Question: please answer i have provided the appendixes aswell 3.18 From the interest tables in Appendix A. determine the value of each of the following compound








3.18 From the interest tables in Appendix A. determine the value of each of the following compound interest factors using linear interpolation. Compare each value with the exact answer obtained from the appropriate formula in Chapter 2. (a) (F1P, 7%, 12). (b) (F1P, 12%, 47), (c) (P/F,5%, 20), (d) (FIA,4%, 38). (e) (FIA, 48%, 38), (1) (AIF, 11%, 30), (8) (A/P,5%, 57), (h) (A/P, 7l%. 57). (1) (P/A, 10%, 30). () (A/G, 81%, 15). (k) (AIG, 131%. 39). Ans.(a) 23852 (exact: 2.3818); (b) 213.9934 (205.7061); (C) 0.3606 (03594); (d) 86.4762 (859703), (e) 92.0092 (101.7364); 0) 0.004869 (0.00479); (g) 0.05333 (0.05330); (h) 0,07391 (0.07387); (i) 89125 (88675): 0) 55545 (55541); (k) 7.0591 (7.0146) 144 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 5.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G) 2 3 UNOON 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 BO 85 90 95 100 1.0500 1. 1025 1. 1576 1.2155 1.2763 1.3401 1.4071 1.4775 1.5513 1.6289 1.7303 1.7959 1.8856 1.9799 2.0789 2.18 29 2.2920 2.4066 2.5270 2.6533 2.7860 2.9253 3.0715 3.2251 3.3864 3.5557 3.7335 3.9201 4.1161 4.3219 4.5380 4.7549 5.0032 5.2533 5.5160 7.0400 8.9850 11.4674 14.6355 18.6792 23.8399 30.4264 38.8327 49.5614 63.2544 80.7304 103.0347 131.5013 1.0000 2.0500 3. 1525 4.3101 5.5256 6.8019 8. 1420 9.5491 11.0266 12.5779 14.2068 15.9171 17.7130 19.5986 21.5786 23.6575 25.8404 28.1324 30.5390 33.0660 35.7393 38.5052 41.4305 44.5020 47.7271 51.1135 54.6691 58.4026 62.3227 66.4388 70.7609 75.2988 80.0638 05.0670 90.3203 120.7998 159.7002 209.3480 272.7126 353.5837 456.7980 588.5285 756.6537 971.2288 1245.0671 1594.6073 2040.6935 2610.0252 1.05000 .53780 .36721 28201 23097 . 19702 17282 . 15472 . 14069 . 12950 12039 11283 . 10646 10102 .09634 09227 .08870 08555 .08275 .08024 07800 07597 07414 .07247 07095 .06 - 06829 06712 06605 06505 .05413 06328 .06249 06176 06107 .05828 05626 .05478 05367 05283 .05219 .05170 .05132 .05103 .05080 .05063 .05049 05038 .0000 .4878 .9675 1.4391 1.9025 2.3579 2.8052 3.2445 3.6758 4.0991 4.5144 4.9219 5.3215 5.7133 8.0973 6.4736 6.8423 7.2034 7.5569 7.9030 8.2416 8.5730 8.8971 9.2140 9.5238 9.8266 10.1224 10.4114 10.6936 10.9691 11.2381 11.5005 11.7566 12.0063 12.2498 13.3775 14.3644 15.2233 15.9654 16.6062 17.1541 17.6212 18.0176 18.3526 18.6340 18.8712 19.0589 19.2337 APP. AJ COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 145 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 6:00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) O SENSOWN-OOOWN- ---- 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1.0600 1.1236 1.1910 1.2625 1.3382 1.4185 1.5036 1.5938 1.6895 1.7908 1.8983 2.0122 2.1329 2.2009 2.3966 2.5404 2.6928 2.8543 3.0256 3.2071 3.3996 3.6035 3.8197 4.0489 4.2919 4.5494 4.8223 5. 1117 5.4184 5.7435 6.0881 6.4534 6.8406 7.2510 7.6861 10.2857 13.7646 18.4202 24.6503 32.9877 44. 1450 59.0759 79.0569 105.7960 141.5789 189.4645 253.5463 339.3021 1.0000 2.0600 3.1836 4.3746 5.6371 6.9753 8.3938 9.8975 11.4913 13. 1808 14.9716 16.8699 18.8821 21.0151 23. 2760 25.6725 28.2129 30.9057 33.7600 36.7856 39.9927 43.3923 46.9958 50.8156 54.8645 59. 1554 63.7056 68.5281 73.6398 79.0582 84.B017 90.8898 97.3432 104.1838 111.4348 154.7620 212.7435 290.3359 394. 1720 533. 1282 719.0829 967.9322 1300.9487 1746.5999 2342.9817 3141.0752 4209. 1042 5638.3681 1.06000 54544 .37411 .28859 - 23740 . 