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John Rider wants to accumulate $110,000 to be used for his daughter's college education. He would like to have the amount available on December 31,
John Rider wants to accumulate $110,000 to be used for his daughter's college education. He would like to have the amount available on December 31, 2026. Assume that the funds will accumulate in a certificate of deposit paying 8% interest compounded annually. (EV of $1. PV of $1. EVA of $1. PVA of $1. EVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Answer each of the following independent questions. Required: 1. If John were to deposit a single amount, how much would he have to invest on December 31, 2021? 2. If John wer to make five equal deposits on each December 31, beginning a year later, on December 31, 2019, what is the required amount of each deposit? 3. If John were to make five equal deposits on each December 31, beginning now, on December 31, 2018, what is the required amount of each deposit? (For all requirements, Round your final answers to nearest whole dollar amount.) Amount S 74,864 2 Annuity amount 3 Annuity amount TABLE 1 Future Value of $1 FV $1(1+0 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% 20.0% 1.01000 1.01500 1.02000 1.02500 1.03000 1.03500 1.04000 1.04500 105000 1.05500 1.06000 107000 1.08000 1.09000 1.10000 1.11000 112000 1.20000 2 1.02010 1.03022 1.04040 1.05063 1.06090 1.07123 1.08160 1.09203 1.10250 1.11303 1.12360 1.16640 1.14490 1.18810 1.21000 1.23210 1.25440 1.44000 1.03030 1.04568 1.06121 1.07689 1.09273 1.10872 1.12486 1.14117 115763 1.17424 1.19102 1.22504 125971 1.29503 133100 1.36763 1.40493 1.72800 4 1.04060 1.06136 1.08243 1.10381 1.12551 1.14752 1.16986 1.19252 1.21551 1.23882 1.26248 1.31080 1.36049 141158 146410 1.51807 157352 2.07360 5 1.05101 1.07728 1.10408 1.13141 1.15927 121665 1.18769 124618 127628 130696 1.33823 1.40255 146933 153862 1.61051 1.68506 1.76234 2.48832 6 1.06152 109344 1.12616 1 15969 1.1940S 1.22926 1.26532 130226 1.34010 1.37884 141852 1.50073 1.58687 67710 1.77156 1.87041 1.97382 2.98598 7 107214 1.10984 114869 1.18869 1 22987 127228 131593 1.36086 140710 145468 1.60578 171382 150363 182804 1.94872 2.07616 2.21068 3.58318 8 1.08286 1.12649 1.17166 1.21840 126677 1.31681 1.36857 1.42210 147746 1.53469 159385 171819 1.85093 1.99256 2.14359 2.30454 247596 4.29982 1.09369 1.14339 1.19509 1 24886 1.30477 136290 1.42331 1.48610 1.35133 1.61909 1.68948 1.83846 1.99900 2.17189 2.35795 2.55804 2.77308 5.15978 10 1.10462 1 16054 121899 1 28008 1.34392 141060 148024 1.55297 162889 1.70814 1.79085 1.96715 2.15892 2.36736 2.59374 2.83942 3.10585 6.19174 11 1.11567 1.17795 124337 31209 138423 145997 1.53945 1.62285 1.71034 1.80209 1.89830 2.10485 2.33164 2.58043 2.85312 3.15176 3.47855 7.43008 12 1.12683 1.19562 1.26824 1.34489 1.42576 151107 1.60103 1.69588 1.79586 1.90121 2.01220 2.25219 2.51817 2.81266 3.13843 3.49845 3.89598 8.91610 13 1.13809 1.21355 1.29361 137851 1.46853 156396 1.66507 1.77220 188565 2.00577 2.13293 