Future Value of Monthly Investments

6. Peter & Kelly is contributing $100 per month from her paycheck into her retirement account at work. She is earning 6% on the investment. If she plans to retire in 20 years, how much money will she have?

a. $46,204.09

b. $462,040.90

c. $24,000.00

d. $48,000.00

7. If Kelly continues to invest her money in the retirement account for 40 years, how much MORE will she have at the 40 year mark than at the 20 year mark?

a. $199,149.07

b. $46,204.09

c. 152,944.98

d. $101,101.10

Present Value of an Annuity

9. Kelly and Peter saved up $750,000 for their retirement. They would like to live off of this money for 10 years. If their investments earn a safe 5%, how much money would they have to spend each year?

a.$100,870.17

b. $92,468.16

c. $97,128.87

d. $63,240.97

What If Kelly and Peter end up living for 15 years on their $750,000, how much could they spend each year?

1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% 7.5% 8.0% 8.5% 9.0% 9.5% 10.0% 10.5% 12 1.0% Months 0.0839% 0.1250% 0.1667% 0.2083% 0 2.500% 0.2917% 0.3750% 0.4167% KERSTO 0.5833% 0.62.50% 0.6667 0.7083% 0.7500% KEEES O 0000'T 0000'T 0000T 0000'T T 0.8750% 1.0000 RESTED 0000't EE00Z 00001 0000't O 50CO% 1.0000 2.0050 0.5417% 1.0000 2.0054 00001 0000'T 10000 20046 00001 2 0000 t 52002 2 00001 2100 Z .0008 2.0025 2.0029 0000 5200 2.0053 2.0042 3.0125 0000 t 1200Z 2.005 3.0175 1.0000 2.00R3 3,0251 BB00Z E970 E SL1620 0000 6400Z BEZO E B2907 850 S E SC00'E SZOO'E BRODE 3.000 BETO E E90 E .0021 3.0063 4.0125 5.0209 2.00172 3.0050 4.0100 5.0167 6.0251 4 2.0062 3.0200 4.0402 5.0671 4.0050 4.0200 ISEO OSTO E TOO EOSOS TSEO 40427 40452 4.0524 4.0377 5.0629 5 E800'S 50125 VEEO'S 50376 5.04LR 4.0126 5.0545 6.08. EGZO'S GEVO 9 ETLOS 40276 50450 60592 7.0970 5.0592 6.02 6 6.0755 57609 6 1073 6.0125 7.0175 .0234 BRO 9 ENO SEO 7 4.01504 .0175 5.0251 6.0375 7.0527 7.0615 N.0704 9,1057 30.5323 63200 7 1685 95205 9ETt 9 5650 2 ZETTE 5.080 6.1254 7.1775 6.0502 7.0704 8.0940 ISEO'Z 65012 50ST 2 7.0439 R.O5R5 9.0754 22909 THHOZ 94118 SIST'S 7.1326 H.1772 8 6008 9 9112 ZGREB HEVCG 1.045R TRO 56218 59509 75204 BS0t 8 29E06 VOLT OT 9BOZ 1.1414 ZEZE 2 55958 GC6 82092 EESTE 54656 EZEZ'N 65066 6 t*0 6 2090'G SOGO'S ERZG 90455 10 0564 10 ta' OHZZ OT 10.0376 20.0753 GOZE'S ETSE O SE TE 10.1133 S68101 BOZ OT 10. 