Question
On January 1, Boston Company completed the following transactions (use a 7% annual interest rate for all transactions): (FV of $1, PV of $1, FVA
On January 1, Boston Company completed the following transactions (use a 7% annual interest rate for all transactions): (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided.)
- Promised to pay a fixed amount of $6,500 at the end of each year for eight years and a one-time payment of $116,000 at the end of the 8th year.
- Established a plant remodeling fund of $490,750 to be available at the end of Year 9. A single sum that will grow to $490,750 will be deposited on January 1 of this year.
- Agreed to pay a severance package to a discharged employee. The company will pay $75,500 at the end of the first year, $113,000 at the end of the second year, and $150,500 at the end of the third year.
- Purchased a $172,500 machine on January 1 of this year for $34,500 cash. A five-year note is signed for the balance. The note will be paid in five equal year-end payments starting on December 31 of this year.
2-a. In transaction (b), what single sum amount must the company deposit on January 1 of this year? (Round your answer to nearest whole dollar.)
2-b. What is the total amount of interest revenue that will be earned? (Round your answer to nearest whole dollar.)
3. In transaction (c), determine the present value of this obligation. (Round your answer to nearest whole dollar.)
use provided charts
Future Value of $1 Periods 4.25% 1.0% 2.0% 3.0% 3.75% 4.0% 5.0% 6.0% 7.0% 1.02000 1.03000 1.03750 1.06000 1 1.01000 1.04000 1.04250 1.05000 1.07000 1.06090 1.02010 1.04040 1.07641 1.08160 1.08681 1.10250 1.12360 1.14490 1.03030 1.06121 1.09273 1.12486 1.15763 1.19102 3 1.11677 1.13300 1.22504 4 1.12551 1.18115 1.21551 1.31080 1.04060 1.08243 1.15865 1.16986 1.26248 1.20210 1.23135 5 1.05101 1.10408 1.15927 1.21665 1.27628 1.33823 1.40255 1.06152 1.28368 1.34010 1.50073 6 1.12616 1.19405 1.24718 1.26532 1.41852 1.07214 1.14869 1.31593 1.33824 1.60578 7 1.22987 1.29395 1.40710 1.50363 1.17166 1.47746 1.08286 1.26677 1.34247 1.36857 1.39511 1.71819 1.59385 1.30477 1.39281 1.45440 1.55133 1,68948 9 1.09369 1.19509 1.42331 183846 1.44504 1.48024 1.79085 10 1.10462 1.21899 1.34392 1.51621 1.62889 1.96715 Future Value of $1 Periods 1.0% 3.0% 3.75% 4.25% 6.0% 7.0% 2.0% 4.0% 5.0% 1.24337 1.49923 1.89830 2.10485 1.11567 1.38423 1.53945 1.58065 1.71034 11 1.12683 1.26824 1.42576 1.55545 1.60103 1.64783 1.79586 2.01220 12 2.25219 1.13809 1.88565 2.13293 2.40985 13 1.29361 1.46853 1.61378 1.66507 1.71786 1.31948 2.57853 1.14947 1.51259 1.67430 1.73168 1.79087 2.26090 14 1.97993 1.73709 2.07893 15 1.16097 1.34587 1.55797 1.80094 1.86699 2.39656 2.75903 1.94633 2.18287 16 1.17258 1.37279 1.60471 1.80223 1.87298 2.54035 2.95216 1.18430 1.40024 1.86981 2.29202 17 1.65285 1.94790 