20336 17914 16104 14702 . 13587 12679 11928 . 11296 . 10758 10295 09895 .09544 .09236 08962 08718 .08500 .08 305 08128 .07968 .07823 . 07690 .07570 . 07459 07358 .07265 .07179 07100 .07027 .06960 .06897 06646 05470 .06344 06254 051BB 06139 06103 05077 .06057 06043 . 06032 06024 .06018 .0000 4854 .9612 1.4272 1.8836 2.3304 2.7676 3. 1952 3.6133 4.0220 4.4213 4.8113 5. 1920 5.5635 5.9260 6.2794 6.6240 6.9597 7.2867 7.6051 7.9151 8.2166 8.5099 8.7951 9.0722 9.3414 9.6029 9.8568 10.1032 10.3422 10.5740 10.7958 11.0166 11.2276 11.4319 12.3590 13.1413 13.7984 14.3411 14.7909 15. 1601 15.4613 15.7058 15.9033 16.0620 16. 1891 16.2905 16.3711 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 APP. Al COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 143 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 4.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (EP) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (AP) GRADIENT SERIES FACTOR CA 5 7 9 TO 11 12 16 17 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1.0400 1.0816 1.1249 1. 1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.5395 1.6010 1.665 1.7317 1.8009 1.8730 1.9479 2.0258 2. 1066 2.1911 2.2788 2.3699 2.4647 2.5633 2.5658 2.7725 2.8834 2.9987 3.1187 3.2434 3.3731 3.5081 3.6484 3.7943 3.9461 4.8010 5.8412 7. 1067 8.6464 10.5196 12.7967 15.5716 10.9453 23.0498 28.0436 34. 1193 1.0000 2.0400 3. 1216 4.2455 5.4163 6.6330 7.8983 9.2142 10.5820 12.0061 13.4884 15.0258 16.6268 18.2919 20.0236 21.8245 23.6975 25.6454 27.6712 29.7781 31.9692 34.2480 36.6179 30.0826 41.6450 44.3117 47.0842 49.9676 52.9663 56.0849 59.3283 62.7015 66. 2095 69.8579 73.6522 95.0255 121.0294 152.5671 191. 1592 237.9907 294.9684 354.2905 448.6314 551.2450 678.0001 827.9e33 1012.7646 1237.6237 1.04000 653020 36035 27549 22463 19076 16661 14553 13449 12329 11415 10655 10014 09467 08994 08582 08220 07899 07614 07358 .07128 06920 06731 .06559 06401 06257 06124 06000 05888 05783 05636 .05595 05510 .05431 05356 05052 04626 .04555 04523 04420 04339 04275 04223 04181 04148 04121 04009 040B 0000 4902 19739 1.4510 4.9216 2.3857 2.8433 3.2944 3.7391 4.1773 4.6090 5.034) 5.4533 5.8659 6.2721 5.6720 7.0656 7.4530 7.8342 8.2091 8.5779 8.9407 9.2973 9.6479 9.9925 10.3312 10.8640 10.9909 11.3120 11.6274 11.9371 12.2411 12.5396 12.8324 13.1198 14.4765 15.7047 16.8122 17.8070 18.6972 19.4909 20.1961 20.8206 21.3715 21.8569 22.2826 22.6550 22.9800 34 35 45 50 SS 60 65 70 75 30 85 90 95 100 50.5049 146 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 7.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G N 1 2 3 5 6 7 B TO 11 12 13 14 15 16 12 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33 34 35 40 1.0700 1.1449 1.2250 1.3108 1.4026 1.5007 1.8058 1.7182 1.8385 1.9672 2. 1649 2.2522 2.4090 2.5785 2.7590 2.9522 3.1580 3.3799 3.6165 3.8607 4. 1400 4.4304 4.7405 5.0724 5.4274 5.0074 6.2139 6.5438 7. 1143 7.6123 8.1451 0.7153 9.3253 5.9781 10.6766 14.9745 21.0025 29.4570 41.3150 57.9464 81.2729 113.9894 159.8760 224.2344 314.5003 4411030 618.6697 867.7163 1.0000 2.0700 3.2149 4.4399 5.7507 7. 1533 8.6540 10.2598 11.9780 13.8164 15.7836 17.8885 20.1406 22.5505 25. 1290 27.8881 30.8402 33.9990 37.3790 40.9055 44.8652 49.0057 53.4361 58.1767 63.2490 68.6765 74.4830 50.6977 07.3465 94.4608 102.0730 110.2182 118.9334 128.2586 130.2369 199.6351 285.7493 406.5289 575.9206 13.5204 1145.7552 161 4.1342 2269.6574 3189.0627 4478.5761 6287. 1854 8823.8535 12381.6610 1.07000 .55309 38105 29523 .24389 20980 18555 16747 15349 . 14238 13336 12590 11965 . 