Exercise 12-3 (Video)
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 $240,845. 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 | $391,000 | ||
2 | 399,100 | |||
3 | 411,000 | |||
4 | 426,000 | |||
5 | 433,200 | |||
6 | 435,300 | |||
7 | 436,500 |
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 $379,800. This new equipment would require
maintenance costs of $94,900 at the end of the fifth year. The cost
of capital is 9%.
Click here to view PV 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 | $ |
Determine whether Hillsong should purchase the new machine to
replace the existing machine?
Investment in new equipment: $2,450,000
Disposal of old equipment: (240,845 )
Additional training required:85,000
Net initial investment required: $ 2294,155
Year |
Discount factor |
Cash flow |
Present value of cash flows |
1 |
391,000 |
0.91743 |
358,715 |
2 |
399,100 |
0.84168 |
335,914 |
3 |
411,000 |
0.77218 |
317,366 |
4 |
426,000 |
0.70843 |
301,791 |
5 |
433,200 |
0.64993 |
281,550 |
6 |
435,300 |
0.59627 |
259,556 |
7 |
436,500 |
0.54703 |
238,779 |
Total |
2093,671 |
Maintenance at end of year 5 = 0.64993 * 94900 = $ 61678
Terminal value = 0.54703 * 379,800 = 207,762
Total present value of inflows = 2093,671 -61,678 + 207,762 = $ 2239,755
Net present value = 2239,755 - 2294,155 = - $ 54,400
Net present value of the new Machine is negative Hence. Hillsong Inc should not purchase the new Machine.
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