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As a consultant to First Responder Inc., you have obtained the following data (d

ID: 2654008 • Letter: A

Question

As a consultant to First Responder Inc., you have obtained the following data (dollars in millions). The company plans to pay out all of its earnings as dividends, hence g = 0. Also, no net new investment in operating capital is needed because growth is zero. The CFO believes that a move from zero debt to 55.0% debt would cause the cost of equity to increase from 10.0% to 13.0%, and the interest rate on the new debt would be 8.0%. What would the firm's total market value be if it makes this change? Hints: Find the FCF, which is equal to NOPAT = EBIT(1 - T) because no new operating capital is needed, and then divide by (WACC - g).

$800

40.0%

13.00%

55.0%

8.00%

Oper. income (EBIT)

$800

Tax rate

40.0%

New cost of equity (rs)

13.00%

New

55.0%

Interest rate (rd)

8.00%

Explanation / Answer

WACC = Weighatge of debt * Cost of debt * (1 - tax rate) + Weighatge of equity * Cost of equity

= 55% * 8% * (1 - 40%) + 45% * 13%

= 8.49%

Value of firm = EBIT * (1 - tax rate) / WACC

= $800 * (1 - 40%) / 8.49%

= $5,653.71

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