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Harry lnc pays an annual interest expense of $442000.0 at a rate of 6.8% on its outstanding perpetual debt. Harry lnc pays corporate tax at a marginal rate of 27.0%. Aside from the presence of corporate taxes, assume that Harry lnc 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 Harry lnc also has 280, 000 shares of ordinary equity outstanding that currently trade at a price of $54.4 each. PART B: Given the above information, what would be the percentage weight of equity (i.e. We) 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

Harry lnc pays an annual interest expense of 442000.0atarateof6.8Asidefromthepresenceofcorporatetaxes,assumethatHarrylncexistsinaworldwheretherearenoothercapitalmarketimperfections(suchasagencycosts,thecostsoffinancialdistress,etc.).PARTA:Calculatethepresentvalueoftheinteresttaxshield.442000.0 at a rate of 6.8% on its outstanding perpetual debt. Harry lnc pays corporate tax at a marginal rate of 27.0%. Aside from the presence of corporate taxes, assume that Harry lnc 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 Harry lnc also has 280, 000 shares of ordinary equity outstanding that currently trade at a price of $54.4 each. PART B: Given the above information, what would be the percentage weight of equity (i.e. We) 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.)

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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 = ($442,000 * 0.27) / 0.068

Calculating the values, we find:

PV of Interest Tax Shield = $1,759,411.76

Therefore, the present value of the interest tax shield is $1.76 million.

PART B: To calculate the percentage weight of equity 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 = 1,759,411.76ValueofEquity=NumberofSharesPriceperShare=280,0001,759,411.76 Value of Equity = Number of Shares * Price per Share = 280,000 * 54.4 = $15,232,000

Total Value of the Firm = Value of Debt + Value of Equity = 1,759,411.76+1,759,411.76 + 15,232,000 = $16,991,411.76

Now, we can calculate the weight of equity:

wE = Value of Equity / Total Value of the Firm = 15,232,000/15,232,000 / 16,991,411.76 = 0.8964

Therefore, the percentage weight of equity in the capital structure is 89.64%.

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