Question

TABLE 1 Future Value of $1 FV=$1 (1 + i)n 1.5% n/i 1.0% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 1.01000 1.01500 1.02000 1.02500 1.03000 1.03500 1.04000 1.04500 1.05000 1.05500 1.06000 1.07000 1.08000 1.09000 1.10000 1.11000 1.12000 1.13000 2 1.02010 1.03022 1.04040 1.05063 1.06090 1.07123 1.08160 1.09203 1.10250 1.11303 1.12360 1.14490 1.16640 1.18810 121000 1.23210 125440 127690 3 1.03030 1.04568 1.06121 1.07689 1.09273 1.10872 1.12486 1.14117 1.15763 1.17424 1.19102 1.22504 1.25971 1.29503 1.33100 136763 1.40493 44290 4 1.04060 1.06136 1.08243 1.10381 1.12551 1.14752 1.16986 1.19252 1.21551 1.23882 126248 1.31080 136049 1.41158 1.46410 1.51807 1.57352 1.63047 5 1.05101 1.07728 1.10408 1.13141 1.15927 1.18769 1.21665 1.24618 1.27628 1.30696 1.33823 1.40255 1.46933 1.53862 1.61051 1.68506 1.76234 1.84244 6 1.06152 1.09344 1.12616 1.15969 1.19405 1.22926 1.26532 1.30226 1.34010 1.37884 141852 1.500731.58687 1.67710 1.77156 1.87041 1.973822.08195 1.07214 1.10984 1.14869 1.18869 1.22987 1.27228 1.31593 1.36086 1 40710 1.45468 1.50363 1.60578 1.71382 1.82804 1.94872 2.07616 2.21068 2.35261 8 1.08286 1.12649 1.17166 1.21840 1.26677 1.31681 1.36857 1.42210 147746 1.53469 1.59385 1.71819 1.85093 1.99256 2.14359 2.30454 2.475962.65844 9 1.09369 1.14339 1.19509 1.24886 1.30477 1.36290 1.42331 1.48610 1.55133 161909 1.68948 183846 1.99900 2.17189 2.35795 2.55804 2.77308 3.00404 0 1.10462 1.16054 1.21899 1.28008 1.34392 1.41060 1.48024 1.55297 1.62889 1.70814 1.79085 1.96715 2.15892 2.36736 2.59374 2.83942 3.10585 3.39457 11 1.11567 1.17795 1.24337 1.31209 1.38423 1.45997 1.53945 1.62285 1.71034 1.80209 1.89830 2.10485 2.33164 258043 285312 3.15176 3.47855 3.83586 12 1.12683 1.19562 1.26824 1.34489 142576 1.51107 1.60103 1.69588 1.79586 1.90121 2.01220 2.25219 2.518172.81266 3.13843 3.49845 3.89598 4.33452 13 1.13809 1.21355 1.29361 1.37851 146853 156396 1.66507 1.77220 188565 2.00577 2.13293 2.40985 2.71962 3.06580 3.45227 3.88328 4.36349 4.89801 4 1.14947 1.23176 1.31948 1.41297 1.51259 1.61869 1.73168 1.85194 1.97993 2.11609 2.26090 2.57853 2.93719 3.34173 3.79750 4.31044 4.88711 5.53475 15 1.16097 1.25023 1.34587 1.44830 1.55797 1.67535 1.80094 1.93528 2.07893 2.23248 2.39656 2.75903 3.17217 3.64248 4.17725 4.78459 5.473576.25427 6 1.17258 1.26899 1.37279 1.48451 1.60471 1.73399 1.87298 2.02237 2.18287 2.35526 2.54035 2.95216 3.42594 3.97031 459497 5.31089 6.13039 7.06733 7 1.18430 1.28802 1.40024 1.52162 1.65285 1.79468 1.94790 2.11338 2.29202 2.48480 2.69277 3.15882 3.70002 4.32763 5.05447 5.89509 6.86604 7.98608 18 1.19615 1.30734 1.42825 1.55966 1.70243 1.85749 2.02582 2.20848 2.40662 2.62147 2.85434 3.37993 3.99602 4.71712 5.55992 6.54355 7.68997 9.02427 19 1.20811 1.32695 1.45681 1.59865 1.75351 1.92250 2.10685 2.30786 2.52695 2.76565 3.02560 3.61653 4.31570 5.141666.11591 7.26334 8.61276 10.19742 20 1.22019 1.34686 1.48595 1.63862 180611 1.98979 2.19112 241171 2.65330 2.91776 3.20714 3.86968 4.66096 5.60441 6.72750 8.06231 9.64629 11.52309 