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Bo Katan ltd will generate pre-tax earnings of $9.4 million per year in perpetuity and assume the unlevered cost of capital is 6.8%. In addition, Bo Katan Ltd has $57 million in permanent debt outstanding. The firm will pay interest only on this debt. Bo Katan Ltd.’s effective tax rate is expected to be 20.0% for the foreseeable future. A. What would be the value of Bo Katan Ltd if it were all-equity financed? (1 mark) The value of Shining light Ltd is $million. (Round to 2 decimal places) B. Suppose Bo Katan Ltd pays interest of 6.0% per year on its debt. What is its annual interest tax shield? (1mark) The annual tax shield is $ ???million. (Round to 2 decimal places.) C. What is the present value of the interest tax shield, assuming its risk is the same as the loan? (1 mark) The present value of the interest tax shield is $???million. (Round to 2 decimal places.)

Question

Bo Katan ltd will generate pre-tax earnings of 9.4millionperyearinperpetuityandassumetheunleveredcostofcapitalis6.89.4 million per year in perpetuity and assume the unlevered cost of capital is 6.8%. In addition, Bo Katan Ltd has 57 million in permanent debt outstanding. The firm will pay interest only on this debt. Bo Katan Ltd.’s effective tax rate is expected to be 20.0% for the foreseeable future. A. What would be the value of Bo Katan Ltd if it were all-equity financed? (1 mark) The value of Shining light Ltd is million.(Roundto2decimalplaces)B.SupposeBoKatanLtdpaysinterestof6.0Theannualtaxshieldismillion. (Round to 2 decimal places) B. Suppose Bo Katan Ltd pays interest of 6.0% per year on its debt. What is its annual interest tax shield? (1mark) The annual tax shield is ???million. (Round to 2 decimal places.) C. What is the present value of the interest tax shield, assuming its risk is the same as the loan? (1 mark) The present value of the interest tax shield is $???million. (Round to 2 decimal places.)

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Solution

A) The value of Bo Katan Ltd if it were all-equity financed can be calculated using the formula for the value of a perpetuity:

Value = Earnings / Cost of Capital = 9.4million/0.068=9.4 million / 0.068 = 138.24 million

Therefore, the value of Bo Katan Ltd if it were all-equity financed would be $138.24 million.

B) The annual interest tax shield can be calculated as the interest paid on the debt multiplied by the tax rate:

Interest Tax Shield = Interest Paid * Tax Rate = (57million0.06)0.20=57 million * 0.06) * 0.20 = 0.684 million

Therefore, the annual interest tax shield is $0.684 million.

C) The present value of the interest tax shield can be calculated as the annual interest tax shield divided by the interest rate on the debt (assuming the risk of the tax shield is the same as the risk of the loan):

PV of Interest Tax Shield = Interest Tax Shield / Interest Rate = 0.684million/0.06=0.684 million / 0.06 = 11.4 million

Therefore, the present value of the interest tax shield is $11.4 million.

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