@Please follow the conditions::::::: *Answer the question:2 a and b 100% correctly. *Use table when necessary according to sample answer format. *Answer must be handwritten. *100% follow the exact answer format.

use table:

2.PENSION ANNUITY PROBLEM: 7% Rate a).Actuary stated that in order to get a yearly persion of $12k for 10 years in 2035-2045, how much must be deposited yearly 2015-2025 for ten years to get this pension. b) PROVE YOUR ANSWER USING FUTURE VALUE TABLES sample answer format Here, Actuary Answer No Q8 Parol pension Hurdle rate 14 k. G7 for one years. In order to get back penion must 9035-2096, deposited yearly be hoe much 2015 - 2025 14K X Pr of annuity for 10 years prob & 1 (2085-0045) 8eos 2685-2025) pr of annuity for 10 years (2015-2025 24 X 73 COA X055839 73 601 tuoosib 7.81846 Proves Frof $1 7.81 746 * Fr of annaity for lo years (2015-2025) for years 2025-2035 Er of annuity for to years (2035- 2045 7.81746 x 13.1808 X 1.79085 18.1808 145. 13'99 (142) Table1(use when necessary according to sample answer format) TABLE 1 Future Value of $1 FV = $1 (1 + ) 12.0% 20.0% B.0% 9.0% 4.0% 7.0% 10.0% 11.0% 6.0% 5.0% 5.5% 4.5% 2.0% 2.5% 3.0% 3.5% n/1.0% 1.5% 1 1.01000 1.01500 1.02000 1.02500 1.03000 1.03500 1.04000 1.04500 1.05000 1.05500 1.06000 1.07000 1.08000 2 1.02010 1.03022 1.04040 1.05063 1.06090 1.07123 1.08160 1.09203 1.10250 1.11203 1.12366 1.14490 1.16640 3 1.03030 1.04568 1.06121 1.07609 1.09273 1.10872 1.12486. 1.14117 1.15763 1.17424 1.19102 1.22504 1.25971 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 1.31080 1.36049 5 1.05101 1.07728 1.10408 1.13141 1.15927 1.18769 1.21665 1.21461B 1.27628 1.30696 1.33823 1.40255 1.46933 1.09000 1.10000 1.18810 1.21000 1.29503 1.33100 1.41158 1.46410 1.53862 1.61051 1.11000 1.23210 1.36763 1.51807 1.12000 1.25440 1.40493 1.57352 1.76234 1.20000 1.44000 1.72800 2.07360 1.68506 2.48832 6 1.06152 1.09344 1.12616 1.15969 1.19405 1.22926 1.26532 1.30226 1.34010 1.37884 7 1.07214 1.10984 1.14869 1.18869 1.22987 1.27228 1.31593 1.36086 1.40710 1.45468 1.08286 1.12649 1.17166 1.21840 1.26677 1.31681 1.36857 1.42210 1.47746 1.53469 9 1.09369 1.14339 1.19509 1.24886 1.30477 1.36290 1.42331 1.48610 1.55133 1.61909 10 1.10462 1.16054 1.21899 1.28008 1.34392 1.41060 1.48024 1.55297 1.62889 1.70814 1.41652 1.50073 1.50363 1.60578 1.59385 1.71819 1.83846 1.79085 1.96715 1.58687 1.67710 1.71382 1.82804 1.85093 1.99256 1.99900 2.17189 2.15892 2.36736 1.77156 1.94872 2.14359 2.35795 2.59374 1.87041 2.07616 2.30454 2.55804 2.83942 1.97382 2.21068 2.47596 2.77308 3.10585 2.98598 3.58318 4.29982 5.15978 6.19174 20 