Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.3% service years final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2007 and is expected to retire at the end of 2041 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $96,000 at the end of 2021 and the company's actuary projects her salary to be $310,000 at retirement. The actuary's discount rate is 6%. (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) At the beginning of 2022, the pension formula was amended to: 1.45% Service years Final year's salary The amendment was made retroactive to apply the increased benefits to prior service years. Required:

1. What is the company's prior service cost at the beginning of 2022 with respect to Davenport after the amendment described above? 2. Since the amendment occurred at the beginning of 2022, amortization of the prior service cost begins in 2022. What is the prior service cost amortization that would be included in pension expense? 3. What is the service cost for 2022 with respect to Davenport? 4. What is the interest cost for 2022 with respect to Davenport? 5. Calculate pension expense for 2022 with respect to Davenport, assuming plan assets attributable to her of $200,000 and a rate of return (actual and expected) of 10%. (For all requirements, do not round intermediate calculations. Round your final answers to the nearest whole dollar.)

Answers:

Notes:

FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1 Tables:

1. 2. Prior service cost Prior service cost amortization Service cost Interest cost 3. 4. 5. Pension expense TABLE 1 Future Value of $1 FV = $1(1+)" 5.0 6.09 10.0% 12.0% 20.0% 11.0% 1.11000 1.06000 1.10000 1.12000 1.20000 112360 1.21000 1.23210 125440 1.44000 Hit 1.0% 1.5% 2.0% 2.5% 1.0% 1 1.01000 1.01500 1.02000 1.02500 1.03000 2 1.02010 1.03022 1.04040 1.05063 1.06090 3 1.03030 1.04568 1.06121 1.07689 1.09273 4 1.04060 106136 1.08243 110381 112551 5 1.05101 1.07728 1.10408 1.13141 1.15927 3.5% 4.0% 45% 5.5% 1.03500 1.04000 1.04500 1.05000 1.05500 1.07123 1.08160 1.09203 1.10250 1.11303 1.10872 1.12486 1. 12486 114117 1.14117 1.15763 1.17424 1.14752 1.16986 1.19252 121551 123882 1.18769 12165 1.24618 1.27628 130696 7.0% 1.07000 114490 121504 131080 1.40255 8.0% 1.08000 1.16640 1.25971 136049 1.46933 9.0% 1.09000 1.18810 1.29503 1.41158 153862 119102 133100 1.36763 1.40493 1.72800 1262 151807 157352 2.07360 1.46410 1.61051 133823 1.68506 176234 2.48832 1.19405 1.87041 1.97382 298598 17156 194872 122987 207616 221068 358318 6 1.06152 1.0934 1.12616 1.15969 7 1.07214 1.10984 1.14869 1.18869 8 1.08286 1.12649 1.17166 1.21840 9 1.09369 1.14339 1.19509 1.24886 10 1.10462 1.16054 1.21899 1.28008 1266 TT 1.22926 1.26532 130226 1.34010 137884 1.27228 131593 136086 1.40710 1.45468 1.36857 1.42210 1.47746 1.53469 1.36290 1.42331 1.48610 1.55133 1.61909 1.41060 1.48024 1.55297 1.62889 1.70814 131681 1.41852 1.50073 1.58687 