 0.0010
00177 00155 0.0136 00118 00103 0 0089 0 0076 00066 00056 0.0048 0.0041 0.0034 0.0029 00025 0.0021 0.0017 00015 0.0012 0.0010 0.0009
0173 0.0158 0.0143 00130
0.0165 0.0150 0.0136 0.0123
0.0247 0.0225 0.0204 0.0185 0.0167 0.0151 0.0136
0.0240 0.0218 0.0197 0.0178 0.0161 0.0145 0.0130
0.0233 0.0211 0.0191 0.0172 0.0154 0.0138
0.0226 0.0205 0.0184 0.0166 0.0148 0.0133 0.0118 0.010
0.0220 00199 0.0178 0.0160 0.0143 0.0127 0.0113
0.0215 0.0193 0.0173 0.0154 0.0137 0.0122 0.0108
0.0209 0.0187 0.0167 0.0149 0.0132 0.0117 0.0103 0.0091
0.0127 0.0112 0.0099 0.0087 0.0076
0.0123 0.0108 0.0095
0.0204 0.0182 0.0162 0.0144
0.0199 0.0177 0.0157 0.0139
Each year investment
0080 0.0070
0.0072 0.0063
0.0070
0.0065
0.0075 0.0067 0.0060
0090 0.0081
Bankrate.com reported on a shocking statistic: only 55% of workers participate in their company's retirement plan.
This means that 45% do not. With such an uncertain future for Social Security, this can leave almost 1 in 2 individuals
without proper income during retirement. Jill Collins, 25, decided she needs to have $350,000 in her retirement
account upon retiring at 60. How much does she need to invest each year at 4% compounded annually to meet her
goal? (Please use the following provided Table.) (Do not round intermediate calculations. Round your answer to
the nearest dollar amount.)
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