1.68949 11 1.11567 1.17795 1.24337 1.31209 1.38423 1.45997 1.53945 1.62285 1.71034 1.80209 1.89830 2.10485 12 1.12683 1.19562 1.26824 1.34459 1.42576 1.51107 1.60103 1.69588 1.79586 1.90121 2.01220 2.25219 13 1.13809 1.21355 1.29361 1.37851 1.46853 1.56396 1.66507 1.77220 1.88565 2.00577 2.13293 2.40995 14 1.14947 1.23176 1.31948 1.41297 1.51259 1.61869 1.73168 1.85194 1.97993 2.11609 2.26090 2.57853 15 1.16097 1.25023 1.34587 1.44830 1.55797 1.67535 1.80094 1.93520 2.07893 2.23248 2.39656 2.75903 2.33164 2.51817 2.71962 2.93719 3.17217 2.58043 2.81266 3.06580 3.34173 3.64248 2.85312 3.13843 3.45227 3.79750 4.17725 3.15176 3.47855 3.49845 3.89598 3.8A320 4.36349 4.31044 4.88711 4.78459 5.47357 7.43008 8.91610 10.69932 12.83918 15.40702 3.42594 3.70002 3.99602 16 1.17250 1.26899 1.37279 1.48451 1.60471 1.73399 1.87298 2.02237 2.18287 2.35526 2.54035 2.95216 17 1.18430 1.28802 1.40024 1.52162 1.652B5 1.7946B 1.94790 2.11338 2.29202 2.49480 2.69277 3.15882 18 1.19615 1.30734 1.42825 1.55966 1.70243 1.85749 2.02582 2.20848 2.40662 2.62147 2.85434 3.37993 19 1.20811 1.32695 1.45681 1.59865 1.75351 1.92250 2.106B5 2.30786 2.52695 2.76565 3.02560 3.61653 20 1.22019 1.34686 1.48595 1.63862 1.80611 1.98979 2.19112 2.41171 2.65330 2.01776 3.20714 3.84965 3.97031 4.59497 4.32763 5.05447 4.71712 5.55992 5.14166 6.11591 5.60441 6.72750 5.31089 6.13039 5.89509 6.86604 6.54355 7.68997 7.26334 8.61276 6.06231 9.64629 18.40843 22.18611 26.62333 31.94800 38.33760 4.31570 4.66096 21 1.23239 1.36706 1.51567 1.67958 1.86029 2.05943 2.27877 2.52024 2.78596 3.07823 3.39956 4.14056 5.03383 6.10881 7.40025 8.94917 10.80385 46.00512 25 1.28243 1.45095 1.64061 1.85 394 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339 4.29187 5.42743 6.84140 8.6230B 10,83471 13.58546 17.00006 95.39622 30 1.34785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 3.74532 4.32194 4.98395 5.74349 7.61226 10.06266 13.26768 17.44940 22.89230 29.95992 237.37631 40 1.48886 1.81402 2.20804 2.68506 3.26204 3.95926 4.80102 5.81636 7.03999 0.51331 10.28572 14.97446 21.72452 31.40942 45.25926 65.00087 93.05097 1469.77160 Table 2 (use when necessary according to sample answer format) TABLE 2 Present Value of $1 20.0% 9.0% 3.09 12.0% 11.0% 10.0% 0.83333 0.91743 0.90909 0.84168 0.82645 0.77218 0.75131 0.70543 0.68301 0.64993 0.62092 0.90090 0.89286 0.81162 0.79719 0.73119 0.71178 0.65873 0.62552 0.593450.56743 0.69444 0.57870 0.48225 0.40188 PV = (1 + 0 n 1.0 1:5% 2.0% 2.5% 3.0% 3.5% -4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 10.