Question
In 2023, Nitai (age 40) contributes 8 percent of his $72,000 annual salary to a Roth 401(k) account sponsored by his employer, AY Incorporated. AY
In 2023, Nitai (age 40) contributes 8 percent of his $72,000 annual salary to a Roth 401(k) account sponsored by his employer, AY Incorporated. AY Incorporated matches employee contributions dollar-for-dollar up to 8 percent of the employee's salary. However, AY matches by contributing to the employee's traditional 401(k) account because the employer contributions are not fully vested to the employee at the time of the contribution. Nitai expects to earn a 7 percent before-tax rate of return.
Assume he leaves the contributions in the Roth 401(k) and traditional 401(k) accounts until he retires in 30 years and that he makes no additional contributions to either account. What are Nitai's after-tax proceeds from the Roth 401(k) and traditional 401(k) accounts after he receives the distributions, assuming his marginal tax rate at retirement is 30 percent? (Use Table 1, Table 2.)
Note: Round your intermediate calculations and final answers to the nearest whole dollar amount.
Table 1:
Future Value of $1
n | 1.0% | 2.0% | 3.0% | 3.75% | 4.0% | 4.25% | 5.0% | 6.0% | 7.0% | 8.0% | 9.0% | 10.0% | 11.0% | 12.0% | 13.0% | 14.0% | 15.0% | 20.0% | 25.0% |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.01000 | 1.02000 | 1.03000 | 1.03750 | 1.04000 | 1.04250 | 1.05000 | 1.06000 | 1.07000 | 1.08000 | 1.09000 | 1.10000 | 1.11000 | 1.12000 | 1.13000 | 1.14000 | 1.15000 | 1.20000 | 1.25000 |
2 | 1.02010 | 1.04040 | 1.06090 | 1.07641 | 1.08160 | 1.08681 | 1.10250 | 1.12360 | 1.14490 | 1.16640 | 1.18810 | 1.21000 | 1.23210 | 1.25440 | 1.27690 | 1.29960 | 1.32250 | 1.44000 | 1.56250 |
3 | 1.03030 | 1.06121 | 1.09273 | 1.11677 | 1.12486 | 1.13300 | 1.15763 | 1.19102 | 1.22504 | 1.25971 | 1.29503 | 1.33100 | 1.36763 | 1.40493 | 1.44290 | 1.48154 | 1.52088 | 1.72800 | 1.95313 |
4 | 1.04060 | 1.08243 | 1.12551 | 1.15865 | 1.16986 | 1.18115 | 1.21551 | 1.26248 | 1.31080 | 1.36049 | 1.41158 | 1.46410 | 1.51807 | 1.57352 | 1.63047 | 1.68896 | 1.74901 | 2.07360 | 2.44141 |
5 | 1.05101 | 1.10408 | 1.15927 | 1.20210 | 1.21665 | 1.23135 | 1.27628 | 1.33823 | 1.40255 | 1.46933 | 1.53862 | 1.61051 | 1.68506 | 1.76234 | 1.84244 | 1.92541 | 2.01136 | 2.48832 | 3.05176 |
6 | 1.06152 | 1.12616 | 1.19405 | 1.24718 | 1.26532 | 1.28368 | 1.34010 | 1.41852 | 1.50073 | 1.58687 | 1.67710 | 1.77156 | 1.87041 | 1.97382 | 2.08195 | 2.19497 | 2.31306 | 2.98598 | 3.81470 |