21 1.23239 1.36706 1.51567 1.67958 1.86029 2.05943 2.27877 2.52024 2.78596 3.07823 3.39956 4.14056 5.033836.10881 7.40025 8.94917 10.80385 13.02109 22 1.24472 1.38756 1.54598 1.72157 1.91610 2.13151 2.36992 2.63365 2.92526 3.24754 3.60354 4.43040 5.43654 6.65860 8.140279.93357 12.10031 14.71383 23 1.25716 1.40838 1.57690 1.76461 197359 2.20611 2.46472 2.75217 3.07152 3.42615 3.81975 4.74053 5.87146 7.25787 8.95430 11.02627 13.55235 16.62663 24 1.26973 1.42950 1.60844 1.80873 2.03279 2.28333 2.56330 2.87601 3.22510 361459 4.04893 5.07237 6.34118 7.91108 9.84973 12.23916 15.17863 18.78809 25 1.28243 1.45095 1.64061 1.85394 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339 4.29187 5.42743 6.84848 8.62308 10.83471 13.58546 17.00006 21.23054 30 1.34785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 3.74532 4.32194 4.98395 5.74349 7.61226 10.06266 13.26768 17 44940 22.89230 29.95992 39.11590 35 1.41660 1.68388 1.99989 2.37321 281386 3.33359 3.94609 4.66735 5.51602 6.51383 7.68609 10.67658 14.78534 20.41397 28.10244 38.57485 52.79962 72.06851 40 1.48886 1.81402 2.20804 2.68506 3.26204 3.95926 4.80102 581636 7.03999 8.51331 10.28572 14.97446 21.72452 31.40942 4525926 65.00087 93.05097 132.78155 45 1.56481 1.95421 2.43785 3.03790 3.78160 4.70236 5.84118 7.24825 8.98501 11.12655 13.76461 21.00245 31.92045 48.32729 72.89048 109.53024 163.98760 244.64140 0 1.64463 2.10524 2.69159 3.43711 4.38391 5.58493 7.10668 9.03264 11.46740 14.54196 18.42015 29.45703 46.90161 74.35752 117.39085 184.56483 289.00219 450.73593TABLE 2 Present Value of $1 $1 1+i n/i 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 1 0.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787 0.94340 0.93458 0.92593 091743 0.90909 0.90090 0.89286 0.88496 2 0.98030 0.97066 0.96117 0.95181 0.94260 0.93351 0.92456 0.91573 0.90703 0.89845 0.89000 0.87344 0.85734 0.84168 0.82645 0.81162 0.79719 0.78315 3 0.97059 0.95632 0.94232 0.92860 0.91514 0.90194 0.88900 0.87630 0.86384 0.85161 0.83962 0.81630 0.79383 0.77218 0.75131 0.73119 0.71178 0.69305 4 0.96098 0.94218 0.92385 0.90595 0.88849 0.87144 0.85480 0.83856 0.82270 0.80722 0.79209 0.76290 0.73503 0.70843 0.68301 0.65873 0.63552 0.61332 5 0.95147 0.92826 0.90573 0.88385 0.86261 0.84197 0.82193 0.80245 0.78353 0.76513 0.74726 0.71299 0.68058 0.64993 0.62092 0.59345 0.56743 0.54276 6 0.94205 0.91454 0.88797 0.86230 0.83748 0.81350 0.79031 0.76790 0.74622 0.72525 0.70496 0.66634 0.63017 0.59627 0.56447 0.53464 0.50663 0.48032 7 0.93272 0.90103 0.87056 0.84127 0.81309 0.78599 0.75992 0.73483 0.71068 0.68744 0.66506 0.62275 0.58349 0.54703 0.51316 0.48166 0.45235 0.42506 8 092348 0.88771 0.85349 0.82075 0.78941 0.75941 0.73069 0.70319 0.67684 0.65160 0.62741 0.58201 0.54027 0.50187 0.46651 0.43393 0.40388 0.37616 90.91434 0.87459 0.83676 0.80073 0.76642 0.73373 0.70259 0.67290 0.64461 0.61763 0.59190 0.54393 0.50025 0.46043 0.42410 0.39092 0.36061 0.33288 10 0.90529 0.86167 0.82035 0.78120 0.74409 0.70892 0.67556 0.64393 0.61391 0.58543 0.55839 0.50835 