Exercise 5-13 (Static) Solving for unknowns; annuities (LO5-9) For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (/= interest rate, and n=number of years) (FV of $1. PV of $1. FVA of $1. PVA of $1. FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar amount.) 1 IS Answer is complete but not entirely correct. Present Annuity Value Amount 11,970 S 3,000 8% 5 242,980 75,000 9% 4 161,214 20,000 15 500,000 80,518 6% 8 250,000 78,864 10% 4 2 3 9% 4. 5 TABLE 1 Future Value of $1 FV - $1(1+0 601 7.04 RON 9.046 11.09 12.046 NO 2009 120000 w 100000 1.12300 1.54 104 2.5% 104 3.59 4.54 5.04 54 1 101000 101500 102000 10200 103000 103500 1.04000 10400 15000 10500 2 1 2010 1.09022 104040 10500 10000 107123105150 100 11000 11303 3 100 104566106121 107619 09273 110872 11240 114117 115763 1174 * 104000 1.00136 103 110381 112551 11415 116 11922 131551 12382 $ 1050 107728 1.10408 113141 115927 1.1879 121605 12418 177628 130096 107000 1.14490 1.22504 1310 1000 116640 1.25971 1.36019 1.46933 10.0% 1.10000 1 21000 133100 146410 161051 109000 1. 1810 1.29503 141156 1532 L11000 1.21210 1.367 1.51807 16RSOS 1. 12000 1.2540 1.40193 1.44000 1.72800 1.19100 1.2624 13323 207360 1.57352 1.7234 140255 2.482 1.77156 1.87041 298598 14182 150363 159335 1689 1.79035 1.50073 1.60578 171819 183846 1.9715 6105152 0944 113616 19 19105 122935 136532 130226 13401037884 7 10714 1094 114809 189 22987 27228 131593 16 140710 1A5168 #1076 112019 117166 021840 126671 3161 36157 142210 14716 15400 9 1099 114399 119509124886 30477 136290142331 143610155133 1 61909 101 102 116054 121 128008 134392 1:41000 148094 155291 169 170814 1.67710 12304 1.99256 15867 1732 135093 199900 1972 2140359 2.35795 207616 230454 1.97382 2.21000 2.67596 2.77308 OSES SEIS 42992 515978 6.19174 2.17189 2.36736 255804 289942 215692 259374 233164 34 743008 8.91610 11 111567 117195 124337 131209 138425 145997 1.53945 1.625 1.71034 180209 1896 12 1.1305 1.19562126824 1.34489 142576 151107 160108 109588 179586 1.90121 201220 13 113809 121355 1931 13751 146859 15695 166507 177220 1.88565 200577 213293 14 114947 129176 131948 141291 1.5129 161809 1.73168115194 1979932.11609 2.20090 15 116097 125023 134557 14480 155797 167535 1.0094 1998 20789 22324 239656 21045 225219 240985 2.57853 2.7903 25800 201306 3.06500 3.4173 3.6438 4301 25312 3.13843 3.657 3.79750 251817 27192 293719 317217 315176 3.49845 3832 1044 10 9932 123918 15.40702 417725 678459 5.47357 3.97031 53109 9509 16 117256 120899 137279 148451 160471 173299 13728 202237 218287 235526 17 118430121802140024 152162 165285 7946 194790 211338 229202 248480 18 119615 1.10734 A23570043 19262582 2.245 240062262167 19 2011 2005 1.45651 159865 L75351 1950 2.10065 230786 2.52095 2.76565 20122019 1346361A839 1632180511 190979 219112 241171 265330 291776 142594 3.70002 02 613019 636604 2.69277 2014 3.0250 5.0547 3.55992 3.37993 654355 1846843 22.18011 266333 31.94800 33700 361653 471712 5.14166 5.60441 431570 8.61270 611591 6.72750 466096 