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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 are as follows:

Year

0

1

2

3

1.Initial Investment

120

2.Revenues

110

110

110

3. Cash Operating Costs

50

50

50

4. Tax Depreciation

40

40

40

5. Income Pretax

20

20

20

6. Tax at 40%

8

8

8

7. Net Income

12

12

12

8. After tax salvage

18

9. Cash Flow

120

52

52

70

NPV at 20%

$0.00

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.
  • Pre-tax 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.
  1. What is the value of existing one-year and two-year old plants?
  2. Would it make sense to scrap existing plants when they are two rather than three years old?

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