Solve the following by using Table 12-1. Jorge Otero has set up an annuity due with the United Credit Union. At the beginning of each month $200 is electronically debited from his checking account and placed into a savings account earning 6% interest compounded monthly. What is the value of Jorge's account after 24 months? Round your answer to the nearest cent. Click here for Table 12-1 $ TABLE 12-1 Future value Amount of an ordinary Annuity or 51 1% Periods 1 2 3 1.00000 2.00500 3.01502 4.03010 5.05025 1.00000 2.01000 3,03010 4.06040 5.10101 1.00000 2.01500 3,04522 4.09090 5.15227 2% 1.00000 2.02000 3,06040 4.12161 5.20404 L.00000 2.00000 3.09090 4.18163 5.30914 1.00000 2.04000 3.12160 4.24646 5.41632 55 1.00000 2.05000 3.15250 431013 5.52563 1.00000 2.06000 3.18360 4.37462 563709 7% 1.00000 2.07000 3.21490 4.43994 5.75074 8% 1.00000 2.08000 3.24640 4.50611 5.86660 Periods 1 2 3 4 4 5 5 6 7 7 8 9 10 6,07550 7.10588 8.14141 9.18212 10.22803 6.15202 7.21354 8.28567 9.36853 10.46221 6.22955 7.32299 8.43284 9.55933 10.70272 6.30812 6.46841 6.63298 6.80191 7.43428 7.66246 7.89829 8.14.201 8.58297 8.89234 9.21423 9.54911 9.75463 10.15911 10.58280 11.02656 10.94972 11.46388 12.00611 12.57789 6.97532 8.39384 9.89747 11.49132 13.18079 7.15329 8.65402 10.25980 11.97799 13.81645 7.39593 8.92280 10.63663 12.48756 14.48656 9 10 11 12 12 13 11.27917 11.56683 11.86326 12.16872 12.80780 13.48635 14.20679 12.33556 12.68250 13.04121 13.41209 14.19203 15.02581 15.91713 13.39724 13.80933 14.23683 14.68033 15.61779 16.62684 17.71298 14.46423 14.94742 15.45098 15.97394 17.08632 18.29191 19.59863 15.53655 16.09690 16.68214 17.29342 18.5989120.02359 21.57856 14.97164 16.86994 18.88214 21.01507 23.27597 15.78360 17.88845 2014064 22.55049 25. 12902 1664549 18.97713 21.49530 24.21492 27.15211 13 14 14 15 IS 16 16 17 25.67253 28.21288 30.90565 16.61423 17.25786 17.93237 18.63929 20.15688 21.82453 23.65749 17.69730 18.43044 19.20136 20.01207 21.76159 23.69751 25.84097 18.78579 19.61475 20.48938 21.41231 23.41444 25.64541 28.13238 19.87972 20.81090 21.79672 22.84056 25.11687 27.67123 30.53900 20.97912 22.01900 23.12367 24.29737 26.87037 29.77808 33.06595 27.88805 30.84022 33.99903 17 18 30.32428 33.75023 3745024 41.44626 45.76196 18 19 19 33.75999 36.78559 37.37896 40.99549 20 20 21 39.99273 23 22.08401 23.23919 24.47052 25.78332 28.67649 31.96920 35.71925 23.19443 24.47159 25.83758 27.29898 30.53678 34.24797 38_50521 24.31040 25.71630 27.22514 28.84496 32.45288 36.61789 41.43048 25.43196 26.97346 28.63352 30.42186 34.42647 39.08.260 44.50200 26.55912 28.24320 30.06302 32.03030 36.45926 41.64591 47.72710 43.39229 46.99583 50.81558 54,86451 44.86518 49.00574 53.43614 58.17667 63.24904 50.42292 55.45676 60.89330 66.76476 73.10594 21 22 23 24 25 25 26 28 27.69191 28.83037 29.97452 31.12439 32.28002 29.52563 31.51397 3367091 38 55304 44.31174 5111345 30.82089 32.98668 35.34432 40.70963 47.08421 54.66913 32.12910 34.48148 37,05121 4293092 49.96758 58.40258 33.45039 35.99870 38.79223 45.21885 52.96629 62 32271 34.78489 37.53868 40.56808 47 57542 56.08494 66.43885 59.15638 63.70577 68.52811 73.63980 79.05819 68.67647 79.95442 74.48382 87.35077 80.69769 95.33883 87.34653 103.96594 94.46079 113.28321 26 27 28 29 30 29 30 31 31 33 33 14 33.44142 36.13274 39.10176 42.37944 50.00268 59.32834 70.76079 84.80168 102.07304 123.34587 34.60862 37.49407 40.68829 44.2270352.50276 62.70147 75.29883 90.88978 110.21815 134.21354 35.78167 38.86901 42.29861 46.11157 55.07784 66.20953 80,06377 97.34316 118.93343 145.95062 36.96058 40.25770 43.99309 48.63390 57.73018 69.85791 85,06696 104.18375 128.25876 158.62667 38.14538 41.66028 45.59209 49.99448 60.4620873.65222 90.32031 111.43478 138.23688 172.31680 39.33610 43.07688 47.27597 51.994376327594 77.59831 95.83632 119.12087 148.91346 187.10215 35 36 34 35 36 (1 + i)" - 1 The values in Table 12-1 were generated by the