0.46319 0.42241 0.38554 0.35218 0.32197 0.29459 11 0.89632 0.84893 0.80426 0.76214 072242 0.68495 0.64958 0.61620 0.58468 0.55491 0.52679 0.47509 0.42888 0.38753 0.35049 0.31728 0.28748 0.26070 12 0.88745 0.83639 0.78849 0.74356 0.70138 0.66178 0.62460 0.58966 0.55684 0.52598 0.49697 0.44401 0.39711 0.35553 0.31863 0.28584 0.25668 0.23071 13 0.87866 0.82403 0.77303 0.72542 0.68095 0.63940 0.60057 0.56427 0.53032 0.49856 0.46884 0.41496 0.36770 0.32618 0.28966 0.25751 0.22917 0.20416 14 0.86996 0.81185 0.75788 0.70773 0.66112 0.61778 0.57748 0.53997 0.50507 0.47257 0.44230 0.38782 0.34046 0.29925 0.26333 0.23199 0.20462 0.18068 15 0.86135 0.79985 0.74301 0.69047 0.64186 0.59689 0.55526 0.51672 0.48102 0.44793 0.41727 0.36245 0.31524 0.27454 0.23939 0.20900 0.18270 0.15989 16 0.85282 0.78803 0.72845 0.67362 0.62317 0.57671 0.53391 0.49447 0.45811 0.42458 0.39365 0.33873 0.29189 0.25187 0.21763 0.18829 0.16312 0.14150 17 0.84438 0.77639 0.71416 0.65720 0.60502 0.55720 0.51337 0.47318 0.43630 0.40245 0.37136 0.31657 0.27027 0.23107 0.19784 0.16963 0.14564 0.12522 18 0.83602 0.76491 0.70016 0.64117 0.58739 0.53836 0.49363 0.45280 0.41552 0.38147 0.35034 0.29586 0.25025 0.21199 0.17986 0.15282 0.13004 0.11081 19 0.82774 0.75361 0.68643 0.62553 0.57029 0.52016 0.47464 0.43330 0.39573 0.36158 0.33051 0.27651 0.23171 0.19449 0.16351 0.13768 0.11611 0.09806 20 081954 0.74247 0.67297 0.61027 0.55368 0.50257 0.45639 0.41464 0.37689 0.34273 0.31180 0.25842 0.21455 0.17843 0.14864 0.12403 0.10367 0.08678 2 2丨 0.81143 0.73150 0.65978 0.59539 0.537550.48557 0.43883 0.39679 0.35894 0.324860.29416 0.24151 0.19866 0.16370 0.13513 0.11174 0.09256 0.07680 22 0.80340 0.72069 0.64684 0.58086 0.52189 0.46915 0.42196 0.37970 0.34185 0.30793 0.27751 0.22571 0.18394 0.15018 0.12285 0.10067 0.08264 0.06796 23 0.79544 0.71004 0.63416 0.56670 0.50669 0.45329 0.40573 0.36335 0.32557 0.29187 0.26180 0.21095 0.17032 0.13778 0.11168 0.09069 0.07379 0.06014 24 0.78757 0.69954 0.62172 0.55288 0.49193 0.43796 0.39012 0.34770 0.31007 0.27666 0.24698 0.19715 0.15770 0.12640 0.10153 0.08170 0.06588 0.05323 25 0.77977 0.68921 0.60953 0.53939 0.47761 0.42315 0.37512 0.33273 0.29530 0.26223 0.23300 0.18425 0.14602 0.11597 0.09230 0.07361 0.05882 0.04710 1 30 0.74192 0.63976 0.55207 0.47674 0.41199 0.35628 0.30832 0.26700 0.23138 0.20064 0.17411 0.13137 0.09938 0.07537 0.05731 0.04368 0.03338 0.02557 35 0.70591 0.59387 0.50003 0.42137 0.35538 0.29998 0.25342 0.21425 0.18129 0.15352 0.13011 0.09366 0.06763 0.04899 0.03558 0.02592 0.01894 0.01388 40 0.67165 0.55126 0.45289 0.37243 0.30656 0.25257 0.20829 0.17193 0.14205 0.11746 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00753 45 0.63905 0.51171 0.41020 0.32917 0.26444 0.21266 0.17120 0.13796 0.11130 0.08988 0.07265 0.04761 0.03133 0.02069 0.01372 0.00913 0.00610 0.00409 50 0.60804 0.47500 0.37153 0.29094 022811 0.17905 0.14071 0.11071 0.08720 0.06877 0.05429 0.03395 0.02132 0.01345 0.00852 0.00542 0.00346 0.00222TABLE 3 Future Value of an Ordinary