7 | 1.07214 | 1.14869 | 1.22987 | 1.29395 | 1.31593 | 1.33824 | 1.40710 | 1.50363 | 1.60578 | 1.71382 | 1.82804 | 1.94872 | 2.07616 | 2.21068 | 2.35261 | 2.50227 | 2.66002 | 3.58318 | 4.76837 |
8 | 1.08286 | 1.17166 | 1.26677 | 1.34247 | 1.36857 | 1.39511 | 1.47746 | 1.59385 | 1.71819 | 1.85093 | 1.99256 | 2.14359 | 2.30454 | 2.47596 | 2.65844 | 2.85259 | 3.05902 | 4.29982 | 5.96046 |
9 | 1.09369 | 1.19509 | 1.30477 | 1.39281 | 1.42331 | 1.45440 | 1.55133 | 1.68948 | 1.83846 | 1.99900 | 2.17189 | 2.35795 | 2.55804 | 2.77308 | 3.00404 | 3.25195 | 3.51788 | 5.15978 | 7.45058 |
10 | 1.10462 | 1.21899 | 1.34392 | 1.44504 | 1.48024 | 1.51621 | 1.62889 | 1.79085 | 1.96715 | 2.15892 | 2.36736 | 2.59374 | 2.83942 | 3.10585 | 3.39457 | 3.70722 | 4.04556 | 6.19174 | 9.31323 |
11 | 1.11567 | 1.24337 | 1.38423 | 1.49923 | 1.53945 | 1.58065 | 1.71034 | 1.89830 | 2.10485 | 2.33164 | 2.58043 | 2.85312 | 3.15176 | 3.47855 | 3.83586 | 4.22623 | 4.65239 | 7.43008 | 11.64153 |
12 | 1.12683 | 1.26824 | 1.42576 | 1.55545 | 1.60103 | 1.64783 | 1.79586 | 2.01220 | 2.25219 | 2.51817 | 2.81266 | 3.13843 | 3.49845 | 3.89598 | 4.33452 | 4.81790 | 5.35025 | 8.91610 | 14.55192 |
13 | 1.13809 | 1.29361 | 1.46853 | 1.61378 | 1.66507 | 1.71786 | 1.88565 | 2.13293 | 2.40985 | 2.71962 | 3.06580 | 3.45227 | 3.88328 | 4.36349 | 4.89801 | 5.49241 | 6.15279 | 10.69932 | 18.18989 |
14 | 1.14947 | 1.31948 | 1.51259 | 1.67430 | 1.73168 | 1.79087 | 1.97993 | 2.26090 | 2.57853 | 2.93719 | 3.34173 | 3.79750 | 4.31044 | 4.88711 | 5.53475 | 6.26135 | 7.07571 | 12.83918 | 22.73737 |
15 | 1.16097 | 1.34587 | 1.55797 | 1.73709 | 1.80094 | 1.86699 | 2.07893 | 2.39656 | 2.75903 | 3.17217 | 3.64248 | 4.17725 | 4.78459 | 5.47357 | 6.25427 | 7.13794 | 8.13706 | 15.40702 | 28.42171 |
16 | 1.17258 | 1.37279 | 1.60471 | 1.80223 | 1.87298 | 1.94633 | 2.18287 | 2.54035 | 2.95216 | 3.42594 | 3.97031 | 4.59497 | 5.31089 | 6.13039 | 7.06733 | 8.13725 | 9.35762 | 18.48843 | 35.52714 |
17 | 1.18430 | 1.40024 | 1.65285 | 1.86981 | 1.94790 | 2.02905 | 2.29202 | 2.69277 | 3.15882 | 3.70002 | 4.32763 | 5.05447 | 5.89509 | 6.86604 | 7.98608 | 9.27646 | 10.76126 | 22.18611 | 44.40892 |
18 | 1.19615 | 1.42825 | 1.70243 | 1.93993 | 2.02582 | 2.11529 | 2.40662 | 2.85434 | 3.37993 | 3.99602 | 4.71712 | 5.55992 | 6.54355 | 7.68997 | 9.02427 | 10.57517 | 12.37545 | 26.62333 | 55.51115 |
