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EpiscoWhat EpiscoWhat
wrote...
Posts: 268
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6 years ago
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 Without stock.  Using homemade leverage you borrow enough in your margin account so that the payoff of your margined purchase of Without stock will be the same as a $5000 investment in with stock.  The number of shares of Without stock you purchased is closest to:
A) 425
B) 1650
C) 2000
D) 825
Textbook 
Corporate Finance: The Core

Corporate Finance: The Core


Edition: 4th
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wrote...
6 years ago
B
Explanation:  B) Under MM I, the total value of With and Without must be the same.

Value(Without) = 1,000,000 × $24 = $24 million
Value(levered equity) = value(With) - debt = $24 M - $12M = $12 M
Price per share =   = $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 $5000 is our equity we need to match it with $5000 in a margin loan.  So the total invested is $10,000/$6 per share = 1667 shares
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