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
$242,828. 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 | $389,400 | ||
---|---|---|---|---|
2 | 399,000 | |||
3 | 410,800 | |||
4 | 425,200 | |||
5 | 433,400 | |||
6 | 434,500 | |||
7 | 437,600 |
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 $379,600. This new equipment would require
maintenance costs of $95,600 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 | $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 YesNo |
1.
Computation of NPV - Replacement proposal of Sewing Machine - Hillsong Inc. | ||||
Particulars | Period | Amount | PV Factor (9%) | Present Value |
Cash Outflows: | ||||
Cost of new sewing machine | 0 | $24,50,000 | 1 | $24,50,000 |
Training cost | 0 | $85,000 | 1 | $85,000 |
Sale value of current machine | 0 | -$2,42,828 | 1 | -$2,42,828 |
Maintenance cost | 5 | $95,600 | 0.64993 | $62,133 |
Present value of cash outflows (A) | $23,54,305 | |||
Cash Inflows: | ||||
Annual cost savings: | ||||
Year 1 | 1 | $3,89,400 | 0.91743 | $3,57,247 |
Year 2 | 2 | $3,99,000 | 0.84168 | $3,35,830 |
Year 3 | 3 | $4,10,800 | 0.77218 | $3,17,212 |
Year 4 | 4 | $4,25,200 | 0.70843 | $3,01,224 |
Year 5 | 5 | $4,33,400 | 0.64993 | $2,81,680 |
Year 6 | 6 | $4,34,500 | 0.59627 | $2,59,079 |
Year 7 | 7 | $4,37,600 | 0.54703 | $2,39,380 |
Salvage value of new machine | 7 | $3,79,600 | 0.54703 | $2,07,653 |
Present value of cash Inflows (B) | $22,99,305 | |||
NPV (B-A) | -$55,000 |
2.
No.
As NPV is negative, hillsong should not purchase the new machine to replace existing machine.
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