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787 0.94340 0.93458 0.92593 2 0.98030 0.97066 0.96117 0.95181 0.94260 0.93351 0.92456 0.91573 0.90703 0.89845 0.89000 0.87344 0.85734 3 0.97059 0.05632 0.94232 0.92860 0.91514 0.90194 0.88900 0.87630 0.86384 0.85161 0.83962 0.81630 0.79383 0.98098 0.94218 0.92385 0.90595 0.33849 0.87144 0.85480 0.83856 0.82270 0.80722 0.79209 0.76290 0.73503 5 0.95147 0.92826 0.00573 0.88385 0.86261 0.84197 0.32193 0.80245 0.78353 0.76513 0.74726 0.71299 0.68058 6 0.94205 0.91454 0.88791 0.86230 0.63748 0.81350 0.79031 0.76790 0.74622 0.72525 0.70496 0.66634 0.63017 7 0.93272 0.90103 0.87056 0.84127 0.81309 0.78599 0.75992 0.73483 0.71068 0.68744 0.66506 0.62275 0,58349 8 0.92348 0.80771 0.85349 0.82075 0.78941 0.75941 0.73069 0.70319 0.67684 0.65160-0.62741 0.58201 0.54027 90.91434 0.87459 0.83676 0.80073 0.76642 0.73373 0.70259 0.67290 0.64461 0.61763 0.59190 0.54393 0.50025 10 0.90529 0.86167 0.82035 0.78120 0.74409 0.70892 0.67556 0.64393 0.61391 0.58543 0.55839 0.50835 0.46319 0.59627 0.56447 0.54703 0.51316 0.50187 0.46651 0.46043 0.42410 0.42241 0.38554 0.53464 0.50663 0.48160 0.45235 0.43393 0.40388 0.39092 0.36061 0.33490 0.27900 0.23257 0.19381 0.16151 0.35218 0.32197 0.31728 0.28748 0.28584 0.25668 0.25751 0.22917 0.23199 0.20462 0.20000 0.18270 0.13459 0.11216 0.09346 0.07789 0.06491 11 0.89632 0.84893 0.80426 0.76214 0.72242 0.68495 0.64958 0.61620 0.58468 0.55491 0.52679 0.47509 0.42888 0.38753 0.35049 20.88745 0.83639 0.78849 0.74356 0.70138 0.66178 0.62460 0.50966 0.55684 0.52598 0.49697 0.44401 0.39711/ 0.35553 0.31863 13 0.87866 0.82403 0.77303 0.72542, 0.60095 0.63940 0.60057 0.56427 0.53032 0.49856 0.46884 0.414960.36770 0.32618 0.28966 14 0.86996 0.81185 0.75788 0.70773 0.66112 0.61778 0.57748 0.53997 0.50507 0.47257 0.44230 0.38782 0.34046 0.29925 0.26333 15 0.86135 0.79985 0.74301 0.69047 0.64186 0.59689 0.55526 0.51672 0.48102 0.44793 0.41727 0.36245 0.31524 0.27454 0.23939 16 0.85282 0.78803 0.72845 0.67362 0.62317 0.57671 0.53391 0.49447 0.45811 0.42458 0.39365 0.33873 0.29189 0.25187 0.25187 0.21763 17 0.84438 0.77639 0.71416 0.65720 0.60502 0.55720 0.51337 0.47318 0.43630 0.40245 0.37136 0.31657 0.27027 0.23107 0.19784 18 0.83602 0.76491 0.70016 0.64117 0.58739 0.53836 0.49363 0.45280 0.41552 0.36147 0.35034 0.29586 0.25025 0.21199 0.17986 19 0.82774 0.75361 0.6B643 0.62553 0.57029 0.52016 0.47464 0.43330 0.39573 0.36158 0.33051 0.27651 0.23171 0.19449 0.16351 20 0.81954 0.74247 0.67297 0.61027 0.55368 0.50257 0.45639 0.41464 0.37689 0.34273 0.31180 0.25842 0.25842 0.21455 0.178.43 0.14864 0.18829 0.16312 0.16963 0.14564 0.152B2 0.13004 0.13768 0.11611 0.12403 