11434 . 10979 . 10586 - 10243 .09941 09675 09439 09220 09041 08871 .08719 - 08581 08456 .08343 08239 08145 08059 07980 07907 07841 07760 .07723 07501 07350 .07246 .07174 07123 - 07057 07062 .07046 07031 07022 07016 .07011 07000 .0000 . 4831 .9549 1.4155 1.8650 2.3032 2.7304 3. 1465 3.5517 3.9461 4.3296 4.7025 5.06.48 5.4167 5.7583 6.0897 6.4110 6.7225 7.0242 7.3183 7.5990 7.8725 8.1360 8.3923 8.6391 8.8773 9.1072 9.3289 9.5427 9.7487 9.9471 10.1381 10.3219 10.4987 10.6687 11.4233 12.0360 12.5287 12.9215 13.2321 13.4760 13.6662 13.8136 13.9273 14.0146 14.0812 14.1319 14.1703 50 55 60 65 70 75 BO 35 90 95 100 APP. A) COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 147 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE - 8.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (EP) UNIFOAM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFOAM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) N SANDNUNG NON- 13 14 15 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 1.0800 1.1664 1.2597 1.3605 3.4693 1.5669 1.7138 1.8509 1.9990 2.1589 2.3316 2.5182 2.7196 2.9372 3.1722 3.4259 3.7000 3.9960 4.3157 4.6810 5.0338 5.4365 5.8715 6.3412 6.8485 7.3964 7.9881 8.6271 9.3173 10.0627 10.8677 11.7371 12.6760 13.6901 14.7853 21.7245 31.9204 46.9016 68.9130 101.2571 146.7798 218.6064 321.2045 471.9548 693.4565 1018.9151 1497.1205 2199.7613 1.0000 2.0800 3.2464 4.5061 5.8666 7.3359 8.9228 10.6366 12.4876 14.4866 16.6455 18.9771 21.4953 24.2149 27. 1521 30.3243 33.7502 37.4502 41.4463 45.7620 50.4229 55.4568 60.8933 66.7640 73. 1059 79.9544 87.3508 95.3388 103.9659 113.26 32 123.3459 134.2135 145.9506 158.6267 172.3168 259.0565 386.5056 573.7702 348.9232 1253.2133 1847.2481 2720.0001 4.002.5560 5886.9354 8655.7061 12723.9386 18701.5069 27484.5157 1.00000 -56077 38803 30192 25046 .21632 19207 . 17401 16008 14903 14008 13270 . 12652 12130 . 11683 11298 10063 10670 10413 10185 09983 09803 09642 09498 09368 09251 09145 09049 08982 08883 OBB11 0745 08685 .05630 08580 .08386 08259 08174 08118 08080 08054 08037 08025 08017 08012 .OOO 08005 08004 .0000 .4809 .9487 1.4040 1.8465 2.2763 2.6937 3.0985 3.4910 3.8713 4.2395 4.5957 4.9402 5.2731 5.5945 5.9046 6. 2037 6.4920 6.7697 7.0369 7.2940 7.5412 7.7786 8.0066 8.2254 8.4352 8.6363 8.8289 9.0133 9.1897 9.3584 9.5197 9.6737 9.5200 9.9611 10.5699 11.0447 11.4107 11.6902 11.9015 12.0602 12. 1783 12.2658 12.3301 12.3772 32.4116 12.4365 12.4545 APP. A) COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 149 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 10.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (FIA) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (AZP) GRADIENT SERIES FACTOR (A/G) N OOON 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 BO 85 90 95 100 1. 1000 1.2100 1.3310 1.4641 3.6105 1.7716 1.9487 2.1436 2.3579 2.5937 2.8531 3.1384 3.4523 3.7975 4. 1772 4.5950 5.0545 5.5599 6. 1159 8.7275 7.4002 8.1403 8.9543 9.8497 10.8347 11.9182 13. 1100 14.4210 15.8631 17.4494 19.1943 21.1138 23.2252 25.5477 28. 1024 45.2593 72.8905 117.3909 189.0591 204.4810 490.3707 789.7470 1271.8954 2048.4002 3298.9690 5313.0226 6556.6760 13780.6123 1.0000 2. 1000 3.3100 4.6410 8. 1051 7.7156 9.4872 11.4359 13.5795 15.9374 18.5312 21.3843 24.5227 27.9750 31.7725 35.9497 40.5447 45.5992 51.1591 57.2750 64.0025 71.4027 79.5430 88.4973 98.3471 109. 1818 121.0999 134.2099 148.6300 164.4940 181.9434 201.1378 222.2515 245.4767 271.0244 442.5928 718.9048 1163.9085 1880.5914 3034.8164 4893.7073 7887.4696 12708.0537 20474.0021 32979.6903 53120.2261 85550.7605 137796.1234 1. 