800231 21 123239 1.15706 167 1679 168029 20943 27251024278596 307823 414056 503383 6.10 74003 1917 10:30185 460052 25 1145 1.45095161001 2003 2004 200514300543 33863581339 429187 86230107135254617.00006 3785 15690 M 277 276 20679 340 34532 47194 49895 761230 1000366 132673170222029972 237331 LA 100 101460 14 40103310681310257144162174523.4452516680079300 1400 160 TABLE 2 Present Value of $1 $1 PV (1+1) NE 97 2.046 L046 1.596 2.046 3.046 40 Son 6.09 7.09 8.646 9.0% 10.04 11.06 12.04 20.0% 1 0990100952209039 097561 097087 096615 096154 0 95694 095238 094787 0.94340 093458 092593 0.91743 0.90909090090 0.89286 0.83333 209803097066 09117 095181 09360 093351 0.93456 091573 090703 0.1945 019000 0.87344 085734 0.84168 0.82645081162 0.79719 069444 30.97059 95632 0.22 09860 091514 090194 8900 0.87630 036354 0.85161 0.83962 0.81630 0.79383 0.77218 0 75131 0731190.71178 0.57870 40.90098 0.94218 092 090395019 087144 085450083856 012270 080722 0.79209 0.76190 0.73503 0.70543 063301 0.65873 063552 048225 5095147 093826 090573 08385 0.36361 0.84197 0.82193 0.80345 073353 0.76513 0.74726 0.71299 063058 0.61993 062092 0.59345056743040155 6 0.94305 0.91454 0.58797 6.862.30 0.374 0.81250 0.79031 0.76790 0.74622 0.72525 0.70496 0.6664 0.63017 0.59627 0.56417 0.53464 0.56660.33490 70.93272 090103 0.87056 054127 01309 0.7659 0.75992 073483 071008 068744 066506 0.62275 0.58349 0.54703 051316 0.48166 045235 0.27908 $0.99348 08771 085349 0.82075 074 075941 073069 0.70319 067684 0.65160 0.62741 0.58201 054027 0.50187 0.46651 0.43393 0.4058 0.23257 909144 0.87459033676 01007 0.76643 073373 090259 067290 064461 0.01763 0.59190054393 050025 0.46043 042410 0.39092 016061 0.19381 10 090529 0.86167 0.82035 07120074009670892 0.67556 064393 061391 0.58543 055839 050035 046319 0.42241 0.3854 0.35211 0.32197 016151 11.89633 0.84895 0.80436 0.76214 0.72242 0.65495 0.64958 0.61620 346 655491 0.53679 0.47509 0.4355 0.38753 0.35049031728 0.28745 0.13459 12 0.66745 0.83639 0.7490.74356 0.70138 066178 0.62460 05966 055614 0.52598 0.49097 44401039711 0.35553 0.31663 028584 0 25668 011216 13 07866 0.63403 67703 072542 06095 0.63940 060057 05642753032 049856 0.46884 0.41495 0.36770 0.33615 0.28966 0.25751 022917 0.09346 14 3996 081165 0,757 0.70773 060112 0.61778 0.5774 0.53997 Sool 0.47257 04:30 0.38782 0.34046 029935 0.16133 023199 0.20462 0.07789 15 0.10135 0.79985 0 14301 69047 0.64186 0.59689 055526 051672 04610304193 0.41727 036245 031524 0.27454 0.23939 020900 0.18270006491 16 0.8511 6.750 0.7234567362 0.62317 0.57671 0.53391 6.49449 0.45811 04:45 0.39365 033873 0.29189 0.25187 0.21763 0.15839 0.16313 0.05409 17 144 77639 0.71416 0.65720 0.60502 0 55730 051337 0.47316 041530 040345 0 37136 0.31657 0.27027023107 0.19784 016963 0.14564 004507 18 035003 016491 070016064117 0.58739053536 049363045280 04152 038147 0 35034 029586 025025 021199 0.17986 0.15 0.13004 003756 19 0.114675361 068643 062553057029 0.52016 047464 043330039573 016151 033051 0.27651 0.23171 