19 | 1.20811 | 1.45681 | 1.75351 | 2.01268 | 2.10685 | 2.20519 | 2.52695 | 3.02560 | 3.61653 | 4.31570 | 5.14166 | 6.11591 | 7.26334 | 8.61276 | 10.19742 | 12.05569 | 14.23177 | 31.94800 | 69.38894 |
20 | 1.22019 | 1.48595 | 1.80611 | 2.08815 | 2.19112 | 2.29891 | 2.65330 | 3.20714 | 3.86968 | 4.66096 | 5.60441 | 6.72750 | 8.06231 | 9.64629 | 11.52309 | 13.74349 | 16.36654 | 38.33760 | 86.73617 |
25 | 1.28243 | 1.64061 | 2.09378 | 2.51017 | 2.66584 | 2.83075 | 3.38635 | 4.29187 | 5.42743 | 6.84848 | 8.62308 | 10.83471 | 13.58546 | 17.00006 | 21.23054 | 26.46192 | 32.91895 | 95.39622 | 264.69780 |
Table 2:
Future Value of Annuity of $1
n | 1.0% | 2.0% | 3.0% | 3.75% | 4.0% | 4.25% | 5.0% | 6.0% | 7.0% | 8.0% | 9.0% | 10.0% | 11.0% | 12.0% | 13.0% | 14.0% | 15.0% | 20.0% | 25.0% |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 |
2 | 2.01000 | 2.02000 | 2.03000 | 2.03750 | 2.04000 | 2.04250 | 2.05000 | 2.06000 | 2.07000 | 2.08000 | 2.09000 | 2.10000 | 2.11000 | 2.12000 | 2.13000 | 2.14000 | 2.15000 | 2.20000 | 2.25000 |
3 | 3.03010 | 3.06040 | 3.09090 | 3.11391 | 3.12160 | 3.12931 | 3.15250 | 3.18360 | 3.21490 | 3.24640 | 3.27810 | 3.31000 | 3.34210 | 3.37440 | 3.40690 | 3.43960 | 3.47250 | 3.64000 | 3.81250 |
4 | 4.06040 | 4.12161 | 4.18363 | 4.23068 | 4.24646 | 4.26230 | 4.31013 | 4.37462 | 4.43994 | 4.50611 | 4.57313 | 4.64100 | 4.70973 | 4.77933 | 4.84980 | 4.92114 | 4.99337 | 5.36800 | 5.76563 |
5 | 5.10101 | 5.20404 | 5.30914 | 5.38933 | 5.41632 | 5.44345 | 5.52563 | 5.63709 | 5.75074 | 5.86660 | 5.98471 | 6.10510 | 6.22780 | 6.35285 | 6.48027 | 6.61010 | 6.74238 | 7.44160 | 8.20703 |
6 | 6.15202 | 6.30812 | 6.46841 | 6.59143 | 6.63298 | 6.67480 | 6.80191 | 6.97532 | 7.15329 | 7.33593 | 7.52333 | 7.71561 | 7.91286 | 8.11519 | 8.32271 | 8.53552 | 8.75374 | 9.92992 | 11.25879 |
7 | 7.21354 | 7.43428 | 7.66246 | 7.83861 | 7.89829 | 7.95848 | 8.14201 | 8.39384 | 8.65402 | 8.92280 | 9.20043 | 9.48717 | 9.78327 | 10.08901 | 10.40466 | 10.73049 | 11.06680 | 12.91590 | 15.07349 |
8 | 8.28567 | 8.58297 | 8.89234 | 9.13255 | 9.21423 | 9.29671 | 9.54911 | 9.89747 | 10.25980 | 10.63663 | 11.02847 | 11.43589 | 11.85943 | 12.29969 | 12.75726 | 13.23276 | 13.72682 | 16.49908 | 19.84186 |
9 | 9.36853 | 9.75463 | 10.15911 | 10.47503 | 10.58280 | 10.69182 | 11.02656 | 11.49132 | 11.97799 | 12.48756 | 13.02104 | 13.57948 | 14.16397 | 14.77566 | 15.41571 | 16.08535 | 16.78584 | 20.79890 | 25.80232 |
10 | 10.46221 | 10.94972 | 11.46388 | 11.86784 | 12.00611 | 12.14622 | 12.57789 | 13.18079 | 13.81645 | 14.48656 | 15.19293 | 15.93742 | 16.72201 | 17.54874 | 18.41975 | 19.33730 | 20.30372 | 25.95868 | 33.25290 |