2.02905 2.69277 3.15882 1.19615 3.37993 18 1.42825 1.70243 1.93993 2.02582 2.11529 2.40662 2.85434 1.20811 1.45681 2.01268 3.61653 19 1.75351 2.10685 2.20519 2.52695 3.02560 20 1.80611 2.08815 2.29891 2.65330 1.22019 1.48595 2.19112 3.20714 3.86968 25 1.28243 1.64061 2.09378 2.51017 2.66584 2.83075 3.38635 4.29187 5.42743 1.34785 1,81136 7.61226 3 2.42726 3.01747 3.24340 3.48564 4.32194 5.74349 Future Value of $1 Periods 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 1.08000 1.09000 1.11000 1.13000 1.14000 1.15000 1 1.10000 1.12000 1.20000 1.25000 1.16640 1.18810 1.21000 1.27690 1.29960 1.44000 1.56250 2 1.23210 1.25440 1.32250 1.25971 1.29503 3 1.33100 1.36763 1.40493 1.44290 1.48154 1.52088 1.72800 1.95313 1.36049 1.51807 1.68896 4 1.41158 1.46410 1.57352 1.63047 1.74901 2.07360 2.44141 1.53862 1.61051 1.76234 1.84244 2.01136 2.48832 1.46933 1.68506 1.92541 3.05176 1.58687 2.31306 6 1.67710 1.77156 1.87041 1.97382 2.08195 2.19497 2.98598 3.81470 1,82804 2.50227 2.66002 4.76837 7 1.71382 1.94872 2.07616 2.21068 2.35261 3.58318 1.85093 2.85259 8 1.99256 2.14359 2.30454 2.47596 2.65844 3.05902 4.29982 5.96046 1.99900 2.35795 9 2.17189 2.55804 2.77308 3.00404 3.25195 3.51788 5.15978 7.45058 2.36736 3.10585 3.39457 10 2.15892 2.59374 2.83942 3.70722 4.04556 6.19174 9.31323 Future Value of $1 14.0% Periods 9.0% 10.0% 11.0% 12.0% 13.0% 8.0% 15.0% 20.0% 25.0% 2.58043 3.47855 4.65239 11 2.33164 2.85312 3.15176 3.83586 4.22623 7.43008 11.64153 2.51817 3.89598 12 2.81266 3.13843 3.49845 4.33452 4.81790 5.35025 8.91610 14.55192 2.71962 3.06580 3.88328 6.15279 18.18989 13 3.45227 4.36349 4.89801 5.49241 10.69932 2.93719 3.34173 3.79750 4.88711 5.53475 6.26135 12.83918 22.73737 14 4.31044 7.07571 4.17725 6.25427 7.13794 15 3.17217 3.64248 4.78459 5.47357 8.13706 15.40702 28.42171 3.97031 4.59497 5.31089 16 3.42594 6.13039 7.06733 8.13725 9.35762 18.48843 35.52714 7.98608 22.18611 44.40892 4.32763 5.05447 6.86604 17 3.70002 5.89509 9.27646 10.76126 9.02427 5.55992 7.68997 12.37545 18 3.99602 4.71712 6.54355 10.57517 26.62333 55.51115 19 4.31570 6.11591 7.26334 8.61276 12.05569 14.23177 31.94800 5.14166 10.19742 69.38894 16.36654 20 4.66096 5.60441 6.72750 8.06231 9.64629 11.52309 13.74349 38.33760 86.73617 25 6.84848 8.62308 10.83471 13.58546 17.00006 21.23054 26.46192 32.91895 95.39622 264.69780 237.37631 30 10.06266 13.26768 17.44940 22.89230 29.95992 39.11590 50.95016 66.21177 807.79357 Future Value of Annuity of $1 Periods 1.0% 2.