(2): Let us first make a depreciation schedule. The annual depreciation rate = 100%/5 years * 2 = 40% per year
Year | Opening balance | Depreciation (40%) | Closing balance |
1 | 60,000 | 24,000 | 36,000 |
2 | 36,000 | 14,400 | 21,600 |
3 | 21,600 | 8,640 | 12,960 |
4 | 12,960 | 5,184 | 7,776 |
5 | 7,776 | 1,776 | 6,000 |
Now let us compute the after tax cash flows and operating cash flow:
YEAR | |||||
1 | 2 | 3 | 4 | 5 | |
Revenue | 30,000.00 | 40,000.00 | 50,000.00 | 40,000.00 | 30,000.00 |
Expenses | 20,000.00 | 22,000.00 | 25,000.00 | 20,000.00 | 20,000.00 |
Depreciation | 24,000.00 | 14,400.00 | 8,640.00 | 5,184.00 | 1,776.00 |
EBIT | - 14,000.00 | 3,600.00 | 16,360.00 | 14,816.00 | 8,224.00 |
Tax (tax shield) 30% | 4,200.00 | - 1,080.00 | - 4,908.00 | - 4,444.80 | - 2,467.20 |
Net income | - 9,800.00 | 2,520.00 | 11,452.00 | 10,371.20 | 5,756.80 |
EBIT | - 14,000.00 | 3,600.00 | 16,360.00 | 14,816.00 | 8,224.00 |
Depreciation | 24,000.00 | 14,400.00 | 8,640.00 | 5,184.00 | 1,776.00 |
Tax (tax shield) 30% | 4,200.00 | - 1,080.00 | - 4,908.00 | - 4,444.80 | - 2,467.20 |
Operating cash flow | 14,200.00 | 16,920.00 | 20,092.00 | 15,555.20 | 7,532.80 |
Next we compute total cash flow:
YEAR | ||||||
0 | 1 | 2 | 3 | 4 | 5 | |
Operating cash flow | 14,200.00 | 16,920.00 | 20,092.00 | 15,555.20 | 7,532.80 | |
Capital spending | - 60,000.00 | 6,000.00 | ||||
Total cash flow | - 60,000.00 | 14,200.00 | 16,920.00 | 20,092.00 | 15,555.20 | 13,532.80 |
Thus after tax payback:
Year | Cash flow | Cumulative cash flow |
0 | - 60,000.00 | - 60,000.00 |
1 | 14,200.00 | - 45,800.00 |
2 | 16,920.00 | - 28,880.00 |
3 | 20,092.00 | - 8,788.00 |
4 | 15,555.20 | 6,767.20 |
5 | 13,532.80 |
Thus after tax payback = 3 + (8788/15555.20) = 3.56 years
(3): NPV:
Year | Cash flow | 1+r | PVIF | PV |
0 | - 60,000.00 | 1.11 | 1.0000 | - 60,000.00 |
1 | 14,200.00 | 0.9009 | 12,792.79 | |
2 | 16,920.00 | 0.8116 | 13,732.65 | |
3 | 20,092.00 | 0.7312 | 14,691.10 | |
4 | 15,555.20 | 0.6587 | 10,246.69 | |
5 | 13,532.80 | 0.5935 | 8,031.06 | |
NPV | - 505.71 |
NPV = - $ 505.71
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