0.19449 0.16351 0.13763 0.11611 0.03130 20 031954 0.14342 067297 061027 055368 50257 045639 41461037689 034273 031180025842 021455 0.17543 0.14864 0.124030.10367 0.02608 210.31141 073156 0.65978 19 53755 6.48557 6.43883 39679.35894 033456 0.29416 0.34151 0.1966 016370 0.13513 0.11114 0.09256 0.02174 40.781570054 055288 0.49193 0.43796 0 39012 034770031007 0.27666 024095 0.1975 015770 0.12640 0.10153 008110 006588 0.01258 35 07197 090609530.53919 647761 042315 0.37512 033273 029530 0.26233 23300018425 0146020.11597 009230007361 OOS882 0.01045 28 0.756640680106411008 0.43705 038165 03348 629157 0.25509 0.22332 0.19563 015040 0.11591 0.08955000934 003 0.04187 0.00607 29 0.14934 0.619365311042435 0.36875 032065 0.27902 024295 0.21163 0.13456 0.14056 0.10733 0.08215 0.06304 00484900378 0.00506 39.74192 0.6116 0.38107 04674 4119 035628.7033 0.26700 0.2313 0.30064 0.17411 0.13.37 0.69938 0.07537 0.05731 0.04368 0.03333 0.00421 31 058 0.63031 05412804051039719 0.34433 029646 025550 0.22036 0 19018 0.16425 0.12277 0.09202 0.00915 0.05210 0.03935 0.02980 0.00351 46 067165 035136 0.45289 037243 0856025357 020839 017193 014205 0.11746 0.09722 0.06678 0.04603 0.03154 0.02.209 0.01538 0.01075 0.00068 TABLE 3 Future Value of an ordinary Annuity of $1 FVA 1 I-.U+1) 11.046 9040 10.096 3.09 7.69 955 50 10000 00001 3.59 2.59 104 10000 21100 1.09 10000 21200 0001 1 0000 20700 1.59 10000 30.046 10000 27000 3.6400 53680 10000 10000 00001 00000 10000 20400 6.04 10000 20600 3.1836 43746 20500 1 10000 20900 32751 45731 10000 20800 31464 45061 IVE OSCOS 000 2015 10000 3.0450 S 1110 4270 10000 20100 3.0301 VIZE 20150 10000 20550 31680 43423 5.5811 DOO 190 SIZE 31049 4.7097 6060 0119 EOLE SEO 3 74416 SESTS TOI 9SZSS BUS 42149 66 LOSS 47405 ISOT 1558 50756 1535 3.2565 5.9547 ESTO 6060 IZSLS 4.1210 40664 5.1666 TES $4701 4103 $3635 $ 1091 DOS OLOS 6666 SEEL 7.7156 6.7169 TS9 9.733 ISTIT OBOT LOSTI 6.6110 6.5501 6.4644 6.8019 $1430 6.3081 STESS 12.9159 16.99 6.2296 9 6.9753 83938 98975 2610 OEST SEITE 78933 65EP II 6.3877 75414 S7561 76625 74145 OGTE L FREEL FOOT 6 SECO II OICO E 6261 SE 7.7794 9 OS 16956 10.6366 124876 36540 10 2598 119760 136164 GO 3.2669 9.7216 11.2563 126754 S5690 11 594 14 1640 16.7230 889 00386 ICOS DE CEZI 147757 17 57 SOLSET PLESSE LEE 1611 ZH26 16556 BOSO S89601 1900 I BI69 I MICI 110366 12.5729 13 1808 599566 SO 6 SL6 LOSON COOL COO 01 TISS POST TE SOS SE 14716 LIE 890E PE TLIGST 16.6455 19771 15.7836 17 S 11 11.568 5633 10.16 12.4835 12.8078 13.1420 13A64 12 12081510413/134121 157956 141920 14.00 15.0253 14.5835 16.3856 182866 20 2026 154540 19.5614 227132 26 2116 10 09:49 ESGP TL 175663 201407 22.9534 60192 293609 LES PE 16 8699 18.5821 21 0151 23 2760 996 6561 65 TER 160 96E TE LOLELE 665 20.1406 22550 OULD 61 9ALS IT TR2 OSLE SELETE OPICR IZSTLE 1991 OKI1 8419 SV OSV 1089 90 CV CL VOSSI 16 61678 OLLS LL 90 CD DELS SS TOOLSET 6 6 61161 LES 344054 ISEOUL 1986 LONTE 062USE TIPLE STED 33.0034 SUSTE 2461 21.7193 20 M ISLE