Annuity of $1 1+-1 n/i 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 .0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0100 2.0150 2.0200 2.0250 20300 2.0350 20400 2.0450 2.0500 2.0550 2.0600 2.0700 2.0800 2.0900 2.1000 2.1100 2.1200 2.1300 3 3.0301 3.0452 3.0604 3.0756 3.0909 3.1062 3.1216 3.1370 3.1525 3.1680 3.1836 3.2149 3.2464 3.2781 3.3100 3.3421 3.3744 3.4069 4 4.0604 4.0909 4.1216 4.1525 4.1836 4.2149 4.2465 4.2782 4.3101 4.34234.3746 4.4399 4.5061 4.57314.6410 4.7097 4.7793 4.8498 5 5.1010 5.1523 5.2040 5.2563 5.3091 5.3625 5.4163 5.47075.5256 5.5811 5.6371 5.7507 5.86665.9847 6.1051 6.2278 6.3528 6.4803 6 6.1520 62296 6.3081 6.3877 6.4684 6.5502 6.6330 6.7169 6.8019 6.8881 6.97537.1533 7.3359 7.5233 7.7156 7.9129 8.1152 8.3227 7 7.2135 7.3230 7.4343 7.5474 7.6625 7.7794 7.8983 8.0192 8.1420 8.2669 8.3938 8.6540 8.9228 9.2004 9,4872 9.7833 10.0890 10.4047 8 8.2857 8.4328 8.5830 8.7361 8.8923 9.0517 9.2142 9.3800 9.5491 9.7216 9.8975 10.2598 10.6366 11.0285 11.4359 11.8594 12.2997 12.7573 9 9.3685 9.5593 9.7546 9.9545 10.1591 10.3685 10.5828 10.8021 11.0266 11.2563 11.4913 11.9780 12.4876 13.0210 13.5795 14.1640 14.7757 15.4157 10 10.4622 10.7027 10.9497 11.2034 11.4639 11.7314 12.0061 122882 12.5779 12.8754 13.1808 13.8164 14.4866 15.1929 15.9374 16.7220 7.5487 18.4197 11 11.5668 11.8633 12.1687 12.4835 128078 13.1420 13.4864 13.8412 14.2068 14.5835 14.9716 15.7836 16.645517.5603 18.5312 19.5614 20.6546 21.8143 12 12.6825 13.0412 13.4121 13.7956 14.1920 14.6020 15.0258 15.4640 15.9171 16.3856 16.8699 17.8885 18.977120.1407 21.3843 22.7132 24.1331 25.6502 13 13.8093 14.2368 14.6803 15.1404 15.6178 16.1130 16.6268 17.1599 17.7130 18.2868 18.8821 20.1406 214953 22.9534 24.5227 26.2116 28.0291 29.9847 14 14.9474 15.4504 15.9739 16.5190 17.0863 17.6770 18.2919 18.9321 19.5986 20.2926 21.0151 22.5505 24.2149 26.0192 27.9750 30.0949 32.3926 34.8827 15 16.0969 16.6821 17.2934 17.9319 18.5989 19.2957 20.0236 20.7841 21.5786 22.4087 23.2760 25.1290 27.1521 29.3609 31.7725 34.4054 37.2797 40.4175 16 17.2579 17.9324 18.6393 19.3802 20.1569 20.9710 21.8245 22.7193 23.6575 24.6411 25.6725 27.8881 30.3243 33.0034 35.9497 39.1899 42.7533 46.6717 7 18.4304 19.2014 20.0121 20.8647 21.7616 22.7050 23.6975 24.7417 25.8404 26.9964 28.2129 30.8402 33.7502 36.9737 40.5447 44.5008 48.8837 53.7391 18 19.6147 20.4894 21.4123 22.3863 23.4144 24.4997 25.6454 26.8551 28.1324 29.4812 30.9057 33.9990 37 4502 41.3013 45.5992 50.3959 55.7497 61.7251 19 20.8109 21.7967 22.8406 23.9460 25.1169 26.3572 27.6712 29.0636 30.5390 32.1027 33.7600 37.3790 41.4463 46.0185 51.1591 56.9395 63.4397 70.7494 20 22.0190 23.1237 24.2974 25.5447 26.8704 28.2797 29.7781 31.3714 33.0660 34.8683 36.7856 40.9955 45.7620 51.1601 57.2750 64.2028 72.0524 80.9468 21 23.2392 24.4705 25.7833 27.1833 28.6765 30.2695 31.9692 33.7831 35.7193 37.7861 39.9927 44.8652 50.4229 56.7645 64.0025 72.2651 81.6987 92.4699 22 24.4716 25.8376 27.2990 28.8629 30.5368 32.3289 34.2480 36.3034 38.5052 40.8643 43.3923 