1.67710 150363 160578 171382 1.82804 1.59385 171819 1.85093 1.99256 1.68948 1.83846 1.99900 2.17189 1.79085 1.96715 2.15892 2.36736 2.14359 230454 247596 4.29982 130477 235795 25584 2.77308 5.15978 134392 2.59374 2.83942 3.10585 6.19174 1.89830 2.33164 2.58043 2.85312 315176 347855 74300g 201220 281266 3.13843 3.49845 3.89598 8.91610 11 1.11567 1.1795 124337 131209 12 1.12683 1.19562 126824 1.34489 13 113809 121355 1.29361 137851 14 1.14947 1.23176 1.31948 1.31948 1.41297 15 1.16097 125023 134587 134587 1.44830 138423 1.45997 153945 1.62285 1.71034 1.80209 1.42576 1.51107 1.60103 1.69588 1.79586 190121 1.46853 1.56396 1.66507 1.77220 1.88565 2.00577 151259 1.61869 1.73168 1.85194 197993 211609 2.10485 225219 2.40985 257853 2.51817 2.71962 2.13293 3.06580 3.45227 3.88328 4.36349 10.69932 226090 2.93719 3.34173 3.79750 4.3104 4.88711 12.83918 1.55797 1.67535 1.80094 193528 2.07893 2.23248 239656 2.75903 3.17217 3.4248 4.1725 4.78459 5.47357 15.10702 254035 295216 4.59497 5.3109 6.13039 18.48843 2.69277 3.15882 5.05447 5.8959 6 86604 22.18611 | 16 1.17258 126899 137279 1.48451 1.60471 1.73399 1.87298 2.02237 2.18287 235526 17 1.18430 1.2802 1.40024 1.52162 1.65285 1.79468 1.94790 2.11338 229202 2.48480 18 1.19615 1.30734 1.42825 1.42825 155966 1.70243 1.85749 2.02582 2.20848 2.40662 2.62147 19 120811 132695 132695 1.45681 1.59865 1.75351 1.92250 210685 2.30786 2.52695 2.76565 20 1.22019 134686 1.48595 1.63862 1.80611 198979 2.19112 2.41171 2.65330 291776 2.85434 3.42594 3.97031 3.70002 4.32763 3.99602 4.71712 4.31570 5.14166 4.66096 5.60441 5.55992 6.54355 768997 26.62333 3.37993 3.61653 386968 3.02560 66.11591 7.234 61276 31.94800 320714 6.72750 8.06231 94629 38.33760 3.39956 5.03383 6.1081 7.40025 18.94917 10.80385 46.00512 4.14056 5.42743 42918) 6.84848 8.62308 10.83471 13.58546 17.00006 95.39622 21 1.23239 136706 1.51567 1.67958 1.86029 2.05943 227877 2.52024 2.78596 3.07823 25 1.28243 1.45095 1.64061 1.64061 1.85394 2.09378 2.36324 2.6654 2.09378 2.36324 2.66584 3.00543 3.38635 3.81339 30 134785 1.56308 1.81136 2.09757 2.42726 2.80679 3.24340 3.74532 4.32194 4.98395 40 1.48886 1.81402 2.20804 2.68506 326204 3.95926 4.80102 5.81636 7.03999 8.51331 5.74349 7.61226 10.06266 13.26768 17.44940 22.89230 29.95992 23737631 1028572 1497446 21.72452 31.40942 45.25926 65.00087 93.05097 1469.77160 TABLE 2 Present Value of $1 $1 PV = (1+1)" mi 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 0.99010 0.98522 0.98039 0.97561 0.97087 0.96618 0.96154 0.95694 0.95238 0.94787 0.94340 0.93458 0.92593 0.91743 0.90909 0.90090 0.89286 0.83333 2 0.98030 0.97066 0.96117 0.95181 0.94260 0.93351 0.92456 0.91573 0.90703 0.90703 0.89845 0.89000 0.87344 0.85734 0.84168 0.82645 0.81162 0.79719 0.69444 3 0.97059 0.95632 0.94232 0.92860 091514 0.90194 0.88900 0.87630 0.86384 0.85161 0.83962 0.81630 0.79383 0.77218 0.75131 0.73119 0.71178 0.57870 4 0.96098 0.94218 0.92385 