On its outstanding, perpetual debt, Lobbyists United pays interest of $330000.0 per annum ata rate of 6.0%. The firm pays also corporate tax at a marginal rate of 28.0%. Aside from the presence of corporate taxes, assume that Lobbyists United exists in a world where there are no other capital market imperfections (such as agency costs, the costs of financial distress, etc.). PART A: Calculate the present value of the interest tax shield???Million. (Round to 2 decimal places.) Assume that Lobbyists United also has 180, 000 shares of ordinary equity outstanding that currently trade at a price of $45.37 each. PART B: Given the above information, what would be the percentage weight of debt (i.e. wD) in their capital structure that the firm would use in the calculation of their weighted average cost of capital (i.e. WACC)???%.(Round to 2 decimal places.)
Question
On its outstanding, perpetual debt, Lobbyists United pays interest of 45.37 each. PART B: Given the above information, what would be the percentage weight of debt (i.e. wD) in their capital structure that the firm would use in the calculation of their weighted average cost of capital (i.e. WACC)???%.(Round to 2 decimal places.)
Solution
PART A: The present value of the interest tax shield is calculated as the annual interest expense multiplied by the tax rate, divided by the interest rate. In a world with no capital market imperfections, the tax shield is perpetual and its present value is calculated as:
PV of Interest Tax Shield = (Interest Expense * Tax Rate) / Interest Rate
PV of Interest Tax Shield = ($330,000 * 0.28) / 0.06
Calculating the values, we find:
PV of Interest Tax Shield = $1,540,000
Therefore, the present value of the interest tax shield is $1.54 million.
PART B: To calculate the percentage weight of debt in the capital structure, we first need to calculate the total value of the firm. The total value of the firm is the sum of the value of debt and the value of equity. The value of debt is the present value of the interest tax shield, and the value of equity is the number of shares outstanding multiplied by the price per share:
Value of Debt = PV of Interest Tax Shield = 45.37 = $8,166,600
Total Value of the Firm = Value of Debt + Value of Equity = 8,166,600 = $9,706,600
Now, we can calculate the weight of debt:
wD = Value of Debt / Total Value of the Firm = 9,706,600 = 0.1586
Therefore, the percentage weight of debt in the capital structure is 15.86%.
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