20 10.3054 ETTE OF 10 3835 06 650 TT ERROS HTET 9 59802 EGPC SECE 6 TEOPOT Tbytt 2952 GET N928 yt 5756 112556 HZOE TE 960 01 ESIT'16 SHET ZE 2891'E 11.1265 EOSE'IT 1760'16 9011 Zt HOTEL SHET'TT 7991 21 961'ET 12 8191 tt t Zt OOEZ ET TWEET 662 12.0552 E6526 BUZE O ONE TO RYZO TAT TE99 yt 11.4700 12.5656 112792 12.3355 12.2225 12 2506 12.3640 E tr 12 5076 ECE GHZZZ6 DOEKE SSHE'YE 10576 GESE OT 6577 59ES 21 BSE ET LEY Y 5098 ST 098691 2590 ETET ZE9Z ET 0690 tt BZROZE 6460 ET Eytty OZET SI GOST 91 ULEET 13.4649 FOVSET 12,4212 13,498 14,5R32 SESE ET BYCY 14 14,0761 14.1912 14.3074 14,4542 14,2298 15,2656 14.6231 OLEVET HEOS Y EZRSS 14,2685 15.3:02 9962 ET y 9 2007 ST OBS7 91 109 ET VEOL LETS ST ECE6 91 15.1763 LOZZ'S $985 SI SC 91 8HOST 7001 91 VEYS Y ERZOS 96149 ISSES E90 90 14.7842 15.9074 17.0400 9022S SZR 98 90291 SEOE 91 H95E 90 660596 16.6667 16.7723 BREDE 17.4610 16.6142 17,6973 18. 17.9376 1783 1R OW3 86 17 5197 15854 THETH1 188532 17.3443 14,3876 19.4336 20,4822 18 1925 192153 20 2193 2655 GORS 6 6E9C GT Sty of 50986: 36275 ES566 17.0941 1R 247 19.4033 205731 21.7531 19 20 20.142 19.1432 20.1591 IM.RO 20.1076 21.2332 LRETOR 19.277 20.3199 15 4909 16 9619 17637 10.7187 19 ROS 20.95 21 9910 23 0918 24 1977 25 YOR 18.4533 19.5071 20.5640 21.6240 22.6870 SET st E92 OC 10 te 20.6462 20.11 BREZ OC SO TZ 20.9791 20,4008 21.4433 HNTEEZ 21.0634 TRISTE 92tz EESTZ 20.4945 21.6656 22.849 240363 22 ORO 22.4609 ESETZ CORE 2 99 VEZ 22.1775 21.2926 DRZE SHONTZ N686 ZZ 95HO VE ZZ EZ T22 TZIZ EZ 9961 EZ 2019 12 21 8723 17 8:20 18.9209 20.033 21.141 22.22:5 21.4094 245379 25. 00 2630M 27.9974 29.9506 ONN 22 GESEZ SE22 tre SISESE 22 749 21 9790 25334 263172 Ott 12 O100 12 24 24.2314 22 5564 21.7162 24 2242 260604 27 2450 284140 22.5872 22,6437 24.7028 25.7646 26.1290 24 L2 24,4657 24,5839 6276 VE 24,6526 25.MOG7 26.9680 2015 26 5773 24,3106 25.4320 26.559 27.6919 24.7681 25.9232 27.9061 24 225 25.949 26.9704 9905 SC 25.0640 20150 27261 ISESC 26.0260 25.1859 26.2909 27.4004 29.5146 DES 2 66022 264103 27.112 991NZ N9Z RZ EOS 26 27 29 29. 0532 26.2726 27.2945 21.3173 26.5490 27.5932 28.6392 26.6HS 27,7461 24.019 27,6671 2.979 30.1387 2610 RZ 27 5657 286719 ERSEY OEN RZ 6667 29.3124 299711 30.1074 29.4754 30.6719 56692 POE 284777 ZEOZ RZ 2267 52 86 29.3309 29 9745 10 1470 LOZE DE 956OE 1968 22 596 HZ N EO DE ELITE 310292 ROZLE ETON SZ 6160 305752 PLETE ELETE VEE9 67 GOSZ OE OSRATE 31.6862 120619 62 OE TE GORZ ZE 600 62 159E06 906E TE R962 99EZ DE 1986 26 OE 31.4975 13 SES TE REZE EVELY RE E92R LE GROEE V60E VE 32 0817 33 224 67051 196711 GOES VE 21.7925 32.1911 32.6011 32 8087 E66 SEZOE OVOCE ESGEZE NOREE WERS DE ERRO 2SSO EE REZ E 35. 