240985 2.71962 3.06580 3.45227 3.88328 4.36349 10.69932 14 114947 123176 1.31948 1.41297 151259 161869 1.73168 1.85194 197993 2.11609 2.26090 2.57853 2.93719 3.34173 3.79750 4.31044 4.88711 12.83918 15 1.16097 1.25023 1 34587 144830 1.55797 167535 180094 193528 207893 2.23248 239656 2.75903 3.17217 3.64248 4.17725 4.78459 5.47357 15.40702 1.17258 1 26899 1.37279 1.48451 1 60471 173399 1.87298 2.02237 2 18287 2.35526 2.54035 2.95216 342594 3.97031 4.59497 5.31089 6.13039 18.48843 16 17 1.18430 1.28802 1.40024 1.52162 165285 179468 1.94790 2.11338 2.259202 2484800 2.69277 3.15882 3.70002 4.32763 5.05447 5.89509 6.86604 22.18611 1.70243 185749 2.02582 2.20848 2.40662 2.62147 2.85434 3.37993 3.99602 471712 5.55992 6.54355 7.68997 26.62333 18 1.19615 1.30734 1.42825 1.55966 2.30786 2.52695 2.76565 3.61653 5.14166 6.11591 7.26334 8.61276 31.94800 3.02560 4.31570 19 1.20811 1.32695 1.45681 1.59865 1.75351 1.92250 2.10685 3.20714 3.86968 4.66096 9.64629 38.33760 1.48595 1.63862 1.98979 2.19112 2.41171 2.65330 2.91776 S.60441 6.72750 8.06231 20 1.22019 1.34686 1.80611 3.39956 4.14056 6.10881 740025 8.94917 10.80385 46.00512 5.03383 1.23239 136706 1.67958 186029 2.05943 2.27877 2.52024 2.78596 307823 21 1.51567 4.29187 S.42743 6 84848 8.62308 10.83471 13.58546 17.00006 95.39622 25 1.28243 1.85394 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339 1.45095 1.64061 1006266 13.26768 17.44940 22.89230 29.959992 237.37631 3.74532 4.32194 498395 5.74349 761226 30 134785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 31.40942 45.25926 6S.00087 93.05097 1469 77160 5 81636 7.03999 8.51331 10.28572 14.97446 21.72452 3.26204 3.95926 4.80102 TABLE 2 Present Value of $1 $1 PV (1+) 10% 1.5% 20% 2.5% 3.0% 3.5% 4.0% 4.5% S.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 099010 0.98522 098039 097561 097087 0.96618 056154 095694 095238 094787 094340 0.93458 0.92593 0.91743 0.90909 090090 0.8928603333 0.980300 0.97066 0.96117 095181 094260 093351 924 091573 090703 039845 089000 087344 085734 0.84168 0.52645 081162 079719 069444 097059 0.95632 0.94232 092860 091514 0.90194 o S8900 0.87630 0 86384 08161 083962 081630 079383 0.77218 0.75131 0.73119 071178 0.57870 4 0.96098 0.94218 0.92385 090595 0.88849 0.87144 085480 0.83856 0.82270 080722 0.79209 0.76290 0.73503 0,708430 0,68301 065873 063552048225 5 0.95147 0.92826 0.90573 088385 0.36261 0.84197 082193 080245 0.78353 076513 0.74726 0.71299 068058 0.649934 0.62092 0.59345 0567430.4013 0.94205 0.91454 0.87 0.86230 083748 0.51350 0.79031 0.76790 0.74622 0.72525 0.70496 0.66634 0.63017 0.59627 0.56447 0.53464 050663 033490 0.93272 0.90103 0S7056 084127 081309 078599 075992 073483 071068 068744 0.66506 062275 058349 0.54703 0.51316 048166 04523502790 0.92348 0 $8771 C85349 0.82075 0.78941 075941 D73059 070319 067684 065160 062741 058201 054027 0.50187 046651 043393 040388 023257 0.91434 087459 0S3676 080073 0.76642 0.73373 070239 067290 061461 0.61763 0 59190 054393 050025 0 46043 042410 0.39092 036061019381 10 0.90529 0 86167 0 S2035 078120 0 74409 0:70892 