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Consider two firms operating in perfect capital markets, With and Without, that have identical assets that generate identical cash flows. Without is an all-equity firm, with 1 million shares outstanding that trade for a price of $24 per share. With has 2 million shares outstanding and $12 million dollars in debt at an interest rate of 5%. According to MM Proposition 1, the stock price for With is closest to:A.$12.00B.$8.00C.$24.00D.$6.00

Question

Consider two firms operating in perfect capital markets, With and Without, that have identical assets that generate identical cash flows. Without is an all-equity firm, with 1 million shares outstanding that trade for a price of 24pershare.Withhas2millionsharesoutstandingand24 per share. With has 2 million shares outstanding and 12 million dollars in debt at an interest rate of 5%. According to MM Proposition 1, the stock price for With is closest to:A.12.00B.12.00B.8.00C.24.00D.24.00D.6.00

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Solution

According to Modigliani-Miller (MM) Proposition 1, in a world without taxes, bankruptcy costs, and asymmetric information, and in an efficient market, the value of a firm is unaffected by how that firm is financed.

So, the total value of both firms should be the same.

The total value of Without is the share price multiplied by the number of shares, which is 241million=24 * 1 million = 24 million.

With has 2 million shares outstanding and 12millionindebt.So,thetotalvalueofWithshouldalsobe12 million in debt. So, the total value of With should also be 24 million.

The stock price for With can be calculated by subtracting the value of the debt from the total value of the firm and then dividing by the number of shares.

So, the stock price for With is (24million24 million - 12 million) / 2 million = $12 / share.

Therefore, the correct answer is A. $12.00.

This problem has been solved

Similar Questions

Consider two firms, With and Without, that have identical assets that generate identical cash flows. Without is an all-equity firm, with 1 million shares outstanding that trade for a price of $24 per share. With has 2 million shares outstanding and $12 million in debt at an interest rate of 5%.Assume that MM's perfect capital market conditions are met and that you can borrow and lend at the same 5% rate as With. You have $5000 of your own money to invest and you plan on buying With stock. Using homemade (un)leverage, how much do you need to invest at the risk-free rate so that the payoff of your account will be the same as a $5000 investment in Without stock?Group of answer choices$4000$5000$2500$0

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