4 5 Calculating Present Value of a Future Amount What is the Present value of $95,286 using the data below: 6 7 8 Years Interest Rate Future Value Present Value ? 9 12 4% $95,286 10 11 PV of = Lump Sum 12 Present Value 13 14 15 16 17 18 19 3 Calculating Annuity Future Values 6 7 Calculate the future value of an annuity that has: Annual Payment Years Interest Rate $9,355 9 5% 8 9 10 Future Value of an Annuity (FVA) 11 per year Future value of Annuity 12 payment 13 14 15 16 17 18 19 D 4 WS 1 155 1.50 2210 2.75 . 1.500 2.174 2610 11 19 2022 3:48 3312 4078 4.383 4414 46 BE CITY 03 PES NOP Present value interest factor of an (ordinary) annuity of $1 per period at i% forn periods, TABLE 4 PVIFA(n). Period TS 5% 99 10% 090 11 134 125 144 04 15% . 0.02 0938 0026 a 1970 0.900 0.101 . DATO 0.362 1342 1.355 13 1783 3 1.750 1730 1.703 tero 2. 166 2.029 1941 2.54 2.775 1.620 1005 2.23 2013 204 2.IT 4 2.591 24T 1444 2003 2.361 212 2002 2783 2.248 100 3717 2000 31540 3.465 917 2312 1140 3.10 3.102 4 3037 2014 2014 25 2TH 47 4 443 4129 4311 4.100 3903 31 3.00 . 741 343) 1214 341 1601 3.070 4 32 4707 40 444 4355 4.231 4111 3.01 100 365 7 . 714 6472 8.250 6.002 STE 12 S. 9.200 5.033 450 4.712 4564 4433 8 4.200 160 4031 76 3 7.00 6.733 43 216 OPI 5.747 5.535 115 . 4160 4.618 4487 4344 7TH TASS 7.100 6.15 8.750 1.331 411 4. Or 10 1536 72.722 70 7024 6710 418 5.145 11 103 100 5420 5019 0.67 0.250 760 06 7.301 743 7.130 6.435 6.207 SET 12 11350 5453 5.254 10.373 954 2.300 33 304 790 7.5 7.101 16 842 1 8.860 541 13 12.14 8.107 114 10035 16 9.394 3853 35 7,964 761 7.103 6.750 6424 122 8342 14 SA 13.004 5342 12.100 11.20 10.163 . 9.200 5145 1.244 7. 73 6. 15 6.302 C.002 13. 724 1.400 11.30 11.110 10 30 9.712 9.10 35 7.60 7.18 6.11 LA 0.142 1541 3.575 16 14718 $3.578 12.51 11.652 10830 10.100 9.441 8.65 13 7.824 7379 6974 6.604 6.266 5.954 5.60 17 15 5 14203 11.16 12.168 11274 10.477 9.763 122 8.54 8.023 7549 7120 6.373 6.042 5.749 18 10:30 14.09 754 12.650 11.00 10.328 1000 173 EL754 3.201 7.700 7.250 840 8.467 120 SIR 17220 15.670 14134 13.114 120 11.15 10.30 3.604 950 8.36 7838 7.366 6.550 190 3817 20 18.04 16357 14.877 13500 12.462 11.470 10 54 18 8.514 7.963 7469 7025 6.623 6.50 5.929 25 22.023 120 17.413 15.022 14.094 12.763 11654 10.675 0823 9.077 8.432 7843 7.330 6373 6.464 6097 30 25.000 22350 19.000 17 292 15.2 13 TES 12.490 11 354 10.214 9427 &N 8.055 7430 7003 8.504 6.171 29.09 24.99 21.487 18865 19-374 14.48 1234 11.655 10.567 0644 3114 7.586 7.00 67 6215 32.833 27.355 23.115 19.793 17.150 15.646 13.312 1125 10.757 3.779 3.351 5244 7.634 7.105 6.642 6.233 50 2018 3104 25.730 21.482 18254 15.12 13. 