Question
Sachs Brands' defined benefit pension plan specifies annual retirement benefits equal to: 1.4% service years final year's salary, payable at the end of each year.
Sachs Brands' defined benefit pension plan specifies annual retirement benefits equal to: 1.4% service years final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2004 and is expected to retire at the end of 2038 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $92,000 at the end of 2018 and the company's actuary projects her salary to be $290,000 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 2019, the pension formula was amended to: 1.55% 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 2019 with respect to Davenport after the amendment described above? 2. Since the amendment occurred at the beginning of 2019, amortization of the prior service cost begins in 2019. What is the prior service cost amortization that would be included in pension expense? 3. What is the service cost for 2019 with respect to Davenport? 4. What is the interest cost for 2019 with respect to Davenport? 5. Calculate pension expense for 2019 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 nearest whole dollar.)
1. Prior service cost 2. Prior service cost amortization 3. Service cost 4. Interest cost 5. Pension expense TABLE 2 Present Value of $1 $1 n/i 5.5% 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 0.942600.93351 0.92456 0.91 573 0.907030.89845 0.89000 0.87344 0.85734 0.84168 0.82645 0.81162 0.79719 .69444 3 0.97059 0.95632 0.94232 0.92860 0.91514 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 0.76513 0.74726 0.71299 0.68058 0.64993 0.62092 0.59345 0.56743 0.40188 1.0% 1.5% 2.0% 2.5% 3.0% 3.5% 4.0% 4.5% 5.0% 6.0% 7.0% 8.0% 9.0% 10.0% 11.0% 12.0% 20.0% 6 0.94205 0.91454 0.88797 0.86230 0.83748 0.81350 0.79031 0.76790 0.74622 0.72525 0.70496 0.66634 0.63017 0.59627 0.56447 0.53464 0.50663 0.33490 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 0.54703 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 0.62741 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 0.42888 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 0.16312 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 0.553680.50257 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 0.65978 0.59539 0.53755 0.48557 0.43883 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 0.60953 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 0.05882 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 0.04368 0.03338 0.00421 31 0.73458 0.63031 0.54125 0.46511 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 0.20829 0.17193 0.14205 0.11746 0.09722 0.06678 0.04603 0.03184 0.02209 0.01538 0.01075 0.00068 TABLE 4 Present Value of an Ordinary Annuity of $1 PVA n/i 1.096 1.596 2.0% 2.596 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 1.97040 1.95588 1.94156 1.92742 1.91347 1.89969 1.88609 1.87267 1.85941 1.84632 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.52778 3 2.94099 2.91220 2.88388 2.85602 2.82861 2.80164 2.77509 2.74896 2.72325 2.69793 2.67301 2.62432 2.57710 2.53129 2.48685 2.44371 2.40183 2.10648 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 3.23972 3.16987 3.10245 3.03735 2.58873 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 3.88965 3.79079 3.69590 3.60478 2.99061 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 4.48592 4.35526 4.23054 4.11141 3.32551 7 6.72819 6.59821 6.47199 6.34939 6.23028 6.11454 6.00205 5.89270 5.78637 5.68297 5.58238 5.38929 5.20637 5.03295 4.86842 4.71220 4.56376 3.60459 8 7.65168 7.48593 7.32548 7.17014 7.01969 6.87396 6.73274 6.59589 6.46321 6.33457 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 3.83716 9 8.56602 8.36052 8.16224 7.97087 7.78611 7.60769 7.43533 7.26879 7.10782 6.95220 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 4.03097 10 9.47130 9.22218 8.98259 8.75206 8.53020 8.31661 8.11090 7.91272 7.72173 7.53763 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 4.19247 11 10.36763 10.07112 9.78685 9.51421 9.25262 9.00155 8.76048 8.52892 8.30641 8.09254 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 4.32706 12 11.25508 10.90751 10.57534 10.25776 9.95400 9.663339.38507 9.11858 8.86325 8.61852 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 4.43922 13 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274 9.98565 9.68285 9.39357 9.11708 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 4.53268 14 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283 9.89864 9.58965 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 4.61057 15 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 9.71225 9.10791 8.55948 8.06069 7.60608 7.19087 6.81086 4.67547 16 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.8377710.46216 10.10590 944665 8.85137 8.31256 7.82371 7.37916 6.97399 4.72956 17 15.56225 14.90765 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 4.77463 18 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.82760 10.05909 9.37189 8.75563 8.20141 7.70162 7.24967 4.81219 19 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 9.60360 8.95011 8.36492 7.83929 7.36578 4.84350 20 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 4.86958 21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 10.83553 10.01680 9.29224 8.64869 8.07507 7.56200 4.89132 25 22.02316 20.71961 19.52346 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 11.65358 10.67478 9.82258 9.07704 8.42174 7.84314 4.94759 30 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 4.97894 40 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 7.15909 16.04612 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 4.99660Step by Step Solution
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