Given the following choices, what is the optimal capital structure for Chip Co.? (Assume that the company's growth rate is 2 percent.)
Debt Ratio -
Dividends -
Per Share ($)
Cost of Equity -
0%5.5011.5%
256.0012.0
406.5013.0
507.0014.0
757.5015.0
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A. B. C. D. E.C
First, calculate the stock price for each debt level using the dividend growth model, Po = D1/(ks - g).
Debt Div/share ksPo -
0%$5.5011.5% $5.50/(0.115 - 0.02) = $57.89.
25%6.0012%$6.00/(0.12 - 0.02) = $60.00.
40%6.5013%$6.50/(0.13 - 0.02) = $59.09.
50%7.0014%$7.00/(0.14 - 0.02) = $58.33.
75%7.5015%$7.50/(0.15 - 0.02) = $57.69.
Clearly, $60.00 is the highest price, so 25% debt and 75% equity is the optimal capital structure.