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Toothy Ltd earns a pre tax amount of $8.8 million per year. Their unlevered cost of capital is 8.7%. Toothy also has $62 million in debt. The tax rate is 30.%. a.What is the valuation of Toothy Ltd if it was only funded by equity capital?b.What is the interest tax shield if the debt incurs an interest rate of 9% per annum?

Question

Toothy Ltd earns a pre tax amount of 8.8millionperyear.Theirunleveredcostofcapitalis8.78.8 million per year. Their unlevered cost of capital is 8.7%. Toothy also has 62 million in debt. The tax rate is 30.%. a.What is the valuation of Toothy Ltd if it was only funded by equity capital?b.What is the interest tax shield if the debt incurs an interest rate of 9% per annum?

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Solution

a. The valuation of Toothy Ltd if it was only funded by equity capital can be calculated using the formula for the value of an unlevered firm, which is the pre-tax earnings divided by the unlevered cost of capital.

So, the calculation would be:

8.8million/8.78.8 million / 8.7% = 101.15 million

b. The interest tax shield can be calculated using the formula for the tax shield, which is the debt amount times the interest rate times the tax rate.

So, the calculation would be:

62million962 million * 9% * 30% = 1.67 million

Therefore, the valuation of Toothy Ltd if it was only funded by equity capital is 101.15millionandtheinteresttaxshieldis101.15 million and the interest tax shield is 1.67 million.

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