Question
Hillsong Inc. manufactures snowsuits. Hillsong is considering purchasing a new sewing machine at a cost of $2.45 million. Its existing machine was purchased five years
Hillsong Inc. manufactures snowsuits. Hillsong is considering purchasing a new sewing machine at a cost of $2.45 million. Its existing machine was purchased five years ago at a price of $1.8 million; six months ago, Hillsong spent $55,000 to keep it operational. The existing sewing machine can be sold today for $241,533. The new sewing machine would require a one-time, $85,000 training cost. Operating costs would decrease by the following amounts for years 1 to 7:
Year | 1 | $389,600 | ||
---|---|---|---|---|
2 | 399,600 | |||
3 | 410,800 | |||
4 | 426,000 | |||
5 | 433,300 | |||
6 | 434,600 | |||
7 | 436,700 |
The new sewing machine would be depreciated according to the declining-balance method at a rate of 20%. The salvage value is expected to be $379,000. This new equipment would require maintenance costs of $95,500 at the end of the fifth year. The cost of capital is 9%. Click here to view the factor table. Use the net present value method to determine the following: (If net present value is negative then enter with negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answer to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Calculate the net present value.
Net present value | $enter the net present value in dollars rounded to 0 decimal places |
Determine whether Hillsong should purchase the new machine to replace the existing machine?
select an option Yes or No |
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)
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
_______________________________________________________________________________
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)
Payments 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 5.38929 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 8.2 0141 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
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