067556 064393 061391 0.58543 0 55839 050835 046319 0 42241 038554 0.35218 032197 0 16151 11 0.89632 0.84893 0.80426 0.76214 0.72242 e.63495 0.64958 0.61620 058468 0.55491 52679 47509 042888 0.38753 035049 031728 0.28748 0.13459- 12 088745 083639 0.78349 0.74356 0.70138 0.66178 062460 0.58966 0.55654 052598 049697 044401 0.39711 0.35553 031363 028584 0.25665 011216 13 087866 0.82403 077303 0.72542 0.68095 063940 060057 0.56427 0.53032 049856 046884 041496 036770 032613 0.28966 02575t 022917 0 09346 14 0 86996 081185 0257B8 02073 066112 061778 057748 053997 0.50507 0.47257 044230 0.38782 034046 0.29925 026333 023199 020462 0.0778 15 086135 079985 0.74301 09047 0.64186 o 59689 055526 051672 0.48102 044793 041727 0.36245 0.31524 0.27454 0.23939 020900 18270- 0 06491 16 085282 0.78303 72845 067362 0.62317 0.57671 0.53391 0.49447 45811 042458 0.39365 0.33873 0.29189 0.25187 021763 0.18829 0.16312 0.05409 17 0.34438 0.77639 0.71416 065720 060502 0.55720 0.51337 047318 043630 010245 037136 031657 027027 023107 0.19784 016963 0.14564 004507 0.70016 064117 0.58739 0.53836 049363 045280 041552 0.38147 0 35034 029586 025025 021199 0.17986 015282 0.13004 003756 18 083602 0.76491 0.68643 0.62553 0.57029 0.52016 0.47464 043330 039573 0.36158 033051 027651 0.23171 0.19449 0.16351 0.13768 011611 0.03130 19 082774 0.75361 O81954 0.74247 0.67297 0.61027 0.55368 0.50257 045639 041464 037689- 0.34273 031180 0.25842 0.21455 017843 0.14864 0.12403 010367 0.02605 20 0.32486 0.29416 0.24151 019866 16370 13513 0.11174 0.09256 002174 0.48557 043883 0.39079 0.35594 21 0.81143 0.73150 0.65978 0.59539 0.53755 0.39012 034770 031007 027666 0.24098 0.19715 015770 012540 0.10153 0 08170 006585 0.01258 043796 24 078757 0 69954 062172 055288 049193 037512 033273 029530 026223 0.23300 18425 0.14602 011597 0.09230 007361 005ss2 0.01045 25 0.77977 0.68921 060953 0.53939 047761 042315 0.22332 019563 015040 0.11591 008955 006934 0.05382 004187 0.00607 0.38165 0.33348 029157 025509 28 0.75684 0.65910 057437 0.50088 043208 021168 0.18456 0.14056 0.10733 0.08215 006304 004849 003738 0.00506 0.36875 032065 027902 02429s 29 0.74934 0.64936 0.56311 048866 0.42435 0.04368 0.03338 0.00421 0.35628 0.30832 26700 0.23138a 0.20064 17411 13137 0.09938 0.07537 0.05731 0.47674 .41199 000351 TABLE 3 Future Value of an Ordinary Annuity of $1 FVA +-1 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% 20.0% I 1 0000 1.0000 1.0000 1.0000 1 0000 1.0000 1,0000 1.0000 1.0000 1.0000 10000 1.0000 10000 1.0000 1.0000 1.0000 1.0000 1.0000 2 20100 2.0150 2.0200 2.0250 2.0300 2.0350 20400 2.0450 2.0500 2.0550 2.0600 2.0700 2.0800 20900 2.1000 2.1100 2.1200 2.2000 3 3.0301 3.0452 3.0004 3.0756 3.0909 3.1062 3.1216 3.1370 3.1525 3.1680 3.1836 3.2149 3.2464 3.278 3.3100 3.3421 3.3744 3.6400 4 4.0604 4.0909 4.1216 4.1525 4.1836 42149 4.2465 42782 4.3101 4.3423 4.3746 4,4399 4.5061 45731 4.6410 4.7097 4.7793 5.3680 5.1010 5.1523 3.2040 52563 5.3091 5.3625 5.4163 5.4707 5.5256 5.5811 5.6371 5.7507 5.8666 5.9847 6.1051 6.2278 63528 7.4416 6 6.1520 6.2296 63081 