Question
CK22 Ltd operates in a competitive business. Demand is steadily expanding, and new plants are constantly being opened. Expected cash flows from an investment in
CK22 Ltd operates in a competitive business. Demand is steadily expanding, and new plants are constantly being opened. Expected cash flows from an investment in a new plant as follows:
year | 0 | 1 | 2 | 3 |
1. initial investment | 120 | |||
2. Revenue | 110 | 110 | 110 | |
3.Cash operating costs | 50 | 50 | 50 | |
4. Tax depreciation | 40 | 40 | 40 | |
5. income depreciation | 20 | 20 | 20 | |
6. Tax at 40% | 80 | 80 | 80 | |
7. Net income | 12 | 12 | 12 | |
8.After tax salvage | 18 | |||
9.cash flow | 120 | 52 | 52 | 70 |
NPV at 20% | 0 |
Suppose that the government now changes tax depreciation to allow a 100% write-off in year 1. Existing plants must continue using the original tax depreciation schedule. Assumptions:
Tax depreciation is straight-line over three years. Pretax salvage value is 30 in year 3 and 60 if the asset is scrapped in year 2. Tax on salvage value is 40% of the difference between salvage value and depreciated investment. The cost of capital is 20% p.a compounded annually.
A. What is the value of existing one-year and two-year old plants? B. Would it make sense to scrap existing plants when they are two rather than three years old?
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