COMO LELSE COSE 25.6735 28 2129 30.9057 1059306 1361167 POP 164 SPEEL OILS DE ESTE CON 6 HY YOU WILL CLOCOL DOLL L 1010 0011 55797 LOPOSE POP 6655 1651 OSLELS COSE 1997 IP ZESPC 161 BOOS GEOS S6695 BE 41011 460185 51 1601 63.4397 790 1547400 1860 305 LOTTE 119.6147 2048 204122233 234144244997256454 1936 1092 1961 OOOLTE 9 OLELE S5660 457620 9171 330460 TOLD USERS 0016 E LES FOLH55 VELOCE 35.7193 33.7831 610071 377561 724155 11232391 244 2.1 17.1333 25.6765 36.7093 319691 30 565151405041907/473754316221 560049 LEG WI CO SE 65 Soest 19 661 OCOLE DE 682 01 SEO 6 OSCOS 60 29 OCCES WISE 56.7645 64 7241 9440081137332 16.30751644901990209 3413327 581 787091478438578 TABLE 4 Present Value of an ordinary Annuity of $1 1 PVA ! Sver 8.04 7046 6.04 404 3.46 2.046 1.54 15 10 5.596 09477 209 0909 093456 9340 0.965 1958 097561 192142 091057 1.91347 091 1990 096154 1.350 1 099010 2 197010 3 294009 4 90197 5455345 194156 4.546 5.04 0.95094 09233 187367 1.55941 2.4896 2.72325 3.58753 3.54595 438998 4.32948 154632 269793 3.50515 904 LOS 120 20.0% 091743090909090090 0.89236 031333 1.75911173554 171252169005152778 253129 2.486852.4371 2.4013210643 3.219723.169873.10345303735 258873 3965 3.79079 3.6959060478 2.99061 092593 10336 257710 331213 399271 ZEER 26 2011 3.71710 2.77500 369990 18139 2.67301 346511 421236 291130 38503 478064 1.80302 26432 338721 410030 2.80164 36730 4 51505 376197 CLOS 427020 4 TEMO 464583 445182 457971 4973 6 79545 LLOS 3.50145 5.41710 SOS 64919 5.15787 S69270 4.76654 5.9 S.569 5.73637 6.46321 7672019 6.5901 647199 6 23028 5.58238 6 20979 5.3185 5.34214 611454 6.00005 63739673274 7.60749 7.4353 831661 811090 4.62355 520837 5.74664 624689 6.71003 44859143552643054 411141 32551 5. 01295424712205637660459 5.53253303514612496764 313716 5.99525 5.759025.537055.325403097 641766614457 8893 565022419347 6.5959 745593 701909 7.17014 5.68297 6.33457 6.9530 753763 732545 816214 8 165161 9 356602 597130 6 51523 CSOM 7.97087 875205 77911 353020 726879 7,91222 7.107 2.72173 6.80169 73600 709358 10 9.4710 BE6 39259 78867 7.49867 71 HASE 338384 885265 7.94269 335705 753608 790375 11 10.367 10.07.12 9. 9.51421 9.25363 9.00 8.52892 0441 3.69154 12112508 1090750 1057534 1025736 9.95400 966333 9,13507 11 861352 13 12 1134 1173153 104 10.98319 10 63496 10.30274 9.98165 968785 91357 9.11700 14 13000 1250 12.10605 1909 11 295011092052101 102 989864 958965 15 158505334335 12 54926 12 38136119379 11 51741 111019 10.0955 19 379561003750 60519 6.49502065239377031706 7160736.813696.69236 6.19437 443922 748690710336 6.70987 642355 453365 7.78615 7.3666695187 662317 461057 8.06069 760608 7.1908761036 467547 8.7454 314414 929495 9.7123 9.10791 555945 3.85137 9.12164 9.37189 16 14.70781 14.13136 13.3771 13.05500 12.56110 12.00413 1145230 11.2402 10.89777 10.48316 10.10590 9.44665 17 15 59 14.90765 429187 1371220 13 1601212 65132 12.16567 11.70719 11 2747 10 36461 1047736 9.76322 13 160 1567256 1499703 1435336 13.75351118963 12.659301215999 1169 