Question
In 2021, Nina contributed 10 percent of her $135,000 annual salary to her 401(k) account. She expects to earn a 8 percent before-tax rate of
In 2021, Nina contributed 10 percent of her $135,000 annual salary to her 401(k) account. She expects to earn a 8 percent before-tax rate of return. Assuming she leaves this (and any employer contributions) in the account until she retires in 25 years, what is Ninas after-tax accumulation from her 2021 contributions to her 401(k) account? (Use Table 1, Table 2)
a. Assume Ninas marginal tax rate at retirement is 30 percent.
b. Assume Ninas marginal tax rate at retirement is 20 percent.
c. Assume Ninas marginal tax rate at retirement is 40 percent.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{12}{|c|}{ Future Value of $1} \\ \hline Periods & 1.0% & 2.0% & 3.0% & \multicolumn{3}{|c|}{3.75%} & 4.0% & 4.25% & 5.0% & 6.0% & 7.0% \\ \hline 1 & 1.01000 & 1.02000 & 1.03000 & \multicolumn{2}{|r|}{1.03750} & \multicolumn{2}{|l|}{1.04000} & 1.04250 & 1.05000 & 1.06000 & 1.07000 \\ \hline 2 & 1.02010 & 1.04040 & 1.06090 & \multicolumn{2}{|r|}{1.07641} & \multicolumn{2}{|l|}{1.08160} & 1.08681 & 1.10250 & 1.12360 & 1.14490 \\ \hline 3 & 1.03030 & 1.06121 & 1.09273 & \multicolumn{2}{|r|}{1.11677} & \multicolumn{2}{|l|}{1.12486} & 1.13300 & 1.15763 & 1.19102 & 1.22504 \\ \hline 4 & 1.04060 & 1.08243 & 1.12551 & \multicolumn{2}{|r|}{1.15865} & \multicolumn{2}{|l|}{1.16986} & 1.18115 & 1.21551 & 1.26248 & 1.31080 \\ \hline 5 & 1.05101 & 1.10408 & 1.15927 & \multicolumn{2}{|r|}{1.20210} & \multicolumn{2}{|l|}{1.21665} & 1.23135 & 1.27628 & 1.33823 & 1.40255 \\ \hline 6 & 1.06152 & 1.12616 & 1.19405 & \multicolumn{2}{|r|}{1.24718} & 1.26532 & & 1.28368 & 1.34010 & 1.41852 & 1.50073 \\ \hline 7 & 1.07214 & 1.14869 & 1.22987 & & 1.29395 & 1.31593 & & 1.33824 & 1.40710 & 1.50363 & 1.60578 \\ \hline 8 & 1.08286 & 1.17166 & 1.26677 & & 1.34247 & 1.36857 & & 1.39511 & 1.47746 & 1.59385 & 1.71819 \\ \hline 9 & 1.09369 & 1.19509 & 1.30477 & & 1.39281 & 1.42331 & & 1.45440 & 1.55133 & 1.68948 & 1.83846 \\ \hline 10 & 1.10462 & 1.21899 & 1.34392 & & 1.44504 & 1.48024 & & 1.51621 & 1.62889 & 1.79085 & 1.96715 \\ \hline 11 & 1.11567 & 1.24337 & 1.38423 & & 1.49923 & 1.53945 & & 1.58065 & 1.71034 & 1.89830 & 2.10485 \\ \hline 12 & 1.12683 & 1.26824 & 1.42576 & & 1.55545 & 1.60103 & & 1.64783 & 1.79586 & 2.01220 & 2.25219 \\ \hline 13 & 1.13809 & 1.29361 & 1.46853 & & 1.61378 & 1.66507 & & 1.71786 & 1.88565 & 2.13293 & 2.40985 \\ \hline 14 & 1.14947 & 1.31948 & 1.51259 & & 1.67430 & 1.73168 & & 1.79087 & 1.97993 & 2.26090 & 2.57853 \\ \hline 15 & 1.16097 & 1.34587 & 1.55797 & & 1.73709 & 1.80094 & & 1.86699 & 2.07893 & 2.39656 & 2.75903 \\ \hline 16 & 1.17258 & 1.37279 & 1.60471 & & 1.80223 & 1.87298 & & 1.94633 & 2.18287 & 2.54035 & 2.95216 \\ \hline 17 & 1.18430 & 1.40024 & 1.65285 & & 1.86981 & 1.94790 & & 2.02905 & 2.29202 & 2.69277 & 3.15882 \\ \hline 18 & 