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Hillsong Inc. manufactures snowsuits. Hillsong is considering purchasing a new sewing machine at a cost of...

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%

Calculate net present value

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Ans:

Calculation of Net present value
Amount in $
Year Particulars Cash Flow PV Factor at 9% rate Present Value
0 Cost of purchase of new machine    (2,450,000)                                  1.0000                    (2,450,000)
0 Training cost for new machine purchase          (85,000)                                  1.0000                          (85,000)
0 Realization on sale of old machine          240,845                                  1.0000                          240,845
1 Decrease in operating cost          391,000                                  0.9174                          358,703
2 Decrease in operating cost          399,100                                  0.8417                          335,922
3 Decrease in operating cost          411,000                                  0.7722                          317,374
4 Decrease in operating cost          426,000                                  0.7084                          301,778
5 Decrease in operating cost          433,200                                  0.6499                          281,537
5 Maintenance costs end of 5th year          (94,900)                                  0.5963                          (56,589)
6 Decrease in operating cost          435,300                                  0.5963                          259,569
7 Decrease in operating cost          436,500                                  0.5470                          238,766
7 Salvage value          379,800                                  0.5470                          207,764
Net Present Value                          (49,330)
Note:-1. Assuming decrease in operating cost is net decrease in cash outflow, means depreciation effect has already been given.
Note:-2. As maintenance cost is to be incurred at the end of year 5 therefore PV factor of year 6 will be considered.
PV Factor = 1/(1+r)^n
Where
r = cost of capital
n = no. of periods

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