0.10367 0.05409 0.04507 0.03756 0.03130 0.02608 21 0.81143 0.73150 0.65978 0.59539 0.53755 0.48557 0.43883 0.39679 0.35894 0.32486 0.29416 0.24151 0.10866 0.16370 0.13513 0.11174 0.09256 0.02174 24 0.78757 0.69954 0.62172 0.55288 0.49193 0.43796 0.39012 0.34770 0.31007 0.27666 0.24698 0.19715 0.15770.12640 0.10153 0.08170 0,06588 0.01258 25 0.77977 0.68921 0.60953 0.53939 0.47761 0.42315 0.37512 0.33273 0.29530 0.26223 0.23300 0.18425 0.14602 0.11597 0.09230 0.07361 0.07361 0.05882 0.01048 28 0.756B4 0.65910 0.57437 0.50068 0.43709 0.38165 0.33348 0.29157 0.25509 0.22332 0.19563 0.15040 0.11591 0 08955 0.06934 0.05382 0.04187 0.00607 29 0.74934 0.64936 0.56311 0.48866 0.42435 0.36875 0.32065 0.27902 0.24295 0.21168 0.18456 0.14056 0.10733 0.00215 0.06304 0.04849 0.03738 0.00506 30 0.74192 0.63976 0.55207 0.47674 0.41199 0.35628 0.30832 0.26700 0.23138 0.20064 0.17411 0.12137 0.09938 0.07537 0.05731 0.04368 0.03338 0.00421 31 0.73458 0.63031 0.54125 0.46511 0.39999 0.34423 0.29647 0.25550 0.22036 0.19018 0.16425 0.12277 0.09202 0.06915 0.05210 0.03935 0.02980 0.00351 40 0.67165 0.55125 0.45299 0.37243 0.30656 0.25257 0.20229 0.17193 0.14205 0.11746 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00068 Table 3 (use when necessary according to sample answer format) TABLE 3 Future Value of an Ordinary Annuity of $1 FVA = (1 + )" - 1 n/ 1.0% 1.5% 2.0% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 2 2.5% 3.0%, 3.5% 4.0% 1.0000 1.0000 1.0000 1.0000 2.0250 2.0300 2.0350 2.0400 3.0756 3.0909 3.1062 3.1216 4.1525 4.1836. 4.2149 4.2465 5.2563 5.3091 5.3625 5.4163 1.0000 1.0000 1.0000 2.0100 2.0150 2.0200 3.0301 3.0452 3.0804 4.0604 4.0909 4.1216 5.1010 5.1523 5.2040 3 1.0000 2.0450 3.1370 4.2782 5.4707 1.0000 2.0500 3.1525 4.3101 5.5256 1.0000 2.0550 3.1680 4.3423 5.5811 1.0000 2.0600 3.1836 4.3746 5.6371 1.0000 2.0700 3.2149 4.4399 5.7507 1.0000 2.0800 3.2464 4.5061 5.8666 1.0000 2.0900 3.2781 4.5731 5.9847 1.0000 2.1000 3.3100 4.6410 6.1051 1.0000 2.1100 3.3421 4.7097 6.2278 1.0000 2.1200 3.3744 4.7793 6.3528 1.0000 2.2000 3.6400 5.3680 7.4416 4 5 6 6.1520 6.2296 6.3081 6.3877 6.4684 6.5502 6.6330 2 7.2135 7.3230 7.4343 7.5474 7.6625 7.7794 7.8983 8 8.2857 8.4328 8.5830 8.7361 3.8923 9.051 9.2142 9.3685 9.5593 9.7546 9.9545 10.1591 10.3685 16.5828 10 10.4622 10.7027 10.9497 11.2034 11.4639 11.7314 12.0061 6.7169 8.0192 9.3800 10.8021 12.2892 6.8019 8.1420 9.5491 11.0266 12.5779 6.B01 6.9753 8.26698.3938 9.7216 9.8975 11.2563 11.4913 12.8754 13.180B 7.1533 7.3359 8.6540 8.9228 10.2599 10.6366 11.9780 12.4876 13.8164 14.4866 7.5233 9.2004 11.0285 13.0210 15.1929 