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Cooke Co. is comparing two different capital structures. Plan I would result in

ID: 2713994 • Letter: C

Question

Cooke Co. is comparing two different capital structures. Plan I would result in 9,000 shares of stock and $306,000 in debt. Plan II would result in 12,150 shares of stock and $198,900 in debt. The interest rate on the debt is 10 percent. The all-equity plan would result in 18,000 shares of stock outstanding. Ignore taxes for this problem.

What is the price per share of equity under Plan I?

What is the price per share of equity under Plan II?

Cooke Co. is comparing two different capital structures. Plan I would result in 9,000 shares of stock and $306,000 in debt. Plan II would result in 12,150 shares of stock and $198,900 in debt. The interest rate on the debt is 10 percent. The all-equity plan would result in 18,000 shares of stock outstanding. Ignore taxes for this problem.

Explanation / Answer

a) What is the price per share of equity under Plan I?

Plan I

Current Share Outstanding = 9000

Debt = 306000

All Equity Plan , Share Outstanding = 18000

Current Proportion of Equity Ratio = 9000/18000 = 50%

Current value of Equity = Debt /(1-Equity Ratio) * Equity Ratio

Current value of Equity = 306000/(1-50%) * 50%

Current value of Equity = 306000

Price per share = Current value of Equity /Current Share Outstanding

Price per share = 306000/9000

Price per share = $ 34

b) What is the price per share of equity under Plan II?

Plan II

Current Share Outstanding = 12150

Debt = 198900

All Equity Plan , Share Outstanding = 18000

Current Proportion of Equity Ratio = 12150/18000 = 67.50%%

Current value of Equity = Debt /(1-Equity Ratio) * Equity Ratio

Current value of Equity = 198900/(1-67.50%) * 67.50%

Current value of Equity = 413100

Price per share = Current value of Equity /Current Share Outstanding

Price per share = 413100/12150

Price per share = $ 34