10000 .57619 40211 .31547 .26380 .22951 20541 18744 17364 16275 . 15396 14676 14078 . 13575 . 13147 . 12782 12466 12193 11955 11746 - 11562 11401 11257 11130 . 11017 10910 10826 . 10745 . 10673 10600 . 10550 10497 - 10450 . 10407 . 10369 10226 . 10139 . 10086 . 10053 . 10033 . 10020 10013 . 1000 . 10005 . 10003 10002 . 10001 . 10001 .0000 4762 -9366 1.3812 1.8101 2.2236 2.6216 3.0045 3.3724 3.7255 4.0641 4.3884 4.6988 4.9955 5.2789 5.5493 5.8071 6.0526 6.2861 6.5081 8.7189 6.9189 7. 1085 7.2881 7.4580 7.6186 7.7704 7.9137 8.0480 8.1762 8.2962 8.4091 8.5152 8.6149 8.7086 9.0962 9.3740 9.5704 9.7075 9.8023 9.8672 9.9113 9.9410 9.9600 9.9742 9.9831 9.9889 9.9927 150 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 12.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) ODON 9 10 11 12 33 14 15 16 12 18 1. 1200 1.2544 1.4049 1.5735 1.7623 1.9738 2.2107 2.4760 2.7731 3.1058 3.4785 3.8960 4.3635 4.8871 5.4736 6.1304 6.8560 7.6900 8.6128 9.6463 10.8036 12.1003 13.5523 15.1786 17.0001 19.0401 21.3249 23.38 39 26.7499 20.0599 33.5551 37.5817 42.0915 47.1425 52.7996 93.0510 163.9876 289.0022 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1.0000 2.1200 3.3744 4.7793 6.3528 8. 1152 10.0890 12.2997 14.7757 17.5487 20.6545 24. 1331 28.0291 32.3926 37.2797 42.7533 48.8837 55.7497 63.4397 72.0524 81.6987 92.5026 104.6029 118.1552 133.3339 150.3339 169.3740 190.6989 214.5828 241.3322 271.2926 304.8477 342.4294 384.5210 431.6635 767.0914 1358.2300 2400.0182 1.12000 .59170 41635 32923 27741 24323 21912 .20130 . 18768 17698 16842 . 16144 15568 . 15087 14582 14339 14046 13794 13576 13386 13224 . 13081 12956 - 12846 12750 12665 12590 . 12524 12466 . 12414 . 12369 . 12328 . 12292 12260 12232 . 12130 12074 . 1 2042 .0000 .4717 . 9246 1.3589 1.7746 2. 1720 2.5515 2.9131 3.2574 3.5847 3.8953 4.1897 4.4683 4.7317 4.9803 5.2147 5.4353 5.6427 5.8375 6.0202 6. 1913 6.3514 6.5010 6.6406 6.7708 6.8921 7.0049 7. 1098 7. 2071 7.2974 7.3811 7.4586 7.5302 7.5965 7.6577 7.8989 8.0572 8. 1597 35 40 45 50 APP. A] COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING 151 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE - 15.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G) 30 11 12 ******INNUDWN-ODOOWN- 14 15 16 32 1. 1500 1.3225 1.5209 1.7490 2.0114 2.3131 2.6600 3.0590 3.5179 4.0456 4.6524 5.3503 6.1528 7.0757 8.1371 9.3576 10.7613 12.3755 14.2318 16.3665 16.8215 21.6447 24.8915 28.6252 32.9190 37.8568 43.5353 50.0656 57.5755 66.2118 76. 1435 87.5651 100.6996 115.8048 133.1755 267.8635 538.7693 1083.6574 1.0000 2.1500 3.4725 4.9934 6.7424 8.7537 11.0668 13.7268 16.7858 20.3037 24.3493 29.0017 34.3519 40.5047 47.5804 55.7175 65.0751 75.8364 88.2118 102.4436 118.8101 137.6316 159.2764 184.1678 212.7930 245.7120 283.5688 327. 1041 377.1697 434.7451 500.9569 577.1005 664.6655 765.3654 881. 1702 1779.0903 3585. 1285 7217.7163 1. 15000 .61512 43798 .35027 29832 26424 .24036 22285 20957 .19925 19107 18448 17911 17469 17102 16795 16537 16319 16134 15976 15842 15727 15628 15543 15470 15407 15353 15306 15265 . 15230 15200 15173 . 15150 . 15131 15113 15056 . 15028 15014 20 .0000 4651 9071 1.3263 1.7228 2.0972 2.4498 2.7813 3.0922 3.3832 3.6549 3.9082 4. 1438 4.3624 4.5650 4.7522 4.9251 5.0843 5.2307 5.3651 5.4883 5.6010 5.7040 5.7979 5.8834 5.9612 6.0319 6.0960 6. 1541 6. 