7.7156 9.4872 11.4359 13.5795 15.9374 7.9129 9.7833 11.8594 14.1640 16.7220 8.1152 10.0890 12.2997 14.7757 17.5487 9.9299 12.9159 16.4991 20.7989 25.9587 9 11 11.5660 11.8633 12.1687 12.4835 12.8078 13.1420 13.4864 12 12.6825 13.0412 13.4121 13.795614.1920 14.6020 15.0258 13 13.8093 14.2368 14.6803 15.1404 15.6178 16.1130 16.6268 14 14.9474 15.4504 15.9739 16.5190 17.0863 17.6770 18.2919 15 16.0969 16.6821 17.2934 17.9319 18.5989 19.2957 20.0236 13.6412 15.4840 17.1599 18.9321 20.7841 14.2068 15.9171 17.7130 19.5986 21.5786 14.5835 16.3856 18.2868 20.2926 22.4087 14.9716 16.8699 18.8821 21.0151 23.2760 15.7836 16.6455 17.8885 18.9771 20.1406 21.4953 22.5505 24.2149 25.1290 27.1521 17.5603 20.1407 22.9534 26.0192 29.3609 18.5312 21.3843 24.5227 27.9750 31.7725 19.5614 20.6546 22.7132 24.1331 26.2116 28.0291 30.0949 32.3926 34.4054 37.2797 32.1504 39.5805 48.4966 59.1959 72.0351 16 17.2579 17.9324 18.6393 19.3B0Z 20.1569 20.9710 21.6245 22.7193 23.6575 24.6411 17 18.4304 19.2014 20.0121 20.0647 21.7616 22.7050 23.6975 24.7417 25,8404 26.9964 18 19.6147 20.4894 21.4123 22.3863 23.4144 24.4997 25.6454 26.8551 28.1324 29.4812 19 20.8109 21.7967 22.8406 23.9460 25.1169 26.3572 27.6712 29.0636 30.5390 32.1027 20 22.0190 23.1237 24.2974 25.5447 26.8704 28.2797 29.7781 31.3714 33.0660 34.8633 25.6725 28.2129 30.9057 33.7600 36.7856 27.8881 30.8402 33.9990 37.3790 40.9955 30.3243 33.7502 37.4502 41.4463 45.7620 33.0034 36.9737 41.3013 46.0185 51.1601 35.9497 40.5447 45.5992 51.1591 57.2750 39.1899 42.7533 87.4421 44.5000 48.8837 105.9306 50.3959 55.7497 128.1167 56.9395 63.4397 154.7400 64.2028 72.0524 186.6880 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 81.6087 225.0256 30 34.7849 37.5387 40.5681 43.9027 47.5754 51.6227 56.084961.0071 66.4388 72.4355 79,0582 94.4808 113.2832 136.3075 164.4940 199.0209 241.3327 1181.8816 40 48.8364 54.2679 60.4020 67.4026 75.4013 84.5503 95.0255 107,0303 120.7998 136.6056 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914 7343.8578 Present Value Factor for an Ordinary Annuity (Interest rate, Number of periods n) ni 1 2 3 6:1446 5 6 7 8 9 jo 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1% 3% 48 5% 6% 7% 8% 9% 10% 11% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.9009 1.9704 1.9416 1.9135 1.6861 1.8594 1.8334 1.BOBO 1.7833 1.7591 1.7355 1.7125 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 25771 2.5313 2.4859 2.4437 3.9020 3.8077 3,7171 36299 3,5460 3.4551 3.3872 3,3121 3,2397 3.1699 3.1024 4.8534 4.7135 4.5797 4.251. - 4.3295 4.2124 4.1002 3.99273.8897 3.7906 3.6959 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4,3553 