Question: THE BELOW INFORMATION WAS ALL THAT WAS GIVEN. Please show work and highlight answer. PLEASE COMPLETE THE LAST 4 PARTS (5-8) THAT ARE BOLDED WITHOUT
THE BELOW INFORMATION WAS ALL THAT WAS GIVEN. Please show work and highlight answer. PLEASE COMPLETE THE LAST 4 PARTS (5-8) THAT ARE BOLDED WITHOUT ANSWERS, [1-4 have already been answered], AS IT IS A COMPOUNDING QUESTION and as part of Chegg's guidelines, compounding questions must be answered up to 4 parts.
Given:
Assume no bankruptcy. Consider the following information of a firm:
Market value of equity, E = $100 billion.
Total Firm value is $120 billion
WACC = 10%
Cost of debt, RD = 1.5%
Tax rate TC = 21%
Also assume that the market expected return = 12%
In all of the following answers, round to two decimal (e.g., 1.23). For those requiring a percentage answer, input 11.11 if your answer is 11.11%, WITHOUT the % in your typed answer.
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What is the present value of tax shield ___ billion.
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Total firm value = market value of equity + market value of debt
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So, market value of debt = 120 billion - 100 billion = 20 billion
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Present value of tax shield = value of debt* tax rate = 20 billion * 21% = 4.20 billion
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What is the value of the unlevered firm (zero debt but same assets) ___ billion.
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Value of unlevered firm = Value of levered firm - present value of tax shield = 120 billion - 4.2 billion = 115.80 billion
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What is the cost of capital for an unlevered firm ___ %.
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We know:
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WACC = REL * We + Rp*Wd*(1 Tac rate...................(1)
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WACC= 10%
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R_{EL} = Cost of levered equity
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We = weight of equity = 100/120 = 83.33%
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RI = cost of debt = 1.5%
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Wd = weight of debt = 1- 83.33% = 16.67%
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So, W ACC = 10% = REL* 83.33% + 1.5% * 16.67% *(1-21%)
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So, REL *83.33% 10% 1.5% * 16.67%* (1 21%) = 9.80%
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So, R_{EL} = 9.80%/83.33% = 11.76
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Now, from the MM proposition we know:
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REL = REU + D/E) *(1-TC) * (REU [) RD.....................(2)
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R_{EU}= cost of unlevered equity
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R_{EL} = cost of levered equity = 11.76%
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To = tax rate = 21%
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D/E = debt to equity ratio = 20/100 = 20%
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RI = cost of debt = 1.5%
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From (2) we get:
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11.76% = REU + 20%* (1 21%) * (REU 1.5%
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Or, 11.76% = REU + 0.158 * (REU 1.5%)
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Or, 11.76% = R_{EU} + 0.158* R_{EU} - 0.24%
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Or, 1.158 * REU = 11.76% +0.24% 12.00%
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Or, R_{EU} = 12.00%/1.158 = 10.36%
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Cost of unlevered firm = 10.36
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What is the beta for the unlevered firm?
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From CAPM model:
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REU = RF + beta * (RM RF)..........................(3)
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R_{EU} = 10.36%
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R_F = 1.5% (we assume for simplicity the risk-free return is the cost of debt)
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R_M = 12%
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from (3) we get
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10.36% = 1.5% + beta*(12%-1.5%)
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Or, beta*(12%-1.5%) = 10.36%-1.5% = 8.86%
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Or, beta * 10.50% = 8.86%
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Or, beta = 8.86%/10.50% = 0.84
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Beta of unlevered firm = 0.84
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Suppose the firm can issue 10 billion more debt at the current rate and use the proceeds to buy back equity.
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What is the new equity beta
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What is the new equity value? ___ billion
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What is the new firm value? ___ billion
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What is the new WACC? ___ %
THE ABOVE INFORMATION WAS ALL THAT WAS GIVEN. Please show work and highlight answer. PLEASE COMPLETE THE LAST 4 PARTS (5-8) THAT ARE BOLDED WITHOUT ANSWERS, [1-4 have already been answered], AS IT IS A COMPOUNDING QUESTION and as part of Chegg's guidelines, compounding questions must be answered up to 4 parts.
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