The Hub Store at a university in eastern Canada is considering purchasing a self-serve checkout machine similar to those used in many grocery stores and other retail outlets. Currently, the university pays part-time wages to students totaling $59,000 per year. A self-serve checkout machine would reduce part-time student wages by $39,000 per year. The machine would cost $320,000 and has a 10-year useful life. Total costs of operating the checkout machine would be $5,800 per year, including maintenance. Major maintenance would be needed on the machine in five years at a total cost of $10,800. The salvage value of the checkout machine in 10 years would be $44,000. |
The CCA rate is 25%. Management requires a 10% after-tax return on all equipment purchases. The company’s tax rate is 30%. |
A / 1 | B | C | D | E | F | G | H | I | J | K | L |
2 | 1) Before tax net annual cost savings | ||||||||||
3 | Savings by purchasing the machine per annum | $39,000 | |||||||||
4 | Less: Costs | ||||||||||
5 | Operating costs | $5,800 | |||||||||
6 | Depreciation | $27,600 | |||||||||
7 | Total cost | $320,000 | |||||||||
8 | Less:salvage value | $44,000 | |||||||||
9 | Asset value to be depreciation in 10 years | $276,000 | |||||||||
10 | major maintenace cost per annum | $2,160 | |||||||||
11 | Major maintenance for 5 years | $10,800 | |||||||||
12 | for total 10 years | $21,600 | |||||||||
13 | Total cost | $35,560 | =SUM(D5:D11) | ||||||||
14 | Savings per annum before tax | $3,440 | =E3-D13 | ||||||||
15 | |||||||||||
16 | 2) Net present value of new machine | ||||||||||
17 | Year | Investment | Savings | maintenance | Major Maintenance | Depreciation.CCA-25% | Salvage value | Net Income | Tax@30% | Net Cashflow | PV @10% |
18 | 0 | $320,000 | $0 | $0 | $0 | $0 | $0 | $0 | $0 | -$320,000 | -$320,000 |
19 | 1 | $0 | $39,000 | $5,800 | $0 | $80,000 | $0 | -$46,800 | -$14,040 | $47,240 | $42,945 |
20 | 2 | $0 | $39,000 | $5,800 | $0 | $60,000 | $0 | -$26,800 | -$8,040 | $41,240 | $34,083 |
21 | 3 | $0 | $39,000 | $5,800 | $0 | $45,000 | $0 | -$11,800 | -$3,540 | $36,740 | $27,603 |
22 | 4 | $0 | $39,000 | $5,800 | $0 | $33,750 | $0 | -$550 | -$165 | $33,365 | $22,789 |
23 | 5 | $0 | $39,000 | $5,800 | $10,800 | $25,313 | $0 | -$2,913 | -$874 | $23,274 | $14,451 |
24 | 6 | $0 | $39,000 | $5,800 | $0 | $18,984 | $0 | $14,216 | $4,265 | $28,935 | $16,333 |
25 | 7 | $0 | $39,000 | $5,800 | $0 | $14,238 | $0 | $18,962 | $5,689 | $27,511 | $14,118 |
26 | 8 | $0 | $39,000 | $5,800 | $0 | $10,679 | $0 | $22,521 | $6,756 | $26,444 | $12,336 |
27 | 9 | $0 | $39,000 | $5,800 | $0 | $8,009 | $0 | $25,191 | $7,557 | $25,643 | $10,875 |
28 | 10 | $0 | $39,000 | $5,800 | $10,800 | $6,007 | $44,000 | $16,393 | $4,918 | $61,482 | $23,704 |
29 | |||||||||||
30 | 2 a)NPV | -$100,763 | |||||||||
31 | Year | Machine | Depreciation.CCA-25% | ||||||||
32 | 0 | $320,000 | |||||||||
33 | 1 | $320,000 | $80,000 | ||||||||
34 | 2 | $240,000 | $60,000 | ||||||||
35 | 3 | $180,000 | $45,000 | ||||||||
36 | 4 | $135,000 | $33,750 | ||||||||
37 | 5 | $101,250 | $25,313 | ||||||||
38 | 6 | $75,938 | $18,984 | ||||||||
39 | 7 | $56,953 | $14,238 | ||||||||
40 | 8 | $42,715 | $10,679 | ||||||||
41 | 9 | $32,036 | $8,009 | ||||||||
42 | 10 | $24,027 | $6,007 | ||||||||
43 | |||||||||||
44 | 2 b) NPV is negative and hence the new machine should not be bought |
The Hub Store at a university in eastern Canada is considering purchasing a self-serve checkout machine similar to those used in many grocery stores and other retail outlets.