4.2305 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684" 4.7122 -7.6517 7.3255 7,0197 - 6.7327 6.4632 6.2098 5.92.13 5.2466 55348 5.3349 5.1461 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 5.2469 5.9952 5.7590 5.5370 9.4713 5.9826 B.5302 8.1109 7.72177.3601 7.0236 6.7101 6.4177 5.8892 103676 9.7860 9.2526 8.7605 8.3064 7.1969 7.4987 7.1390 6.8052 6.4951 6.2065 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.53617.1607 6.8137 6.4924 12.1337 11.3484 10.6350 9.9856 9.3938 8.8527 8.3577 7.9038 7.4859 7.1034 6.7499 13.0037 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 7.7862 7:3667 6.9819 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 7. 1909 14.7179 13.5777 12.5611 11.6523 10.8378 10,1059 9.4466 8.8514 8.3126 7.8237 7.3792 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.5488 16.3983 14.9920 13.7535 12.6593 11.6896 10.8276. 10.0591 9.3719 8.7556 8.2014 7.7016 172260 16.6785 14.3238 13.1339 12.0353 11.1581 10.3356 9.6036 8.9501 8.3649 7.8393 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9,8181 9.1285 8.5136 7.9633 18.8570 17.0112 15.4150 14.0292 12.8212 11.7641 10.6355 10.0168 9.2922 8.6487 8.0751 19.6604 17.6580 15.9369 14.4511 13.1630 12.04 16 11.0512 10.2007 9.4424 8.7715 8.1757 20.4558 18.2922 16.4436 14.6668 13.4886 12.3034 11.2722 10.3711 9.5802 8.8832 8.2664 21.2434 18.9139 16.9355 15.2470 13.7986 12.550411.4693 10.528V 9.7066 8.9847 8.3481 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 11.5536 10.6748 9.6226 9.0770 8.4217 22 7952 20.1210 17.8768 15.9828 14.3752 13.0032 11.6258 10.8100 9.9290 9.1609 0.4881 23.5596 20.7069 18.3270 16.3296 14.6430 13.2105 11.9867 10.8352 10.0266 9.2372 8.5478 24.3164 21.2813 18.7641 16.6631 14.8901 13.4062 12.1371. 11.0511 10.1161 9.3066 B.6016 25.0558 21.8444 19.1885 16.9837 15.1411 13.5907 12.2777 11.1584 10.1983 9.3696 3.5501 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.4269 8.6938 26.5423 22.9377 20.0004 17.5805 15.5928 13.629112.5318 11.3498 10.3428 9.4790 8.7331 27.2696 23.4683 20.3688 17.8736 15.3027 14.0840 12.6466 11.4350 10.4062 9.5264 8.7688 27.9897 23.9886 20.7658 18.1476 16.0025 14.2302 12.7538 11.5139 10.4644 9.6694 8.8005 20.7027 24.4906 21.1318 18.4112 16.1929 14.3661 12.8540 11.6860 10.5178 9.6038 3.8293 29.4086 24.9986 21.4872 18.6046 16.3742 14.4982 12.9477 11.6546 10.5668 9.6442 8.8552 30.1075 25.4888 21.8323 18.9083 16.5469 14.6210 13.0352 11.7172 10.5118 9.6765 8.8786 30.7995 25.9695 22.1672 19.1426 16.7113 14.7368 13.1170 11.7752 10.6530 9.7059 8.8996 31.4847 26.4406 22.4925 19.3679 16.6679 14.8460 13 1935 11.8289 