Net Present Value Use Exhibit 128.1 and Exhibit 128.2. to locate the present value of an annuity of $1, which is the amount to be multiplied times the future annual cash flow amount Each of the following scenarios is independent. Assume that all cash flows are after-tax cash flows a. Campbell Manufacturing is considering the purchase of a new welding system. The cash benefits will be $450,000 per year. The system costs $2,450,000 and will last 10 years b. Evee Cardenas is interested in investing in a women's specialty shop. The cost of the investment is $280,000. She estimates that the return from owning her own shop will be $40,000 per h estimates that the shop will have a useful life of 6 years. c. Barker Company calculated the NPV of a project and found it to be $63,900. The project's life was estimated to be 8 years. The required rate of retum used for the NPV calculation was 10%. The origctw expected to produce annual after-tax cash flows of $135,000 Required: 1. Compute the NPV for Campbell Manufacturing, assuming a discount rate of 12%. If required, round all present value calculations to the nearest dollar Use the minus sign to indicate a negative Should the company buy the new welding system? 2. Conceptual Connection: Assuming a required rate of return of 0%, calculate the NPV for Evee Cardenas investment Round to the nearest detar If required, mund al present value caculations to the nearest dollar. Use the minus sign to indicate a negative NPV Should she invest? What if the estimated return was $135,000 per year? Calculate the new NPV for Evec Cardenay investment. Would this affect the decision? What does this tell you about your analysis? Round the nearest dollar The shop L be purchased. This reveals that the decision to accept or reject in this case is affected by differences in estimated 3. What was the required investment for Barker Company's project? Round to the nearest dolac If required, round all present value calculations to the nearest do Exhibit 128.1 Present Value of a Single Amount 1% 2% 3% 7% 9% 10% 12% 14% 10% 1% 20% 25% 10% 10.99010 0.98039 0.97067 096154 0.95238 0.94340 0.91456 0.92593 0.91743 090909 0.89286 087719 66207 0.84746 083331 08000076923 2 096030 096117 094260 692456 090703 0.0000 0.87344 0.85734 0.84168 0.82645 679719 6947 0.74316 071818 040444 064000059172 097059 094212 0.91514 088000 0.06384 0.83962 081630 079383 0.77218 075131 0.71178 0477 0.44066 0408) 0.17070 0.51200045517 4096098 0.92385 0.88840 0.85480 082270 0.79209 0.76290 073503 070843 048301 063552 0.59206 0.55229 0.51579 0.48225 0.40000 $ 0.95147 0.90573 0.86261 082193 0.78353 074726 671299 068058 0.44903 0.62002 056743 0.51937 0.47611 041711 040188 632768 269 6094205 0.88797 0.81748 0.79031 0.74622 0.70006 0.66634 063017 0.59627 0.56447 0.50663 0.45559 0.41044 0.37043 0.33409 0.34 081748629033 7 0.93272 0.87056 0.81309 0.75992 071068 0.66506 042275 0.58340 0.54703 0.51316 0.45235 0.20964 0.35383 0.31303 .27908 0.20672 8.15917 092346 0.85340 078041 0.73069 0.47684 0.42741 0.58201 0.54027 0.50187 0.46651 0.40388 0.35056 0.30503 0.26604 0.25257 0.16777 0.1225 9091414 083676 076642 0.70259 0.44 0.50100 0.54393 050025 0.40043 042410 030061 0.30751 026295 022546 0.1981 013422 0940 10 090529 082015 0.74409 