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 1.00000 2.06000 1.00000 2.01000 3.03010 4.06040 5.10101 6.15202 7.21354 8.28567 9.36853 10.46221 1.00000 2.02000 3.06040 4.12161 5.20404 6.30812 7.43428 8.58297 9.75463 10.94972 1.00000 2.03000 3.09090 4.18363 5.30914 6.46841 7.66246 8.89234 10.15911 11.46388 1.00000 2.03750 3.11391 4.23068 5.38933 6.59143 7.83861 9.13255 10.47503 11.86784 1.00000 2.04000 3.12160 4.24646 5.41632 6.63298 7.89829 9.21423 10.58280 12.00611 1.00000 2.04250 3.12931 4.26230 5.44345 6.67480 7.95848 9.29671 10.69182 12.14622 1.00000 2.05000 3.15250 4.31013 5.52563 6.80191 8.14201 9.54911 11.02656 12.57789 3.18360 4.37462 5.63709 6.97532 8.39384 9.89747 11.49132 13.18079 1.00000 2.07000 3.21490 4.43994 5.75074 7.15329 8.65402 10.25980 11.97799 13.81645 Future Value of Annuity of $1 Periods 1.0% 2.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 11.56683 12.68250 13.80933 14.94742 16.09690 17.25786 18.43044 19.61475 20.81090 22.01900 28.24320 34.78489 12.16872 13.41209 14.68033 15.97394 17.29342 18.63929 20.01207 21.41231 22.84056 24.29737 32.03030 40.56808 12.80780 14.19203 15.61779 17.08632 18.59891 20.15688 21.76159 23.41444 25.11687 26.87037 36.45926 47.57542 13.31288 14.81212 16.36757 17.98135 19.65565 21.39274 23.19497 25.06478 27.00471 29.01739 40.27112 53.79924 13.48635 15.02581 16.62684 18.29191 20.02359 21.82453 23.69751 25.64541 27.67123 29.77808 41.64591 56.08494 13.66244 15.24309 16.89092 18.60879 20.39966 22.26665 24.21298 26.24203 28.35732 30.56250 43.07648 58.48553 14.20679 15.91713 17.71298 19.59863 21.57856 23.65749 25.84037 28.13238 30.53900 33.06595 47.72710 66.43885 14.97164 16.86994 18.88214 21.01507 23.27597 25.67253 28.21288 30.90565 33.75999 36.78559 54.86451 79.05819 15.78360 17.88845 20.14064 22.55049 25.12902 27.88805 30.84022 33.99903 37.37896 40.99549 63.24904 94.46079 Future Value of Annuity of $1 Periods 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 1.00000 2.08000 3.24640 4.50611 5.86660 7.33593 8.92280 10.63663 12.48756 14.48656 1.00000 2.09000 3.27810 4.57313 5.98471 7.52333 9.20043 11.02847 13.02 104 15.19293 1.00000 2.10000 3.31000 4.64100 6.10510 7.71561 9.48717 11.43589 13.57948 15.93742 1.00000 2.11000 3.34210 4.70973 6.22780 7.91286 9.78327 11.85943 14.16397 16.72201 1.00000 2.12000 3.37440 4.77933 6.35285 8.11519 10.08901 12.29969 14.77566 17.54874 1.00000 2.13000 3.40690 4.84980 6.48027 8.32271 10.40466 12.75726 15.41571 18.41975 1.00000 2.14000 3.43960 4.92114 6.61010 8.53552 10.73049 13.23276 16.08535 19.33730 1.00000 2.15000 3.47250 4.99337 6.74238 8.75374 11.06680 13.72682 16.78584 20.30372 1.00000 2.20000 3.64000 5.36800 7.44160 9.92992 12.91590 16.49908 20.79890 25.95868 1.00000 2.25000 3.81250 5.76563 8.20703 11.25879 15.07349 19.84186 25.80232 33.25290 Future Value of Annuity of $1 Periods 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 16.64549 18.97713 21.49530 24.21492 27.15211 30.32428 33.75023 37.45024 41.44626 45.76196 73.10594 113.28321 17.56029 20.14072 22.95338 26.01919 29.36092 33.00340 36.97370 41.30134 46.01846 51.16012 84.70090 136.30754 18.53117 19.56143 21.38428 22.71319 24.52271 26.21164 27.97498 30.09492 31.77248 34.40536 35.94973 39.18995 40.54470 44.50084 