Use the information for the question(s) below.
Consider two firms, Firm X and Firm Y, that have identical assets that generate identical cash flows. Firm Y is an all-equity firm, with 1 million shares outstanding that trade for a price of $24 per share. Firm X has 2 million shares outstanding and $12 million in debt at an interest rate of 5%.
-Assume that MM's perfect capital markets conditions are met and that you can borrow and lend at the same 5% rate as Firm X. You have $5,000 of your own money to invest and you plan on buying Firm Y stock. Using homemade leverage you borrow enough in your margin account so that the payoff of your margined purchase of Firm Y stock will be the same as a $5,000 investment in Firm X stock. The number of shares of Firm Y stock you purchased is closest to ________.
A) 425
B) 1,650
C) 2,000
D) 825

Question

Quizplus · Accepted Answer

B) Under MM I, the total value of Firm X and Firm Y must be the same.
Value(Firm Y) = 1,000,000 × $24 = $24 million
Value(levered equity) = value(Firm Y) - debt = $24 million - $12 million = $12 million
Price = 11ea84dc_f50a_0f23_9a63_0d88c0a50658_TB1316_11_TB1316_11 = $6.00
So, the leverage ratio of with is 50% equity to 50% debt. To duplicate this in homemade leverage we need to have equal proportions in our portfolio, this means we need 50% equity and 50% from a margin loan. So, $5,000 is our equity and we need to match it with $5,000 in a margin loan. So, the total invested is $10,000 / $6 per share = 1,667 shares.

Use the Information for the Question(s) Below