In: Finance
Q1. Florida Enterprises, Inc. is considering a new project whose data are shown below. The equipment that will be used has a 3-year class life and will be depreciated by the MACRS depreciation system. Revenues and Cash operating costs are expected to be constant over the project's 10-year life. What is the Year 1 after-tax net operating cash flow?
Equipment cost (depreciable basis) |
$75,000 |
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Sales revenues, each year |
$70,000 |
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Cash operating costs |
$29,000 |
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Tax rate |
20.0% |
Q2. Thomson Media is considering investing in some new equipment whose data are shown below. The equipment has a 3-year class life and will be depreciated by the MACRS depreciation system, and it will have a positive pre-tax salvage value at the end of Year 3, when the project will be closed down. Also, some new working capital will be required, but it will be recovered at the end of the project's life. Revenues and cash operating costs are expected to be constant over the project's 3-year life. What is the project's NPV?
WACC |
14.0% |
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Net investment in fixed assets (depreciable basis) |
$60,000 |
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Required new working capital |
$10,000 |
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Sales revenues, each year |
$75,000 |
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Operating costs excl. depr'n, each year |
$30,000 |
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Expected pretax salvage value |
$7,000 |
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Tax rate |
35.0% |
1
Time line | 1 | ||
Sales | 70000 | ||
Profits | Sales-variable cost | 70000 | |
Operating cost | -29000 | ||
-Depreciation | Cost of equipment/no. of years | -7500 | |
=Pretax cash flows | 33500 | ||
-taxes | =(Pretax cash flows)*(1-tax) | 26800 | |
+Depreciation | 7500 | ||
=after tax operating cash flow | 34300 |
2
Time line | 0 | 1 | 2 | 3 | |||
Cost of new machine | -60000 | ||||||
Initial working capital | -10000 | ||||||
=Initial Investment outlay | -70000 | ||||||
3 years MACR rate | 33.33% | 44.45% | 14.81% | 7.41% | |||
Sales | 75000 | 75000 | 75000 | ||||
Profits | Sales-variable cost | 75000 | 75000 | 75000 | |||
Operating cost | -30000 | -30000 | -30000 | ||||
-Depreciation | =Cost of machine*MACR% | -19998 | -26670 | -8886 | 4446 | =Salvage Value | |
=Pretax cash flows | 25002 | 18330 | 36114 | ||||
-taxes | =(Pretax cash flows)*(1-tax) | 16251.3 | 11914.5 | 23474.1 | |||
+Depreciation | 19998 | 26670 | 8886 | ||||
=after tax operating cash flow | 36249.3 | 38584.5 | 32360.1 | ||||
reversal of working capital | 10000 | ||||||
+Proceeds from sale of equipment after tax | =selling price* ( 1 -tax rate) | 4550 | |||||
+Tax shield on salvage book value | =Salvage value * tax rate | 1556.1 | |||||
=Terminal year after tax cash flows | 16106.1 | ||||||
Total Cash flow for the period | -70000 | 36249.3 | 38584.5 | 48466.2 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.14 | 1.2996 | 1.481544 | ||
Discounted CF= | Cashflow/discount factor | -70000 | 31797.63158 | 29689.5199 | 32713.3045 | ||
NPV= | Sum of discounted CF= | 24200.46 |