801 12233 10.902 9.915 9.042 304 7.575 7.133 6.661 624 13 16 15 10 1 13 16 4451 4650 403 4 5118 220 34 5.405 5.478 5.534 51584 2016 B 0.833 1.47 1.12 2.140 2.16 2819 2500 301 2011 1410 3.120 3. 1.00 3954 2837 4169 4601 43 41 4418 4.327 4611 440 4.715 4933 4.800 4611 4376 LOTS 47 4.775 4.312 500 41 1.100 420 3.19 4948 5219 4919 5.251 5.255 5252 4.510 3.000 5010 5.162 5.222 065 COS 5.27 E 1 20 21 22 23 316 $35 5.16 N 5.82 SSBE 25 28 22 5.IT 55 5.543 6667 Period ST SG 100 1000 19 1.000 2010 3. 4.60 1.000 178 1000 2.50 2330 2 1.100 2.100 20 1722 1.100 1110 20% 1.000 2200 160 11 000 2.050 1159 4310 9525 LE 3:34 1493 NT 1M 1. SET 1 COT 5.141 9 30 LCHS RS GO 25 1144 TAU 177 8.30 1.454 633 TO . LA 3 TB 1:17 STI 3 324 8 15 TO 11 12 1114 LIM 3.36 10.463 11 SET 12:10 1.197 136 2311 750 1053 1511 OUR 11 10205 22331 2730 12.134 PL SE 11 11414 12.00 14100 15.09 IT 12.16 13.413 140 14.04 Ruture Valuerstector of any of 51 per predatorpeles, WVFALLA. TABLE ES 95 10 115 129 134 1. 145 15 100 1.600 1000 1000 1000 1.000 1.000 . 2.670 2.00 200 2.10 2.10 3114 3215 2150 124 3278 3:31 33 3.47 3:44 4.440 454 4572 4 4710 4 3.75 5.490 7.15 6.14 7-336 7823 T. 1.313 1115 1323 3316 274 8.554 3 200 3.18 90 10.45 107 10.200 BUT ta 14 11.99 12.30 123 14 T. 52.400 13.231 13:59 141 SU 15.416 120 16.76 13.11 11 14 113 1537 1672 17.12 18420 12.30 2004 14 15114 1.45 17.500 58 531 18.500 20655 2131 21.00 2440 16.30 BTT 2014 34133 272 2002 10 20141 21.00 22 2423 26212 20.00 32. 22 2215 20 30.035 12345 1761 23 22.144 2011 14495 13700 NP ST 25.673 304 35.0 4270 672 17 2014 53.7 07 30.000 31 17.450 45 301 45.00 503 58.70 1725 4 75.834 37379 58.15 363 10 HT 49.95 45 57 275 120 01.25 1024 65.24 73.100 TO 143 1556 101Y 2121 . 461 12 13 24133 56.79 41415 11145 172 2157 2710 4316 54848 ST 11 10084 2006 3373 TO 10 7781 29 0653 015 200 24.10 04 11.10 45.244 1 13 13. 15. 162 182 20.014 212 1182 25 14207 16 177 18 2152 23 25.540 2013 11.08 14 16 DOT ST WK SEX SOS 257 302 36TH 432 114 G. MES 42213 1918 50 CHET 1 110 6.648 OS 17 18 21 06 728 14 995.00 2015T 21 23.414 12 F. 15 101 17 18 1 OMEDE PREP . 2013 21412 FEE 15:21 25.645 TOTI 12 14141 5.03 113.30 21 1561 11021 11 IP ERANAN 1205 25 IP 1965 2011 2201 21.245 34701 61 4 1443 52.44 45 30.533 2006 47.720 430 330 120.00 0.35 NATI 2014 CE 95 4094 0.42 M57 14285 11145 15 1.130 2 10.40 TOM 11 41633 21813 95.000 75.41 912 T. 4. RT FRY