49.0057 55.4568 62.8733 71.4027 81.2143 92.5026 105.4910 23 25.7163 27 2251 28.8450 30.5844 32.4529 34.4604 36.6179 38.9370 41.4305 44.1118 46.9958 53.4361 60.8933 69.5319 79.5430 91.1479 104.6029 120.2048 24 26.9735 28.6335 30.4219 32.3490 34.4265 36.6665 39.0826 41.6892 44.5020 47.5380 50.8156 58.1767 66.7648 76.789888.4973 102.1742 118.1552 136.8315 25 28.2432 30.0630 32.0303 34.1578 36.4593 38.9499 41.6459 44.5652 47.727151.1526 54.8645 63.2490 73.1059 84.7009 98.3471 114.4133 133.3339 155.6196 30 34.7849 37.5387 40.5681 43.9027 47.5754 51.6227 56.0849 61.0071 66.4388 72.4355 79.0582 94.4608 113.2832 136.3075 164.4940 199.0209 241.3327 293.1992 35 41.6603 45.5921 49.9945 54.9282 60.4621 66.6740 73.6522 81.4966 90.3203 100.2514 111.4348 138.2369 172.3168 215.7108 271.0244 341.5896 431.6635 546.6808 40 48.8864 54 2679 60.4020 67.4026 75.4013 84.5503 95.0255 107.0303 120.7998 136.6056 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914 1013.7042 45 56.4811 63.6142 71.8927 81.5161 92.7199 105.7817 121.0294 138.8500 159.7002 184.1192 212.7435 285.7493 386.5056 525.8587 718.9048 986.6386 1358.2300 1874.1646 50 64.4632 73.6828 84.5794 97.4843112.7969 130.9979152.6671 178.5030 209.3480 246.2175 290.3359 406.5289 573.7702 815.0836 1163.9085 1668.7712 2400.0182 3459.5071TABLE 4 Present Value of an Ordinary Annuity of $1 PVA n/i 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 1 0.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787 0.94340 0.93458 0.92593 0.91743 090909 0.90090 0.89286 0.88496 2 1.97040 1.95588 1.94156 1.92742 191347 1.89969 1.88609 1.87267 1.85941 1.84632 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.66810 3 2.94099 2.91220 2.88388 2.85602 2.82861 2.80164 2.77509 2.74896 2.72325 2.69793 2.67301 2.62432 2.57710 253129 2.48685 2.44371 2.40183 2.36115 4 3.90197 3.85438 3.80773 3.761973.71710 3.67308 3.62990 3.58753 3.54595 3.50515 3.46511 3.38721 3.31213 3.23972 3.16987 3.10245 3.03735 2.97447 5 4.85343 4.78264 4.71346 4.64583 4.57971 4.51505 4.45182 4.38998 4.32948 4.27028 4.21236 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 3.51723 5.79548 5.69719 5.601435.50813 5.41719 5.32855 5.24214 5.15787 5.07569 4.99553 4.91732 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.997 7 6.72819 6.59821 6.47199 6.34939 6.23028 6.11454 6.00205 5.89270 5.78637 5.68297 5.582385.38929 5.20637 5.03295 4.86842 4.71220 456376 4.42261 8 765168 7.48593 7.32548 7.17014 7.01969 6.87396 6.73274 6.59589 6.46321 6.33457 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 4.79877 8.56602 8.36052 8.16224 7.97087 7.78611 7.60769 7.43533 7 26879 7.10782 6.95220 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 5.13166 0 9.47130 9.22218 8.98259 8.75206 8.53020 8.31661 8.11090 7.91272 7.72173 7.53763 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 5.42624 11 10.36763 10.07112 9.78685 9.51421 9.25262 9.00155 8.76048 8.52892 8.3064 8.09254 7.88687 749867 7.13896 6.80519 6.49506 6.20652 5.93770 5.68694 12 11.25508 10.90751 10.57534 10.25776 