067556 0.61391 055839 0.50835 0.44319 042241 0.38554 0.32197 020974 0.2264819106 0.16353 0.1077007254 30 090529 082035202YOU 11 0.82632 0.80426 0.72342.00 11 089632 080426 072242 0.64958 0.58468 052679 0.47509 042888 038753 0.35049 028748 023442 0.19542 0.16192 013453 000100005580 12 088745 078849 0.70118 042440 0.55684 0.49607 0.44401 0.39711 0.35553 0.31863 025448 020756 016846 0.13722 011216 006872 004292 11 0.8766 0.77103 000 00 13 087866 0.77103 068095 0.40057 053032 046884 0.41406 0.34770 0.32618 028966 022917 018207 014523 011429 609346004001302 14 086996 0.75768 066112 057748 0.50507 0.44230 0.38782 0.34046 0.29925 026133 020462 015971 0.12520 009855 0.07 0.041 15 0.4810204172 12 088245 078 2540 1954 15 08611074301064186655526048102 0.41727 0.36245 0.315240274540233 018270 0.14000 0.10793 0.08352 0.06491 0035 16 085282 0.72845 042317 0.53391 0.45811 0.39345 0.31873 0.2919 025187 021763 14312 012289 0.09304 0.07078 0.4540 0015 0010 360 17 0.84438 0.71416 0.40502 0.51337 0.43630 0.37136 031652 027027 0.23102 0.14784 014564 0.10780 0.08021 0.059 0.04507 0.62252 0.01154 18 081602 070016 0.58739 0.49363 0.41552 0.35004 0.29586 0.25025 021199 01796 013004 0.00456 0.06014 005063 003754 001 19 082774 068643 0.57029 0.47464 0.39573 0.33053 0.27651 0.21171 019449 0.16151 011611 0.0295 0.0513900430 001130 001441 0004 20 081954 0.67297 035368 045639 037689 031180 025842 0.21455 017841 01464 030367 0.07276 0.05139 00351 002 001153 000 21 081143 0.65078 053755 043883 015804 0.29416 024151 0.19866 0.16370 9.13513 0.00256 006383 0.04430 00304 002124 0002200 22 080340 044684 0.52180042194 0.34185 027751 0.22571 0.18394 0.15018 0.12285 0.08264 0.05599 0.0381 0.02622 0.018110000001 23 0.79544 0.63416 0.30669 0.40173 0.32557 0.26180 0.21095 0.17032 011776 01116 007179 0.04911 000292 002222 001509 0.000 00023 24 0.78757 0.62172 049193 030012 031007 024608 0.19715 0.15770 0.12640 0.10153 0065 0.04308 0.02838 021843 001218 000472 0.0014 25 677977 0.60953 0.47761 0.37512 0.29530 021300 0.18425 0.14602 0.11597 0.00230 005442 001779 002447 001556 001048 0.003 0.00142 26 0.77205 0.59758 0.46369 0.36009 028124 0211 0.17220 0.13520 010639 008391 005252 001315 002109 000352 0.00074 0.0012 0.00109 27 0.76440 0.58586 045015 0.14482 026785 020737 0.16093 012519 008761 0.07628 0.0468 002908 0.01818 001146 0.00725 0.06242 00084 28 0.75684 0.57437 043708 033348 025508 0.19563 015040 011501 0.0955 0.00034 004187 0.00551 001567 000071 000007 0.0019000 29 0.74934 0.56311 042435 0.32065 024295 018456 0.14056 010713 00215 006304 00373 0.02217 001ST 800823 00006 0.0015 0.000 30 0.74102 055207 0.41199 0.30832 023138 0.17411 01377 0.09938 007537 005731 003338 0.00063 001165 0.0007 0.00421 800124 0.0003 A- Exhibit 120.2 Present Value of an Anuty 3% The 3 9 17% 14% 30% 21% 30% T 0.99010 0909 0.97087 0.08154 095238 09434 93458 69210) 9174300000286 087719 020 04/08133300000076923 2 1.97040 194156 1.91347 1809 185041 183339 1.80802 178126 1.759111.73554 14005 164666 140523 156564 1.52778 144000 136095 3294099 2.88388 282841 277500 272325 267301 262422 257710 2511292.4685 240183 232143 224 217427 210648 11200 4390197 180771 171710 162990 154595 146511 138721 131213 1230723.100 103715 201171 271 269006 2.58873 236140116624 5 485342 471346 457971 