formula i and rounded to five decimal places, where is the interest rate per period and n is the total number of periods. TABLE 12-1 core value BUMOTO ANY COTIDER Periods 1 2 99 1.00000 2.09000 3.27810 4.57313 5.98471 10% 1.00000 2.10000 3.31000 4.64100 6.10510 11% 1.00000 2.11000 3.44210 4.70973 6.22780 12% 1.00000 2.12000 3.37440 4.77933 6.35385 135 1.00000 2.13000 3.40690 14% 1.00000 2.14000 3.43980 4.92114 6.61010 15% 1.00000 2.15000 3.47250 4.99338 6.74238 16% 1.00000 2.16000 3.50560 5.06650 6.87714 17% 1.00000 2.17000 3.53890 5.14051 7.01440 185 Periods 1.00000 1 2.19000 2 3.57240 3 5.21543 4 7.15421 5 4 4.84980 6.48027 5 6 7 8 9 10 7.52333 7.71561 791286 8.11519 8.32271 8 53552 8.75374 9.20043 9.48717 9.78327 10.08901 10.40466 10.78049 11.06680 11.02847 11.43589 11.85943 12.29969 12.75726 13.23276 13.72682 13.02104 13.57948 14.16397 14.77566 15.41571 16.08535 16.78584 15.19293 15.99742 16.72201 17.54874 18.41975 19.33730 2030272 8.97748 11.41387 14.24009 17.51851 21.32147 9.20685 11.77201 14.77325 18.28471 22.39311 9.44197 12.14152 15.32700 19.08585 23.52131 6 7 8 9 10 17.56029 1853117 19.561432065458 21.81432 23.04452 24.34928 20.14072 21 38428 22.71319 24.13313 25.65018 27.27075 29.00167 22.95338 24.52271 26.21164 28.02911 29.98470 32.08865 34 35192 26.01919 27.97498 30.09492 32.39260 34.88271 37.58107 40.50471 29.36092 31.77248 34.40536 37.27971 40.41746 43.84241 47.58041 13 25.73290 30.85017 36.78620 43.67199 51.65951 27.19994 32.82393 39,40399 47.10267 56.11013 28.75514 34.93102 42.21866 50.81802 60.96527 11 12 13 15 15 16 17 18 33.00340 35.94973 39.18995 42.75328 46.67173 50.98035 55.71747 36.97370 40.54470 44 50084 48.8836753.73906 59.11760 65.07509 41.30134 45.59917 50.39594 55.74971 61.72514 68.39407 75.83636 46.01846 51.15909 56.93949 63.43968 70.74941 78.96923 88.21181 51.16012 57.27500 64.2028372.05244 80.94683 91.02493 102.44358 60.92503 71.67303 84.14072 98.60323 115.37975 66.64885 72.93901 78.97915 87.06804 93.40561 103.74028 110.28456 123.41353 130.03294 146.62797 16 17 18 19 19 20 20 21 21 22 23 56.76453 64.00250 72.26514 81.69874 92.46992 104.76842 118.81012 62.87334 71.40275 81.21431 92.50258 105.49101 120.43600 137.69164 69.53194 79.54302 91.14788 104.60289 120.20484 138.29704 159.27638 76.78981 88.49733 102.17415 118.15524 136.83147 158.65862 184.16784 84.70090 98.34706 114.41331 133.33387 155.61956 181.87083 212.79302 134.84051 157.41499 183,60138 213.97761 249.21402 153.13854 174,02100 180.17209 206,34479 211.80134 244.48685 248.80757 289.49448 292.10486342.60349 23 24 25 25 26 27 28 93.32398 109.18177 127.99877 150.33393 176.85010 20833274 245.71197 102.72213 121.09994 143.07864 169.37401 200.84061 218.49933 283.56877 112.96822 134,20994 159.81729 190.69889 227.94989 272.88923 327.10408 124.13536 148.63093 178.39719 214.58275 258.58338 312.09373 377.16969 136.30754 164.49402 199.02088 241.33268 293.19922 356.78685 434.74515 290.08827 337 50239 392.50277 456.30322 530.31173 342.76268 405.27211 26 402.09234 479.22109 27 471.37783 566.48089 28 552.51207 669.44745 647.43912 790.94799 30 29 30 31 31 33 33 149.57522 181.94342 221.91317 271 29261 332.31511 407.73701 500.95692 616.16161 758.50377 934.31863 164.00099 201.13777 247.32362 304.84772 376.51608 465.82019 577.10046 715.74746 888.44941 1103.49598 179.80032 222.25154 27552922 342.42945 426 46317 532.03501 664.66552 831.26706 1040.48581 1303.12526 196.98234 245.47670 306.83744 384.52098 482.90338 607.51991 76536535 965.26979 1218.36899 1538.68781 215.71075 271.02437 341.58955 431,66350 546,68082 693.57270 88117016 1120.71295 1426.49102 181665161 236.12472 299.12681 380.16441 484.46312 618.74913 191.67288 101434568 1301.02703 1669.99450 2144.64890 14 35 36 35 36 (1 +1" - 1 The values in Table 12-1 were generated by the formula and rounded to five decimal places, where i is the interest rate per period and n is the total number of periods