9.95400 966333 9.38507 9.11858 8.86325 8.61852 8.38384 794269 7.53608 7.16073 6.81369 6.49236 6.19437 5.91765 3 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274 9.98565 9.68285 9.39357 9.11708 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 6.12181 14 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283 9.89864 9.58965 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 6.30249 15 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 971225 9.10791 8.55948 8.06069 7.60608 7.19087 6.81086 6.46238 5 8.85137 8.31256 7.82371 7.37916 6.97399 6.60388 17 15.56225 14.90765 14.29187 13.71220 13.1 6612 12.65132 12.16567 11.70719 11.27407 10.864611047726 976322。12164 asos3a02ss7.54879,103.72900 18 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.05909 9.37189 8.75563 8.20141 7.70162 7.24967 6.83991 19 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 9.60360 8.95011 8.36492 7.83929 7.36578 6.93797 20 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 7.02475 16 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590 94466 21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12 27524 11.76408 10.83553 10.01680 9.29224 8.64869 8.07507 7.56200 7.10155 22 19.66038 18.62082 17.65805 16.76541 15.93692 15.16712 14.45112 13.78442 13.16300 12.58317 12.04158 11.06124 10.20074 9.44243 8.77154 8.17574 7.64465 7.16951 23 20.45582 19.33086 18.29220 17.33211 16.44361 15.62041 1485684 14.14777 1348857 12.87504 12.30338 1127219 10.37106 9.58021a883228.26643,71μ③7.22965 21.24339 20.03041 18.91393 17.88499 16.93554 16.05837 15.24696 14 49548 13.79864 13.15170 12.55036 11.46933 10.52876 9.70661 8.98474 8.34814 7.78432 7.28288 25 22.02316 20.71961 19.52346 18.42438 1741315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 1165358 10.67478 9.82258 9.07704 8.42174 7.84314 7.32998 30 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 7.49565 35 29.40858 27.07559 24.99862 23.14516 2148722 20.00066 18.66461 17 46101 16.37419 15.39055 14.49825 12.94767 11.65457 10.56682 9.64416 8.85524 8.17550 7.58557 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 17.15909 160461215.04630 13.33171 11924st 10.75736·779058.sos8243787.63438 45 36.09451 32.55234 29.49016 26,83302 24.51871 22.49545 20.72004 19.15635 17.77407 16.54773 15.45583 13.60552 12.10840 10.88120 9.86281 9.00791 8.28252 7.66086 50 39.19612 34.99969 31.42361 28.36231 25.72976 23.45562 21.48218 19.76201 18.25593 16.93152 15.76186 13.80075 12.23348 10.96168 9.91481 9.04165 8.30450 7.67524Exercise C-6 Calculate the future value of an annuity (LOC-3) GMG Studios plans to invest $59,000 at the end of each year for the next four years. There are three investment options available. Period Rate Compounded Invested Interest Option 1 Option 2 Option 3 Annually Annually Annually 6% 4 years 4 years 4 years 12 Required: Determine the accumulated investment amount by the end of the fourth year for each of the options. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) Accumulated amount Option 1 Option 2 Option 3

