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)?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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
В
Value of Firm
200
250
Debt
100
Equity
200
150
Earnings before interest
20
20
Interest payment
5
Interest rate
Not Applicable
5%
Transcribed Image 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%
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