10.6908 9.7327 8.9186 32.1630 26.9026 22 B002 19.5845 17.0170414.9491 13.2649 11.87BB 10.7255 9.7570 8.9357 32.8347 27.3555 23.1148 19.7920 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.9511 33.4997 27.7995 23,4124 19.9931 17.2944 15.1330 13.3941 11.9672 10.7866 9.7991 8.9649 34.1581 282348 23.7014 20.1856 17.4232 15.2245 13.4524 12.0067 10.8134 9.8 174 8.9774 34.8100 28.6616 23.9819 20.3708 17.5459 15.3062 13.5070 12.0432 10.8380 9.8340 8.9886 35.4555 29.0000 24.2543 20.5408 17.6628 15.3832 13.5579 12.0771 10.8605 9.8491 8.9988 36.0945 29.4902 24.5187 20.7200 17.7741 15.4558 13.6055 12.1084 10.8812 9.8628 9.0079 12% 13% 14% 0.2924 0.8850 0.8722 1.6901 1.6681 1.6467 2.4010 2.3512 2.3216 2.0373 2.9745 2.9137 3.60483.5172 3.4331 4.1114 3.9975 3.8887 4.5633 4.4226 4.2883 4,9676 4.7988 4.6389 6.3282 5.1317 4.9464 5,65027 5.4262 5.2161 5.9377 5.6869 5.4527 6.1944 5.9176 5.6603 6.4235 6.1218 5.8424 6.6282 6.3025 6.0021 6.8109 6.4624 6.1422 6.9740 6.6039 6.2651 7.1196 6.7291 6.3729 7.2497 6.8399 6.4574 7.3658 6.9380 6.5504 7.4694 7.0248 6.6231 7.5620 7.1016 6.6870 7.6446. 7.1695 6.7420 7.7104 7.2297 6.7921 7.7843/ 7.2829 6.8351 7.8431 7.3300 6.8729 7.8957 7.3717 6.9061 7.9426 7.4085 6.9352 7.9844 7.4412 6.9607 8.0218 7.4701 6.9830 80552 7.4957 7.0027 0.0050 7.5183 7.0199 8.1116 7.5383 7.0350 8.1354 7.5560 7.0482 8.1566 7.5717 7.0599 8.1755 7.5856 7.0700 8.1924 7.5979 7.0790 8.2075 7.6087 7,0868 8.2210 7.6183 7.0937 8.2330 7.6268 7.0997 8.2438 7.6344 7.1050 8.2534 7.64107 1097 8.2619 7.6469 7.1138 8.2696 7.6522 7.1173 8.2764 7.6568 7.1205 8.2825 7.6609 7.1232 15% 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188 5.2337 5.4206 5.5831 5.7245 5.8474 5.9542 6.0472 6.1280 6.1982 6.2593 6.3125 6.3587 6.3988 6.4338 6.4641 6.4906 6.5135 6.5335 6.5509 6.5660 6.5791 6.5905 6.6005 6.6091 6.6166 6.6231 6.6288 6.6338 6.6360 6.6418 6.6450 6.6478 6.6503 6.6524 6.6543 16% 0.8621 1.6052 2 2459 2.7982 3.2743 3.6847 4.0386 4.3436 4.6065 4.8332 5.0286 5.1971 5.3423 5.4675 5.5755 5.8665 5.7487 5.8178 5.8775 5.9288 5.9731 6.0113 6.0442 6.0726 6.0971 6.1182 6.1364 6.1520 6.1556 6.1772 6.1872 6.1959 6.2034 6.2098 6.2153 6.2201 6.2242 6.2278 6.2309 6.2335 6.235a 6.2377 6.2394 6.2409 6.2421 17% 0.8547 1.5852 2.2096 2.7432 3.1993 3.5802 3.9224 4.2072 4.4506 4.65B6 4.8364 4.9884 5.1183 5.2293 5.3242 5.4063 5,4746 5,5339 5.5845 5.6270 5,6648 5.6964 5.7234 5.7465 5.7662 5.7831 5.7975 5.8099 5.8204 5.8294 5.8371 5.8437 5.8493 5.6541 5.8582 5.8617 5.6647 5.0673 5.5695 5.8713 5.8729 5.6743 5.8755 5.6765 5.8773 Page 1 of 1 Table 4 (use when necessary according to sample answer format)