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Answer #1

Accumulated Investment amount by the end of the 4th year under each option:

Option 1: =$ 664063.225

Option 2: =$ 690247.67

Option 3: =$ 744967.95

Formula: Amount= Principal(1+i)^n

Where “i” is the interest rate per period and “n” is the number of periods

Option 1: When $ 59000 is invested at the end of each year @ 6%

$ 59000(1.06)+$ 62540(1.06)+$ 66292.4(1.06)+70269.944(1.06)=$ 273588.485

$ 59000(1.06)+$ 62540(1.06)+$ 66292.4(1.06)=$ 199102.34

$ 59000(1.06)+$ 62540(1.06)= $ 128832.4

$ 59000(1.06)= $ 62540

TOTAL=$ 664063.225

Option 2: When $ 59000 is invested at the end of each year @ 8% annually

$ 59000(1.08)+$ 63720(1.08)+$ 68817.6(1.08)+74323.008 (1.08)=$ 287129.46

$ 59000(1.08)+$ 63720(1.08)+$ 68817.6(1.08)=$ 206860.61

$ 59000(1.08)+$ 63720(1.08)=$ 132537.6

$ 59000(1.08)=$ 63720

TOTAL=$ 690247.67

Option 3: When $ 59000 is invested at the end of each year @ 12% annually

$ 59000(1.12)+$ 66080(1.12)+$ 74009.6(1.12)+82890.752 (1.12)=$ 315817.99

$ 59000(1.12)+$ 66080(1.12)+$ 74009.6(1.12)=$ 222980.352

$ 59000(1.12)+$ 66080(1.12)=$ 140089.6

$ 59000(1.12)= $ 66080

TOTAL=$ 744967.95

                                                                                 

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TABLE 1 Future Value of $1 FV=$1 (1 + i)n 1.5% n/i 1.0% 2.0% 2.5% 3.0%...
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