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Taxes are a cost, and, therefore, changes in tax rates can affect consumer prices, project lives, and the value of existing firms. The following problem

Taxes are a cost, and, therefore, changes in tax rates can affect consumer prices, project lives, and the value of existing firms. The following problem illustrates this. It also illustrates that tax changes that appear to be good for business do not always increase the value of existing firms. Indeed, unless new investment incentives increase consumer demand, they can work only by rendering existing equipment obsolete.

The manufacture of bucolic acid is 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:

0 1 2 3
1. Initial investment 112
2. Revenues 112.00 112.00 112.00
3. Cash operating costs 62.00 62.00 62.00
4. Tax depreciation 37.33 37.33 37.33
5. Income pretax 12.67 12.67 12.67
6. Tax at 40% 5.07 5.07 5.07
7. Net income 7.60 7.60 7.60
8. After-tax salvage 22.20
9. Cash flow (7 + 8 + 4 1) 112 44.93 44.93 67.13
NPV at 18% = 0

Assumptions:

  1. Tax depreciation is straight-line over three years.
  2. Pretax salvage value is 37 in year 3 and 62 if the asset is scrapped in year 2.
  3. Tax on salvage value is 40% of the difference between salvage value and depreciated investment.
  4. The cost of capital is 18%.

a. What are the values of a one- and two-year-old plant? b. Existing plans must continue using the original tax depreciation schedule. What are the values of a one- and two-year-old plant? c. Calculate the net-of-tax salvage value of a two-year-old plant. d. Assume the corporate income tax was abolished entirely. What are the values of a one- and two-year-old plant?

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