1.19615 & 1.42825 & 1.70243 & & 1.93993 & 2.02582 & & 2.11529 & 2.40662 & 2.85434 & 3.37993 \\ \hline 19 & 1.20811 & 1.45681 & 1.75351 & & 2.01268 & 2.10685 & & 2.20519 & 2.52695 & 3.02560 & 3.61653 \\ \hline 20 & 1.22019 & 1.48595 & 1.80611 & & 2.08815 & 2.19112 & & 2.29891 & 2.65330 & 3.20714 & 3.86968 \\ \hline 25 & 1.28243 & 1.64061 & 2.09378 & & 2.51017 & 2.66584 & & 2.83075 & 3.38635 & 4.29187 & 5.42743 \\ \hline 30 & 1.34785 & 1.81136 & 2.42726 & & 3.01747 & 3.24340 & & 3.48564 & 4.32194 & 5.74349 & 7.61226 \\ \hline Periods & 8.0% & 9.0% & 10.0% & 11.0% & & 12.0% & 13.0% & 14.0% & 15.0% & 20.0% & 25.0% \\ \hline 1 & 1.08000 & 1.09000 & 1.10000 & 1.11000 & & 1.12000 & 1.13000 & 1.14000 & 1.15000 & 1.20000 & 1.25000 \\ \hline 2 & 1.16640 & 1.18810 & 1.21000 & 1.23210 & & 1.25440 & 1.27690 & 1.29960 & 1.32250 & 1.44000 & 1.56250 \\ \hline 3 & 1.25971 & 1.29503 & 1.33100 & 1.36763 & & 1.40493 & 1.44290 & 1.48154 & 1.52088 & 1.72800 & 1.95313 \\ \hline 4 & 1.36049 & 1.41158 & 1.46410 & 1.51807 & & 1.57352 & 1.63047 & 1.68896 & 1.74901 & 2.07360 & 2.44141 \\ \hline 5 & 1.46933 & 1.53862 & 1.61051 & 1.68506 & & 1.76234 & 1.84244 & 1.92541 & 2.01136 & 2.48832 & 3.05176 \\ \hline 6 & 1.58687 & 1.67710 & 1.77156 & 1.87041 & & 1.97382 & 2.08195 & 2.19497 & 2.31306 & 2.98598 & 3.81470 \\ \hline 7 & 1.71382 & 1.82804 & 1.94872 & 2.07616 & & 2.21068 & 2.35261 & 2.50227 & 2.66002 & 3.58318 & 4.76837 \\ \hline 8 & 1.85093 & 1.99256 & 2.14359 & 2.30454 & & 2.47596 & 2.65844 & 2.85259 & 3.05902 & 4.29982 & 5.96046 \\ \hline 9 & 1.99900 & 2.17189 & 2.35795 & 2.55804 & & 2.77308 & 3.00404 & 3.25195 & 3.51788 & 5.15978 & 7.45058 \\ \hline 10 & 2.15892 & 2.36736 & 2.59374 & 2.83942 & & 3.10585 & 3.39457 & 3.70722 & 4.04556 & 6.19174 & 9.31323 \\ \hline 11 & 2.33164 & 2.58043 & 2.85312 & 3.15176 & & 3.47855 & 3.83586 & 4.22623 & 4.65239 & 7.43008 & 11.64153 \\ \hline 12 & 2.51817 & 2.81266 & 3.13843 & 3.49845 & & 3.89598 & 4.33452 & 4.81790 & 5.35025 & 8.91610 & 14.55192 \\ \hline 13 & 2.71962 & 3.06580 & 3.45227 & 3.88328 & & 4.36349 & 4.89801 & 5.49241 & 6.15279 & 10.69932 & 18.18989 \\ \hline 14 & 2.93719 & 3.34173 & 3.79750 & 4.31044 & & 4.88711 & 5.53475 & 6.26135 & 7.07571 & 12.83918 & 22.73737 \\ \hline 15 & 3.17217 & 3.64248 & 4.17725 & 4.78459 & & 5.47357 & 6.25427 & 7.13794 & 8.13706 & 15.40702 & 28.42171 \\ \hline 16 & 3.42594 & 3.97031 & 4.59497 & 5.31089 & & 6.13039 & 7.06733 & 8.13725 & 9.35762 & 18.48843 & 35.52714 \\ \hline 17 & 3.70002 & 4.32763 & 5.05447 & 5.89509 & & 6.86604 & 7.98608 & 9.27646 & 10.76126 & 22.18611 & 44.40892 \\ \hline 18 & 3.99602 & 4.71712 & 5.55992 & 6.54355 & & 7.68997 & 9.02427 & 10.57517 & 12.37545 & 26.62333 & 55.51115 \\ \hline 19 & 4.31570 & 5.14166 & 6.11591 & 7.26334 & & 8.61276 & 10.19742 & 12.05569 & 14.23177 & 31.94800 & 69.38894 \\ \hline 20 & 4.66096 & 5.60441 & 6.72750 & 8.06231 & & 9.64629 & 11.52309 & 13.74349 & 16.36654 & 38.33760 & 86.73617 \\ \hline 25 & 6.84848 & 8.62308 & 10.83471 & 13.58546 & & 17.00006 & 21.23054 & 26.46192 & 32.91895 & 95.39622 & 264.69780 \\ \hline 30 & 10.06266 & 13.26768 & 17.44940 & 22.89230 & & 29.95992 & 39.11590 & 50.95016 & 66.21177 & 237.37631 & 807.79357 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{11}{|c|}{ Future Value of Annuity of $1} \\ \hline Periods & 1.0% & 2.0% & 3.0% & 3.75% & \multicolumn{2}{|c|}{4.0%} & 4.25% & 5.0% & 6.0% & 7.0% \\ \hline 1 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & \multicolumn{2}{|c|}{1.00000} & 1.00000 & 1.00000 & 1.00000 & 1.00000 \\ \hline 2 & 2.01000 & 2.02000 & 2.03000 & 2.03750 & \multicolumn{2}{|c|}{2.04000} & 2.04250 & 2.05000 & 2.06000 & 2.07000 \\ \hline 3 & 3.03010 & 3.06040 & 3.09090 & 3.11391 & \multicolumn{2}{|c|}{3.12160} & 3.12931 & 3.15250 & 3.18360 & 3.21490 \\ \hline 4 & 4.06040 & 4.12161 & 4.18363 & 4.23068 & \multicolumn{2}{|c|}{4.24646} & 4.26230 & 4.31013 & 4.37462 & 4.43994 \\ \hline 5 & 5.10101 & 5.20404 & 5.30914 & 5.38933 & \multicolumn{2}{|c|}{5.41632} & 5.44345 & 5.52563 & 5.63709 & 5.75074 \\ \hline 6 & 6.15202 & 6.30812 & 6.46841 & 6.59143 & \multicolumn{2}{|c|}{6.63298} & 6.67480 & 6.80191 & 6.97532 & 7.15329 \\ \hline 7 & 7.21354 & 7.43428 & 7.66246 & 7.83861 & \multicolumn{2}{|c|}{7.89829} & 7.95848 & 8.14201 & 8.39384 & 8.65402 \\ \hline 8 & 8.28567 & 8.58297 & 8.89234 & 9.13255 & \multicolumn{2}{|c|}{9.21423} & 9.29671 & 9.54911 & 9.89747 & 10.25980 \\ \hline 9 & 9.36853 & 9.75463 & 10.15911 & 10.47503 & 10.58 & 280 & 10.69182 & 11.02656 & 11.49132 & 11.97799 \\ \hline 10 & 10.46221 & 10.94972 & 11.46388 & 11.86784 & 12.00 & 611 & 12.14622 & 12.57789 & 13.18079 & 13.81645 \\ \hline 11 & 11.56683 & 12.16872 & 12.80780 & 13.31288 & 13.48 & 635 & 13.66244 & 14.20679 & 14.97164 & 15.78360 \\ \hline 12 & 12.68250 & 13.41209 & 14.19203 & 14.81212 & 15.02 & 581 & 15.24309 & 15.91713 & 16.86994 & 17.88845 \\ \hline 13 & 13.80933 & 14.68033 & 15.61779 & 16.36757 & 16.62 & 684 & 16.89092 & 17.71298 & 18.88214 & 20.14064 \\ \hline 14 & 14.94742 & 15.97394 & 17.08632 & 17.98135 & 18.29 & 191 & 18.60879 & 19.59863 & 21.01507 & 22.55049 \\ \hline 15 & 16.09690 & 17.29342 & 18.59891 & 19.65565 & 20.02 & 359 & 20.39966 & 21.57856 & 23.27597 & 25.12902 \\ \hline 16 & 17.25786 & 18.63929 & 20.15688 & 21.39274 & 21.82 & 453 & 22.26665 & 23.65749 & 25.67253 & 27.88805 \\ \hline 17 & 18.43044 & 20.01207 & 21.76159 & 23.19497 & 23.69 & 751 & 24.21298 & 25.84037 & 28.21288 & 30.84022 \\ \hline 18 & 19.61475 & 21.41231 & 23.41444 & 25.06478 & 25.64 & 541 & 26.24203 & 28.13238 & 30.90565 & 33.99903 \\ \hline 19 & 20.81090 & 22.84056 & 25.11687 & 27.00471 & 27.67 & 123 & 28.35732 & 30.53900 & 33.75999 & 37.37896 \\ \hline 20 & 22.01900 & 24.29737 & 26.87037 & 29.01739 & 29.77 & & 30.56250 & 33.06595 & 36.78559 & 40.99549 \\ \hline 25 & 28.24320 & 32.03030 & 36.45926 & 40.27112 & 41.64 & 591 & 43.07648 & 47.72710 & 54.86451 & 63.24904 \\ \hline 30 & 34.78489 & 40.56808 & 47.57542 & 53.79924 & 56.08 & & 58.48553 & 66.43885 & 79.05819 & 94.46079 \\ \hline Periods & 8.0% & 9.0% & 10.0% & 11.0% & 12.0% & 13.0% & 14.0% & 15.0% & 20.0% & 25.0% \\ \hline 1 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 & 1.00000 \\ \hline 2 & 2.08000 & 2.09000 & 2.10000 & 2.11000 & 2.12000 & 2.13000 & 2.14000 & 2.15000 & 2.20000 & 2.25000 \\ \hline 3 & 3.24640 & 3.27810 & 3.31000 & 3.34210 & 3.37440 & 3.40690 & 3.43960 & 3.47250 & 3.64000 & 3.81250 \\ \hline 4 & 4.50611 & 4.57313 & 4.64100 & 4.70973 & 4.77933 & 4.84980 & 4.92114 & 4.99337 & 5.36800 & 5.76563 \\ \hline 5 & 5.86660 & 5.98471 & 6.10510 & 6.22780 & 6.35285 & 6.48027 & 6.61010 & 6.74238 & 7.44160 & 8.20703 \\ \hline 6 & 7.33593 & 7.52333 & 7.71561 & 7.91286 & 8.11519 & 8.32271 & 8.53552 & 8.75374 & 9.92992 & 11.25879 \\ \hline 7 & 8.92280 & 9.20043 & 9.48717 & 9.78327 & 10.08901 & 10.40466 & 10.73049 & 11.06680 & 12.91590 & 15.07349 \\ \hline 8 & 10.63663 & 11.02847 & 11.43589 & 11.85943 & 12.29969 & 12.75726 & 13.23276 & 13.72682 & 16.49908 & 19.84186 \\ \hline 9 & 12.48756 & 13.02104 & 13.57948 & 14.16397 & 14.77566 & 15.41571 & 16.08535 & 16.78584 & 20.79890 & 25.80232 \\ \hline 10 & 14.48656 & 15.19293 & 15.93742 & 16.72201 & 17.54874 & 18.41975 & 19.33730 & 20.30372 & 25.95868 & 33.25290 \\ \hline 11 & 16.64549 & 17.56029 & 18.53117 & 19.56143 & 20.65458 & 21.81432 & 23.04452 & 24.34928 & 32.15042 & 42.56613 \\ \hline 12 & 18.97713 & 20.14072 & 21.38428 & 22.71319 & 24.13313 & 25.65018 & 27.27075 & 29.00167 & 39.58050 & 54.20766 \\ \hline 13 & 21.49530 & 22.95338 & 24.52271 & 26.21164 & 28.02911 & 29.98470 & 32.08865 & 34.35192 & 48.49660 & 68.75958 \\ \hline 14 & 24.21492 & 26.01919 & 27.97498 & 30.09492 & 32.39260 & 34.88271 & 37.58107 & 40.50471 & 59.19592 & 86.94947 \\ \hline 15 & 27.15211 & 29.36092 & 31.77248 & 34.40536 & 37.27971 & 40.41746 & 43.84241 & 47.58041 & 72.03511 & 109.68684 \\ \hline 16 & 30.32428 & 33.00340 & 35.94973 & 39.18995 & 42.75328 & 46.67173 & 50.98035 & 55.71747 & 87.44213 & 138.10855 \\ \hline 17 & 33.75023 & 36.97370 & 40.54470 & 44.50084 & 48.88367 & 53.73906 & 59.11760 & 65.07509 & 105.93056 & 173.63568 \\ \hline 18 & 37.45024 & 41.30134 & 45.59917 & 50.39594 & 55.74971 & 61.72514 & 68.39407 & 75.83636 & 128.11667 & 218.04460 \\ \hline 19 & 41.44626 & 46.01846 & 51.15909 & 56.93949 & 63.43968 & 70.74941 & 78.96923 & 88.21181 & 154.74000 & 273.55576 \\ \hline 20 & 45.76196 & 51.16012 & 57.27500 & 64.20283 & 72.05244 & 80.94683 & 91.02493 & 102.44358 & 186.68800 & 342.94470 \\ \hline 25 & 73.10594 & 84.70090 & 98.34706 & 114.41331 & 133.33387 & 155.61956 & 181.87083 & 212.79302 & 471.98108 & 1054.79118 \\ \hline 30 & 113.28321 & 136.30754 & 164.49402 & 199.02088 & 241.33268 & 293.19922 & 356.78685 & 434.74515 & 1181.88157 & 3227.17427 \\ \hline \end{tabular}Step by Step Solution
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