question archive Consider two firms, Firm L and Firm U, that have identical assets that generate identical cash flows

Consider two firms, Firm L and Firm U, that have identical assets that generate identical cash flows

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Consider two firms, Firm L and Firm U, that have identical assets that generate identical cash flows. Firm U is an all-equity firm, with 1 million shares outstanding that trade for a price of $24 per share. Firm L has 2 million shares outstanding and $12 million in debt at an interest rate of 5%.

Assume that Modigliani and Miller's (1958) perfect capital markets conditions are met and that you can borrow and lend at the same 5% rate as Firm L. You have $5,000 of your own money to invest and you plan on buying Firm U stock. Using homemade leverage, you borrow enough in your margin account so that the payoff of your margin purchase of Firm U stock will be the same as a $5,000 investment in Firm L stock. The number of shares of Firm U stock you purchased is closest to

Select one:

a. 208

b. 21

c. 417

d. 1667

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Answer:

As per MM approach,value of levered firm is equal to value of unlevered firm,thus the market value of firm L shall be equal to market value of firm U and thereby share price of both firm shall be same i.e. $24

Thus,no. of shares that can be purchased with $10000 is closest to;

=$10,000/$24=416.67 shares

=417 shares

thus correct answer is option C