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Suppose a C corporation has a tax loss of $5 million in the current period. The firms after-tax discount rate is 10%. Assume the firm

Suppose a C corporation has a tax loss of $5 million in the current period. The firms after-tax discount rate is 10%. Assume the firm is allowed to carry back losses. Over the preceding 5 years, the firm reported the following taxable income:

Year

-5

-4

-3

-2

-1

Current

Taxable income (loss) in millions

$1.0

$1.0

$1.5

$4.0

$3.0

-$5.0

Statutory tax rate (STR)

40%

40%

35%

35%

30%

30%

  1. If the carryback period is 3 years, what is the firms MTR in the current period?
  2. Suppose the carryback period is 2 years, carryforwards are allowed up to 5 years, taxable income in period -1 was only $500,000, and year T+1 (next year for carryforward) has $1M and a tax rate of 20%. What is the marginal tax rate in the current period?
  3. Suppose the firm is prohibited from carryback losses but is allowed to carryforward losses up to 5 years. Additionally, assume that the tax rate will switch to 20% starting in year T+1 (next year) and continue at that rate for the foreseeable future. What is its marginal tax rate assuming it will earn $1 million in each of the next 5 years?

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