0.90595 0.88849 0.87144 0.85480 0.83856 0.82270 0.80722 0.79209 0.76290 0.73503 0.70843 0.68301 0.65873 0.63552 0.48225 5 0.95147 0.92826 0.90573 0.88385 0.86261 0.84197 0.82193 0.80245 0.78353 0.80245 0.78353 0.76513 0.74726 0.71299 0.68058 0.64993 0.62092 0.59345 0.56743 0.40188 6 0.94205 0.91454 0.88797 0.86230 0.83748 0.81350 0.79031 0.76790 0.74622 0.72525 0.76790 0.74622 0.72525 0.70496 0.70496 0.66634 0.63017 0.59627 0.56447 0.53464 0.50663 0.33490 7 0.93272 0.90103 0.90103 0.87056 0.84127 0.81309 0.78599 0.75992 0.73483 0.71068 0.68744 0.66506 0.62275 0.58349 0.54703 0.51316 0.51316 0.48166 0.45235 0.27908 8 0.92348 0.88771 0.85349 0.82075 0.78941 0.75941 0.73069 0.70319 0.67684 0.65160 0.65160 0.62741 0.58201 0.58201 0.54027 0.50187 0.46651 0.43393 0.40388 0.23257 9 0.91434 0.87459 0.83676 0.80073 0.76642 0.73373 0.70259 0.67290 0.64461 0.61763 0.59190 0.54393 0.50025 0.46043 0.42410 0.39092 0.36061 0.19381 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 0.42241 0.38554 0.35218 0.32197 0.16151 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 0.47509 0.42888 0.38753 0.35049 0.31728 0.28748 0.13459 12 0.88745 0.83639 0.78849 0.74356 0.70138 0.66178 0.62460 0.58966 0.55684 0.52598 0.49697 0.44401 0.39711 0.35553 0.31863 0.28584 0.25668 0.11216 13 0.87866 0.82403 0.77303 0.72542 0.68095 0.63940 0.60057 0.56427 0.53032 0.49856 0.46884 0.41496 0.36770 0.32618 0.28966 0.25751 0.22917 0.09346 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 0.23199 0.20462 0.07789 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 0.20900 0.18270 0.06491 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 0.21763 0.18829 0.18829 0.16312 0.05409 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 0.16963 0.14564 0.04507 18 0.83602 0.76491 0.70016 0.64117 0.58739 0.53836 0.49363 0.45280 0.41552 0.38147 0.35034 0.29586 0.25025 0.21199 0.17986 0.15282 0.13004 0.03756 19 0.82774 0.75361 0.68643 0.62553 0.57029 0.52016 0.47464 0.43330 0.39573 0.36158 0.33051 0.27651 0.23171 0.19449 0.16351 0.13768 0.11611 0.03130 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 0.21455 0.17843 0.14864 0.12403 0.10367 0.02608 21 0.81143 0.73150 0.73150 0.65978 0.59539 0.53755 0.48557 0.43883 0.43883 0.39679 0.39679 0.35894 0.32486 0.29416 0.24151 0.19866 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 0.12640 0.10153 0.08170 0.06588 0.01258 25 0.77977 0.68921 0.609530.53939 0.47761 0.42315 0.37512 0.33273 0.29530 0.26223 0.23300 0.18425 0.14602 0.11597 0.09230 0.07361 0.05882 0.01048 28 0.75684 0.65910 0.57437 0.50088 0.43708 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 0.08215 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 0.13137 0.09938 0.07537 0.05731 0.05731 0.04368 0.03338 0.00421 31 0.73458 0.63031 0.54125 0.46511 0.39999 0.34423 0.39999 0.34423 0.29646 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 0.55126 0.45289 0.37243 0.30656 0.25257 0.208290.17193 0.14205 0.11746 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00068 TABLE 3 Future Value of an ordinary Annuity of $1 (1 + i)" - 1 i FVA= 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 1.0000 1.0000 1.0000 1.0000 1.0000 7.0% 1.0000 2.0700 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0100 2.0400 2.0500 2.0550 2.0600 2.0800 2.0900 2.1000 2.1100 2.1200 2. 