6.3877 6.4684 6.5502 6.6330 6.7169 6.8019 6.8381 6.9753 7.1533 7.3359 7.5233 7.7156 7.9129 8.1152 9.9299 7.2135 7.3230 7.4343 7.5474 76625 7.7794 7.8983 8.0192 8.1420 8.2669 3.3938 8.6540 89228 9.2004 94872 9.7833 10.0890 12.9159 8.2857 8.4328 8.5830 8.7361 88923 9 0517 92142 9.3800 95491 9.7216 9 8975 10.2598 10 6366 11.0285 11.4359 11.8594 12.2997 16.4991 9.3685 9 5593 9.7546 9.9545 101591 10.3685 105828 10 S021 11.0266 11.2563 11 4913 11.9780 12 4876 13.0210 13.5795 14.1640 14.7757 20.7989 10 10.4622 10.7027 10.9497 11 2034 11 4039 11.7314 120061 12.2882 125779 12.8754 13.1808 13.8164 14.4866 15.1929 15.9374 16.7220 17.5487 25.9587 11 11.5668 11.8633 12.1687 12.4835 12.8078 3.1420 13.4864 13.8412 14.2068 14.5835 14.9716 15.7836 16.6455 17.5603 18.5312 19.5614 20.6546 32.1504 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 18.9771 20.1407 21.3843 22.7132 24.1331 39 5805 14.2368 14.6803 15.1404 16.1130 16 6268 17 1599 17.7130 18.2868 18 8821 20 1406 21 4953 229534 24.5227 26.2116 28.0291 48.4966 13 13.8093 15 6178 14 14.9474 15 4504 159739 16.5190- 17 0863 17.6770 18.2919 189321 19.5986 20 2926 21.0151 225505 24.2149 26.0192 27.9750 30.0949 32.3926 59 1959 15 16.0969 16.6821 17 2934 17.9319 18 5989 19.2957 20 0236 20.7841 21.5786 224087 23 2760 25.1290 27.1521 29.3609 31.7725 34.4054 37.2797 72.0351 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 87.4421 17 18.4304 19 2014 20.0121 20.8647 21.7616 22.7050 23.0975 24.7417 25.8404 26.9964 28.2129 30 8402 33.7502 36.9737 40.5447 44.5008 48.8837 105 9306 21.4123 22.3863 23 4144 24.4997 25.6454 26 8551 29.4812 30 9057 33.9990 37.4502 41.3013 45.5992 50.3959 55.7497 128.1167 18 19.6147 20.4894 28.1324 19 20.8109 21.7967 22 8406 23.9460 25.1169 26 3572 276712 29.0636 30.5390 32 1027 33.7600 37.3790 414463 46.0185 51.1591 56.9395 63 4397 154.7400 20 22.0190 23.1237 28.2797 29.7781 31.3714 33.0660 34.8683 36 856 40.9955 45.7620 51.1601 57.2750 64.2028 720524 186 6880 24.2974 25.5447 26.8704 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 225.0256 30 34.7849 37.5387 40.5681 43 9027 47 57541 51.6227 56.0849 61.0071 664388 724355 79.0582 94 4608 113.2832 136.3075 1644940- 199 0209 241.3327 1181.8816- 84.5503 95.0255 107.0303 120.7998 136.6056 154 7620 199.6351 259 0565 442.5926 S81.8261 767.0914 7343.8578 337.8824 40 48.8864 54.2679 604020 67.4026 75.4013 W TABLE 4 Present Value of an Ordinary Annuity of $1 1 PVA= 10% 15% 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% 20.0% 1 0.99010 0.98522 0.93039 0.97561 0.97087 0.96618 0.96154 0.95694 095238 094787 0.94340 093458 0.92593 0.91743 090909 0.90090 089286 0.83333 2 197040 195588 194156 1.92742 1.91347 1.89969 1.38609 187267 185941 1 84632 183339 1.80802 1.78326 1.75911 1.73554 1.71252 169005 152778 2.94099 2.91220 2.88388 2 85602 282861 2.80164 2.77509 2.748961 272325 2.67301 2.69793 262432 2.57710 253129 248685 244371 2.40183 210648 3.90197 385438 3 80773 3.76197 3.717104 367308 3.62990 358753 3.34595 350515 346511 3 38721 3.31213 3.23972 3.16987 3.10245 303735 2.58873 