2066 6.2541 6.2970 6.3357 6.3705 6.4019 6.5168 6.5830 6.6205 23 24 27 31 32 33 ---- 35 40 45 50 3.18 From the interest tables in Appendix A. determine the value of each of the following compound interest factors using linear interpolation. Compare each value with the exact answer obtained from the appropriate formula in Chapter 2. (a) (F1P, 7%, 12). (b) (F1P, 12%, 47), (c) (P/F,5%, 20), (d) (FIA,4%, 38). (e) (FIA, 48%, 38), (1) (AIF, 11%, 30), (8) (A/P,5%, 57), (h) (A/P, 7l%. 57). (1) (P/A, 10%, 30). () (A/G, 81%, 15). (k) (AIG, 131%. 39). Ans.(a) 23852 (exact: 2.3818); (b) 213.9934 (205.7061); (C) 0.3606 (03594); (d) 86.4762 (859703), (e) 92.0092 (101.7364); 0) 0.004869 (0.00479); (g) 0.05333 (0.05330); (h) 0,07391 (0.07387); (i) 89125 (88675): 0) 55545 (55541); (k) 7.0591 (7.0146) 144 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 5.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G) 2 3 UNOON 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 BO 85 90 95 100 1.0500 1. 1025 1. 1576 1.2155 1.2763 1.3401 1.4071 1.4775 1.5513 1.6289 1.7303 1.7959 1.8856 1.9799 2.0789 2.18 29 2.2920 2.4066 2.5270 2.6533 2.7860 2.9253 3.0715 3.2251 3.3864 3.5557 3.7335 3.9201 4.1161 4.3219 4.5380 4.7549 5.0032 5.2533 5.5160 7.0400 8.9850 11.4674 14.6355 18.6792 23.8399 30.4264 38.8327 49.5614 63.2544 80.7304 103.0347 131.5013 1.0000 2.0500 3. 1525 4.3101 5.5256 6.8019 8. 1420 9.5491 11.0266 12.5779 14.2068 15.9171 17.7130 19.5986 21.5786 23.6575 25.8404 28.1324 30.5390 33.0660 35.7393 38.5052 41.4305 44.5020 47.7271 51.1135 54.6691 58.4026 62.3227 66.4388 70.7609 75.2988 80.0638 05.0670 90.3203 120.7998 159.7002 209.3480 272.7126 353.5837 456.7980 588.5285 756.6537 971.2288 1245.0671 1594.6073 2040.6935 2610.0252 1.05000 .53780 .36721 28201 23097 . 19702 17282 . 15472 . 14069 . 12950 12039 11283 . 10646 10102 .09634 09227 .08870 08555 .08275 .08024 07800 07597 07414 .07247 07095 .06 - 06829 06712 06605 06505 .05413 06328 .06249 06176 06107 .05828 05626 .05478 05367 05283 .05219 .05170 .05132 .05103 .05080 .05063 .05049 05038 .0000 .4878 .9675 1.4391 1.9025 2.3579 2.8052 3.2445 3.6758 4.0991 4.5144 4.9219 5.3215 5.7133 8.0973 6.4736 6.8423 7.2034 7.5569 7.9030 8.2416 8.5730 8.8971 9.2140 9.5238 9.8266 10.1224 10.4114 10.6936 10.9691 11.2381 11.5005 11.7566 12.0063 12.2498 13.3775 14.3644 15.2233 15.9654 16.6062 17.1541 17.6212 18.0176 18.3526 18.6340 18.8712 19.0589 19.2337 APP. AJ COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 145 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 6:00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) O SENSOWN-OOOWN- ---- 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1.0600 1.1236 1.1910 1.2625 1.3382 1.4185 1.5036 1.5938 1.6895 1.7908 1.8983 2.0122 2.1329 2.2009 2.3966 2.5404 2.6928 2.8543 3.0256 3.2071 3.3996 3.6035 3.8197 4.0489 4.2919 4.5494 4.8223 5. 1117 5.4184 5.7435 6.0881 6.4534 6.8406 7.2510 7.6861 10.2857 13.7646 18.4202 24.6503 32.9877 44. 1450 59.0759 79.0569 105.7960 141.5789 189.4645 253.5463 339.3021 1.0000 2.0600 3.1836 4.3746 5.6371 6.9753 8.3938 9.8975 11.4913 13. 1808 14.9716 16.8699 18.8821 21.0151 23. 2760 25.6725 28.2129 30.9057 33.7600 36.7856 39.9927 43.3923 46.9958 50.8156 54.8645 59. 1554 63.7056 68.5281 73.6398 79.0582 84.B017 90.8898 97.3432 104.1838 111.4348 154.7620 212.7435 290.3359 394. 1720 533. 1282 719.0829 967.9322 1300.9487 1746.5999 2342.9817 3141.0752 4209. 1042 5638.3681 1.06000 54544 .37411 .28859 - 23740 . 20336 17914 16104 14702 . 13587 12679 11928 . 11296 . 10758 10295 09895 .09544 .09236 08962 08718 .08500 .08 305 08128 .07968 .07823 . 07690 .07570 . 07459 07358 .07265 .07179 07100 .07027 .06960 .06897 06646 05470 .06344 06254 051BB 06139 06103 05077 .06057 06043 . 