2000 3 3 0301 1.0000 1.0000 1.0000 2.0150 2.0200 2.0250 3.0452 3.0604 3.0756 4.0909 4.1216 4.1525 5.1523 5.2040 5.2563 1.0000 1.0000 2.0300 2.0350 3.0909 3.1062 4.1836 4.2149 5.3091 5.3625 3.1216 1.0000 2.0450 3.1370 4.2782 5.4707 3.1525 3.1680 3.1836 3.2149 3.2464 3.3100 3.3421 3.3744 3.6400 3.2781 4.5731 4 4.0604 4.2465 4.3101 4.3423 4.3746 4.4399 4.5061 4.6410 4.7097 4.7793 5.3680 S 5.1010 5.4163 5.5256 5.5811 5.6371 5.7507 5.8666 5.9847 6.1051 6.2278 6.3528 7.4416 6 6.1520 6.2296 6.3081 6.3877 6.4684 6.5502 6.6330 6.7169 6.8019 6.8881 6.9753 7.1533 7.3359 7.5233 7.7156 7.9129 8.1152 9.9299 7 7 7.2135 7.3230 7.4343 7.5474 7.6625 7.7794 7.8983 8.0192 8.2669 8.3938 8.6540 8.9228 9.2004 9.4872 9.7833 10.0890 12.9159 8 8.2857 8.4328 8.5830 8.7361 8.8923 9.0517 9.2142 9.3800 8.1420 9.5491 11.0266 9.7216 9.8975 10.2598 10.6366 11.0285 11.4359 11.8594 12 2997 16.4991 9 9.3685 9.5593 9.7546 10.8021 11.2563 11.4913 11.9780 12.4876 13.0210 13.5795 14.1640 14.7757 20.7989 9.9545 10.1591 10.3685 10.5828 11.2034 11.4639 11.7314 12.0061 10 10.4622 10.4622 10.7027 10.9497 12.2882 12.5779 12.8754 13.1808 13.8164 14.4866 15.1929 15.9374 16.7220 17.5487 25.9587 13.8412 14.2068 14.5835 16.6455 17.5603 18.5312 19.5614 20.6546 32.1504 12 15.4640 15.9171 16.3856 18.9771 20.1407 21.3843 22.7132 24.1331 39.5805 13 11.5668 11.8633 12.1687 12.4835 12.8078 13.1420 13.4864 12.6825 13.0412 13.4121 13.7956 14.1920 14.6020 15.0258 13.8093 14.2368 14.6803 15.1404 15.6178 16.1130 16.6268 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 17.1599 17.7130 18.2868 14.9716 15.7836 16.8699 17.8885 18.8821 20.1406 21.0151 22.5505 23.2760 25.1290 21.4953 22.9534 24.5227 26.2116 28.0291 48.4966 14 18.9321 19.5986 20.2926 24.2149 26.0192 27.9750 30.0949 32.3926 59.1959 20.7841 21.5786 22.4087 27.1521 29.3609 31.7725 34.4054 37.2797 72.0351 22.7193 23.6575 24.6411 25.6725 30.3243 33.0034 35.9497 39.1899 42.7533 87.4421 24.7417 25.8404 26.9964 36.9737 27.8881 30.8402 33.9990 40.5447 44.5008 48.8837 16 17.2579 17.9324 18.6393 19.3802 20.1569 20.9710 21.8245 17 18.4304 19.2014 20.0121 20.8647 21.7616 22.7050 23.6975 18 19.6147 20.4894 21.4123 22.3863 23.4144 24.4997 25.6454 19 20.8109 21.7967 22.8406 23.9460 25.1169 26.3572 27.6712 20 22.0190 23.1237 24.2974 25.5447 26.8704 28.2797 29.7781 105.9306 28.2129 30.9057 33.7502 37.4502 26.8551 28.1324 29.4812 41.3013 45.5992 50.3959 55.7497 128.1167 29.0636 30.5390 32.1027 33.7600 37.3790 41.4463 46.0185 56.9395 63.4397 154.7400 51.1591 