445182 432948 421214 410020 199271 1809653.9079 140475 143308 127429 112717 2.000 2.4892814155 6570548 560143 541719 524214 507549 491712 476654 462288 448592 4.35526 411141 1 L44 1490 1.32551 295142 24427 7672819 647199 623028 600205 5.78617 5.58238 538929 520637 502295486842 4.56376 428830 403857 141153 100450 116114 280211 8765168 7.32546 701969 671274 646321 620679 5.97130 $74664 553482533493 496764 443886 434359 407757 183716 1.321 202470 9554602816224 778611 743533 730782 680160 651523 62480 5995255.75002 532825 494637 440614 430302 4.000 146311101000 10 947130 898259 53000 11000 7.72173 7.36009 702358 471008 6417666.14457 565022 521612 483323 449409 410047 357050 300134 111379252627604883064) 7.88687 74967 713804680519649506 591770 545273 02864 445401 43270614564014734 12 11.25508 10.57534 9.95400 938507 836325 838184 794249 7.5360 7.14073681349 619417 5.44029 519711 479122 44322 172512319026 13 12.1337411.34837 10.63496 998545 0.39357 85268 835745 790378 74907.10336 642355 584216 534211 490951 451268 178000 122128 14 13.00070 12.10625 11.29607 10.54312 980864 92940 74547 24424 77157.14449 642817 400207 546753 500806 441057 120 124 15 11605124926 11.91794 1111839 10.37964 971225910791 851948 060697.40608 481086 614217 557546 5.00158 467547 145026 126821 16 1471787 11.57771-12.56110 11.45230 10.81777 10.10590 44665 885137 83126782171 69/109 626506 546850 516235 472956 1841 128324 17 1556225-1429187 1356612 12.16567 11:27407 10.47726 $76322 9.12164 85063802155 211963 637286 $74570 $22233 77465 1000 129480 18 16.30827 14.99203 11.75351 12.45930 11.68959 10.82740 10.0500 93718075563820141 724067 64742 531785 527314 481219 392794130169 19 17.22601 15.678461432380 13.13304 12.08532 11.35812 10.33560 9.60360 895011836402 7.34578 455817 587746 531624 484350 1042313103 20 18.04555 16.35143 1487747 13.39033 12.46221 11.46992 10.59421 081815 912855851156 746044 642313 592884 535275 486958 195388 131579 21 1701121 115.41502 14.02916 1282115 11.76408 1083553 10.014802922444869 756200 668696 597314 53368 480132 196111111064 22 1966038 1765805 1593602 14.45112 13.36300 12 04158 11.06124 10.20074 94434387714 764465 47420460113354000009147049 132296 23 20.45582 18.20220 16.44341 14.85484 13-48857 1230338 11.2721910.37106 58021 122 771843 479006 604425 541212 4924537632535 26 24 21.241391891303 16.93554 15.24406 137944 12.35016 11.40913 10.52876 7066194747242 681514607261 545005491710 11 132719 25 22.0231610.52346 17.41315 15.62208 14.09394 12.78336 11.65358 1067478 982258907704 7.84314 68/293 609704 546601 49059 1964 1.12 2279520 20.12104 17.87664 15.98277 14.17519 11.00317 1182578 10 80999928979.14095 789566 690608611818 548043 495412 398791332970 27 2155963 20.70600 18.32703 16 32959 1464303 13.23053 11.08671 10.93516 10.026589.21722 7.94255 493515 613636 54496360 1.90033 333054 28 24.31644 21.26127 18.76411 16.66306 14.89813 13.40616 12.13711 11.05308 10.11613930657 7.98442 696066 15204 550140 49006792213 29 2506579 2134418 19.18845 16.98171 15.14107 13.39072 1227767 11.15841 10.19826936961 02181 604304 614555 550083 497472 300181 131168 30 25.80771 22.39646 1940044 17.29203 15 37245 1376483 12.40004 11.25778 10.273659.420 805518 700266 617720 551485 407004 1990 131206 Each of the following scenarios is