06032 06024 .06018 .0000 4854 .9612 1.4272 1.8836 2.3304 2.7676 3. 1952 3.6133 4.0220 4.4213 4.8113 5. 1920 5.5635 5.9260 6.2794 6.6240 6.9597 7.2867 7.6051 7.9151 8.2166 8.5099 8.7951 9.0722 9.3414 9.6029 9.8568 10.1032 10.3422 10.5740 10.7958 11.0166 11.2276 11.4319 12.3590 13.1413 13.7984 14.3411 14.7909 15. 1601 15.4613 15.7058 15.9033 16.0620 16. 1891 16.2905 16.3711 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 APP. Al COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 143 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 4.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (EP) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (AP) GRADIENT SERIES FACTOR CA 5 7 9 TO 11 12 16 17 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1.0400 1.0816 1.1249 1. 1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.5395 1.6010 1.665 1.7317 1.8009 1.8730 1.9479 2.0258 2. 1066 2.1911 2.2788 2.3699 2.4647 2.5633 2.5658 2.7725 2.8834 2.9987 3.1187 3.2434 3.3731 3.5081 3.6484 3.7943 3.9461 4.8010 5.8412 7. 1067 8.6464 10.5196 12.7967 15.5716 10.9453 23.0498 28.0436 34. 1193 1.0000 2.0400 3. 1216 4.2455 5.4163 6.6330 7.8983 9.2142 10.5820 12.0061 13.4884 15.0258 16.6268 18.2919 20.0236 21.8245 23.6975 25.6454 27.6712 29.7781 31.9692 34.2480 36.6179 30.0826 41.6450 44.3117 47.0842 49.9676 52.9663 56.0849 59.3283 62.7015 66. 2095 69.8579 73.6522 95.0255 121.0294 152.5671 191. 1592 237.9907 294.9684 354.2905 448.6314 551.2450 678.0001 827.9e33 1012.7646 1237.6237 1.04000 653020 36035 27549 22463 19076 16661 14553 13449 12329 11415 10655 10014 09467 08994 08582 08220 07899 07614 07358 .07128 06920 06731 .06559 06401 06257 06124 06000 05888 05783 05636 .05595 05510 .05431 05356 05052 04626 .04555 04523 04420 04339 04275 04223 04181 04148 04121 04009 040B 0000 4902 19739 1.4510 4.9216 2.3857 2.8433 3.2944 3.7391 4.1773 4.6090 5.034) 5.4533 5.8659 6.2721 5.6720 7.0656 7.4530 7.8342 8.2091 8.5779 8.9407 9.2973 9.6479 9.9925 10.3312 10.8640 10.9909 11.3120 11.6274 11.9371 12.2411 12.5396 12.8324 13.1198 14.4765 15.7047 16.8122 17.8070 18.6972 19.4909 20.1961 20.8206 21.3715 21.8569 22.2826 22.6550 22.9800 34 35 45 50 SS 60 65 70 75 30 85 90 95 100 50.5049 146 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 7.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G N 1 2 3 5 6 7 B TO 11 12 13 14 15 16 12 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33 34 35 40 1.0700 1.1449 1.2250 1.3108 1.4026 1.5007 1.8058 1.7182 1.8385 1.9672 2. 1649 2.2522 2.4090 2.5785 2.7590 2.9522 3.1580 3.3799 3.6165 3.8607 4. 1400 4.4304 4.7405 5.0724 5.4274 5.0074 6.2139 6.5438 7. 1143 7.6123 8.1451 0.7153 9.3253 5.9781 10.6766 14.9745 21.0025 29.4570 41.3150 57.9464 81.2729 113.9894 159.8760 224.2344 314.5003 4411030 618.6697 867.7163 1.0000 2.0700 3.2149 4.4399 5.7507 7. 1533 8.6540 10.2598 11.9780 13.8164 15.7836 17.8885 20.1406 22.5505 25. 1290 27.8881 30.8402 33.9990 37.3790 40.9055 44.8652 49.0057 53.4361 58.1767 63.2490 68.6765 74.4830 50.6977 07.3465 94.4608 102.0730 110.2182 118.9334 128.2586 130.2369 199.6351 285.7493 406.5289 575.9206 13.5204 1145.7552 161 4.1342 2269.6574 3189.0627 4478.5761 6287. 1854 8823.8535 12381.6610 1.07000 .55309 38105 29523 .24389 20980 18555 16747 15349 . 14238 13336 12590 11965 . 11434 . 10979 . 10586 - 10243 .09941 09675 09439 09220 09041 08871 .08719 - 08581 08456 .08343 08239 08145 08059 07980 07907 07841 07760 .07723 07501 07350 .07246 .07174 07123 - 07057 07062 .07046 07031 07022 07016 .07011 07000 .0000 . 