Phil Emley owns a garage and is contemplating purchasing a tire retreading machine for $18,000. After estimating costs and revenues, Phil projects a net cash flow from the retreading machine of $3,300 annually for 8 years. Phil hopes to earn a return of 10 % on such investments. Click here to view the factor table.

TABLE 1 Future Value of 1

(n)

Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 15%

0 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000

1 1.04000 1.05000 1.06000 1.07000 1.08000 1.09000 1.10000 1.11000 1.12000 1.15000

2 1.08160 1.10250 1.12360 1.14490 1.16640 1.18810 1.21000 1.23210 1.25440 1.32250

3 1.12486 1.15763 1.19102 1.22504 1.25971 1.29503 1.33100 1.36763 1.40493 1.52088

4 1.16986 1.21551 1.26248 1.31080 1.36049 1.41158 1.46410 1.51807 1.57352 1.74901

5 1.21665 1.27628 1.33823 1.40255 1.46933 1.53862 1.61051 1.68506 1.76234 2.01136

6 1.26532 1.34010 1.41852 1.50073 1.58687 1.67710 1.77156 1.87041 1.97382 2.31306

7 1.31593 1.40710 1.50363 1.60578 1.71382 1.82804 1.94872 2.07616 2.21068 2.66002

8 1.36857 1.47746 1.59385 1.71819 1.85093 1.99256 2.14359 2.30454 2.47596 3.05902

9 1.42331 1.55133 1.68948 1.83846 1.99900 2.17189 2.35795 2.55803 2.77308 3.51788

10 1.48024 1.62889 1.79085 1.96715 2.15892 2.36736 2.59374 2.83942 3.10585 4.04556

11 1.53945 1.71034 1.89830 2.10485 2.33164 2.58043 2.85312 3.15176 3.47855 4.65239

12 1.60103 1.79586 2.01220 2.25219 2.51817 2.81267 3.13843 3.49845 3.89598 5.35025

13 1.66507 1.88565 2.13293 2.40985 2.71962 3.06581 3.45227 3.88328 4.36349 6.15279

14 1.73168 1.97993 2.26090 2.57853 2.93719 3.34173 3.79750 4.31044 4.88711 7.07571

15 1.80094 2.07893 2.39656 2.75903 3.17217 3.64248 4.17725 4.78459 5.47357 8.13706

16 1.87298 2.18287 2.54035 2.95216 3.42594 3.97031 4.59497 5.31089 6.13039 9.35762

17 1.94790 2.29202 2.69277 3.15882 3.70002 4.32763 5.05447 5.89509 6.86604 10.76126

18 2.02582 2.40662 2.85434 3.37993 3.99602 4.71712 5.55992 6.54355 7.68997 12.37545

19 2.10685 2.52695 3.02560 3.61653 4.31570 5.14166 6.11591 7.26334 8.61276 14.23177

20 2.19112 2.65330 3.20714 3.86968 4.66096 5.60441 6.72750 8.06231 9.64629 16.36654

TABLE 2 Future Value of an Annuity of 1

(n)

Periods 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

TABLE 3 Present Value of 1

(n)

Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 15%

1 .96154 .95238 .94340 0.93458 .92593 .91743 .90909 .90090 .89286 .86957

2 .92456 .90703 .89000 0.87344 .85734 .84168 .82645 .81162 .79719 .75614

3 .88900 .86384 .83962 0.81630 .79383 .77218 .75132 .73119 .71178 .65752

4 .85480 .82270 .79209 0.76290 .73503 .70843 .68301 .65873 .63552 .57175

5 .82193 .78353 .74726 0.71299 .68058 .64993 .62092 .59345 .56743 .49718

6 .79031 .74622 .70496 0.66634 .63017 .59627 .56447 .53464 .50663 .43233

7 .75992 .71068 .66506 0.62275 .58349 .54703 .51316 .48166 .45235 .37594

8 .73069 .67684 .62741 0.58201 .54027 .50187 .46651 .43393 .40388 .32690

9 .70259 .64461 .59190 0.54393 .50025 .46043 .42410 .39092 .36061 .28426

10 .67556 .61391 .55839 0.50835 .46319 .42241 .38554 .35218 .32197 .24719

11 .64958 .58468 .52679 0.47509 .42888 .38753 .35049 .31728 .28748 .21494

12 .62460 .55684 .49697 0.44401 .39711 .35554 .31863 .28584 .25668 .18691

13 .60057 .53032 .46884 0.41496 .36770 .32618 .28966 .25751 .22917 .16253

14 .57748 .50507 .44230 0.38782 .34046 .29925 .26333 .23199 .20462 .14133

15 .55526 .48102 .41727 0.36245 .31524 .27454 .23939 .20900 .18270 .12289

16 .53391 .45811 .39365 0.33873 .29189 .25187 .21763 .18829 .16312 .10687

17 .51337 .43630 .37136 0.31657 .27027 .23107 .19785 .16963 .14564 .09293

18 .49363 .41552 .35034 0.29586 .25025 .21199 .17986 .15282 .13004 .08081

19 .47464 .39573 .33051 0.27615 .23171 .19449 .16351 .13768 .11611 .07027

20 .45639 .37689 .31180 0.25842 .21455 .17843 .14864 .12403 .10367 .06110

TABLE 4 Present Value of an Annuity of 1

(n)

Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 15%

1 .96154 .95238 .94340 0.93458 .92593 .91743 .90909 .90090 .89286 .86957

2 1.88609 1.85941 1.83339 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.62571

3 2.77509 2.72325 2.67301 2.62432 2.57710 2.53130 2.48685 2.44371 2.40183 2.28323

4 3.62990 3.54595 3.46511 3.38721 3.31213 3.23972 3.16986 3.10245 3.03735 2.85498

5 4.45182 4.32948 4.21236 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 3.35216

6 5.24214 5.07569 4.91732 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.78448

7 6.00205 5.78637 5.58238 5.38989 5.20637 5.03295 4.86842 4.71220 4.56376 4.16042

8 6.73274 6.46321 6.20979 5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 4.48732

9 7.43533 7.10782 6.80169 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 4.77158

10 8.11090 7.72173 7.36009 7.02358 6.71008 6.41766 6.14457 5.88923 5.65022 5.01877

11 8.76048 8.30641 7.88687 7.49867 7.13896 6.80519 6.49506 6.20652 5.93770 5.23371

12 9.38507 8.86325 8.38384 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.42062

13 9.98565 9.39357 8.85268 8.35765 7.90378 7.48690 7.10336 6.74987 6.42355 5.58315

14 10.56312 9.89864 9.29498 8.74547 8.24424 7.78615 7.36669 6.98187 6.62817 5.72448

15 11.11839 10.37966 9.71225 9.10791 8.55948 8.06069 7.60608 7.19087 6.81086 5.84737

16 11.65230 10.83777 10.10590 9.44665 8.85137 8.31256 7.82371 7.37916 6.97399 5.95424

17 12.16567 11.27407 10.47726 9.76322 9.12164 8.54363 8.02155 7.54879 7.11963 6.04716

18 12.65930 11.68959 10.82760 10.05909 9.37189 8.75563 8.20141 7.70162 7.24967 6.12797

19 13.13394 12.08532 11.15812 10.33560 9.60360 8.95012 8.36492 7.83929 7.36578 6.19823

20 13.59033 12.46221 11.46992 10.59401 9.81815 9.12855 8.51356 7.96333 7.46944 6.25933

(For calculation purposes, use 5 decimal places as displayed in the factor table provided.) What is the present value of the retreading operation? (Round answer to 2 decimal places, e.g. 25.25.)

Present value $

Should Phil purchase the retreading machine? YesNo