4350 367451 TRERT 32 33 34 32.4168 33.4639 34.4717 900R ZE ESGREE SIZZ'EE 20SE DE 9001'SE 35.5392 36.7251 979 TE 966V3E RONZE 35.3028 36.5235 37.7518 6E ZE O SE 1969 9990 34.1556 35.2978 36.444 37.5967 ISOT'SE SLO SE 460 SE 34.7107 35.7541 35.7999 37 3261 EOZORE LELE SE 37 69 THE EPHE RESSE SE 9E R7 6/17 OP TOOS SE 00E5 96 IZS6 R6 37.340 34.222 35.932 37.0540 201816 51.9596 66.2990 EESARE 40 7444 42 1009 EESO GE 95ES OP 36.5292 37.6206 50.9312 64.6457 77796 167924 17997 51.4421 6 9.4661 79.9999 53.0149 ESET 65 56.3499 73.4769 57.1456 78.4699 ROSTEN 000 5601 34,1241 34,9518 36,0101 36.2685 37 0101 49.9290 63,0474 63,4405 76.4305 77.5934 90.0 39 104,0128 106.1514 119.2228 120.9742 122.7197 136.1719 209.7131219.1235 294,2958 310.9747 399.8211 416.1752 9 696 GIVE"EG ERZO 6 32 200 32.4799 338719 34 GORS 35.7817 360264 36.2741 36.9606 372219 37.4957 184226 39.3351 54,0978 69.7700 70.6740 71.5929 H64089 87.7712 89. 1609 1040739 106. 0134 107.9990 122.8285 125.4773 128.1989 142.7399 146.2448 149.8589 163.8793168.4032 173 0949 290.8187 303.5448 316.9623 462.0009 490.4209 $20.9267 692.9900748 8265 810.0717 1.004 5150 1.105 1781 1.219.970 1,424.7103 1,500.3162 1,801.0546 2 1991.4907 2,283,61892.624.81343 52 2669 75.2902 BR5102 101 9799 115 5522 129 1303 201.7174 279.6848 361 7206 96.7542 112.9185 129.7415 ESCO 26 EET ZIT 9898 EET 60 61.4990 72 74.1720 94 NG.9723 96 99.9012 108 112.9599 120 125 1499 180 194.1140 240 265.5612 300 340.6701 360 419.6282 420 502.6329 480 589.9915 90.5788 110.0319 130.9951 153.5859 123 7943 149.4765 0915 326 36.7542 35 2062 15.7755 36.0148 370289 37 5432 18 1912 38 5646 39.1188 39 5624 40.46 41 1527 56.9315 57.5207 59.7225 74 4424 75 4241 25 4222 77.4371 95 5435 99.1113 114 2446 116 4269 118.6518 120.9904 136.8215 139 8562 142 9752 146.1811 161 3939 165.4832 1 69.7017 1740537 1935143 199 0807 204.8490 351.7864 378.4068 395 9496 414.4703 526.9990567.8869711 9235 759.3583 1032 05831.121 12:9 1219 03 1.326.8334 1.550.7057 1.830.74352.033.0852 2.260.4879 2.595.5663 2.941.7845 3,339.4630 3,796.5381 4,038.6523 4,681 3203 5,435 29196,324.0796 58 R20 BS 0714 102 1794 120 2503 139 3405 159.5076 278.7456 435.5274 5 420374 909.3474 123.9093 139.7414 226.9727 329.3020 446.0078 95206 115 2972 132 8446 151 1991 2 56.4147 388. 1244 5 52 9940 110.6025 126.7307 143.4325 236.2860 346.8693 478.5676 83.7643 100.3297 117.7405 136.0432 155.2923 267.2889 411.0337 995.5097 232.2586 1,136.09241 1526.0202 246.0905 356.7746 $14.1295 157.4295 192.9460 346.0392 $89.0204 951.0264 1.490.3594 2.293.8925 3.491.0079 210.8:49 434.0299 810.5049 14454699 2.516 4010 246Z 757 SEZ ZRSS29E SESSZE 25 42. 59 60 569 553.7307 8 77.2609 1347.4454 ,030.7520 ,023.9222 90 652 19 ETC ERES ZZE 551 9238 5 57. 