4831 .9549 1.4155 1.8650 2.3032 2.7304 3. 1465 3.5517 3.9461 4.3296 4.7025 5.06.48 5.4167 5.7583 6.0897 6.4110 6.7225 7.0242 7.3183 7.5990 7.8725 8.1360 8.3923 8.6391 8.8773 9.1072 9.3289 9.5427 9.7487 9.9471 10.1381 10.3219 10.4987 10.6687 11.4233 12.0360 12.5287 12.9215 13.2321 13.4760 13.6662 13.8136 13.9273 14.0146 14.0812 14.1319 14.1703 50 55 60 65 70 75 BO 35 90 95 100 APP. A) COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 147 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE - 8.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (EP) UNIFOAM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFOAM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) N SANDNUNG NON- 13 14 15 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 80 85 90 95 100 1.0800 1.1664 1.2597 1.3605 3.4693 1.5669 1.7138 1.8509 1.9990 2.1589 2.3316 2.5182 2.7196 2.9372 3.1722 3.4259 3.7000 3.9960 4.3157 4.6810 5.0338 5.4365 5.8715 6.3412 6.8485 7.3964 7.9881 8.6271 9.3173 10.0627 10.8677 11.7371 12.6760 13.6901 14.7853 21.7245 31.9204 46.9016 68.9130 101.2571 146.7798 218.6064 321.2045 471.9548 693.4565 1018.9151 1497.1205 2199.7613 1.0000 2.0800 3.2464 4.5061 5.8666 7.3359 8.9228 10.6366 12.4876 14.4866 16.6455 18.9771 21.4953 24.2149 27. 1521 30.3243 33.7502 37.4502 41.4463 45.7620 50.4229 55.4568 60.8933 66.7640 73. 1059 79.9544 87.3508 95.3388 103.9659 113.26 32 123.3459 134.2135 145.9506 158.6267 172.3168 259.0565 386.5056 573.7702 348.9232 1253.2133 1847.2481 2720.0001 4.002.5560 5886.9354 8655.7061 12723.9386 18701.5069 27484.5157 1.00000 -56077 38803 30192 25046 .21632 19207 . 17401 16008 14903 14008 13270 . 12652 12130 . 11683 11298 10063 10670 10413 10185 09983 09803 09642 09498 09368 09251 09145 09049 08982 08883 OBB11 0745 08685 .05630 08580 .08386 08259 08174 08118 08080 08054 08037 08025 08017 08012 .OOO 08005 08004 .0000 .4809 .9487 1.4040 1.8465 2.2763 2.6937 3.0985 3.4910 3.8713 4.2395 4.5957 4.9402 5.2731 5.5945 5.9046 6. 2037 6.4920 6.7697 7.0369 7.2940 7.5412 7.7786 8.0066 8.2254 8.4352 8.6363 8.8289 9.0133 9.1897 9.3584 9.5197 9.6737 9.5200 9.9611 10.5699 11.0447 11.4107 11.6902 11.9015 12.0602 12. 1783 12.2658 12.3301 12.3772 32.4116 12.4365 12.4545 APP. A) COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING 149 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 10.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (FIA) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (AZP) GRADIENT SERIES FACTOR (A/G) N OOON 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 27 28 29 30 31 32 33 34 35 40 45 50 55 60 65 70 75 BO 85 90 95 100 1. 1000 1.2100 1.3310 1.4641 3.6105 1.7716 1.9487 2.1436 2.3579 2.5937 2.8531 3.1384 3.4523 3.7975 4. 1772 4.5950 5.0545 5.5599 6. 1159 8.7275 7.4002 8.1403 8.9543 9.8497 10.8347 11.9182 13. 1100 14.4210 15.8631 17.4494 19.1943 21.1138 23.2252 25.5477 28. 1024 45.2593 72.8905 117.3909 189.0591 204.4810 490.3707 789.7470 1271.8954 2048.4002 3298.9690 5313.0226 6556.6760 13780.6123 1.0000 2. 1000 3.3100 4.6410 8. 1051 7.7156 9.4872 11.4359 13.5795 15.9374 18.5312 21.3843 24.5227 27.9750 31.7725 35.9497 40.5447 45.5992 51.1591 57.2750 64.0025 71.4027 79.5430 88.4973 98.3471 109. 1818 121.0999 134.2099 148.6300 164.4940 181.9434 201.1378 222.2515 245.4767 271.0244 442.5928 718.9048 1163.9085 1880.5914 3034.8164 4893.7073 7887.4696 12708.0537 20474.0021 32979.6903 53120.2261 85550.7605 137796.1234 1. 10000 .57619 40211 .31547 .26380 .22951 20541 18744 17364 16275 . 15396 14676 14078 . 13575 . 13147 . 