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Key Lime Pie Co expects EBIT of $300,000 every year forever

Finance Dec 02, 2020

Key Lime Pie Co expects EBIT of $300,000 every year forever. Key Lime Pie Co. currently has no debt and its cost of equity is 20%. The firm can borrow at 6%. The corporate tax rate is 33%. What is the value of the firm? Enter your answer rounded to two decimal places. 1005000 Correct response: 1,005,000+0.01 Click "Verify" to proceed to the next part of the question. Given that the firm has a value of $1,005,000 when it is all equity, what will be the value of the firm if Key Lime Pie Co. borrows $220,000 of permanent debt and uses the proceeds to buy back stock? Enter your answer rounded to two decimal places. 1077600 Correct response: 1,077,600+0.01 Click "Verify" to proceed to the next part of the question. Given that the firm has a value of $1,005,000 when it is all equity, how can Key Lime Pie Co. maximize the value of the firm? What will be the maximum value if there are no costs to financial distress? Enter your answer rounded to two decimal places. 1336650 Correct response: 1,500,000+0.02 Click "Verify" to proceed to the next part of the question. Suppose that with $220,000 of debt, there is a 11% probability of financial distress, in which case the firm will have a present value of $300,000. What is the value of the firm in this case? Recall that the value of the firm with $220,000 debt and no costs to financial distress was $1,077,600. Enter your answer rounded to two decimal places. Number Click "Verify" to proceed Section Attempt 1 of 1 Verify

Expert Solution

1. If there is no cost to financial distress, the company can borrow entire amount of $1,005,000.

Value of levered firm = Value of unlevered firm + Value of levered firm * tax rate

Value of levered firm = $1,005,000 + Value of levered firm * 33%

Value of levered firm - Value of levered firm * 33% = $1,005,000

Value of levered firm (1 - 0.33) = $1,005,000

Value of levered firm = $1,005,000 / 0.67 = $1,500,000

2. Probability of financial distress = 11%

Value of firm in case of financial distress = $300,000

Probability of no financial distress = 1 - 11% = 89%

Value of firm in case of no financial distress = $1,077,600

Value of firm = 11% * $300,000 + 87% * $1,077,600

= $33,000 + $959,064

= $992,064

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