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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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