12782 12466 12193 11955 11746 - 11562 11401 11257 11130 . 11017 10910 10826 . 10745 . 10673 10600 . 10550 10497 - 10450 . 10407 . 10369 10226 . 10139 . 10086 . 10053 . 10033 . 10020 10013 . 1000 . 10005 . 10003 10002 . 10001 . 10001 .0000 4762 -9366 1.3812 1.8101 2.2236 2.6216 3.0045 3.3724 3.7255 4.0641 4.3884 4.6988 4.9955 5.2789 5.5493 5.8071 6.0526 6.2861 6.5081 8.7189 6.9189 7. 1085 7.2881 7.4580 7.6186 7.7704 7.9137 8.0480 8.1762 8.2962 8.4091 8.5152 8.6149 8.7086 9.0962 9.3740 9.5704 9.7075 9.8023 9.8672 9.9113 9.9410 9.9600 9.9742 9.9831 9.9889 9.9927 150 COMPOUND INTEREST FACTORS-ANNUAL COMPOUNDING [APP. A COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE = 12.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR (A/G) ODON 9 10 11 12 33 14 15 16 12 18 1. 1200 1.2544 1.4049 1.5735 1.7623 1.9738 2.2107 2.4760 2.7731 3.1058 3.4785 3.8960 4.3635 4.8871 5.4736 6.1304 6.8560 7.6900 8.6128 9.6463 10.8036 12.1003 13.5523 15.1786 17.0001 19.0401 21.3249 23.38 39 26.7499 20.0599 33.5551 37.5817 42.0915 47.1425 52.7996 93.0510 163.9876 289.0022 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1.0000 2.1200 3.3744 4.7793 6.3528 8. 1152 10.0890 12.2997 14.7757 17.5487 20.6545 24. 1331 28.0291 32.3926 37.2797 42.7533 48.8837 55.7497 63.4397 72.0524 81.6987 92.5026 104.6029 118.1552 133.3339 150.3339 169.3740 190.6989 214.5828 241.3322 271.2926 304.8477 342.4294 384.5210 431.6635 767.0914 1358.2300 2400.0182 1.12000 .59170 41635 32923 27741 24323 21912 .20130 . 18768 17698 16842 . 16144 15568 . 15087 14582 14339 14046 13794 13576 13386 13224 . 13081 12956 - 12846 12750 12665 12590 . 12524 12466 . 12414 . 12369 . 12328 . 12292 12260 12232 . 12130 12074 . 1 2042 .0000 .4717 . 9246 1.3589 1.7746 2. 1720 2.5515 2.9131 3.2574 3.5847 3.8953 4.1897 4.4683 4.7317 4.9803 5.2147 5.4353 5.6427 5.8375 6.0202 6. 1913 6.3514 6.5010 6.6406 6.7708 6.8921 7.0049 7. 1098 7. 2071 7.2974 7.3811 7.4586 7.5302 7.5965 7.6577 7.8989 8.0572 8. 1597 35 40 45 50 APP. A] COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING 151 COMPOUND INTEREST FACTORS - ANNUAL COMPOUNDING INTEREST RATE - 15.00 PERCENT SINGLE-PAYMENT COMPOUND-AMOUNT FACTOR (F/P) UNIFORM-SERIES COMPOUND-AMOUNT FACTOR (F/A) UNIFORM-SERIES CAPITAL-RECOVERY FACTOR (A/P) GRADIENT SERIES FACTOR CA/G) 30 11 12 ******INNUDWN-ODOOWN- 14 15 16 32 1. 1500 1.3225 1.5209 1.7490 2.0114 2.3131 2.6600 3.0590 3.5179 4.0456 4.6524 5.3503 6.1528 7.0757 8.1371 9.3576 10.7613 12.3755 14.2318 16.3665 16.8215 21.6447 24.8915 28.6252 32.9190 37.8568 43.5353 50.0656 57.5755 66.2118 76. 1435 87.5651 100.6996 115.8048 133.1755 267.8635 538.7693 1083.6574 1.0000 2.1500 3.4725 4.9934 6.7424 8.7537 11.0668 13.7268 16.7858 20.3037 24.3493 29.0017 34.3519 40.5047 47.5804 55.7175 65.0751 75.8364 88.2118 102.4436 118.8101 137.6316 159.2764 184.1678 212.7930 245.7120 283.5688 327. 1041 377.1697 434.7451 500.9569 577.1005 664.6655 765.3654 881. 1702 1779.0903 3585. 1285 7217.7163 1. 15000 .61512 43798 .35027 29832 26424 .24036 22285 20957 .19925 19107 18448 17911 17469 17102 16795 16537 16319 16134 15976 15842 15727 15628 15543 15470 15407 15353 15306 15265 . 15230 15200 15173 . 15150 . 15131 15113 15056 . 15028 15014 20 .0000 4651 9071 1.3263 1.7228 2.0972 2.4498 2.7813 3.0922 3.3832 3.6549 3.9082 4. 1438 4.3624 4.5650 4.7522 4.9251 5.0843 5.2307 5.3651 5.4883 5.6010 5.7040 5.7979 5.8834 5.9612 6.0319 6.0960 6. 1541 6. 2066 6.2541 6.2970 6.3357 6.3705 6.4019 6.5168 6.5830 6.6205 23 24 27 31 32 33 ---- 35 40 45 50
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