Time Value of Money Concept The following situations involve the application of the time value of money concret. Use the face when cakulating your results Use the appropriate present or future value table war 11, PV of $1. TV of Annuity of 51 and PV or Annuity of 51 1. Janelle Carter deposited $9,500 in the bank on January 1, 2000, at an interest rate of 129. compounded annually. How much has accumulated in the account by Jan 1, 2017 Round to be more to 65,227.3 x 2. Mike Smith posted 121.480 in the bank on January 1, 2007. on January 2, 2017, the deposits accumulated to 150,251, Interest compounded by the Water dem deposit Round to the nearest whole percent 2.4 X 1. Lee Spony made a deposit in the bank on January 1, 2010. The bank per rret ot the rate of company. On y 1, 2017, destacou 107.17 depouton duary 1, 2017 Round to the heart whole doar 7,253 X 4. Nancy Homes deposited 4.7 in the bank on January ten years ago. The bank pays an interest rate of 10% orded and how worth $13.452. How many as the powd Round to the whole ye 2.8531 X yan TABLE 9-1 Future Value of $1 IN) Periods 2% 36 79 8% 10 12 15% 1 2 3 4 5 8 7 8 9 10 11 12 13 14 15 16 17 102000 103000 1.04040 1.06090 1.06121 1.09273 1.08243 112551 1.10408 1.15927 1.12616 1.19405 114869 122987 1.17106 1.26677 1.19509 130477 121899 134392 124331 138423 126824 1.42578 1.29361 146853 1 31948 151259 134587 1.55797 1.37279 1.60471 1.40024 1.65285 1.42825 1.70243 145681 1.75351 148536 180611 15459 1.91610 1 60844 203279 167342 215659 1.74102 228790 1 B1130 242725 1.04000 108160 1.12486 1.16986 121665 1 26532 131593 136857 142331 148024 1.53945 1.80103 1.66507 1.73108 1 80094 187298 1.94790 202582 2.10686 2:19112 23899 256330 2.77247 299870 324340 105000 1.10250 1.15783 121551 127628 134010 140710 147746 1.55133 1.62889 1.71034 1.79586 188566 197993 2.07893 2 18287 229202 240662 2.52696 2.65330 292525 322510 355567 392013 4.32194 1 06000 1.12360 1.19102 1 26248 1.33823 141852 150383 1.59385 1.68948 179065 189830 201220 213290 2.26090 239656 254035 269277 285434 3.02500 320714 3.50354 404833 454938 5.11180 5.74349 107000 1.14490 1.22504 1.31080 1.40255 1.50073 1.60578 1.71819 1.83846 196715 210485 225219 2 40985 257853 275903 296216 315882 3.37993 361653 3.86968 4.43040 507237 580735 6 64884 7.61226 108000 1.10000 1.12000 1.15000 1.16640 1 21000 125410 1 32250 1.25971 133100 140493 152088 136049 146410 157352 1.74901 1.40833 1.61051 1.76234 201136 1.58687 1.77156 197382 231306 1.71382 1.94872 2.21068 266002 185093 2.14359 2.47596 3.05902 1.99900 2.35795 2.77308 3.51788 2.15892 2 59374 3.10585 4.04556 233164 2.85312 3.47855 4.05239 251817 3.13843 3.89598 5.35025 271962 3.45227 436349 615279 2.93719 3.79750 488711 7.07571 3.17217 4. 17725 5.47357 813706 3.42594 4 59407 6.13039 935702 370002 5,05447 6 36604 10 75126 3.93602 555982 7.68997 1237545 431570 6.11591 8 61270 1423177 4 66000 6.72750 9.64629 16-30654 5.43654 B.14027 12 10031 21.66475 634118 984973 15 17863 2802518 739635 11 91818 19.04007 375680 852711 14 42099 23 88387 500561 10 06266 1746940 29.95082 66 21177 18 19 20 22 ! 