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ABC Inc. needs 150,000 boxes of parts per year over the next four years, and you are deciding on a bid for the contract. The capital equipment will cost $950,000 to install, which will be depreciated straight-line to zero over the life of the project. The equipment can be sold for $250,000 in four years. The equipment will be installed on land the company already owns. The land can be sold for $750,000 after-tax today. The land is expected to net $850,000 after taxes in 4 years. The fixed production costs are $225,000 per year, and the variable costs are $10.0 for each box. An initial investment in net working capital of $65,000 will be required. An additional $5,000 in networking capital will be required in years 1, 2, and 3. All of the networking capital investment will be recovered at the end of the project. The tax rate is 21 percent and you require a return of 15 percent. What bid price per box should you submit?
Tax rate | 21% | ||||||
Calculation of annual depreciation | |||||||
Depreciation | Year-1 | Year-2 | Year-3 | Year-4 | Total | ||
Cost | $ 950,000 | $ 950,000 | $ 950,000 | $ 950,000 | |||
Dep Rate | 25.00% | 25.00% | 25.00% | 25.00% | |||
Depreciation | Cost * Dep rate | $ 237,500 | $ 237,500 | $ 237,500 | $ 237,500 | $ 950,000 | |
Calculation of after-tax salvage value | |||||||
Cost of machine | $ 950,000 | ||||||
Depreciation | $ 950,000 | ||||||
WDV | Cost less accumulated depreciation | $ - | |||||
Sale price | $ 250,000 | ||||||
Profit/(Loss) | Sale price less WDV | $ 250,000 | |||||
Tax | Profit/(Loss)*tax rate | $ 52,500 | |||||
Sale price after-tax | Sale price less tax | $ 197,500 | |||||
Calculation of annual operating cash flow | |||||||
Year-1 | Year-2 | Year-3 | Year-4 | ||||
No of units | 150,000 | 150,000 | 150,000 | 150,000 | |||
Selling price | $ - | $ - | $ - | $ - | |||
Operating ost | $ 10 | $ 10 | $ 10 | $ 10 | |||
Sale | $ - | $ - | $ - | $ - | |||
Less: Operating Cost | $ 1,500,000 | $ 1,500,000 | $ 1,500,000 | $ 1,500,000 | |||
Contribution | $ (1,500,000) | $ (1,500,000) | $ (1,500,000) | $ (1,500,000) | |||
Less: Fixed cost | $ 225,000 | $ 225,000 | $ 225,000 | $ 225,000 | |||
Less: Depreciation | $ 237,500 | $ 237,500 | $ 237,500 | $ 237,500 | |||
Profit before tax (PBT) | $ (1,962,500) | $ (1,962,500) | $ (1,962,500) | $ (1,962,500) | |||
Tax@21% | PBT*Tax rate | $ (412,125) | $ (412,125) | $ (412,125) | $ (412,125) | ||
Profit After Tax (PAT) | PBT - Tax | $ (1,550,375) | $ (1,550,375) | $ (1,550,375) | $ (1,550,375) | ||
Add Depreciation | PAT + Dep | $ 237,500 | $ 237,500 | $ 237,500 | $ 237,500 | ||
Cash Profit after-tax | $ (1,312,875) | $ (1,312,875) | $ (1,312,875) | $ (1,312,875) | |||
Calculation of NPV | |||||||
15.00% | |||||||
Year | Land | Capital | Working capital | Operating cash | Annual Cash flow | PV factor, 1/(1+r)^time | Present values |
0 | $ (750,000) | $ (950,000) | $ (65,000) | $ (1,765,000) | 1.0000 | $ (1,765,000) | |
1 | $ (5,000) | $ (1,312,875) | $ (1,317,875) | 0.8696 | $ (1,145,978) | ||
2 | $ (5,000) | $ (1,312,875) | $ (1,317,875) | 0.7561 | $ (996,503) | ||
3 | $ (5,000) | $ (1,312,875) | $ (1,317,875) | 0.6575 | $ (866,524) | ||
4 | $ 850,000 | $ 197,500 | $ 80,000 | $ (1,312,875) | $ (185,375) | 0.5718 | $ (105,989) |
Net Present Value | $ (4,879,994) | ||||||
PV of revenue | |||||||
Assumed bid price for each | P | ||||||
Annual revenue after tax | 150000*P*(1-21%) | ||||||
Sum of PV factor for Year 1-4 | 2.8550 | ||||||
PV of total revenue | 150000*P*(1-21%)*2.8550 | ||||||
PV of total revenue | 338314.935981504*P | ||||||
338314.935981504*P | $ 4,879,994 | ||||||
Bid price = | $ 14.42 |
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