57.2750 31.3714 33.0660 34.8683 36.7856 40.9955 45.7620 51.1601 64.2028 72.0524 186.6880 21 23.2392 24.4705 25.7833 27.1833 28.6765 30.2695 30.2695 31.9692 33.7831 35.7193 30 34.7849 37.5387 40.5681 43.9027 47.5754 51.6227 56.0849 61.0071 66.4388 37.7861 39.9927 44.8652 50.4229 56.7645 64.0025 72.2651 81.6987 225.0256 72.4355 79.0582 94.4608 113.2832 136.3075 164.4940 199.0209241.3327 1181.8816 136.6056 154.7620 199.6351 259.0565 337.8824 442.5926 581.8261 767.0914 7343.8578 40 48.8864 54.267960.4020 67.4026 75.4013 84.5503 95.0255 107.0303 120.7998 TABLE 4 Present Value of an ordinary Annuity of $1 1 - (1+1 i PVA 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 0.99010 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 1.97040 1.95588 1.94156 1.92742 1.91347 1.88609 1.87267 1.85941 1.84632 1.83339 1.80802 1.78326 1.89969 2.80164 3 2.94099 2.91220 2.88388 2.85602 2.82861 2.77509 2.74896 2.72325 2.69793 2.67301 2.62432 2.57710 0.91743 0.90909 0.90090 0.89286 0.83333 1.75911 1.73554 1.71252 1.69005 1.71252 1.69005 1.52778 2.53129 2.48685 2.44371 2.40183 2.10648 3.23972 3.16987 3.10245 3.03735 2.58873 3.88965 3.79079 3.69590 3.60478 2.99061 4 3.90197 3.85438 3.80773 3.76197 3.71710 3.67308 3.62990 3.58753 3.54595 3.50515 3.46511 3.38721 3.31213 5 4.85343 4.78264 4.71346 4.64583 4.57971 4.51505 4.45182 4.38998 4.32948 4.27028 4.21236 4.10020 3.99271 6 5.79548 5.69719 5.60143 5.50813 5.41719 5.32855 5.24214 5.15787 5.07569 4.99553 4.91732 4.76654 4.62288 7 6.72819 6.59821 6.47199 6.34939 6.23028 6.11454 6.00205 5.89270 5.78637 5.58238 5.38929 5.20637 5.68297 6.33457 8 7.65168 7.48593 7.32548 7.17014 7.01969 6.87396 6.73274 6.59589 6.46321 6.20979 5.97130 5.74664 4.48592 4.35526 4.23054 4.11141 3.32551 5.03295 4.86842 4.712204.56376 3.60459 5.53482 5.33493 5.14612 4.96764 3.83716 5.99525 5.759025.53705 5.32825 4.03097 6.41766 6.14457 5.88923 5.65022 4.19247 9 8.56602 8.36052 7.97087 7.78611 7.60769 7.43533 7.26879 6.80169 6.51523 6.24689 8.16224 8.98259 7.10782 6.95220 7.72173 753763 10 9.47130 9.22218 8.75206 8.53020 8.31661 8.11090 7.91272 7.36009 7.02358 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 4.32706 7.16073 6.81369 6.49236 6.19437 4.43922 8.38384 7.94269 7.53608 11 10.36763 10.07112 9.78685 9.51421 9.25262 9.00155 8.76048 8.52892 8.30641 8.09254 12 11.25508 10.90751 10.57534 10.25776 9.95400 9.66333 9.38507 9.11858 8.86325 8.61852 13 12.13374 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274 9.98565 9.68285 9.39357 9.11708 14 13.003 70 12.54338 12.54338 12.10625 11.69091 11.29607 10.92052 10.92052 10.56312 10.22283 9.89864 9.58965 15 13.86505 13.34323 12.84926 12.38138 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 8.85268 8.35765 7.90378 8.74547 8.24424 9.29498 9.71225 7.48690 7.10336 6.74987 6.42355 4.53268 7.78615 7.36669 6.98187 6.62817 4.61057 8.060697.60608 7.190876.81086 4.67547 9.10791 8.55948 8.85137 8.31256 