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Mark Googal owns a garage and is contemplating purchasing a tire retreading machine for $16,500. After estimating costs and revenues, Mark projects a net cash
Mark Googal owns a garage and is contemplating purchasing a tire retreading machine for $16,500. After estimating costs and revenues, Mark projects a net cash inflow from the retreading machine of $3,630 annually for 10 years. Mark hopes to earn a return of 11% on such investments. What is the present value of the retreading operation? Should Mark Googal purchase the retreading machine? (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) (Round answer to 2 decimal places, e.g. 15.25.) Click here to view the factor table. (a) The present value of the retreading operation is (b) Mark Googal should not purchase the retreading machine. TABLE 1 Future Value of 1 4% 15% (n) Periods 0 1 2 3 4 5 1.00000 1.04000 1.08160 1.12486 1.16986 1.21665 6 7 8 9 10 5% 1.00000 1.05000 1.10250 1.15763 1.21551 1.27628 1.34010 1.40710 1.47746 1.55133 1.62889 1.71034 1.79586 1.88565 1.97993 2.07893 2.18287 2.29202 2.40662 2.52695 2.65330 1.26532 1.31593 1.36857 1.42331 1.48024 1.53945 1.60103 1.66507 1.73168 1.80094 1.87298 1.94790 2.02582 2.10685 2.19112 6% 7% 1.00000 1.00000 1.06000 1.07000 1.12360 1.14490 1.19102 1.22504 1.26248 1.31080 1.33823 1.40255 1.41852 1.50073 1.50363 1.60578 1.59385 1.71819 1.68948 1.83846 1.79085 1.96715 1.89830 2.10485 2.01220 2.25219 2.13293 2.40985 2.26090 2.57853 2.39656 2.75903 2.54035 2.95216 2.69277 3.15882 2.85434 3.37993 3.02560 3.61653 3.20714 3.86968 8% 9% 10% 11% 1.00000 1.00000 1.00000 1.00000 1.08000 1.09000 1.10000 1.11000 1.16640 1.18810 1.21000 1.23210 1.25971 1.29503 1.33100 1.36763 1.36049 1.41158 1.46410 1.51807 1.46933 1.53862 1.61051 1.68506 1.58687 1.67710 1.77156 1.87041 1.71382 1.82804 1.94872 2.07616 1.85093 1.99256 2.14359 2.30454 1.99900 2.17189 2.35795 2.55803 2.15892 2.36736 2.59374 2.83942 2.33164 2.58043 2.85312 3.15176 2.51817 2.81267 3.13843 3.49845 2.71962 3.06581 3.45227 3.88328 2.93719 3.34173 3.79750 4.31044 3.17217 3.64248 4.17725 4.78459 3.42594 3.97031 4.59497 5.31089 3.70002 4.32763 5.05447 5.89509 3.99602 4.71712 5.55992 6.54355 4.31570 5.14166 6.11591 7.26334 4.66096 5.60441 6.72750 8.06231 12% 1.00000 1.12000 1.25440 1.40493 1.57352 1.76234 1.97382 2.21068 2.47596 2.77308 3.10585 3.47855 3.89598 4.36349 4.88711 5.47357 6.13039 6.86604 7.68997 8.61276 9.64629 1.00000 1.15000 1.32250 1.52088 1.74901 2.01136 2.31306 2.66002 3.05902 3.51788 4.04556 4.65239 5.35025 6.15279 7.07571 8.13706 9.35762 10.76126 12.37545 14.23177 16.36654 11 12 13 14 15 16 17 18 19 20 TABLE 2 Future Value of an Annuity of 1 (n) Payments 4% 5% 6% 7% 8% 9% 10% 11% 12% 15% 1 1.00000 1.00000 1.00000 1.0000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 2 2.04000 2.05000 2.06000 2.0700 2.08000 2.09000 2.10000 2.11000 2.12000 2.15000 3 3.12160 3.15250 3.18360 3.2149 3.24640 3.27810 3.31000 3.34210 3.37440 3.47250 4 4.24646 4.31013 4.37462 4.4399 4.50611 4.57313 4.64100 4.70973 4.77933 4.99338 5 5.41632 5.52563 5.63709 5.7507 5.86660 5.98471 6.10510 6.22780 6.35285 6.74238 6 6.63298 6.80191 6.97532 7.1533 7.33592 7.52334 7.71561 7.91286 8.11519 8.75374 7 7.89829 8.14201 8.39384 8.6540 8.92280 9.20044 9.48717 9.78327 10.08901 11.06680 8 9.21423 9.54911 9.89747 10.2598 10.63663 11.02847 11.43589 11.85943 12.29969 13.72682 9 10.58280 11.02656 11.49132 11.9780 12.48756 13.02104 13.57948 14.16397 14.77566 16.78584 10 12.00611 12.57789 13.18079 13.8164 14.48656 15.19293 15.93743 16.72201 17.54874 20.30372 11 13.48635 14.20679 14.97164 15.7836 16.64549 17.56029 18.53117 19.56143 20.65458 24.34928 12 15.02581 15.91713 16.86994 17.8885 18.97713 20.14072 21.38428 22.71319 24.13313 29.00167 13 16.62684 17.71298 18.88214 20.1406 21.49530 22.95339 24.52271 26.21164 28.02911 34.35192 14 18.29191 19.59863 21.01507 22.5505 24.21492 26.01919 