Net Present Value and Competing Projects For discount factors use Exhibit 14B-1
ID: 2536320 • Letter: N
Question
Net Present Value and Competing Projects
For discount factors use Exhibit 14B-1 and Exhibit 14B-2.
Spiro Hospital is investigating the possibility of investing in new dialysis equipment. Two local manufacturers of this equipment are being considered as sources of the equipment. After-tax cash inflows for the two competing projects are as follows:
Both projects require an initial investment of $560,000. In both cases, assume that the equipment has a life of 5 years with no salvage value.
Required:
Round present value calculations and your final answers to the nearest dollar.
Year Puro Equipment Briggs Equipment 1 $320,000 $120,000 2 280,000 120,000 3 240,000 320,000 4 160,000 400,000 5 120,000 440,000 Exhibit 14B-1 Present Value of a Single Amount* 2% 10% 12% 14% 16% 18% 20% 25% 30% 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 0 76923 2 0.98030 0.96117 0.94260 0.92456 0.90703 0.89000 0.87344 0.85734 0.84168 0.82645 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 0.75131 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 0.73503 0.70843 0.68301 0.63552 0.59208 0.55229 0.51579 0.48225 0.40960 0.35013 5 0.95147 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.64993 0.62092 0.56743 0.51937 0,47611 0.43711 0.40188 0.32768 0.26933 6 0.94205 0.88797 0.83748 0.79031 0.74622 0.70496 0.66634 0.63017 0.59627 0.56447 0.50663 0.45559 0.41044 0.37043 0.33490 0.26214 0.20718 7 0.93272 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 0.23257 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 0.41727 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 0.395730.33051 0.27651 0.23171 0.194490.16351 0.11611 0.08295 0.0596 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 000526 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 000311 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 0.00038Explanation / Answer
Answer 2
Total of PVIF @ 10% for 5 years = 3.79078
Initial Investment = 560,000
Required annual Cash Inflow = 560,000 / 3.79078 = 147,727
Cash Inflows Present Value of Cash Inflows Year PVIF @10% Puro Equipment Briggs Equipment Puro Equipment Briggs Equipment 1 0.90909 3,20,000 1,20,000 2,90,909 1,09,091 2 0.82645 2,80,000 1,20,000 2,31,406 99,174 3 0.75131 2,40,000 3,20,000 1,80,314 2,40,419 4 0.68301 1,60,000 4,00,000 1,09,282 2,73,204 5 0.62092 1,20,000 4,40,000 74,510 2,73,205 3.79078 Total 8,86,421 9,95,093 Initial Investment 5,60,000 5,60,000 Net Present Value 3,26,421 4,35,093Related Questions
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