7.82371 7.37916 6.97399 4.72956 9.12164 8.54363 8.02155 8.02155 7.54879 7.11963 4.77463 16 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590 9.44665 17 15.56225 14.90765 14.29187 13.71220 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726 9.76322 18 16.39827 15.67256 14.99203 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.05909 19 17.22601 16.42617 15.67846 14.97889 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 2018.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.37189 8.75563 8.20141 7.70162 7.24967 4.81219 9.60360 8.95011 8.36492 7.839297.36578 4.84350 9.12855 8.51356 796333 7.46944 4.86958 9.81815 11.76408 10.83553 10.01680 9.29224 8.648698.07507 7.56200 4.89132 12.78336 11.65358 10.67478 9.82258 9.07704 8.42174 7.84314 4.94759 21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 25 22.02316 20.71961 19.52346 18.42438 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 30 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 40 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 17.15909 16.04612 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 4.97894 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 4.99660 TABLE 5 Future Value of an Annuity Due of $1 [(1 + i)" - 1 FVAD = X (1+i) 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 1 1.0100 1.0150 1.0200 1.0250 1.0300 1.0350 1.0400 1.0450 1.0500 1.0550 1.0600 1.0800 1.0900 1.1100 1.1200 1.2000 1.0700 2.2149 1.1000 2.3100 2 2.0301 2.0452 2.0604 2.0756 2.0909 2.1062 2.1216 2.1370 2.1525 2.1680 2.1836 2.2464 2.2781 2.3421 2.3744 2.6400 3 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2465 3.2782 3.3101 3.3423 3.3746 3.4399 3.5061 3.5731 3.6410 3.7097 3.7793 4.3680 4 4.1010 4.1523 4.2040 4.2563 4.3091 4.3625 4.4163 4.4707 4.5256 4.5811 4.6371 4.7507 4.8666 4.9847 5.1051 5.2278 5.3528 6.4416 5 5.1520 5.2296 5.3081 5.3877 5.4684 5.5502 5.6330 5.7169 5.8019 5.8881 5.9753 6.1533 6.3359 6.5233 6.7156 6.9129 7.1152 8.9299 6 6.2135 6.3230 6.4343 6.5474 6.6625 6.7794 6.8983 7.0192 7.1420 7.2669 7.3938 7.6540 7.9228 8.2004 8.4872 8.7833 9,0890 11.9159 7 7.2857 7.4328 7.5830 7.7361 7.8923 8.0517 8.2142 8.3800 8.5491 8.7216 8.8975 9.2598 9.6366 10.0285 10.4359 10.8594 11.2997 15.4991 8 8.3685 9.8021 10.2563 10.4913 11.4876 12.0210 13.1640 13.7757 19.7989 10.0266 11.5779 9 8.5593 8.7546 8.9545 9.1591 9.3685 9.5828 9.7027 9.9497 10.2034 10.2034 10.4639 10.4639 10.7314 11.0061 10.8633 11.1687 11.4835 11.8078 12.1420 12.4864 9.4622 11.2882 11.8754 10.9780 12.8164 14.7836 13.4866 15.7220 12.5795 14.9374 17.5312 12.1808 13.9716 16.5487 24.9587 14.1929 16.5603 10 10.5668 12.8412 13.2068 13.583 15.6455 18.5614 19.6546 31.1504 14.4640 14.9171 15.3856 15.8699 16.8885 17.9771 19.1407 20.3843 21.7132 23.1331 38.5805 16.1599 16.7130 17.2868 17.8821 19.1406 20.4953 21.9534 23.5227 25.2116 27.0291 47.4966 11 11.6825 12.0412 12.4121 12.7956 13.1920 13.6020 14.0258 