independent. Assume that all cash flows are after-tax cash flows. a. Campbell Manufacturing is considering the gurchase of a new welding system. The cash benefits will be $480,000 per year. The system costs $2,450,000 and will last 10 years. b. Evee Cardenas is interested in investing in a women's specialty shop. The cost of the investment is $280,000. She estimates that the return from owning her own shop will be $40,000 per year. She estimates that the shop will have a useful life of 6 years. c. Barker Company calculated the NPV of a project and found it to be $63,900. The project's life was estimated to be 8 years. The required rate of return used for the NPV calculation was 10%. The project was expected to produce annual after-tax cash flows of $135,000. Required: 1. Compute the PV for Campbell Manufacturing, assuming a discount rate of 12%. If required, round all present value calculations to the nearest dollar. Use the minus sign to indicate a negative NPV Should the company buy the new welding system? 2. Conceptual Connection: Assuming a required rate of return of 8%, calculate the NPV for Evee Cardenas investment. Round to the nearest dollar. If required, round all present value calculations to the searest dollar. Use the minus sign to indicate a negative NPV Should she invest What if the estimated return was $135,000 per year? Calculate the new NPV for Even Cardenas' investment. Would this affect the decision? What does this tell you about your analysis? Round to the nearest dollar The shop be purchased. This reveals that the decision to accept or reject in this case is affected by differences in estimated 3. What was the required investment for Barker Company's project? Round to the nearest dollar. If required, round all present value calculations to the nearest dollar Check My Work Exhibit 128.1 Present Value of a Single Amount / 1% 2% 36 4% 5% 6% 7% 30% 8% 9% 10% 12% 14% 16% 18% 20% 25% 1 0.99010 0.98039 0.97087 0.96154 0.95238 0.94340 0.93458 0.92593 0.91743 0.90909 0.89286 0.87719 0.86207 0.84746 0.83333 0.80000 076923 2 0.98030 0.96117 0.04260 0.92456 0.90703 0.89000 0.87344 0.85734 0.84168 082645 0.79719 0.76947 0.74316 0.71818 0.69444 0.64000 0.59172 3 0.97059 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.77218 075131 0.71178 0.67497 0.64066 0.60863 0.57870 0.51200 0.45517 4 0.96098 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 073503 070843 068301 0.63552 0.59208 0.55229 0.51579 0.48225 0.40960 0.15013 5 0.95147 0.90573 0.86261 0.82193 0.78353 074726 071299 0.68058 0.64993 0.62092 0.56743 0.51937 0.47611 0.43711 0.40185 0.32768 0.26933 6 0.94205 0.88797 0.83748 0.79031 0.74622 0.70496 0.66614 0.63017 0.59627 0.56447 0.50663 0.45559 0.41044 0.37043 0.33490 0.26214 0.20718 7 0.91272 0.87056 0.81309 0.75992 0.71068 0.66506 0.62275 0.58349 0.54703 0.51316 0.45235 0.39964 0.35383 0.31393 0.27908 0.20972 0.15937 8 0.92348 0.85349 0.78941 0.73069 0.67684 0.62741 0.58201 0.54027 0.50187 0.46651 0.40388 0.35056 0.30503 0.26604 0.21257 0.16777 0.12259 9 0.91434 0.83676 0.76642 0.70259 0.64461 0.59190 0.54393 0.50025 0.46043 0.42410 0.36061 0.30751 0.26295 0.22546 0.19381 0.13422 0.09430 10 0.90529 0.82035 0.74409 0.67556 0.61391 0.55839 0.50835 0.46319 0.42241 0.38554 0.32197 0.26974 