45.59917 50.39594 51.15909 56.93949 57.27500 64.20283 98.34706 114.41331 164.49402 199.02088 20.65458 21.81432 23.04452 24.34928 32.15042 42.56613 24.13313 25.65018 27.27075 29.00167 39.58050 54.20766 28.02911 29.98470 32.08865 34.35192 48.49660 68.75958 32.39260 34.88271 37.58107 40.50471 59.19592 86.94947 37.27971 40.41746 43.84241 47.58041 72.03511 109.68684 42.75328 46.67173 50.98035 55.71747 87.44213 138.10855 48.88367 53.73906 59.11760 65.07509 105.93056 173.63568 55.74971 61.72514 68.39407 75.83636 128.11667 218.04460 63.43968 70.74941 78.96923 88.21181 154.74000 273.55576 72.05244 80.94683 91.02493 102.44358 186.68800 342.94470 133.33387 155.61956 181.87083 212.79302 471.98108 1054.79118 241.33268293.19922356.78685434.745151181.881573227.17427 Present Value of $1 Periods 1.0% 2.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 1 0.97087 0.95923 0.95238 0.99010 0.98039 0.96386 0.96154 0.94340 0.93458 2 0.89000 0.96117 0.94260 0.92902 0.92013 0.90703 0.98030 0.92456 0.87344 3 0.97059 0.88262 0.94232 0.91514 0.89544 0.88900 0.86384 0.83962 0.81630 4. 0.84663 0.76290 0.96098 0.88849 0.85480 0.82270 0.79209 0.92385 0.86307 5 0.90573 0.83188 0.82193 0.74726 O.71299 0.95147 0.86261 0.81212 0.78353 6 0.77901 0.70496 0.66634 0.94205 0.88797 0.83748 0.80181 0.79031 0.74622 7 0.93272 0.87056 0.81309 0.74725 0.71068 0.66506 0.77283 0.75992 0.62275 8 0.74490 0.62741 0.92348 0.85349 0.78941 0.73069 0.71679 0.67684 0.58201 0.70259 0.68757 0.59190 0.54393 0.91434 0.83676 0.76642 O.71797 0.64461 10 0.90529 0.82035 0.74409 0.69202 0.67556 0.65954 0.61391 0.55839 0.50835 Present Value of $1 Periods 1.0% 2.0% 3.0% 3.75% 4.0% 4.25% 5.0% 6.0% 7.0% 0.89632 0.72242 0.64958 0.63265 0.58468 0.52679 11 0.80426 0.66701 0.47509 0.55684 0.49697 12 0.88745 0.78849 0.70138 0.64290 0.62460 0.60686 0.44401 0.87866 0.77303 0.60057 0.58212 0.46884 0.41496 13 0.68095 0.61966 0.53032 0.86996 0.57748 0.75788 0.66112 0.59726 0.55839 0.50507 0.44230 0.38782 14 0.86135 0.74301 0.55526 15 0.64186 0.57568 0.53562 0.48102 0.41727 0.36245 0.72845 0.62317 0.53391 0.45811 0.39365 16 0.85282 0.55487 0.51379 0.33873 0.84438 0.60502 0.5348 0.49284 0.43630 0.31657 17 0.71416 0.51337 0.37136 0.83602 0.58739 0.51548 0.47275 18 0.70016 0.49363 0.41552 0.35034 0.29586 0.82774 0.49685 0.33051 19 0.68643 0.57029 0.47464 0.45348 0.39573 0.27651 0.67297 0.37689 0.25842 0.81954 0.55368 0.47889 0.43499 20 0.45639 0.31180 25 0.77977 0.60953 0.47761 0.39838 0.37512 0.35326 0.29530 0.23300 0.18425 0.74192 0.41199 0.33140 0.30832 0.28689 0.23138 30 0.55207 0.17411 0.13137 Present Value of $1 Periods 20.