26 28 30 TABLE 9-2 Present Value of $1 IN Periods 29 3% 5% 7% 8. 10% 12% 15% 1 2 3 4 5 8 7 B 9 10 11 12 13 98039 96117 94232 92385 90573 88797 87058 85349 83676 82035 80426 78849 77303 75788 74301 72845 71416 70016 68643 67297 54684 62172 59758 57437 55207 97087 94260 91514 88849 B6261 83748 B1309 78941 76642 74409 72242 70138 68096 56112 64186 62317 60502 58739 57029 55368 52100 49190 46309 43708 41199 96154 92456 88900 85480 82190 79031 75992 73069 70250 67556 64958 62480 50057 57748 55525 53391 51337 49363 47464 45639 42196 39012 36089 95238 90703 86384 82270 78353 74622 71068 67684 34461 61391 58468 55684 53032 50507 48102 45811 43630 41552 39573 37689 34185 31007 28124 25509 23138 94340 89000 83982 .79209 74726 70496 66505 62741 59190 55839 52679 49697 46884 44230 41727 39365 37136 35034 33051 31180 27751 24698 21981 19583 17411 93458 87344 81630 76290 71299 06634 62275 58201 54390 50835 47509 44401 41496 38782 36245 33873 31657 29586 27651 25842 22571 19715 17220 15040 13137 90593 85734 79383 73503 88058 63017 58349 54027 50025 46319 42888 39711 36770 34046 31524 29189 27027 25025 23171 21455 18394 15770 13520 11591 09938 90900 82645 75131 68301 62092 56447 51316 46651 42410 38554 35049 31863 28966 26333 23939 21763 19784 17980 -16351 14864 12285 10153 08391 06934 05731 89286 79719 71178 63552 56743 50663 45235 40388 36061 32197 28748 25658 22917 20462 18270 16312 14564 13004 11611 10367 08264 06588 05252 04187 03338 86957 75614 55752 57175 49718 43233 37594 32850 28426 24718 21494 18691 10253 14133 12289 10686 09290 08081 07027 00110 04620 03490 02642 01992 01510 14 15 16 17 18 19 20 22 24 26 28 30 30832 TABLE 9-3 Future Value of Annuity of $1 IN Periods 29 34 64 8% 10 12 1 2 3 4 100000 200000 3.16350 43742 5.63709 697532 83084 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 24 26 28 30 100000 202000 3.00040 4.12161 5.20404 8.30812 743428 85097 9.75463 10.94972 12.10872 13.41209 14 88030 15 97894 1728342 18.53929 20.01207 21 41231 22.84055 24 2737 27 2989 30:42186 33 67091 3705121 40 50808 100000 203000 305090 418383 530014 6.40941 760246 889234 10.15011 11.48333 12 80780 1419003 15 61779 170632 1859891 20.15688 21.76159 23 41444 25. 11687 2687037 30 53678 3442547 3855304 4293092 4757542 100000 204000 3.12180 424646 5.41632 5.63098 783829 9.21423 1058280 12.00611 13 48635 15 02581 16.62884 18.29191 2007359 21 82453 22 59751 2554541 27.67123 29 77808 3424797 39 R50 4431174 49.96758 56 09494 100000 205000 3.15250 431013 5.52563 880191 8.14201 954911 1102656 1257789 14 20679 15.91713 1771298 19.59863 21 57856 23.65749 25 54037 28.1238 30 53000 33 00595 3850521 4450000 51.11345 11 49132 13.18079 1497164 15 34 18.88254 2101507 23 27597 25.67253 28 21268 30.90565 33 75999 36.78559 43.39029 5081558 59 15638 68 52811 79.05819 10000 207000 321450 443334 5.75074 7.15320 8.55402 10.2008 11 97799 13.81545 15.700 1788545 2014064 2255049 25. 