0.22668 0.19106 0.16151 0.10737 0.07254 11 0.89632 0.80426 0.72242 0.64958 0.58468 0.52679 0.47509 0.42888 0.38753 0.35049 0.28748 0.23662 0.19542 0.16192 0.13459 0.08590 0.05580 12 0.88745 0.78849 0.70138 0.62460 0.55684 0.49697 0.44401 0.39711 0.35553 0.31863 0.25668 0.20756 0.16846 0.13722 0.11216 0.06872 0.04292 13 0.87866 0.77303 0.68095 0.60057 0.53032 0.46884 0.41496 0.36770 0.32618 0.28966 0.22917 0.18207 0.14523 0.11629 0.09346 0.05498 0.03302 14 0.86996 0.75788 0.66112 0.57748 0.50507 0.44230 0.38782 0.34046 0.29925 0.26333 0.20462 0.15971 0.12520 0.09855 0.07789 0.04398 0.02540 15 0.86135 0.74301 0.64186 0.55526 0.48102 041727 0.36245 0.31524 0.27454 0.23939 0.18270 0.14010 0.10793 0.08352 0.06491 0.03518 0.01954 16 0.85282 0.72845 0.62317 0.53391 0.45811 0.39365 0.33873 0.29189 0.25187 0.21763 0.16312 0.12289 0.09304 0.07078 0.05409 0.02815 0.01503 17 0.84438 0.71416 0.60502 0.51337 0.43630 0.37136 0.31657 0.27027 0.23107 0.19784 0.14564 0.10780 0.08021 0.05998 0.04507 0.02252 0.01156 18 0.83602 0.70016 0.58739 0.49363 0.41552 0.35034 0.29586 0.25025 0.21199 0.17986 0.13004 0.09456 0.06914 0.05083 0.03756 0.01801 0.00889 19 0.82774 0.68643 0.57029 0.47464 0.39573 0.33051 0.27651 0.23171 0.19449 0.16351 0.11611 0.08295 0.05139 0.04308 0.03130 0.01441 0.00684 20 0.81954 0.67297 0.55368 0.45639 0.37689 0.31180 0.25842 0.21455 0.17843 0.14864 0.10367 0.07276 0.05139 0.03651 0.02608 0.01153 0.00526 21 0.81143 0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 0.16370 0.13513 0.09256 0.06383 0.04430 0.03094 0.02174 0.00922 0.00405 22 0.80340 0.64684 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 0.15018 0.12285 0.08264 0.05599 0.03819 0.02622 0.01811 0.00738 0.00311 23 0.79544 0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 0.13778 0.11168 0.07379 0.04911 0.03292 0.02222 0.01509 0.00590 0.00239 24 0.78757 0.62172 0.49193 0.39012 0.31007 0.24698 0.19715 0.15770 0.12640 0.10153 0.06588 0.04308 0.02838 0.01883 0.01258 0.00472 0.00184 25 0.77977 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425 0.14602 0.11597 0.09230 0.05882 0.03779 0.02447 0.01596 0.01048 0.00378 0.00142 26 0.77205 0.59758 0.46369 0.36069 0.28124 0.21981 0.17220 0.13520 0.10639 0.08391 0.05252 0.03315 0.02109 0.01352 0.00874 0.00302 0.00109 27 0.76440 0.58586 0.45019 0.34682 0.26785 0.20737 0.16093 0.12519 0.09761 0.07628 0.04689 0.02908 0.01818 0.01146 0.00728 0.00242 0.00084 28 0.75684 0.57437 0.43708 0.33348 0.25509 0.19563 0.15040 0.11591 0.08955 0.06934 0.04187 0.02551 0.01567 0.00971 0.00607 0.00193 0.00065 29 0.74934 0.56311 0.42435 0.32065 0.24295 0.18456 0.14056 0.10733 0.08215 0.06304 0.03738 0.02237 0.01351 0.00823 0.00506 0.00155 0.00050 30 0.74192 0.55207 0.41199 0.30832 0.23138 0.17411 0.13137 0.09938 0.07537 0.05731 0.03338 0.01963 0.01165 0.00697 0.00421 0.00124 0.00038 Exhibit 128.2 Present Value of an Anquity 1% 2% 3% 4% 5% 6% 1 3 4 5 6 7 8 9 7% 8% 9% 10% 12% 14% 16% 18% 20% 25% 30% 0.99010 0.98039 0.97087 0.96154 0.95238 0.94340 0.93458 0.92593 0.91743 0.90909 0.89286 087719 0.86207 0.84746 0.83333 0.80000 076923 2 1.97040 1.94156 1.91347 1.88609 1.85941 1.83339 1.80802 1.78326 1.75911 1.73554 1.69005 1.64666 1.60523 1.56564 1.52778 1.44000 1.36095 2.94099 2.88388 2.82861 2.77509 2.72325 