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 25.0% 1 0.90909 0.87719 0.86957 0.83333 0.92593 0.91743 0.90090 0.89286 0.88496 0.80000 2 0.84168 0.79719 0.75614 0.85734 0.82645 0.81162 0.78315 0.76947 0.69444 0.64000 3 0.73119 0.57870 0.79383 0.77218 0.75131 0.71178 0.69305 0.67497 0.65752 0.51200 0.73503 0.70843 0.48225 0.40960 4 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.68058 0.64993 0.59345 0.56743 0.32768 5 0.62092 0.54276 0.51937 0.49718 0.40188 6 0.59627 0.53464 0.63017 0.56447 0.50663 0.48032 0.45559 0.43233 0.33490 0.26214 0.58349 0.48166 0.39964 0.27908 0.20972 7 0.54703 0.51316 0.45235 0.42506 0.37594 8 0.54027 0.50187 0.43393 0.35056 0.32690 0.23257 0.46651 0.40388 0.37616 0.16777 9 0.19381 0.50025 0.46043 0.42410 0.39092 0.36061 0.33288 0.30751 0.28426 0.13422 0.46319 0.26974 0.16151 0.10737 0.42241 0.38554 0.35218 0.32197 0.29459 0.24718 10 Present Value of $1 Periods 15.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 20.0% 25.0% 0.42888 0.38753 0.35049 0.28748 0.23662 0.13459 0.08590 11 0.31728 0.26070 0.21494 0.25668 0.20756 0.11216 12 0.39711 0.35553 0.31863 0.28584 0.23071 0.18691 0.06872 0.28966 0.20416 0.16253 0.05498 13 0.36770 0.32618 0.25751 0.22917 0.18207 0.09346 0.34046 0.29925 0.26333 0.23199 0.14133 0.04398 14 0.20462 0.18068 0.15971 0.07789 0.23939 0.15989 15 0.31524 0.27454 0.20900 0.14010 0.12289 0.06491 0.03518 0.18270 0.16312 0.14150 0.12289 0.10686 16 0.29189 0.25187 0.21763 0.18829 0.05409 0.02815 0.04507 0.27027 0.14564 0.12522 0.10780 17 0.23107 0.19784 0.16963 0.09293 0.02252 0.08081 0.03756 18 0.25025 0.21199 0.17986 0.13004 0.11081 0.09456 0.01801 0.15282 0.07027 0.19449 0.08295 0.03130 0.23171 0.16351 0.11611 0.09806 0.01441 19 0.13768 0.21455 0.12403 0.10367 20 0.17843 0.14864 0.08678 0.07276 0.06110 0.02608 0.01153 0.11597 0.07361 0.05882 0.03779 0.01048 25 0.14602 0.09230 0.04710 0.03038 0.00378 0.03338 0.01963 0.01510 30 0.09938 0.07537 0.05731 0.04368 0.02557 0.00421 0.00124 Present Value of Annuity of $1 Periods 4.25% 1.0% 2.0% 3.0% 3.75% 4.0% 5.0% 6.0% 7.0% 1 0.96386 0.96154 0.94340 0.93458 0.99010 0.98039 0.97087 0.95923 0.95238 2 1.88609 1.87936 1.80802 1.94156 1.91347 1.89287 1.85941 1.83339 1.97040 3 2.88388 2.82861 2.78831 2.94099 2.77509 2.76198 2.72325 2.67301 2.62432 4 3.38721 3.90197 3.80773 3.71710 3.65138 3.62990 3.60861 3.54595 3.46511 4.21236 5 4.48326 4.45182 4.42073 4.85343 4.71346 4.57971 4.32948 4.10020 6 5.79548 5.60143 5.41719 5.28507 5.24214 5.07569 4.91732 4.76654 5.19974 7 6.47199 5.94699 6.72819 6.23028 6.05790 6.00205 5.78637 5.58238 5.38929 8 7.65168 6.66378 6.20979 7.32548 7.01969 6.80280 6.73274 6.46321 5.97130 9 8.56602 7.43533 6.51523 8.16224 7.78611 7.52077 7.35135 7.10782 6.80169 10 8.21279 7.02358 9.47130 8.98259 8.53020 8.11090 8.01089 7.72173 7.36009 Present Value of Annuity of $1 Periods 3.75% 1.0% 2.0% 3.0% 4.0% 4.25% 5.0% 6.0% 7.0% 8.30641 7.49867 11 10.36763 9.78685 9.25262 8.87979 8.76048 8.64354 7.88687 9.95400 9.52269 9.38507 7.94269 12 11.25508 10.57534 9.25039 8.86325 8.38384 13 12.13374 11.34837 10.63496 10.14236 9.98565 9.83251 