1490 607.5478 7 34.4356 670.4125 823.4187 741.5637 926.0595 822.2064 1.044.6669 913.73091,017.7420 1,181.96131,3411507 ,270.9234 1,7410396 7,359.0436 9% 0.9:74 1.7591 13% 0.850 52680 14% 0.8772 1.6467 6% 05434 18334 2 6730 3.465: 42124 49173 7% 0.9346 1.080 2.6243 3.372 4.1002 8% 0.9259 1.7833 2.5771 3.3121 3.9927 10% 0.9091 1.7355 2.4869 11% 0.9009 17125 2.4637 31024 3.6959 42305 2 .4018 3.0373 23216 0.8695 16257 22832 2.8550 3.3522 2.3512 2.9745 3.5.72 3.2397 3.0897 2.9137 3% 4% 5% 0.990! 0.3804 0.9709 0.9615 0.9524 19704 1.9416 1.935 1.8861 1 8594 2.8286 2.7751 27232 39020 3.8077 3.7.71 3.6299 3.5460 4.8534 4.71354.57974451043295 5.2421 2234720 621036.0021 7866 76517 7.3255 6.2327 6.4632 R5660816227.786174353 7.1078 9.4711 80R26 .5102 .1109 7 .7217 103676 9.75 9.2526 R.7605 R 1064 11 255 10.573 9,01409 1851 863) B109'E 43553 41604 5146. 5.534R 5.9952 9 5.7590 5.97. 3 .7466 6.80176.51526,2469 7.360: 7.0216 6,710! 7.49877.1990 38 79427 7.5M! 5.6502 5.2161 501R 6.4951 62065 6.4924 12 7.1807 1M4 5.8603 54205 14 71229 16 17 16 14:36 7.1196 80216 8.2014 748 7 2016 60472 51280 6.1982 99 21 8.7715 7.6446 7.1695 6.7429 130037 17.1052 1.2961 10.5631 98986 2050 87435 .2442 7.7862 11 AGS: 12.149) 2012 14.7179 13.5777 $2.4611 11.6523 10.8378 10 109 9.4466 2.8514 15 562314.2919 13.1661 12.1657 11 2741 10.4771 9.76129,1216 16398314.9920 3.7535 12.559311 6996108276 10.05919,37:9 172250 15.678994.3238 13133912 0853 11 1581033569.6036 180456 16.3514 14.8775 13.5903 12.4622 114699 10.5940 9.8181 R520 17.0152 152415014020212 212 11 7641 10835510.01689.7922 19 6604 17.540 15.9369144511 13.1630120416 11.051210.2007 9.4424 204558 18 2922 19.4436 14956813 4886 12 3034 11.27220.3711 9.5402 21 2434 189139 16.9355 15.2470 13.7985 12 5504 11.4593 10.5299 9.7066 22.0232 19,523517413115.221 14 0339127834 11.6536 10.6748 22.795220.1210 17.876B 15.982B14 3752 13.0032 11.8258 10.8100 9.9290 20.7059 18.3270 16.3295 14.6430 13.2105 11.9857 10.9352 10.0266 243154 21.2013 18.754116.6631 14.898113.4052 12.1371 11.0511 10.1161 25 0658 21,8444 19.1895 16.9837 15. 1411 13.5907 12.2777 1.1584 10.1993 25.8077 22.3953 19.6004 17.79201 5 1725 13.7648 12.4090 11.2578 10.2737 29 4085 24.9996 21.4972 18.5645 15 3742 14 4982 12.9477 11.5546 10.5668 32.8347 27.355 23.1148 19.7928 17.1591 15.0453 13.3317 31.9246 10.7574 35.0945 29.4902 24.5187 20.7200 17.7741 15.4558 13.6055 12.1084 10.8812 39.1951 31.4236 25.7298 21.4822 18.2559 15.7519 13.8007 12.2335 10.9517 81757 82664 83 53587 63988 54319 6464: 7.7843 7.2829 52351 9.0770 6.9061 94299 8.6016 86301 8.6939 38552 8951 9.00798 90417 7.9844 80218 8.0552 81755 6.9607 5.9930 7.0027 7.0700 7.5956 5.5333 5 5309 55650 56155 56418 5.6543 56605 .2825 45 SO 9.8628 .9143 7.5509 7.5752 7.1232 71327 9