Present value of annunity (n) Periods 2% 2.5% 3% 4% 5%...

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Present value of annunity

(n) Periods 2% 2.5% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15%
1 0.98039 0.97561 0.97087 0.96154 0.95238 0.94340 0.92593 0.91743 0.90909 0.90090 0.89286 0.86957
2 1.94156 1.92742 1.91347 1.88609 1.85941 1.83339 1.78326 1.75911 1.73554 1.71252 1.69005 1.62571
3 2.88388 2.85602 2.82861 2.77509 2.72325 2.67301 2.57710 2.53129 2.48685 2.44371 2.40183 2.28323
4 3.80773 3.76197 3.71710 3.62990 3.54595 3.46511 3.31213 3.23972 3.16986 3.10245 3.03735 2.85498
5 4.71346 4.64583 4.57971 4.45182 4.32948 4.21236 3.99271 3.88965 3.79079 3.69590 3.60478 3.35216
6 5.60143 5.50813 5.41719 5.24214 5.07569 4.91732 4.62288 4.48592 4.35526 4.23054 4.11141 3.78448
7 6.47199 6.34939 6.23028 6.00205 5.78637 5.58238 5.20637 5.03295 4.86842 4.71220 4.56376 4.16042
8 7.32548 7.17014 7.01969 6.73274 6.46321 6.20979 5.74664 5.53482 5.33493 5.14612 4.96764 4.48732
9 8.16224 7.97087 7.78611 7.43533 7.10782 6.80169 6.24689 5.99525 5.75902 5.53705 5.32825 4.77158
10 8.98259 8.75206 8.53020 8.11090 7.72173 7.36009 6.71008 6.41766 6.14457 5.88923 5.65022 5.01877
11 9.78685 9.51421 9.25262 8.76048 8.30641 7.88687 7.13896 6.80519 6.49506 6.20652 5.93770 5.23371
12 10.57534 10.25776 9.95400 9.38507 8.86325 8.38384 7.53608 7.16073 6.81369 6.49236 6.19437 5.42062
13 11.34837 10.98319 10.63496 9.98565 9.39357 8.85268 7.90378 7.48690 7.10336 6.74987 6.42355 5.58315
14 12.10625 11.69091 11.29607 10.56312 9.89864 9.29498 8.24424 7.78615 7.36669 6.98187 6.62817 5.72448
15 12.84926 12.38138 11.93794 11.11839 10.37966 9.71225 8.55948 8.06069 7.60608 7.19087 6.81086 5.84737
16 13.57771 13.05500 12.56110 11.65230 10.83777 10.10590 8.85137 8.31256 7.82371 7.37916 6.97399 5.95423
17 14.29187 13.71220 13.16612 12.16567 11.27407 10.47726 9.12164 8.54363 8.02155 7.54879 7.11963 6.04716
18 14.99203 14.35336 13.75351 12.65930 11.68959 10.82760 9.37189 8.75563 8.20141 7.70162 7.24967 6.12797
19 15.67846 14.97889 14.32380 13.13394 12.08532 11.15812 9.60360 8.95012 8.36492 7.83929 7.36578 6.19823

(Present Value of a Single Sum)

(n) Periods 2% 2.5% 3% 4% 5% 6% 8% 9% 10% 11% 12% 15%
1 0.98039 0.97561 0.97087 0.96154 0.95238 0.94340 0.92593 0.91743 0.90909 0.90090 0.89286 0.86957
2 0.96117 0.95181 0.94260 0.92456 0.90703 0.89000 0.85734 0.84168 0.82645 0.81162 0.79719 0.75614
3 0.94232 0.92860 0.91514 0.88900 0.86384 0.83962 0.79383 0.77218 0.75132 0.73119 0.71178 0.65752
4 0.92385 0.90595 0.88849 0.85480 0.82270 0.79209 0.73503 0.70843 0.68301 0.65873 0.63552 0.57175
5 0.90573 0.88385 0.86261 0.82193 0.78353 0.74726 0.68058 0.64993 0.62092 0.59345 0.56743 0.49719
6 0.88797 0.86230 0.83748 0.79031 0.74622 0.70496 0.63017 0.59627 0.56447 0.53464 0.50663 0.43233
7 0.87056 0.84127 0.81309 0.75992 0.71068 0.66506 0.58349 0.54703 0.51316 0.48166 0.45235 0.37594
8 0.85349 0.82075 0.78941 0.73069 0.67684 0.62741 0.54027 0.50187 0.46651 0.43393 0.40388 0.32690
9 0.83676 0.80073 0.76642 0.70259 0.64461 0.59190 0.50025 0.46043 0.42410 0.39092 0.36061 0.28426
10 0.82035 0.78120 0.74409 0.67556 0.61391 0.55839 0.46319 0.42241 0.38554 0.35218 0.32197 0.24718
11 0.80426 0.76214 0.72242 0.64958 0.58468 0.52679 0.42888 0.38753 0.35049 0.31728 0.28748 0.21494
12 0.78849 0.74356 0.70138 0.62460 0.55684 0.49697 0.39711 0.35554 0.31863 0.28584 0.25668 0.18691
13 0.77303 0.72542 0.68095 0.60057 0.53032 0.46884 0.36770 0.32618 0.28966 0.25751 0.22917 0.16253
14 0.75788 0.70773 0.66112 0.57748 0.50507 0.44230 0.34046 0.29925 0.26333 0.23199 0.20462 0.14133

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Metlock Auto Care is considering the purchase of a new tow truck. The garage currently has no tow truck, and the $60,010 price tag for a new truck would be a major expenditure for it. Barbara Brown, owner of the garage, has compiled the following estimates in trying to determine whether she should purchase the tow truck: Barbara's good friend, Michael Davis, stopped by. He is trying to convince Barbara that the tow truck will have other benefits that Barbara has not even considered. First, he says, cars that need towing need to be fixed. Thus, when Barbara tows them to her facility, her repair revenues will increase. Second, he notes that the tow truck could have a plow mounted on it, thus saving Barbara the cost of plowing her parking lot. (Michael will give her a used plow blade for free if Barbara will plow Michael's driveway.) Third, he notes that the truck will generate goodwill; that is, people who are rescued by Barbara and her tow truck will feel grateful and might be more inclined to use her service station in the future or buy gas there. Fourth, the tow truck will have "Metlock Auto Care" on its doors, hood, and back tailgate-a form of free advertising wherever the tow truck goes. Michael estimates that, at a minimum, these benefits would be worth the following: Click here to view the factor table. (a) Calculate the net present value, ignoring the additional benefits described by Michael. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124 and final answer to 0 decimal places, e.g. 5,275.)

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