4.85343 4.78264 471346 4.64583- 4.57971 4.51505 445182 4.38998 4.32948 4.27028 4.21236 4.10020 399271 3.88965 3,79079 3.69590 360478 299061 6 5.79548 5.69719 5.60143 5.50813 541719 5.32855 5.24214 5.15787 5.07569 4.99553 4.91732 4.76654 4.62288 4.48592 435526 4.23054 4.11141 3.32551 7 6.72319 6.59821 6.47199 6.34939 623028 6.11454 600205 5 89270 5.78637 5.68297 5.58238 538929 5.20637 5 03295 4.86842 471220 456376 3.60459 7.65168 7.48593 732548 7.17014 7.01969 6.87396 673274 659589 6.46321 633457 6.20979 5.97130 5.74664 5.53482 5.33493 514612 4.96764 3.83716 8.56602 8 36052 S.16224 7.97087 778611 7.50769 743533 7.26879 7.10782 695220 680169 651523 624689 5.99525 5.75902 $53705 5.32825 403097 10 9 47130 9.22218 8.98259 8.75206 8 $3020 8.31661 8.11090 791272 7.72173 753763 7 36009 7.02358 671008 641766 6.14457 3.88923 5.65022 4.19247 11 10.36763 10.07112 9.78685 9.51421 9.25262 9.00135 8.76048 8.52802 S.30641 8.09254 7.85687 7.49867 7.13896 6.80519 649506 6.20652 S.93770 432706- 12 11 25508 10.90751 10 57534 I0.25776 9.95400 9.06333 9.33507 9.11858 8.86325 8.61352 8.38384 794269 7.53608 7.16073 681369 6459236 6.19437 443922 13 12.13374 11.73153 11 3483710.98319 10.63496 10.30274 9.98565 968285 9.39357 9 11708 8.85268 S.35765 7.90378 748690 710336 674987 642355 4.53268 14 13.00370 12.54338 12 10625 11.69091 129607 10.92052 10.56312 10 22283 9 89364 9.58965 9.29498 8.74547 8.24424 7.78515 7.36669 6.98137 662817 451057 15 13.86505 13.34323 12 84926 12.33138 11.93794 11.51741 1111839 10.73955 1037966 1003758 9.71225 9.10791 8.55948 8 06069 7.60608 7.19087 631086 4.67547 16 14.71787 14.13126 13.57771 13.05500 12.56110 12/09412 165230 1123402 0.83777 1046236 10.10590 9.44665 8.85137 8.31254 7.82371 7.37916 6.97399 4.72956 14.90765 13 71220 13 16612 1216567 170719 1 27407 10 86461 1047726- 9.76122 9.12104 854361 8.02155 754879 7.11963 477463 17 15 56225 14 29187 12 65132 12 65930 12.15999 1 68959 11 24607 1082760 10.05909 875563 8.20141 77016 7.24967 431219 15.67256 14.99203 14.35336 13.75351 13 18958 937189 18 16.39827 1642617 15.67846 14.97889 14.323804 13 0984 13.13394 1259329 12.08532 11.60765 11.15812 1033s60 9.60360 8.95011 8.36492 783929 7.36578 4 84350 19 1722601 14.21240 13.59033 13.00794 1246221 11.95038 11.46992 10.59401 981815 9 12855 S.51356 7.96333 7.46944 4.86958 20 18.04555 17.16864 1635143 15.58916 14.87747 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 10.83553 10.01680 9.29224 S.64369 8.07507 7.56200 459132 21 18.8569s 17.90014 17.01121 16.18455 982258 9.07704 8.42174 7 84314 4947594 1648151 15.62208 14.82821 14.09394 13.41393 12.78336 11 65358 1067478 25 22.02316 20.71961 19.52346- 1842438 1741315 17 29203 16.28839 15.37245 14 53375 13.7648% 12.40904 1125778 10.27365 9 42691 8 69379 805518 497894 30 25.80771 24.01584 22.39646 20.93029 19.00044 18.39205 1840158 16.04612 15.04630 13 33171 1192461 10 75736 977905 8.95105 8.24378 499660 2735548 25.10278 21.35507 19.79277 17 15909- 40 32.83469 29 91585 23.11477 906 AM 9/16/2019
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