27.97498 30.09492 32.39260 40.50471 15 20.02359 21.57856 23.27597 25.1290 27.15211 29.36092 31.77248 34.40536 37.27972 47.58041 16 21.82453 23.65749 25.67253 27.8881 30.32428 33.00340 35.94973 39.18995 42.75328 55.71747 17 23.69751 25.84037 28.21288 30.8402 33.75023 36.97351 40.54470 44.50084 48.88367 65.07509 18 25.64541 28.13238 30.90565 33.9990 37.45024 41.30134 45.59917 50.39593 55.74972 75.83636 19 27.67123 30.53900 33.75999 37.3790 41.44626 46.01846 51.15909 56.93949 63.43968 88.21181 20 29.77808 33.06595 36.78559 40.9955 45.76196 51.16012 57.27500 64.20283 72.05244 102.44358 8% 92593 .85734 .79383 .73503 .68058 TABLE 3 Present Value of 1 (n) Periods 4% 5% .96154 95238 2 92456 .90703 3 .88900 .86384 4 .85480 .82270 5 .82193 .78353 6 .79031 .74622 7 .75992 .71068 8 .73069 .67684 9 .70259 .64461 10 .67556 .61391 11 .64958 .58468 12 .62460 .55684 13 .60057 .53032 14 .57748 -50507 15 55526 .48102 16 .53391 .45811 17 .51337 .43630 18 .49363 .41552 19 .47464 39573 20 .45639 37689 15% .86957 .75614 .65752 .57175 .49718 6% 94340 .89000 .83962 .79209 .74726 .70496 .66506 .62741 .59190 55839 .52679 .49697 .46884 44230 .41727 .39365 37136 35034 33051 31180 7% 0.93458 0.87344 0.81630 0.76290 0.71299 0.66634 0.62275 0.58201 0.54393 0.50835 0.47509 0.44401 0.41496 0.38782 0.36245 0.33873 0.31657 0.29586 0.27615 0.25842 9% .91743 .84168 .77218 .70843 .64993 .59627 .54703 .50187 46043 .42241 38753 35554 .32618 .29925 .27454 .25187 .23107 .21199 .19449 .17843 11% .90090 .81162 .73119 .65873 .59345 .53464 .48166 .43393 .39092 .35218 .63017 .58349 .54027 .50025 .46319 42888 .39711 .36770 34046 31524 .29189 .27027 .25025 .23171 .21455 10% .90909 .82645 .75132 .68301 .62092 .56447 .51316 .46651 .42410 .38554 .35049 31863 .28966 .26333 .23939 .21763 .19785 .17986 .16351 .14864 12% .89286 .79719 .71178 .63552 .56743 .50663 45235 40388 .36061 .32197 .28748 .25668 .22917 .20462 .18270 .16312 .14564 .13004 .11611 .10367 .31728 .28584 .25751 .23199 .20900 .18829 .16963 .15282 .13768 .12403 .43233 .37594 .32690 .28426 .24719 .21494 .18691 .16253 .14133 .12289 .10687 .09293 .08081 .07027 .06110 TABLE 4 Present Value of an Annuity of 1 (n) 8% 9% Payments 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4% .96154 1.88609 2.77509 3.62990 4.45182 5.24214 6.00205 6.73274 7.43533 8.11090 8.76048 9.38507 9.98565 10.56312 11.11839 11.65230 12.16567 12.65930 13.13394 13.59033 5% 6% 7% .95238 .94340 0.93458 1.85941 1.83339 1.80802 2.72325 2.67301 2.62432 3.54595 3.46511 3.38721 4.32948 4.21236 4.10020 5.07569 4.91732 4.76654 5.78637 5.58238 5.38929 6.46321 6.20979 5.97130 7.10782 6.80169 6.51523 7.72173 7.36009 7.02358 8.30641 7.88687 7.49867 8.86325 8.38384 7.94269 9.39357 8.85268 8.35765 9.89864 9.29498 8.74547 10.37966 9.71225 9.10791 10.83777 10.105909.44665 11.27407 10.47726 9.76322 11.68959 10.82760 10.05909 12.08532 11.15812 10.33560 12.46221 11.46992 10.59401 .92593 1.78326 2.57710 3.31213 3.99271 4.62288 5.20637 5.74664 6.24689 6.71008 7.13896 7.53608 7.90378 8.24424 8.55948 8.85137 9.12164 9.37189 9.60360 9.81815 91743 1.75911 2.53130 3.23972 3.88965 4.48592 5.03295 5.53482 5.99525 6.41766 6.80519 7.16073 7.48690 7.78615 8.06069 8.31256 8.54363 8.75563 8.95012 9.12855 10% 90909 1.73554 2.48685 3.16986 3.79079 4.35526 4.86842 5.33493 5.75902 6.14457 6.49506 6.81369 7.10336 7.36669 7.60608 7.82371 8.02155 8.2 0141 8.36492 8.51356 11% 90090 1.71252 2.44371 3.10245 3.69590 4.23054 4.71220 5.14612 5.53705 5.88923 6.20652 6.49236 6.74987 6.98187 7.19087 7.37916 7.54879 7.70162 7.83929 7.96333 12% .89286 1.69005 2.40183 3.03735 3.60478 4.11141 4.56376 4.96764 5.32825 5.65022 5.93770 6.19437 6.42355 6.62817 6.81086 6.97399 7.11963 7.24967 7.36578 7.46944 15% .86957 1.62571 2.28323 2.85498 3.35216 3.78448 4.16042 4.48732 4.77158 5.01877 5.23371 5.42062 5.58315 5.72448 5.84737 5.95424 6.04716 6.12797 6.19823 6.25933 16 17 18 19 20
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