11 | 11.56683 | 12.16872 | 12.80780 | 13.31288 | 13.48635 | 13.66244 | 14.20679 | 14.97164 | 15.78360 | 16.64549 | 17.56029 | 18.53117 | 19.56143 | 20.65458 | 21.81432 | 23.04452 | 24.34928 | 32.15042 | 42.56613 |
12 | 12.68250 | 13.41209 | 14.19203 | 14.81212 | 15.02581 | 15.24309 | 15.91713 | 16.86994 | 17.88845 | 18.97713 | 20.14072 | 21.38428 | 22.71319 | 24.13313 | 25.65018 | 27.27075 | 29.00167 | 39.58050 | 54.20766 |
13 | 13.80933 | 14.68033 | 15.61779 | 16.36757 | 16.62684 | 16.89092 | 17.71298 | 18.88214 | 20.14064 | 21.49530 | 22.95338 | 24.52271 | 26.21164 | 28.02911 | 29.98470 | 32.08865 | 34.35192 | 48.49660 | 68.75958 |
14 | 14.94742 | 15.97394 | 17.08632 | 17.98135 | 18.29191 | 18.60879 | 19.59863 | 21.01507 | 22.55049 | 24.21492 | 26.01919 | 27.97498 | 30.09492 | 32.39260 | 34.88271 | 37.58107 | 40.50471 | 59.19592 | 86.94947 |
15 | 16.09690 | 17.29342 | 18.59891 | 19.65565 | 20.02359 | 20.39966 | 21.57856 | 23.27597 | 25.12902 | 27.15211 | 29.36092 | 31.77248 | 34.40536 | 37.27971 | 40.41746 | 43.84241 | 47.58041 | 72.03511 | 109.68684 |
16 | 17.25786 | 18.63929 | 20.15688 | 21.39274 | 21.82453 | 22.26665 | 23.65749 | 25.67253 | 27.88805 | 30.32428 | 33.00340 | 35.94973 | 39.18995 | 42.75328 | 46.67173 | 50.98035 | 55.71747 | 87.44213 | 138.10855 |
17 | 18.43044 | 20.01207 | 21.76159 | 23.19497 | 23.69751 | 24.21298 | 25.84037 | 28.21288 | 30.84022 | 33.75023 | 36.97370 | 40.54470 | 44.50084 | 48.88367 | 53.73906 | 59.11760 | 65.07509 | 105.93056 | 173.63568 |
18 | 19.61475 | 21.41231 | 23.41444 | 25.06478 | 25.64541 | 26.24203 | 28.13238 | 30.90565 | 33.99903 | 37.45024 | 41.30134 | 45.59917 | 50.39594 | 55.74971 | 61.72514 | 68.39407 | 75.83636 | 128.11667 | 218.04460 |
19 | 20.81090 | 22.84056 | 25.11687 | 27.00471 | 27.67123 | 28.35732 | 30.53900 | 33.75999 | 37.37896 | 41.44626 | 46.01846 | 51.15909 | 56.93949 | 63.43968 | 70.74941 | 78.96923 | 88.21181 | 154.74000 | 273.55576 |
20 | 22.01900 | 24.29737 | 26.87037 | 29.01739 | 29.77808 | 30.56250 | 33.06595 | 36.78559 | 40.99549 | 45.76196 | 51.16012 | 57.27500 | 64.20283 | 72.05244 | 80.94683 | 91.02493 | 102.44358 | 186.68800 | 342.94470 |
25 | 28.24320 | 32.03030 | 36.45926 | 40.27112 | 41.64591 | 43.07648 | 47.72710 | 54.86451 | 63.24904 | 73.10594 | 84.70090 | 98.34706 | 114.41331 | 133.33387 | 155.61956 | 181.87083 | 212.79302 | 471.98108 | 1054.79118 |