1134607 10827001000 19 17201 1643617 1567645 14978914323301370954 13.13394 12 593291208532 11.607651 15812 10.33560 201504559 1.1664 1635143 15 016 14.87741 1421340 13 590331300794 1245221 11 9503114613 10 59401 3.31256 781371 7.37916 6.97399472956 8.54363 02155 7.5479 7.11963 477463 8.75563 20141 70162734967481219 8.95011 5.36492 7.63929736573484350 9.12855 3.51356 7.96333 740944 436958 9.60360 981815 21 18 359 17.10014 17.01111 16 154551541502 14.697971401916 13.41473 12.53115 1117534 11.76405 10.83553 10.01680 9.29234 3.6456 3.07507 7.56200 4.59132 25 2202316 20.71961 19.52346 184341 174131516 48151 15.670814211409394 134139312.7833611.65358 1067478 9.82258 90770484174754314 494759 3025 071401564239646 20 93029 19.60044 18 392051729203 16 1915 37245 14.58375 13.76483 12.40904 1125778 10.273659.42691 869379 805518497894 40 2349991585 2735548 2510778 23.1147 21.35507 19.79277 18.40158 17.159091604612 15.04630 13:33171 1192461 10.75736 9.77905895105 82878 499660 TABLES Future Value of an Annuity Due of $1 (1 FVAD (1) 10.04 11.09 12.09 09 SOY 5.546 7.01 10 SUS 1.54 09 ST IN 2.09 45% 10450 5.046 10500 9.04 1 0900 11100 1.0800 COOL 1.050 10700 1650 20.09 1.2000 26400 OSEOT 1 00101 LOOT 10156 20452 10600 21816 0001 QIZI 10300 20909 3.136 21464 23100 20004 1.1200 23744 37793 70756 21680 COLZ IT OEIC TEZ IELSE 21525 33101 43680 30604 5000 31210 36410 153 32465 HITE 32782 CHCE 3.374 3.5001 4.5666 TERET LGO BES 62169 SES 4 41010 EESI OROL 4963 1606 SOE 44163 44707 5.7109 OSES 61095 45811 5.8881 46371 59759 LOSZT EEST 1961 RESO ISOTS 91 9119 66263 7.1152 5158 960 RES 5 S4654 53871 5690 COSS'S SED . FEE SEIE 06 63130 7.1410 6.5474 7,0191 701 7.3035 7.600 7216 PE SHOP SIGIT IGP SI LSCE 7.7361 32142 5463 96106 ER TOLL DERS 6 LISON OS SI56 16516 5196 BE6 1900 HELSEVOL HOCOL 6768 3.4871 104959 125795 7438 50 9797 137757 SEE 103 LOG 11 10.0766 11 5779 10.256) 118754 9.2598 10.9780 120164 147836 11 416 134566 10.8594 13.1640 15. 18.5614 12.0210 141929 16 500 994623 12.1800 249587 16 5487 PLES LESLI 10 10 10 1681 1145 110 12 1420 12464 12.9412 BEI SESSI 9116 SS1951 905961 31. 1504 ASCOT BLOOT LET TIVITI SEWILI 14.40 147 SI HE PECS LI 20.354 23537 16 16 10 12 1201 12300 601 141404 146178 15 110 16305 111444 445 449739 15.510 1686 166720 172019 19. 1400 2150 ILLET CSGO SHERE 12 LETTE STIESE HO IEEE 1600 96 11 LOPES STE Cotos 600 HOO 17 20 0151 22750 246725 WE ILGI 1 24.1290 PE LS616165E 61669 160 So 01661 GOST61 CORI O 91 st St PORCE OSLO SELLE LEH 20.5786 26575 36.2797 41.7533 1 ISOL HER 236411 381899 16 17:4304 1.2014 19.0111198647 20.7616 21700 21.097 POTEPE 15.9964 27.1110 SOOSE TOLT TOS LELES KTE OF 284811 SSGE 5 LINE ISSUE SE HICE 1981 LIVE FULL 9690 I OLE LE FOTO E 06 61 SOL LOL TER SOT to TOE 25056 0092 5497 18 19109 207167 2346 229460 21109 25.3572 26.6712 104.300 1271167 1537400 06656 COM 0566 OGLEDE 556666 SO LOOLIC 03 LP 166 165TDS OSLE 9 SCOOED 4515 50.1001 566655 303714 0900 TE OSE SE 44100 SOT OS 327831 COM RE 71851 30697 