9.39357 8.85268 8.35765 12.10625 11.29607 10.73962 14 13.00370 10.56312 10.39090 9.89864 9.29498 8.74547 10.92652 9.10791 15 13.86505 12.84926 11.93794 11.31530 11.11839 10.37966 9.71225 11.87017 14.71787 13.57771 11.65230 16 12.56110 11.44031 10.83777 10.10590 9.44665 15.56225 13.16612 11.27407 10.47726 17 14.29187 12.40498 12.16567 11.93315 9.76322 12.65930 12.40590 18 16.39827 14.99203 13.75351 12.92046 11.68959 10.82760 10.05909 19 17.22601 15.67846 13.41731 12.85938 12.08532 11.15812 10.33560 14.32380 13.13394 14.87747 20 18.04555 13.89620 13.59033 13.29437 12.46221 11.46992 10.59401 16.35143 15.62208 12.78336 25 22.02316 19.52346 17.41315 16.04320 15.21734 14.09394 11.65358 25.80771 30 22.39646 19.60044 17.82925 17.29203 16.77902 15.37245 13.76483 12.40904 Present Value of Annuity of $1 Periods 20.0% 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 25.0% 1 0.92593 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86957 0.83333 0.80000 2 1.78326 1.64666 1.75911 1.73554 1.71252 1.69005 1.66810 1.62571 1.52778 1.44000 2.40183 2.57710 2.48685 2.28323 2.53129 2.44371 2.36115 2.32163 2.10648 1.95200 4 3.16987 3.31213 3.23972 3.10245 3.03735 2.97447 2.91371 2.85498 2.58873 2.36160 5 3.99271 3.79079 3.60478 3.88965 3.69590 3.51723 3.43308 3.35216 2.99061 2.68928 6 4.62288 4.48592 4.35526 4.23054 4.11141 3.99755 3.88867 3.78448 3.32551 2.95142 5.20637 4.71220 4.16042 7 5.03295 4.86842 4.56376 4.42261 4.28830 3.60459 3.16114 5.53482 5.33493 5.14612 4.79877 4.63886 5.74664 4.96764 4.48732 3.83716 3.32891 5.75902 9 6.24689 5.99525 5.53705 5.32825 5.13166 4.94637 4.77158 4.03097 3.46313 6.71008 5.42624 10 6.41766 6.14457 5.88923 5.65022 5.21612 5.01877 4.19247 3.57050 Present Value of Annuity of $1 Periods 8.0% 9.0% 10.0% 11.0% 12.0% 13.0% 14.0% 15.0% 20.0% 25.0% 7.13896 6.49506 6.20652 5.23371 11 6.80519 5.93770 5.68694 5.45273 4.32706 3.65640 7.16073 6.49236 6.19437 12 7.53608 6.81369 5.91765 5.66029 5.42062 4.43922 3.72512 7.10336 6.74987 5.84236 7.90378 7.48690 4.53268 3.78010 13 6.42355 6.12181 5.58315 7.786 15 6.30249 14 8.24424 7.36669 6.98187 6.62817 6.00207 5.72448 4.61057 3.82408 7.19087 6.46238 5.84737 8.06069 7.60608 6.14217 15 8.55948 6.81086 4.67547 3.85926 8.85137 8.31256 6.97399 16 7.82371 7.37916 6.60388 6.26506 5.95423 4.72956 3.88741 8.02155 6.37286 17 9.12164 8.54363 7.54879 7.11963 6.72909 6.04716 4.77463 3.90993 18 9.37189 8.75563 8.20141 7.70162 7.24967 6.83991 6.46742 6.12797 4.81219 3.92794 7.83929 7.36578 6.93797 6.55037 6.19823 4.84350 19 9.60360 8.95011 8.36492 3.94235 20 9.81815 9.12855 8.51356 7.96333 7.46944 7.02475 6.62313 6.25933 4.86958 3.95388 8.42174 7.84314 7.32998 6.87293 6.46415 3.98489 25 10.67478 9.82258 9.07704 4.94759 11.25778 8.05518 7.00266 4.97894 3.99505 30 10.27365 9.42691 8.69379 7.49565 6.56598
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