12 12.8093 13.2368 13.6803 14.1404 14.6178 14.6178 15.1130 15.6268 13 13.9474 14.4504 14.9739 15.5190 16.0863 16.6770 17.2919 14 15.0969 15.6821 16.2934 16.9319 17.5989 18.2957 19.0236 15 16.2579 16.9324 17.6393 18.3802 19.1569 19.9710 20.8245 17.9321 18.5986 19.2926 20.0151 21.5505 23.2149 25.0192 26.9750 29.0949 31.3926 58.1959 19.7841 20.5786 21.4087 22.2760 24.1290 26.1521 28.3609 30.7725 33.4054 36.2797 71.0351 21.7193 22.6575 23.6411 24.6725 26.8881 29 3243 32.0034 34.9497 38.1899 41.7533 86.4421 23.7417 24.8404 32.7502 35.9737 39.5447 43.5008 47.8837 104.9306 25.8551 27.1324 25.9964 27.2129 28.4812 29.9057 31.1027 32.7600 36.4502 40.3013 44.5992 49.3959 54.7497 16 17.4304 18.2014 19.0121 19.8647 20.7616 21.7050 21.7050 22.6975 17 18.6147 19.4894 20.4123 21.3863 21.3863 22.4144 23.4997 24.6454 19.8109 20.7967 21.8406 22.9460 24.1169 25.3572 26.6712 19 21.0190 22.1237 23.2974 24.5447 25.8704 27.2797 28.7781 20 22.2392 23.4705 24.7833 26.1833 27.6765 29.2695 30.9692 127.1167 18 28.0636 29.5390 29.8402 32.9990 36.3790 39.9955 43.8652 40.4463 45.0185 50.1591 55.9395 62.4397 153.7400 30.3714 33.8683 35.7856 44.7620 50.1601 56.2750 63.2028 71.0524 185.6880 32.0660 34.7193 32.7831 36.7861 38.9927 49.4229 55.7645 63.0025 71.2651 80.6987 224.0256 37.5052 39.8643 42.3923 54.4568 61.8733 70.4027 80.2143 91.5026 270.0307 48.0057 67.6765 50.1135 53.9660 58.1564 78.9544 21 23.4716 24.8376 26.2990 27.8629 29.5368 31.3289 33.2480 35.3034 25 28.5256 30.5140 32.6709 35.0117 37.5530 40.3131 43.3117 46.5706 30 35.1327 38.1018 41.3794 45.0003 49.0027 53.4295 58.3283 63.7524 40 49.3752 55.0819 61.6100 69.0876 77.6633 87.5095 98.8265 98 8265 111.8467 69.7608 76.4194 83.8017 101.0730 122.3459 92.3240 108.1818 126.9988 149.3339 566.3773 148.5752 180.9434 220.9132 270.2926 270.2926 1418.2579 368.2919 486.8518 486.8518 645.8269 859.1424 8812.6294 126.8398 144.1189 164.0477 213.6096 279.7810 TABLE 6 Present Value of an Annuity Due of $1 an PVAD = (1+1) X (1+i) 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 7.0% 8.0% 9.0% 10.0% 1 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 11.0% 12.0% 20.0% 1.00000 1.00000 1.00000 1.90090 1.89286 1.83333 2 1.99010 1.98522 1.98039 1.97561 1.97087 1.96618 1.96154 1.95694 1.95238 1.94787 1.94340 1.93458 1.92593 1.91743 1.90909 3 2.97040 2.95588 2.94156 2.92742 2.91347 2.89969 2.88609 2.87267 2.85941 2.84632 2.83339 2.80802 2.78326 2.75911 2.73554 2.71252 2.69005 2.52778 4 3.94099 3.91220 3.88388 3.85602 3.82861 3.77509 3.74896 3.72325 3.67301 3.62432 3.57710 3.53129 3.80164 4.67308 3.69793 4.50515 3.48685 3.44371 3.40183 3.40183 3.10648 4.16987 4.10245 4.03735 3.58873 5 4.90197 4.85438 4.80773 4.76197 4.71710 4.62990 4.58753 4.54595 4.46511 4.38721 4.31213 4.23972 6 5.85343 5.78264 5.71346 5.64583 5.57971 5.51505 5.45182 5.38998 5.32948 5.27028 5.21236 5.10020 4.99271 4.88965 4.79079 4.69590 4.60478 3.99061 5.35526 5.23054 