Firms A and B are identical except for their capital structure. A carries no debt, whereas B carries £100m of debt on which it pays a 5% interest rate. Assume no taxes and perfect capital markets...


Firms A and B are identical except for their capital structure. A carries no debt, whereas B carries £100m of debt on which it pays a 5% interest rate. Assume no taxes and perfect capital markets where investors and firms can lend and borrow at the same risk-free rate. The relevant numbers are provided in the following table (in £ m):




Suppose now that an investor with a 5% stake in B would like to sell his shares and take a stake in A, but would like to keep his risk constant.


1) What fraction of A’s equity can he buy with the money raised from the sale of the 5% stake in B and his personal debt?


2) What is the profit from this arbitrage (in £m)?


A<br>В<br>Value of Firm<br>200<br>250<br>Debt<br>100<br>Equity<br>200<br>150<br>Earnings before interest<br>20<br>20<br>Interest payment<br>5<br>Interest rate<br>Not Applicable<br>5%<br>

Extracted text: A В Value of Firm 200 250 Debt 100 Equity 200 150 Earnings before interest 20 20 Interest payment 5 Interest rate Not Applicable 5%

Jun 01, 2022
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