267301 262432 2.57710 2.531292.48685 240183 2.32163 2.24589 2.17427 2.10648 1.95200 1.81611 3.90197 380773 3.71710 3.62990 1.54595 346511 338721 331213 3.239723.16987 303735 2.91371 2.79818 2.69006 2.58873 2.36160 2.16624 4.85343 4.71346 4.57971 445182 432948 421236 4.10020 3.99271 3.88965 3.79079 3.60478 3.43308 327429 3.12717 2.99061 2.68928 2.43557 5.79548 5.60143 5.41719 5.24214 5.07569 4.91732 4.76654 4.62288 4.48592 4.35526 411141 3.88847 3.68474 3.49760 3.32551 2.95142 264275 6.72819 647199 623028 6.00205 5.78637 5.58238 5.38929 5.20637 5.032954.86842 456376 4.28830 403857 3.81153 3.60459 1.16114 2.80211 7.65168 7.32548 7.01969 6.73274 6.46321 6.20979 5.97130 5.74664 5.534825.33493 496764 4.63886 4.34359 4.07757 3.83716 3.32891 2.92470 8.56602 8.16224 778611 7.43533 7.10782 6.80169 6.51523 6.24689 5.99525 5.75902 5.32825 4.94637 4.60654 4.30302 4.03097 3.46313 3.01900 10 9.47130 8.98259 853020 8.11090 7.72173 7.36009 7.02358 671008 641766614457 5.65022 521612 483123 449409 419247 3.57050 3.09154 11 10.36763 9.78685 9.25262 8.76048 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 593770 545273 5.02864 4.65601 4.32706 165640 3.14734 12 11.25508 10.57534 9.95400 9.38507 8.86325 8.38384 7.94269 7.53608 7.160736.81369 6.19437 566029 5.19711 4.79322 443922 172512 3.19026 13 12.13374 11.34837 10.63496 9.98565 9.39357 885268 8.35765 7.90378 7.486907.10336 6.42355 584236 5.34233 4.90951 453268 3.78010 322128 14 13.00370 12.10625 11.29607 10.56312 9.89864 9.29498 8.74547 8.24424 7.786157.36669 6.62817 6.00207 5.46753 5.00806 461057 3.82408 3.24667 15 13.86505 12.84926 11.93794 11.11839 10.37966 9.71225 9.10791 8.55948 8.060697.60608 6.81086 6.14217 5.57546 5.09158 4.67547 3.85926 326821 16 14.71787 13.57771 12.56110 11.65230 10.83777 10.10590 9.44665 8.85137 8.312567.82371 6.97399 626506 5.66850 5.16235 472956 3.88741 3.28324 17 15.56225 14.29187 13.16612 12.16567 11.27407 10.47726 976122 9.12164 854363 802155 7.11963 637286 5.74870 5.22233 477463 3.90993 3.29480 18 16.39827 14.99203 13.75351 12.65930 11.68959 10.82760 10.05909 9.37189 8.755638.20141 7.24967 646742 581785 5.27316 481219 3.92794 3.30369 19 17.22601 15.67846 14.32380 13.13394 12.08532 11.15812 10.33560 9.60360 895011 8.36492 7.36578 655017 587746 531624 484350 3.94235 3.31053 20 18.04555 16.35143 14.87747 13.59033 12.46221 11.46992 10.59401 9.81815 9.12855851356 7.46944 662313 5.92884 $35275 486958 195188 3.31579 21 18.85698 17.01121 15.41502 14.02916 12.82115 11.76408 10.83553 10.01680 9.292248.64869 7.56200 6.68696 5.97314 5.38368 4.89132 196311 331984 22 19.66038 17.65805 15.93692 14.45112 13.16300 12.04158 11.06124 10.20074 9442438.77154 764465 6.74294 601133 540990 490943 197049 1.32296 23 20.45582 18.29220 16.44361 14.85684 13.48857 12.30338 11.27219 10.37106 9.58021 8.88322 771843 6.79206 604425 541212 4.92453 3.97639 3.32535 24 21.24339 18.91393 16.93554 15.24696 13.79864 12.55036 11.46933 10.52876 9.70661 8.98474 778432 683514 6.07263 5.45095 4.93710 3.96111 1.32719 25 22.02316 19.52346 17.41315 15 62208 14.09394 12.78336 11.65358 10.67478 9.82258 9.07704 7.84314 6.87293 609709 546691 4.94759 3.98489 1.32861 26 22.79520 20.12104 17.87684 15.98277 14.37519 13.00317 11.82578 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