STEENETE E DEVE FEEL RESE 1156 15.3034 37.5053 43.3933 54.4563 70.4027 0.143 91 501 35265756 051016709350117 37553003131433117 655706 SO 1135 533600 561564 67.6765 30 35.1321 38 1013 414500030027 53.4295 58.383 69.7608 76.4194 83 80171010730 12.345985752 180 042309132270 935 145 1579 404915250190161000816 76633 875095 95 1113467 126 1441189 1440477213.6096 279.7810 3652919 486351864582691501041812694 HESL'E TABLE 6 Present Value of an Annuity Due of $1 11 PVAD x (1) 5.54 S06 10 4.09 2.09 1.54 100000 2.54 100000 5.04 100000 09 000001 100000 100000 000001 BOLT 00000 EN161 196522 195061 1.98613 60851 OP161 BE2561 100000 195694 287267 1 100000 2 199010 3 297040 4 394099 490197 SOL 00000" SWEET CONOSZ ZERO 100000 196154 233609 3.77509 1.00000 194787 2.54632 S08 000001 ESCI SELT OILLSE CIZIE 10.0% ILOS 11.09 20.0% 1.00000 100000 100000 100000 1.90909 1900901.89236 183333 2.73554 271252 2.69005 2.52778 348685344371340183310618 416987410245403735.56873 294156 EST 289059 LR16 1988 11556 O216 ES 285941 3.72335 2.75911 3.53119 338358 385662 WEE 380164 467308 GEESZ TOELDE ISO 3.69193 450515 480773 476197 $ 471710 06529 ESLIS SOS 436721 5.78064 71346 5.64583 $38998 LEGO SOS CRISTS MICRO ( 5.10020 5.76054 6.5081) 6 585343 7 6.79545 3772519 165140 95600 5.57971 641719 723028 6.15787 609719 2.59521 660143 7.47199 5.51505 6.32855 711454 787396 160709 714919 4.7907946950 4.60478 09061 535536 521054 511141 432551 5.56542571320 5.56376460459 6.33493614612 5.96764 433716 OLOS Sons SOLES PETITS TELUGS elus Coco LELO L60899 BECAS ITED LSPEL OCES6 700005 7.73274 GICO 5.62233 2011 6.74664 724689 6 48593 WS 60610 6 8.17014 391061 720919 7.016 6.97130 7.51523 562609 IMO 15669 OL SODE 6 9.16.134 11923 GE 10782 LGOCOS SED SOLESO C0659 8.36000 SEO LET'S GOSPEL COS CO 110.471.36 101213 9.98150 9.75106 9.3030 931661 9.11 3.91171 8.72173 8.53763 12 1167631107112 1078585 10 51421 102526210 00155 9.2004 10641 10 61 10.15 2,56125 98 14 110374 127303 1903 11696 11102110986 1985 1039357 101 18687 934 49567 94309 7.71003 8.13896 851608 890178 LIFE ISOR ELODE OG (1 560 NLSE II SC 152061 BOSTE I 7,29506 720652 693770 532706 781300 749236 719037 543922 10336 7.7987 742355553360 0979018762117 61057 9.35305 SE OLISI SI LOTI CORSE 1 102 HE NE 6 16OTH SWOTE WALE SCRITTI I LETI NOSO 17 1717 1511614514000 1350110 011122330121140133771 1146116 11 1050 10400 16 16.5625 1.6 187 14.7122014.166121365137 13.16567 12.70719 12.707116611147736 10.7633210 12164 SMS LEIS 8.60608 1907 78100 67547 82371837916 79719572956 9.000 9 31256 9.54363 9.15563 COLLEGE DOLERII LOTI 66 0659 SE DESEST SELLELE 6 CLS 611 SS16 GICIES TO THE 30 118011741011 166786 1597891532180409841413394 39319 30 12.60705 12.15812 11 3360 10.60360 10566 9.360883939 678 5.34350 SST SINO SI ESTE PLOTI O PIESE LES 6 PSELE SISSE 1990 ICS IGLESS STEEL SEU 6516611 EEE TIMES THIS T1096 TOCOL STILLE OGSHOES COM 6100 LS S SSESSE SOLER 600 06 9606 65665 GOES COSES DOS ESSETI SRBI SCHLOSSUI RO108 FREE OSOITE OLSE 100