12302 27 BABOS 30 84022 33 99303 3737890 40.99549 4900574 5817067 68 67547 8069769 9446079 100000 100000 100000 208000 210000 2.12000 3.245.00 331000 3.37440 450611 434100 47 5.86600 6 10510 5:35285 733580 7.71561 811519 8.92280 348717 10 08901 10.63663 12.29900 1248756 13579 14776 1448630 15.9370 1754874 16.54549 1853117 20 6543 18 97713 21.38428 2013313 2143530 2452271 28 02911 2421490 27.97498 3239200 27.15211 31.7724 37 27971 30 32429 35.94973 42.75328 3375022 40.54470 48 88367 31 45024 4559917 55 74971 41 44625 51.15905 65439 5 70190 57 27500 7205246 56 45678 714025 66.76475 88 49733 118.15524 79.95412100 18177 50 33358 53383313420996150 69820 113.28321 164 49402241 33208 T 00000 215000 247250 4.9833 674230 8.75374 11 000 13.72082 16 7884 2030372 24 34928 29.00167 34.35192 40.50471 758041 5571747 5507500 75 8360 88 21181 1024435 184.15784 245.71197 327 10400 34 74515 TABLE 9-4 Present Value of Annuity of $1 IND Periods 25 35 6% 7. 10% 12% 15% 1 2 3 4 5 5 7 B 9 10 11 12 13 14 15 16 17 98030 1.94158 2.88388 3 80773 4.71340 5.00143 6.47199 732548 B.16224 3.98250 9.78085 1057534 11 34807 12.10605 12.84926 13.57771 1429187 97087 191347 282861 3.71710 4.57971 541719 623008 70199 7.78611 8.53020 9.25252 9.95400 10.63406 11.29007 11 33704 1256110 13.16012 13.75351 1432380 14.87747 159302 16 93954 17.87684 18.75411 13.80044 96154 188609 277509 3.62990 445182 524214 600205 6.73274 743533 8.11090 8.76018 938502 990665 10.56312 11.111039 11.65230 12.16567 12.65000 13.13394 13.59033 14 45112 15 24696 15 98277 16 66300 1729203 95238 1 85941 2.72205 354505 432918 507569 5.78637 646321 7.10782 7.72173 830641 8.30325 930357 989864 1037906 10 83772 1127407 11.60969 12 08532 1246221 13.10300 13.79 1437519 1489813 1537245 94340 183339 2.67301 346511 421238 491732 558238 620979 630100 736000 7.88087 8.38384 8.85268 9.29498 9.71225 10.10500 10.47720 10.82700 11 15812 1146982 12.04158 1255000 1300312 13 40616 13,76483 90458 1 80802 202432 338721 4.10020 4.76654 538929 5.97130 6.51623 702358 749867 7.94209 835705 8.74547 9.10791 944065 9.76322 10.05909 10.33550 10.59401 11 06124 11 46903 11.82578 12 13711 1240304 92593 1.78326 257710 331213 399271 462288 5206:37 5.74061 624689 6.71008 7.13800 753803 290378 8 24424 8.55940 885137 9.12164 9.37180 9.60300 9.81815 10.2004 10 52870 10.30938 11 05100 11.25778 50909 1.73554 2.48585 3.10987 3.79076 438526 488842 5.3993 5 75002 6.1457 6.49600 6.81369 7.10036 730660 760008 7827 802155 8.2014 8.36492 851356 8.72154 899474 9.16095 930557 942691 89086 1.69005 240183 303735 360678 611141 456378 490754 5.32825 5.65022 5.33770 6 1907 6.42355 6.62817 681036 89730 7.1110 7.24007 736578 7.46944 7565 7.7002 7.8000 7.30442 8.05518 1.32571 2.2323 286498 335216 378448 416042 48732 4.72158 501877 523371 542002 52315 572440 581737 6.04710 612707 619623 625033 06 19 20 22 24 26 28 30 15.67846 1635143 17 65805 18.91383 20.12104 21.28127 22336 540050 653351