5.11141 4.32551 7 7 6.79548 6.69719 6.60143 6.50813 6.41719 6.32855 6.24214 6.15787 6.07569 5.99553 5.91732 5.76654 5.62288 5.48592 8 7.72819 7.59821 7.47199 7.34939 7.23028 7.11454 7.00205 6.89270 6.78637 6.68297 6.58238 6.38929 6.20637 6.03295 5.86842 5.71220 5.56376 4.60459 9 8.65168 8.48593 8.32548 8.17014 8.01969 7.87396 7.59589 7.46321 7.33457 7.20979 6.97130 6.74664 6.53482 6.33493 6.14612 5.96764 4.83716 7.73274 8.43533 10 9.56602 9.36052 9.16224 8.97087 8.78611 8.60769 8.26879 8.10782 7.95220 7.80169 7.51523 7.24689 6.99525 6.75902 6.53705 6.32825 5.03097 9.98259 9.75206 9.53020 9.31661 9.11090 8.91272 8.72173 8.53763 8.36009 8.02358 7.71008 7.41766 7.14457 6.88923 6.650225.19247 11 10.47130 10.22218 12 11.36763 11.07112 13 12.25508 11.90751 9.76048 9.52892 9.30641 9.09254 8.88687 8.49867 8.13896 7.80519 7.49506 7.20652 6.93770 5.32706 10.78685 10.51421 10.25262 10.00155 11.57534 11.25776 11.25776 10.95400 10.95400 10.66333 10.38507 10.11858 9.86325 9.61852 9.38384 8.94269 8.53608 8.16073 7.813697.49236 7.19437 5.43922 14 13.13374 12.73153 11.30274 10.98565 10.68285 9.85268 9.35765 8.90378 8.48690 8.10336 7.74987 7.42355 5.53268 12.34837 11.98318 11.63496 13.10625 12.69091 12.29607 10.39357 10.11708 10.89864 10.58965 15 14.00370 13.54338 11.92052 11.56312 11.22283 10.29498 9.74547 9.24424 8.78615 8.366697.98187 7.62817 5.61057 9.06069 17 9.31256 16 14.86505 14.34323 13.84926 13.38138 12.93794 12.51741 12.51741 12.11839 11.73955 11.37966 11.03758 10.71225 10.10791 9.55948 15.71787 15.13126 14.57771 14.05500 13.56110 14.05500 13.56110 13.09412 12.65230 12.23402 11.83777 12.23402 11.83777 11.46216 11.10590 10.44665 9.85137 18 16.56225 15.90765 15.29187 14.71220 14.16612 13.65132 13.16567 12.70719 12.27407 11.86461 11.47726 10.76322 10.76322 10.12164 1917.39827 16.67256 15.99203 15.35336 14.75351 14.18968 13.65930 13.65930 13.15999 12.68959 12.24607 11.82760 11.05909 10.37189 20 18.22601 17.42617 16.67846 15.97889 15.32380 14.70984 14.13394 13.59329 13.08532 12.60765 12.15812 11.33560 10.60360 9.54363 8.60608 8.19087 8.19087 7.81086 5.67547 8.82371 8.37916 7.973995.72956 9.02155 8.54879 8.54879 8.11963 5.77463 9.20141 8.70162 8.24967 5.81219 9.36492 8.83929 8.36578 5.84350 9.75563 9.95011 21 19.04555 18.16864 17.35143 16.58916 15.87747 15.21240 14.59033 14.00794 13.46221 15.49548 14.79864 25 22.24339 21.03041 19.91393 18.88499 17.93554 17.05837 16.24696 12.95038 12.46992 11.59401 10.81815 10.12855 9.51356 8.96333 8.46944 5.86958 14.15170 13.55036 12.46933 11.52876 10.70661 9.98474 9.34814 8.78432 5.93710 15.33310 14.59072 13.27767 13.27767 12.15841 11.19828 10.36961 9.65011 9.02181 5.97472 16.92866 15.94907 14.26493 12.87858 11.72552 10.75696 9.93567 9.23303 5.99592 17.02189 16.14107 30 26.06579 24.37608 22.84438 21.45355 20.18845 19.03577 17.98371 40 33.16303 30.36458 27.90259 25.73034 23.80822 22.10250 22.10250 20.58448 19.22966 18.01704